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[WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{Upsilon_state_transition}{}}\Hy@raisedlink{\hypertarget{Upsilon}{}}\boldsymbol{\sigma}_{t+1} \equiv \Upsilon(\boldsymbol{\sigma}_{t}, T)', rendering as TeX: \Hy@raisedlink{\hypertarget{Upsilon_stat ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}_{t+1} & \equiv & \hyperlink{Pi}{\Pi}(\boldsymbol{\sigma}_{t}, B) \\ B & \equiv & (..., (T_0, T_1, ...), ...) \\ \Pi(\boldsymbol{\sigma}, B) & \equiv & \hyperlink{Omega}{\Omega}(B, \hyperlink{Upsilon}{\Upsilon}(\Upsilon(\boldsymbol{\sigma}, T_0), T_1) ...)\end{aligned}', rendering as TeX: }_{t+1} & \equiv & \hyperlink{Pi}{\Pi}(\ ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\hyperlink{Pi}{\Pi}', rendering as TeX: \hyperlink{Pi}{\Pi} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{chain_id}{}} \beta = 1', rendering as TeX: \Hy@raisedlink{\hypertarget{chain_id}{}} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{L_transaction}{}} L_{\mathrm{T}}(T) \equiv \begin{cases} (T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, T_{\mathrm{w}}, T_{\mathrm{r}}, T_{\mathrm{s}}) & \text{if} \; T_{\mathrm{x}} = 0 \\ (T_{\mathrm{c}}, T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, T_{\mathbf{A}}, T_{\mathrm{y}}, T_{\mathrm{r}}, T_{\mathrm{s}}) & \text{if} \; T_{\mathrm{x}} = 1 \\ \end{cases}', rendering as TeX: \Hy@raisedlink{\hypertarget{L_transactio ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\mathbf{p} \equiv \begin{cases} T_{\mathbf{i}} & \text{if}\ T_{\mathrm{t}} = \varnothing \\ T_{\mathbf{d}} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{array}[t]{lclclc} T_{\mathrm{x}} \in \{0, 1\} & \wedge & T_{\mathrm{c}} = \beta & \wedge & T_{\mathrm{n}} \in \mathbb{N}_{256} & \wedge \\ T_{\mathrm{p}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{g}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{v}} \in \mathbb{N}_{256} & \wedge \\ T_{\mathrm{w}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{r}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{s}} \in \mathbb{N}_{256} & \wedge \\ T_{\mathrm{y}} \in \mathbb{N}_{1} & \wedge & T_{\mathbf{d}} \in \mathbb{B} & \wedge & T_{\mathbf{i}} \in \mathbb{B} \end{array}', rendering as TeX: \begin{array}[t]{lclclc} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'T_{\mathbf{t}} \in \begin{cases} \mathbb{B}_{20} & \text{if} \quad T_{\mathrm{t}} \neq \varnothing \\ \mathbb{B}_{0} & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'M(O) \equiv \hyperlink{bigvee}{\bigvee}_{x \in \{O_{\mathrm{a}}\} \cup O_{\mathbf{t}}} \big( M_{3:2048}(x) \big)', rendering as TeX: ) \equiv \hyperlink{bigvee}{\bigvee}_{x ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} M_{3:2048}(\mathbf{x}: \mathbf{x} \in \mathbb{B}) & \equiv & \mathbf{y}: \mathbf{y} \in \mathbb{B}_{256} \quad \text{where:}\\ \mathbf{y} & = & (0, 0, ..., 0) \quad \text{except:}\\ \forall i \in \{0, 2, 4\}&:&\mathcal{B}_{2047 - m(\mathbf{x}, i)}(\mathbf{y}) = 1\\ m(\mathbf{x}, i) &\equiv& \mathtt{KEC}(\mathbf{x})[i, i + 1] \bmod 2048\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{array}[t]{lclc} \Hy@raisedlink{\hypertarget{new_state_H__r}{}}{}H_{\mathrm{r}} &\equiv& \mathtt{TRIE}(L_S(\Pi(\boldsymbol{\sigma}, B))) & \wedge \\ \Hy@raisedlink{\hypertarget{Ommer_block_hash_H__o}{}}{}H_{\mathrm{o}} &\equiv& \mathtt{KEC}(\mathtt{RLP}(L_H^*(B_{\mathbf{U}}))) & \wedge \\ \Hy@raisedlink{\hypertarget{tx_block_hash_H__t}{}}{}H_{\mathrm{t}} &\equiv& \mathtt{TRIE}(\{\forall i < \lVert B_{\mathbf{T}} \rVert, i \in \mathbb{N}: &\\&& \quad\quad p_{\mathrm{T}}(i, B_{\mathbf{T}}[i])\}) & \wedge \\ \Hy@raisedlink{\hypertarget{Receipts_Root_H__e}{}}{}H_{\mathrm{e}} &\equiv& \mathtt{TRIE}(\{\forall i < \lVert B_{\mathbf{R}} \rVert, i \in \mathbb{N}: &\\&& \quad\quad p_{\mathrm{R}}(i, B_{\mathbf{R}}[i])\}) & \wedge \\ \Hy@raisedlink{\hypertarget{logs_Bloom_filter_H__b}{}}{}H_{\mathrm{b}} &\equiv& \bigvee_{\mathbf{r} \in B_{\mathbf{R}}} \big( \mathbf{r}_{\mathrm{b}} \big) \end{array}', rendering as TeX: \begin{array}[t]{lclc} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'p_{\mathrm{T}}(k, T) \equiv \left( \mathtt{RLP}(k), \begin{cases} \mathtt{RLP}(\hyperlink{L_transaction}{L_{\mathrm{T}}}(T)) & \text{if} \quad T_{\mathrm{x}} = 0 \\ (T_{\mathrm{x}}) \cdot \mathtt{RLP}(L_{\mathrm{T}}(T)) & \text{otherwise} \end{cases} \right)', rendering as TeX: htt{RLP}(\hyperlink{L_transaction}{L_{\m ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'p_{\mathrm{R}}(k, R) \equiv \left( \mathtt{RLP}(k), \begin{cases} \mathtt{RLP}(\hyperlink{L__R}{L_{\mathrm{R}}}(R)) & \text{if} \quad R_{\mathrm{x}} = 0 \\ (R_{\mathrm{x}}) \cdot \mathtt{RLP}(L_{\mathrm{R}}(R)) & \text{otherwise} \end{cases} \right)', rendering as TeX: htt{RLP}(\hyperlink{L__R}{L_{\mathrm{R}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \quad L_{\mathrm{H}}(H) & \equiv & (\begin{array}[t]{l}H_{\mathrm{p}}, H_{\mathrm{o}}, H_{\mathrm{c}}, H_{\mathrm{r}}, H_{\mathrm{t}}, H_{\mathrm{e}}, H_{\mathrm{b}}, H_{\mathrm{d}},\\ H_{\mathrm{i}}, H_{\mathrm{l}}, H_{\mathrm{g}}, H_{\mathrm{s}}, H_{\mathrm{x}}, H_{\mathrm{m}}, H_{\mathrm{n}} \; )\end{array} \\ \quad L_{\mathrm{B}}(B) & \equiv & \big( L_{\mathrm{H}}(B_{\mathrm{H}}), \widetilde{L}_{\mathrm{T}}^*(B_{\mathbf{T}}), L_{\mathrm{H}}^*(\hyperlink{ommer_block_headers_B__U}{B_{\mathbf{U}}}) \big)\end{aligned}', rendering as TeX: H}}(H) & \equiv & (\begin{array}[t]{l}H_ ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\widetilde{L}_{\mathrm{T}}(T) = \begin{cases} \hyperlink{L_transaction}{L_{\mathrm{T}}}(T) & \text{if} \quad T_{\mathrm{x}} = 0 \\ (T_{\mathrm{x}}) \cdot \mathtt{RLP}(L_{\mathrm{T}}(T)) & \text{otherwise} \end{cases}', rendering as TeX: \hyperlink{L_transaction}{L_{\mathrm{T}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{array}[t]{lclclcl} \hyperlink{parent_Hash_H__p_def_words}{H_{\mathrm{p}}} \in \mathbb{B}_{32} & \wedge & H_{\mathrm{o}} \in \mathbb{B}_{32} & \wedge & H_{\mathrm{c}} \in \mathbb{B}_{20} & \wedge \\ \hyperlink{new_state_H__r}{H_{\mathrm{r}}} \in \mathbb{B}_{32} & \wedge & H_{\mathrm{t}} \in \mathbb{B}_{32} & \wedge & \hyperlink{Receipts_Root_H__e}{H_{\mathrm{e}}} \in \mathbb{B}_{32} & \wedge \\ \hyperlink{logs_Bloom_filter_H__b}{H_{\mathrm{b}}} \in \mathbb{B}_{256} & \wedge & H_{\mathrm{d}} \in \mathbb{N} & \wedge & \hyperlink{block_number_H__i}{H_{\mathrm{i}}} \in \mathbb{N} & \wedge \\ \hyperlink{block_gas_limit_H__l}{H_{\mathrm{l}}} \in \mathbb{N} & \wedge & H_{\mathrm{g}} \in \mathbb{N} & \wedge & \hyperlink{block_timestamp_H__s}{H_{\mathrm{s}}} \in \mathbb{N}_{256} & \wedge \\ \hyperlink{block_extraData_H__x}{H_{\mathrm{x}}} \in \mathbb{B} & \wedge & H_{\mathrm{m}} \in \mathbb{B}_{32} & \wedge & \hyperlink{block_nonce_H__n}{H_{\mathrm{n}}} \in \mathbb{B}_{8} \end{array}', rendering as TeX: \begin{array}[t]{lclclcl} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'P(H) \equiv B': \mathtt{KEC}(\mathtt{RLP}(B'_{\mathrm{H}})) = \hyperlink{parent_Hash_H__p_def_words}{H_{\mathrm{p}}}', rendering as TeX: {H}})) = \hyperlink{parent_Hash_H__p_def ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'D(H) \equiv \begin{dcases} 2^{34} & \text{if} \quad H_{\mathrm{i}} = 0\\ \text{max}\!\left(D_\mathrm{min}, {P(H)_{\mathrm{H}}}_{\mathrm{d}} + x\times\ensuremath{\varsigma_2}+ \ensuremath{\epsilon}\right) & \text{otherwise}\\ \end{dcases}', rendering as TeX: D(H) \equiv \begin{dcases} ^ unexpected "d" expecting white space or "Bmatrix", "Vmatrix", "align", "alignat", "aligned", "alignedat", "array", "bmatrix", "cases", "eqnarray", "equation", "flalign", "flaligned", "gather", "gathered", "matrix", "multline", "pmatrix", "smallmatrix", "split", "vmatrix" [WARNING] Could not convert TeX math '\begin{aligned} D_\mathrm{min}&\equiv 2^{17} \\ x&\equiv \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{d}}}{2048}\right\rfloor \\ \ensuremath{\varsigma_2}&\equiv \text{max}\left( y - \left\lfloor\frac{H_{\mathrm{s}} - {P(H)_{\mathrm{H}}}_{\mathrm{s}}}{9}\right\rfloor, -99 \right) \\ y &\equiv \begin{cases} 1 & \text{if} \quad \lVert P(H)_{\mathbf{U}}\rVert = 0 \\ 2 & \text{otherwise} \end{cases} \\ \ensuremath{\epsilon}&\equiv \left\lfloor 2^{ \left\lfloor H'_{\mathrm{i}} \div 100000 \right\rfloor - 2 } \right\rfloor \\ H'_{\mathrm{i}} &\equiv \max(H_{\mathrm{i}} - \kappa, 0)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\kappa \equiv \begin{cases} 3000000 & \text{if} \quad F_{\mathrm{Byzantium}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Constantinople}} \\ 5000000 & \text{if} \quad F_{\mathrm{Constantinople}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Muir Glacier}} \\ 9000000 & \text{if} \quad F_{\mathrm{Muir Glacier}} \leqslant H_{\mathrm{i}} < F_{\mathrm{London}} \\ 9700000 & \text{if} \quad F_{\mathrm{London}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Arrow Glacier}} \\ 10700000 & \text{if} \quad F_{\mathrm{Arrow Glacier}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Gray Glacier}} \\ 11400000 & \text{if} \quad H_{\mathrm{i}} \geqslant F_{\mathrm{Gray Glacier}} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} & & H_{\mathrm{l}} < {P(H)_{\mathrm{H}}}_{\mathrm{l}} + \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} > {P(H)_{\mathrm{H}}}_{\mathrm{l}} - \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} \geqslant 5000\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math 'n \leqslant \frac{2^{256}}{H_{\mathrm{d}}} \quad \wedge \quad m = H_{\mathrm{m}}', rendering as TeX [WARNING] Could not convert TeX math '(n, m) = \mathtt{PoW}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }, H_{\mathrm{n}}, \mathbf{d})', rendering as TeX: = \mathtt{PoW}(H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math 'H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }', rendering as TeX: H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\begin{aligned} V(H) & \equiv & n \leqslant \frac{2^{256}}{H_{\mathrm{d}}} \wedge m = H_{\mathrm{m}} \quad \wedge \\ \nonumber & & H_{\mathrm{d}} = D(H) \quad \wedge \\ \nonumber& & H_{\mathrm{g}} \le H_{\mathrm{l}} \quad \wedge \\ \nonumber& & H_{\mathrm{l}} < {P(H)_{\mathrm{H}}}_{\mathrm{l}} + \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} > {P(H)_{\mathrm{H}}}_{\mathrm{l}} - \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} \geqslant 5000 \quad \wedge \\ \nonumber& & H_{\mathrm{s}} > {P(H)_{\mathrm{H}}}_{\mathrm{s}} \quad \wedge \\ \nonumber& & H_{\mathrm{i}} = {P(H)_{\mathrm{H}}}_{\mathrm{i}} +1 \quad \wedge \\ \nonumber& & \lVert H_{\mathrm{x}} \rVert \le 32\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '(n, m) = \mathtt{PoW}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }, H_{\mathrm{n}}, \mathbf{d})', rendering as TeX: = \mathtt{PoW}(H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\hyperlink{precompiled_set}{\pi}', rendering as TeX: \hyperlink{precompiled_set}{\pi} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} g_0 \equiv {} & \sum_{i \in T_{\mathbf{i}}, T_{\mathbf{d}}} \begin{cases} \hyperlink{G__txdatazero}{G_{\mathrm{txdatazero}}} & \text{if} \quad i = 0 \\ \hyperlink{G__txdatanonzero}{G_{\mathrm{txdatanonzero}}} & \text{otherwise} \end{cases} \\ \nonumber {} & + \begin{cases} \hyperlink{G__txcreate}{G_{\mathrm{txcreate}}} & \text{if} \quad T_{\mathrm{t}} = \varnothing \\ 0 & \text{otherwise} \end{cases} \\ \nonumber {} & + \hyperlink{G__transaction}{G_{\mathrm{transaction}}} \\ \nonumber {} & + \sum_{j = 0}^{\lVert T_{\mathbf{A}} \rVert - 1} \big( G_{\mathrm{accesslistaddress}} + \lVert T_{\mathbf{A}}[j]_{\mathbf{s}} \rVert G_{\mathrm{accessliststorage}} \big)\end{aligned}', rendering as TeX: }, T_{\mathbf{d}}} \begin{cases} \hyperl ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\hyperlink{G__accesslistaddress}{G_{\mathrm{accesslistaddress}}}', rendering as TeX: \hyperlink{G__accesslistaddress}{G_{\mat ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{G__accessliststorage}{G_{\mathrm{accessliststorage}}}', rendering as TeX: \hyperlink{G__accessliststorage}{G_{\mat ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'v_0 \equiv \hyperlink{tx_gas_limit_T__g}{T_{\mathrm{g}}} \hyperlink{tx_gas_price_T__p}{T_{\mathrm{p}}} + \hyperlink{tx_value_T__v}{T_{\mathrm{v}}}', rendering as TeX: 0 \equiv \hyperlink{tx_gas_limit_T__g}{T ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{array}[t]{rcl} S(T) & \neq & \varnothing \quad \wedge \\ \boldsymbol{\sigma}[S(T)]_{\mathrm{c}} & = & \texttt{KEC}\big( () \big) \quad \wedge \\ \Hy@raisedlink{\hypertarget{transaction_nonce}{}}{}T_{\mathrm{n}} & = & \boldsymbol{\sigma}[S(T)]_{\mathrm{n}} \quad \wedge \\ g_0 & \leqslant & T_{\mathrm{g}} \quad \wedge \\ v_0 & \leqslant & \boldsymbol{\sigma}[S(T)]_{\mathrm{b}} \quad \wedge \\ T_{\mathrm{g}} & \leqslant & {B_{\mathrm{H}}}_{\mathrm{l}} - \hyperlink{ell}{\ell}(B_{\mathbf{R}})_{\mathrm{u}} \end{array}', rendering as TeX: \begin{array}[t]{rcl} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math '\hyperlink{ell}{\ell}(B_{\mathbf{R}})_{\mathrm{u}}', rendering as TeX: \hyperlink{ell}{\ell}(B_{\mathbf{R}})_{\ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Hy@raisedlink{\hypertarget{sigma_0}{}}{}\boldsymbol{\sigma}_0 & \equiv & \boldsymbol{\sigma} \quad \text{except:} \\ \boldsymbol{\sigma}_0[S(T)]_{\mathrm{b}} & \equiv & \boldsymbol{\sigma}[S(T)]_{\mathrm{b}} - T_{\mathrm{g}} T_{\mathrm{p}} \\ \boldsymbol{\sigma}_0[S(T)]_{\mathrm{n}} & \equiv & \boldsymbol{\sigma}[S(T)]_{\mathrm{n}} + 1\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{sigma_0}{}}{ ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}_{\mathrm{P}}, g', A, z) \equiv \begin{cases} \hyperlink{lambda}{\Lambda}_{4}(\boldsymbol{\sigma}_0, A^*, S(T), S(T), g, &\\ \quad\; T_{\mathrm{p}}, T_{\mathrm{v}}, T_{\mathbf{i}}, 0, \varnothing, \top) & \text{if} \quad T_{\mathrm{t}} = \varnothing \\ \hyperlink{theta}{\Theta}_{4}(\boldsymbol{\sigma}_0, A^*, S(T), S(T), T_{\mathrm{t}}, &\\ \quad\; T_{\mathrm{t}}, g, T_{\mathrm{p}}, T_{\mathrm{v}}, T_{\mathrm{v}}, T_{\mathbf{d}}, 0, \top) & \text{otherwise} \end{cases}', rendering as TeX: \hyperlink{lambda}{\Lambda}_{4}(\boldsym ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} A^* & \equiv A^0 \quad \text{except} \\ A^*_{\mathbf{a}} & \equiv A^0_{\mathbf{a}} \cup \{S(T)\} \cup_{E \in T_{\mathbf{A}}} \{ \hyperlink{access_list_entry}{E}_{\mathrm{a}} \} \\ A^*_{\mathbf{K}} & \equiv \bigcup_{E \in T_{\mathbf{A}}} \big\{ \forall i < \lVert E_{\mathbf{s}} \rVert, i \in \mathbb{N}: \; (E_{\mathrm{a}}, E_{\mathbf{s}}[i]) \big\}\end{aligned}', rendering as TeX: T_{\mathbf{A}}} \{ \hyperlink{access_lis ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}_{4}', rendering as TeX: \hyperlink{theta}{\Theta}_{4} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{lambda}{\Lambda}_{4}', rendering as TeX: \hyperlink{lambda}{\Lambda}_{4} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'g^* \equiv g' + \min \left\{ \Big\lfloor \dfrac{T_{\mathrm{g}} - g'}{2} \Big\rfloor, A'_{\mathrm{r}} \right\}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}^* & \equiv & \boldsymbol{\sigma}_{\mathrm{P}} \quad \text{except} \\ \boldsymbol{\sigma}^*[S(T)]_{\mathrm{b}} & \equiv & \boldsymbol{\sigma}_{\mathrm{P}}[S(T)]_{\mathrm{b}} + g^* T_{\mathrm{p}} \\ \boldsymbol{\sigma}^*[m]_{\mathrm{b}} & \equiv & \boldsymbol{\sigma}_{\mathrm{P}}[m]_{\mathrm{b}} + (T_{\mathrm{g}} - g^*) T_{\mathrm{p}} \\ m & \equiv & {B_{\mathrm{H}}}_{\mathrm{c}}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}' & \equiv & \boldsymbol{\sigma}^* \quad \text{except} \\ \Hy@raisedlink{\hypertarget{self_destruct_list_A__s}{}}{}\forall i \in A_{\mathbf{s}}: \boldsymbol{\sigma}'[i] & = & \varnothing \\ \Hy@raisedlink{\hypertarget{touched_A__t}{}}{}\forall i \in A_{\mathbf{t}}: \boldsymbol{\sigma}'[i] & = & \varnothing \quad\text{if}\quad \mathtt{DEAD}(\boldsymbol{\sigma}^*\kern -2pt, i)\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{self_destruc ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Upsilon^{\mathrm{g}}(\boldsymbol{\sigma}, T) & \equiv & T_{\mathrm{g}} - g^* \\ \Upsilon^{\mathbf{l}}(\boldsymbol{\sigma}, T) & \equiv & \hyperlink{tx_log_series_wordy_defn_A__l}{A_{\mathbf{l}}} \\ \Upsilon^{\mathrm{z}}(\boldsymbol{\sigma}, T) & \equiv & z\end{aligned}', rendering as TeX: ma}, T) & \equiv & \hyperlink{tx_log_ser ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} a & \equiv \mathtt{ADDR}(s, \boldsymbol{\sigma}[s]_{\mathrm{n}} - 1, \zeta, \mathbf{i}) \\ \label{eq:new-address} \mathtt{ADDR}(s, n, \zeta, \mathbf{i}) & \equiv \mathcal{B}_{96..255}\Big(\mathtt{KEC}\big( L_{\mathrm{A}}(s, n, \zeta, \mathbf{i})\big) \Big) \\ L_{\mathrm{A}}(s, n, \zeta, \mathbf{i}) & \equiv \begin{cases} \mathtt{RLP}\big(\;(s, n)\;\big) & \text{if}\ \zeta = \varnothing \\ (255) \cdot s \cdot \zeta \cdot \mathtt{KEC}(\mathbf{i}) & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}^*[a] &=& \big( 1, v + v', \mathtt{\hyperlink{trie}{TRIE}}(\varnothing), \mathtt{KEC}\big(()\big) \big) \\ \boldsymbol{\sigma}^*[s] &=& \begin{cases} \varnothing & \text{if}\ \boldsymbol{\sigma}[s] = \varnothing \ \wedge\ v = 0 \\ \mathbf{a}^* & \text{otherwise} \end{cases} \\ \mathbf{a}^* &\equiv& (\boldsymbol{\sigma}[s]_{\mathrm{n}}, \boldsymbol{\sigma}[s]_{\mathrm{b}} - v, \boldsymbol{\sigma}[s]_{\mathbf{s}}, \boldsymbol{\sigma}[s]_{\mathrm{c}})\end{aligned}', rendering as TeX: & \big( 1, v + v', \mathtt{\hyperlink{tr ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math 'v' \equiv \begin{cases} 0 & \text{if} \quad \boldsymbol{\sigma}[a] = \varnothing\\ \boldsymbol{\sigma}[a]_{\mathrm{b}} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\hyperlink{xi_def}{\Xi}', rendering as TeX: \hyperlink{xi_def}{\Xi} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}^{**}, g^{**}, A^{**}, \mathbf{o}) \equiv \Xi(\boldsymbol{\sigma}^*, g, A^*, I) \\', rendering as TeX: a}^*, g, A^*, I) \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} I_{\mathrm{a}} & \equiv & a \\ I_{\mathrm{o}} & \equiv & o \\ I_{\mathrm{p}} & \equiv & p \\ I_{\mathbf{d}} & \equiv & () \\ I_{\mathrm{s}} & \equiv & s \\ \hyperlink{I__v}{I_{\mathrm{v}}} & \equiv & v \\ I_{\mathbf{b}} & \equiv & \mathbf{i} \\ I_{\mathrm{e}} & \equiv & e \\ I_{\mathrm{w}} & \equiv & w\end{aligned}', rendering as TeX: \hyperlink{I__v}{I_{\mathrm{v}}} & \equi ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \quad g' \equiv & \begin{cases} 0 & \text{if} \quad F \\ g^{**} - c & \text{otherwise} \\ \end{cases} \\ \quad \boldsymbol{\sigma}' \equiv & \begin{cases} \boldsymbol{\sigma} & \text{if} \quad F \ \lor\ \boldsymbol{\sigma}^{**} = \varnothing \\ \boldsymbol{\sigma}^{**} \quad \text{except:} & \\ \quad\boldsymbol{\sigma}'[a] = \varnothing & \text{if} \quad \mathtt{DEAD}(\boldsymbol{\sigma}^{**}, a) \\ \boldsymbol{\sigma}^{**} \quad \text{except:} & \\ \quad\boldsymbol{\sigma}'[a]_{\mathrm{c}} = \texttt{KEC}(\mathbf{o}) & \text{otherwise} \end{cases} \\ \quad A' \equiv & \begin{cases} A^* & \text{if} \quad F \ \lor\ \boldsymbol{\sigma}^{**} = \varnothing \\ A^{**} & \text{otherwise} \\ \end{cases} \\ \quad z \equiv & \begin{cases} 0 & \text{if} \quad F \ \lor\ \boldsymbol{\sigma}^{**} = \varnothing \\ 1 & \text{otherwise} \end{cases} \\ \nonumber \text{where} \\ F \equiv & \big( \boldsymbol{\sigma}[a] \neq \varnothing \ \wedge\ \big(\boldsymbol{\sigma}[a]_c \neq \texttt{\small KEC}\big(()\big) \vee \boldsymbol{\sigma}[a]_n \neq 0 \big) \big) \quad \vee \\ \nonumber &(\boldsymbol{\sigma}^{**} = \varnothing \ \wedge\ \mathbf{o} = \varnothing) \quad \vee \\ \nonumber &g^{**} < c \quad \vee \\ \nonumber &\lVert \mathbf{o} \rVert > 24576\end{aligned}', rendering as TeX: {\sigma}[a]_c \neq \texttt{\small KEC}\b ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', z, \mathbf{o}) \equiv \Hy@raisedlink{\hypertarget{theta}{}}{\Theta}(\boldsymbol{\sigma}, A, s, o, r, c, g, p, v, \tilde{v}, \mathbf{d}, e, w)', rendering as TeX: thbf{o}) \equiv \Hy@raisedlink{\hypertar ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\sigma}_1 \equiv \boldsymbol{\sigma}_1' \quad \text{except:} \\', rendering as TeX: d \text{except:} \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\sigma}_1[s] \equiv \begin{cases} \varnothing & \text{if}\ \boldsymbol{\sigma}_1'[s] = \varnothing \ \wedge\ v = 0 \\ \mathbf{a}_1 &\text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\text{and}\quad \boldsymbol{\sigma}_1' \equiv \boldsymbol{\sigma} \quad \text{except:} \\', rendering as TeX: d \text{except:} \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{cases} \boldsymbol{\sigma}_1'[r] \equiv (0, v, \mathtt{TRIE}(\varnothing), \mathtt{KEC}(())) & \text{if} \quad \boldsymbol{\sigma}[r] = \varnothing \wedge v \neq 0 \\ \boldsymbol{\sigma}_1'[r] \equiv \varnothing & \text{if}\quad \boldsymbol{\sigma}[r] = \varnothing \wedge v = 0 \\ \boldsymbol{\sigma}_1'[r] \equiv \mathbf{a}_1' & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}' & \equiv & \begin{cases} \boldsymbol{\sigma} & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \\ \boldsymbol{\sigma}^{**} & \text{otherwise} \end{cases} \\ g' & \equiv & \begin{cases} 0 & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \ \wedge \\ &\quad \mathbf{o} = \varnothing \\ g^{**} & \text{otherwise} \end{cases} \\ A' & \equiv & \begin{cases} A & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \\ A^{**} & \text{otherwise} \end{cases} \\ z & \equiv & \begin{cases} 0 & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \\ 1 & \text{otherwise} \end{cases} \\ \hypertarget{code_execution_result}{} (\boldsymbol{\sigma}^{**}, g^{**}, A^{**}, \mathbf{o}) & \equiv & \Xi\\ I_{\mathrm{a}} & \equiv & r \\ I_{\mathrm{o}} & \equiv & o \\ I_{\mathrm{p}} & \equiv & p \\ I_{\mathbf{d}} & \equiv & \mathbf{d} \\ I_{\mathrm{s}} & \equiv & s \\ I_{\mathrm{v}} & \equiv & \tilde{v} \\ I_{\mathrm{e}} & \equiv & e \\ I_{\mathrm{w}} & \equiv & w\end{aligned}', rendering as TeX: \hypertarget{code_execution_result}{} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Xi \equiv \begin{cases} \Xi_{\mathtt{ECREC}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 1 \\ \Xi_{\mathtt{SHA256}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 2 \\ \Xi_{\mathtt{RIP160}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 3 \\ \Xi_{\mathtt{ID}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 4 \\ \Xi_{\mathtt{EXPMOD}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 5 \\ \Xi_{\mathtt{BN\_ADD}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 6 \\ \Xi_{\mathtt{BN\_MUL}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 7 \\ \Xi_{\mathtt{SNARKV}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 8 \\ \Xi_{\mathtt{BLAKE2\_F}}(\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 9 \\ \Xi (\boldsymbol{\sigma}_1, g, A, I) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi(\boldsymbol{\sigma}, g, A, I) & \equiv & (\boldsymbol{\sigma}'\!, \boldsymbol{\mu}'_{\mathrm{g}}, A', \mathbf{o}) \\ (\boldsymbol{\sigma}', \boldsymbol{\mu}'\!, A', ..., \mathbf{o}) & \equiv & X\big((\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\big) \\ \boldsymbol{\mu}_{\mathrm{g}} & \equiv & g \\ \boldsymbol{\mu}_{\mathrm{pc}} & \equiv & 0 \\ \boldsymbol{\mu}_{\mathbf{m}} & \equiv & (0, 0, ...) \\ \boldsymbol{\mu}_{\mathrm{i}} & \equiv & 0 \\ \boldsymbol{\mu}_{\mathbf{s}} & \equiv & () \\ \boldsymbol{\mu}_{\mathbf{o}} & \equiv & ()\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\label{eq:X-def} X\big( (\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \big) \equiv \begin{cases} \big(\varnothing, \boldsymbol{\mu}, A, I, \varnothing\big) & \text{if} \quad Z(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \\ \big(\varnothing, \boldsymbol{\mu}', A, I, \mathbf{o}\big) & \text{if} \quad w = \text{\small REVERT} \\ O(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \cdot \mathbf{o} & \text{if} \quad \mathbf{o} \neq \varnothing \\ X\big(O(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\big) & \text{otherwise} \\ \end{cases}', rendering as TeX: text{if} \quad w = \text{\small REVERT} ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} \mathbf{o} & \equiv & H(\boldsymbol{\mu}, I) \\ (a, b, c, d) \cdot e & \equiv & (a, b, c, d, e) \\ \boldsymbol{\mu}' & \equiv & \boldsymbol{\mu}\ \text{except:} \\ \boldsymbol{\mu}'_{\mathrm{g}} & \equiv & \boldsymbol{\mu}_{\mathrm{g}} - C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\label{eq:currentoperation} w \equiv \begin{cases} I_{\mathbf{b}}[\boldsymbol{\mu}_{\mathrm{pc}}] & \text{if} \quad \boldsymbol{\mu}_{\mathrm{pc}} < \lVert I_{\mathbf{b}} \rVert \\ \text{\hyperlink{stop}{\small STOP}} & \text{otherwise} \end{cases}', rendering as TeX: \text{\hyperlink{stop}{\small STOP}} & \ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'Z(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \equiv \begin{array}[t]{l} \boldsymbol{\mu}_g < C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \quad \vee \\ \mathbf{\delta}_w = \varnothing \quad \vee \\ \lVert\boldsymbol{\mu}_\mathbf{s}\rVert < \mathbf{\delta}_w \quad \vee \\ ( w = \text{\small JUMP} \; \wedge \; \boldsymbol{\mu}_\mathbf{s}[0] \notin D(I_\mathbf{b}) ) \quad \vee \\ ( w = \text{\small JUMPI} \; \wedge \; \boldsymbol{\mu}_\mathbf{s}[1] \neq 0 \; \wedge \\ \quad \boldsymbol{\mu}_\mathbf{s}[0] \notin D(I_\mathbf{b}) ) \quad \vee \\ ( w = \text{\small RETURNDATACOPY} \; \wedge \\ \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + \boldsymbol{\mu}_{\mathbf{s}}[2] > \lVert\boldsymbol{\mu}_{\mathbf{o}}\rVert) \quad \vee \\ \lVert\boldsymbol{\mu}_\mathbf{s}\rVert - \mathbf{\delta}_w + \mathbf{\alpha}_w > 1024 \quad \vee \\ ( \neg I_{\mathrm{w}} \; \wedge \; W(w, \boldsymbol{\mu}) ) \quad \vee \\ ( w = \text{\small SSTORE} \; \wedge \; \boldsymbol{\mu}_g \leqslant G_{\mathrm{callstipend}} ) \end{array}', rendering as TeX: \begin{array}[t]{l} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'W(w, \boldsymbol{\mu}) \equiv \\ \begin{array}[t]{l} w \in \{\text{\small CREATE}, \text{\small CREATE2}, \text{\small SSTORE},\\ \text{\small SELFDESTRUCT}\} \ \vee \\ \text{\small LOG0} \le w \; \wedge \; w \le \text{\small LOG4} \quad \vee \\ w = \text{\small CALL} \; \wedge \; \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \end{array}', rendering as TeX: \begin{array}[t]{l} ^ unexpected "\\" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{G__callstipend}{G_{\mathrm{callstipend}}}', rendering as TeX: \hyperlink{G__callstipend}{G_{\mathrm{ca ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'D_{\mathrm{J}}(\mathbf{c}, i) \equiv \begin{cases} \{\} & \text{if} \quad i \geqslant \lVert \mathbf{c} \rVert \\ \{ i \} \cup D_{\mathrm{J}}(\mathbf{c}, N(i, \mathbf{c}[i])) & \\ \quad\quad\text{if} \quad \mathbf{c}[i] = \text{\small JUMPDEST} \\ D_{\mathrm{J}}(\mathbf{c}, N(i, \mathbf{c}[i])) & \text{otherwise} \\ \end{cases}', rendering as TeX: thbf{c}[i] = \text{\small JUMPDEST} \\ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'N(i, w) \equiv \begin{cases} i + w - \text{\small PUSH1} + 2 & \\ \quad\quad\text{if} \quad w \in [\text{\small PUSH1}, \text{\small PUSH32}] \\ i + 1 & \text{otherwise} \end{cases}', rendering as TeX: i + w - \text{\small PUSH1} + 2 & \\ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'H(\boldsymbol{\mu}, I) \equiv \begin{cases} H_{\text{\tiny RETURN}}(\boldsymbol{\mu}) \ \text{if} \quad w \in \{\text{\small \hyperlink{RETURN}{RETURN}}, \text{\small REVERT}\} &\\ () \quad\quad\ \text{if} \quad w \in \{ \text{\small \hyperlink{stop}{STOP}}, \text{\small \hyperlink{selfdestruct}{SELFDESTRUCT}} \} &\\ \varnothing \quad\quad\ \text{otherwise}& \end{cases}', rendering as TeX: H_{\text{\tiny RETURN}}(\boldsymbol{\mu} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'H_{\text{\tiny RETURN}}', rendering as TeX: H_{\text{\tiny RETURN}} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\begin{aligned} O\big((\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\big) & \equiv & (\boldsymbol{\sigma}', \boldsymbol{\mu}', A', I) \\ \Delta & \equiv & \mathbf{\alpha}_{w} - \mathbf{\delta}_{w} \\ \lVert\boldsymbol{\mu}'_{\mathbf{s}}\rVert & \equiv & \lVert\boldsymbol{\mu}_{\mathbf{s}}\rVert + \Delta \\ \quad \forall x \in [\mathbf{\alpha}_{w}, \lVert\boldsymbol{\mu}'_{\mathbf{s}}\rVert): \boldsymbol{\mu}'_{\mathbf{s}}[x] & \equiv & \boldsymbol{\mu}_{\mathbf{s}}[x-\Delta]\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \quad \boldsymbol{\mu}'_{\mathrm{g}} & \equiv & \boldsymbol{\mu}_{\mathrm{g}} - C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \label{eq:mu_pc}\\ \quad \boldsymbol{\mu}'_{\mathrm{pc}} & \equiv & \begin{cases} \hyperlink{JUMP}{J_{\text{JUMP}}}(\boldsymbol{\mu}) & \text{if} \quad w = \text{\small JUMP} \\ \hyperlink{JUMPI}{J_{\text{JUMPI}}}(\boldsymbol{\mu}) & \text{if} \quad w = \text{\small JUMPI} \\ N(\boldsymbol{\mu}_{\mathrm{pc}}, w) & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX: rm{pc}} & \equiv & \begin{cases} ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\mu}'_{\mathbf{m}} & \equiv & \boldsymbol{\mu}_{\mathbf{m}} \\ \boldsymbol{\mu}'_{\mathrm{i}} & \equiv & \boldsymbol{\mu}_{\mathrm{i}} \\ A' & \equiv & A \\ \boldsymbol{\sigma}' & \equiv & \boldsymbol{\sigma}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} B_{\mathrm{t}} & \equiv & B'_{\mathrm{t}} + B_{\mathrm{d}} \\ B' & \equiv & P(B_{\mathrm{H}})\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\lVert B_{\mathbf{U}} \rVert \leqslant 2 \bigwedge_{\mathbf{U} \in B_{\mathbf{U}}} \hyperlink{block_header_validity_function}{V({\mathbf{U}}})\; \wedge \; k({\mathbf{U}}, P(\mathbf{B}_{\mathbf{H}})_{\mathbf{H}}, 6)', rendering as TeX: hbf{U}}} \hyperlink{block_header_validit ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'k(U, H, n) \equiv \begin{cases} \mathit{false} & \text{if} \quad n = 0 \\ s(U, H) &\\ \quad \vee \; k(U, P(H)_{\mathrm{H}}, n - 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\hyperlink{H__g}{B_{\mathrm{H}}}_{\mathrm{g}} = \hyperlink{ell}{\ell}(\hyperlink{R__u}{\mathbf{R})_{\mathrm{u}}}', rendering as TeX: \hyperlink{H__g}{B_{\mathrm{H}}}_{\mathr ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\frac{1}{32}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \\ \nonumber \Omega(B, \boldsymbol{\sigma}) & \equiv & \boldsymbol{\sigma}': \boldsymbol{\sigma}' = \boldsymbol{\sigma} \quad \text{except:} \\ \qquad\boldsymbol{\sigma}'[{\mathbf{B}_{\mathrm{H}}}_{\mathrm{c}}]_{\mathrm{b}} & = & \boldsymbol{\sigma}[{\mathbf{B}_{\mathrm{H}}}_{\mathrm{c}}]_{\mathrm{b}} + \left(1 + \frac{\lVert \mathbf{B}_{\mathbf{U}}\rVert}{32}\right)R_{\mathrm{block}} \\ \\ \nonumber \forall \mathbf{U} \in \mathbf{B}_{\mathbf{U}}: \\ \nonumber \boldsymbol{\sigma}'[\mathbf{U}_{\mathrm{c}}] & = & \begin{cases} \varnothing &\text{if}\ \boldsymbol{\sigma}[\mathbf{U}_{\mathrm{c}}] = \varnothing\ \wedge\ R = 0 \\ \mathbf{a}' &\text{otherwise} \end{cases} \\ \mathbf{a}' &\equiv& (\boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathrm{n}}, \boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathrm{b}} + R, \boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathbf{s}}, \boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathrm{c}}) \\ R & \equiv & \left(1 + \frac{1}{8} (U_{\mathrm{i}} - {B_{\mathrm{H}}}_{\mathrm{i}})\right) R_{\mathrm{block}}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math 'R_{\mathrm{block}} = 10^{18} \times \begin{cases} 5 &\text{if}\ H_{\mathrm{i}} < F_{\mathrm{Byzantium}} \\ 3 &\text{if}\ F_{\mathrm{Byzantium}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Constantinople}} \\ 2 &\text{if}\ H_{\mathrm{i}} \geqslant F_{\mathrm{Constantinople}} \\ \end{cases} \\', rendering as TeX: \end{cases} \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Gamma(B) \equiv \begin{cases} \boldsymbol{\sigma}_0 & \text{if} \quad P(B_{\mathrm{H}}) = \varnothing \\ \boldsymbol{\sigma}_{\mathrm{i}}: \mathtt{\hyperlink{trie}{TRIE}}(L_{\mathrm{S}}(\boldsymbol{\sigma}_{\mathrm{i}})) = {P(B_{\mathrm{H}})_{\mathrm{H}}}_{\mathrm{r}} & \text{otherwise} \end{cases}', rendering as TeX: \mathtt{\hyperlink{trie}{TRIE}}(L_{\mat ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Phi(B) & \equiv & B': \quad B' = B^* \quad \text{except:} \\ B'_{\mathrm{n}} & = & n: \quad x \leqslant \frac{2^{256}}{\hyperlink{H__d}{H_{\mathrm{d}}}} \\ B'_{\mathrm{m}} & = & m \quad \text{with } (x, m) = \mathtt{PoW}(B^*_{\hyperlink{H_cancel_n}{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }}, n, \mathbf{d}) \\ B^* & \equiv & B \quad \text{except:} \quad {\hyperlink{Transaction_Receipt}{B^*_{\mathrm{r}}}} = \hyperlink{r}{r}(\hyperlink{Pi}{\Pi}(\Gamma(B), B))\end{aligned}', rendering as TeX: \quad x \leqslant \frac{2^{256}}{\hyper ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{sigma_n}{}}{} \boldsymbol{\sigma}[n] = \begin{cases} \hyperlink{Gamma}{\Gamma}(B) & \text{if} \quad n < 0 \\ \hyperlink{Upsilon}{\Upsilon}(\boldsymbol{\sigma}[n - 1], B_{\mathbf{T}}[n]) & \text{otherwise} \end{cases}', rendering as TeX: \Hy@raisedlink{\hypertarget{sigma_n}{}}{ ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\mathbf{R}[n]_{\mathrm{u}} = \begin{cases} 0 & \text{if} \quad n < 0 \\ \begin{array}[b]{l} \Upsilon^g(\boldsymbol{\sigma}[n - 1], B_{\mathbf{T}}[n])\\ \quad + \mathbf{R}[n-1]_{\mathrm{u}} \end{array} & \text{otherwise} \end{cases}', rendering as TeX: \begin{array}[b]{l} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math '\hyperlink{Omega}{\Omega}', rendering as TeX: \hyperlink{Omega}{\Omega} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{ell}{\ell}(\boldsymbol{\sigma})', rendering as TeX: \hyperlink{ell}{\ell}(\boldsymbol{\sigma ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Pi(\boldsymbol{\sigma}, B) \equiv \hyperlink{Omega}{\Omega}(B, \ell(\boldsymbol{\sigma}))', rendering as TeX: ) \equiv \hyperlink{Omega}{\Omega}(B, \e ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'm = \hyperlink{H__m}{H_{\mathrm{m}}} \quad \wedge \quad n \leqslant \frac{2^{256}}{\hyperlink{H__d}{H_{\mathrm{d}}}} \quad \text{with} \quad (m, n) = \mathtt{PoW}(\hyperlink{H_cancel_n}{H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }}, H_{\mathrm{n}}, \mathbf{d})', rendering as TeX: m = \hyperlink{H__m}{H_{\mathrm{m}}} \qu ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }', rendering as TeX: H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\hyperlink{J__cacheinit}{J_{\mathrm{cacheinit}}}', rendering as TeX: \hyperlink{J__cacheinit}{J_{\mathrm{cach ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{J__datasetinit}{J_{\mathrm{datasetinit}}}', rendering as TeX: \hyperlink{J__datasetinit}{J_{\mathrm{da ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{J__epoch}{J_{\mathrm{epoch}}}', rendering as TeX: \hyperlink{J__epoch}{J_{\mathrm{epoch}}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \mathbb{T} & \equiv & \mathbb{L} \uplus \mathbb{B} \\ \mathbb{L} & \equiv & \{ \mathbf{t}: \mathbf{t} = ( \mathbf{t}[0], \mathbf{t}[1], ... ) \; \wedge \; \forall n < \lVert \mathbf{t} \rVert : \mathbf{t}[n] \in \mathbb{T} \} \\ \mathbb{B} & \equiv & \{ \mathbf{b}: \mathbf{b} = ( \mathbf{b}[0], \mathbf{b}[1], ... ) \; \wedge \; \forall n < \lVert \mathbf{b} \rVert : \mathbf{b}[n] \in \mathbb{O} \}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\mathtt{RLP}(\mathbf{x}) \equiv \begin{cases} R_{\mathrm{b}}(\mathbf{x}) & \text{if} \quad \mathbf{x} \in \mathbb{B} \\ R_{\mathrm{l}}(\mathbf{x}) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} R_{\mathrm{b}}(\mathbf{x}) & \equiv & \begin{cases} \mathbf{x} & \text{if} \quad \lVert \mathbf{x} \rVert = 1 \wedge \mathbf{x}[0] < 128 \\ (128 + \lVert \mathbf{x} \rVert) \cdot \mathbf{x} & \text{else if} \quad \lVert \mathbf{x} \rVert < 56 \\ \big(183 + \big\lVert \mathtt{BE}(\lVert \mathbf{x} \rVert) \big\rVert \big) \cdot \mathtt{BE}(\lVert \mathbf{x} \rVert) \cdot \mathbf{x} & \text{else if} \quad \lVert \mathbf{x} \rVert < 2^{64} \\ \varnothing & \text{otherwise} \end{cases} \\ \label{eq:BE} \mathtt{BE}(x) & \equiv & (b_0, b_1, ...): b_0 \neq 0 \wedge x = \sum_{n = 0}^{\lVert \mathbf{b} \rVert - 1} b_n \cdot 256^{\lVert \mathbf{b} \rVert - 1 - n} \\ (x_1, ..., x_n) \cdot (y_1, ..., y_m) & = & (x_1, ..., x_n, y_1, ..., y_m)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} R_{\mathrm{l}}(\mathbf{x}) & \equiv & \begin{cases} (192 + \lVert s(\mathbf{x}) \rVert) \cdot s(\mathbf{x}) & \text{if} \quad s(\mathbf{x}) \neq \varnothing \wedge \lVert s(\mathbf{x}) \rVert < 56 \\ \big(247 + \big\lVert \mathtt{BE}(\lVert s(\mathbf{x}) \rVert) \big\rVert \big) \cdot \mathtt{BE}(\lVert s(\mathbf{x}) \rVert) \cdot s(\mathbf{x}) & \text{else if} \quad s(\mathbf{x}) \neq \varnothing \wedge \lVert s(\mathbf{x}) \rVert < 2^{64} \\ \varnothing & \text{otherwise} \end{cases} \\ s(\mathbf{x}) & \equiv & \begin{cases} \mathtt{RLP}(\mathbf{x}[0]) \cdot \mathtt{RLP}(\mathbf{x}[1]) \cdot ... & \text{if} \quad \forall i: \mathtt{RLP}(\mathbf{x}[i]) \neq \varnothing \\ \varnothing & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{HP}(\mathbf{x}, t): \mathbf{x} \in \mathbb{Y} & \equiv & \begin{cases} (16f(t), 16\mathbf{x}[0] + \mathbf{x}[1], 16\mathbf{x}[2] + \mathbf{x}[3], ...) & \text{if} \quad \lVert \mathbf{x} \rVert \; \text{is even} \\ (16(f(t) + 1) + \mathbf{x}[0], 16\mathbf{x}[1] + \mathbf{x}[2], 16\mathbf{x}[3] + \mathbf{x}[4], ...) & \text{otherwise} \end{cases} \\ f(t) & \equiv & \begin{cases} 2 & \text{if} \quad t \neq 0 \\ 0 & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} y(\mathfrak{I}) & = & \{ (\mathbf{k}_0' \in \hyperlink{set_of_sequence_of_nibbles}{\mathbb{Y}}, \mathbf{v}_0 \in \mathbb{B}), (\mathbf{k}_1' \in \mathbb{Y}, \mathbf{v}_1 \in \mathbb{B}), ... \} \\ \forall n: \quad \forall i < 2\lVert\mathbf{k}_{n}\rVert: \quad \mathbf{k}_{n}'[i] & \equiv & \begin{cases} \lfloor \mathbf{k}_{n}[i \div 2] \div 16 \rfloor & \text{if} \; i \; \text{is even} \\ \mathbf{k}_{n}[\lfloor i \div 2 \rfloor] \bmod 16 & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX: (\mathbf{k}_0' \in \hyperlink{set_of_seq ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math 'n(\mathfrak{I}, i) \equiv \begin{cases} () \in \mathbb{B} & \text{if} \quad \mathfrak{I} = \varnothing \\ c(\mathfrak{I}, i) & \text{if} \quad \lVert \, \texttt{RLP} \big( c(\mathfrak{I}, i) \big) \rVert < 32 \\ \texttt{KEC}\big(\texttt{RLP}( c(\mathfrak{I}, i)) \big) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'c(\mathfrak{I}, i) \equiv \begin{cases} \big(\texttt{HP}(I_0[i .. (\lVert I_0\rVert - 1)], 1), I_1 \big) & \text{if} \quad \lVert \mathfrak{I} \rVert = 1 \quad \text{where} \; \exists I: I \in \mathfrak{I} \\ \big(\texttt{HP}(I_0[i .. (j - 1)], 0), n(\mathfrak{I}, j) \big) & \text{if} \quad i \ne j \quad \text{where} \; j = \max \{ x : \exists \mathbf{l}: \lVert \mathbf{l} \rVert = x \wedge \forall I \in \mathfrak{I}: I_0[0 .. (x - 1)] = \mathbf{l} \} \\ (u(0), u(1), ..., u(15), v) & \text{otherwise} \quad \text{where} \begin{array}[t]{rcl} u(j) & \equiv & n(\{ I : I \in \mathfrak{I} \wedge I_0[i] = j \}, i + 1) \\ v & = & \begin{cases} I_1 & \text{if} \quad \exists I: I \in \mathfrak{I} \wedge \lVert I_0 \rVert = i \\ () \in \mathbb{B} & \text{otherwise} \end{cases} \end{array} \end{cases}', rendering as TeX: \quad \text{where} \begin{array}[t]{rcl} ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\label{eq:pre} \Xi_{\mathtt{PRE}}(\boldsymbol{\sigma}, g, A, I) \equiv \begin{cases} (\varnothing, 0, A, ()) & \text{if} \quad g < g_{\mathrm{r}} \\ (\boldsymbol\sigma, g - g_{\mathrm{r}}, A, \mathbf{o}) & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{ECREC}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 3000\\ \lVert \mathbf{o} \rVert &=& \begin{cases} \label{eq:ecrec_precompile_validity} 0 & \text{if} \quad v \notin \{27, 28\} \,\vee\, r = 0 \,\vee\, r \ge \mathtt{secp256k1n} \,\vee\, s = 0 \,\vee\, s \ge \mathtt{secp256k1n} \\ 0 & \text{if} \quad \mathtt{ECDSARECOVER}(h, v - 27, r, s) = \varnothing\\ 32 & \text{otherwise} \end{cases}\\ \text{if} \quad \lVert \mathbf{o} \rVert = 32: &&\\ \mathbf{o}[0..11] &=& 0 \\ \mathbf{o}[12..31] &=& \mathtt{KEC}\big(\mathtt{ECDSARECOVER}(h, v - 27, r, s)\big)[12..31] \quad \text{where:}\\ \mathbf{d}[0..(\lVert \hyperlink{I__d}{I_{\mathbf{d}}} \rVert-1)] &=& I_{\mathbf{d}}\\ \mathbf{d}[\lVert I_{\mathbf{d}} \rVert..] &=& (0, 0, ...) \\ h &=& \mathbf{d}[0..31]\\ v &=& \mathbf{d}[32..63]\\ r &=& \mathbf{d}[64..95]\\ s &=& \mathbf{d}[96..127]\end{aligned}', rendering as TeX: .(\lVert \hyperlink{I__d}{I_{\mathbf{d}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{SHA256}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 60 + 12\Big\lceil \dfrac{\lVert I_{\mathbf{d}} \rVert}{32} \Big\rceil\\ \mathbf{o}[0..31] &=& \mathtt{SHA256}(I_{\mathbf{d}})\\ \Xi_{\mathtt{RIP160}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 600 + 120\Big\lceil \dfrac{\lVert I_{\mathbf{d}} \rVert}{32} \Big\rceil\\ \mathbf{o}[0..11] &=& 0 \\ \mathbf{o}[12..31] &=& \mathtt{RIPEMD160}(I_{\mathbf{d}})\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{SHA256}(\mathbf{i} \in \mathbb{B}) & \equiv & o \in \mathbb{B}_{32} \\ \mathtt{RIPEMD160}(\mathbf{i} \in \mathbb{B}) & \equiv & o \in \mathbb{B}_{20}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{ID}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 15 + 3\Big\lceil \dfrac{\lVert I_{\mathbf{d}} \rVert}{32} \Big\rceil\\ \mathbf{o} &=& I_{\mathbf{d}}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{EXPMOD}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{except:} \\ g_{\mathrm{r}} &=& \max \left(200, \left\lfloor\frac{f\big(\max(\ell_{\mathrm{M}},\ell_{\mathrm{B}})\big)\max(\ell'_{\mathrm{E}},1)}{G_{\mathrm{quaddivisor}}}\right\rfloor \right) \\ G_{\mathrm{quaddivisor}} &\equiv& 3 \\ f(x) &\equiv& \left\lceil \frac{x}{8} \right\rceil ^2 \\ \ell'_{\mathrm{E}} &=& \begin{cases} 0 & \text{if}\ \ell_{\mathrm{E}}\le 32\wedge E=0 \\ \lfloor \log_2(E)\rfloor &\text{if}\ \ell_{\mathrm{E}}\le 32 \wedge E \neq 0 \\ 8(\ell_{\mathrm{E}} - 32) + \lfloor \log_2(i[(96+\ell_{\mathrm{B}})..(127+\ell_{\mathrm{B}})]) \rfloor & \text{if}\ 32 < \ell_{\mathrm{E}} \wedge i[(96 + \ell_{\mathrm{B}})..(127 + \ell_{\mathrm{B}})]\neq 0 \\ 8(\ell_{\mathrm{E}} - 32) & \text{otherwise} \\ \end{cases} \\ \mathbf{o} &=& \left(B^E\bmod M\right)\in\mathbb{N}_{8\ell_{\mathrm{M}}} \\ \ell_{\mathrm{B}} &\equiv& i[0..31] \\ \ell_{\mathrm{E}} &\equiv& i[32..63] \\ \ell_{\mathrm{M}} &\equiv& i[64..95] \\ B &\equiv& i[96..(95+\ell_{\mathrm{B}})] \\ E &\equiv& i[(96+\ell_{\mathrm{B}})..(95+\ell_{\mathrm{B}}+\ell_{\mathrm{E}})] \\ M &\equiv& i[(96+\ell_{\mathrm{B}}+\ell_{\mathrm{E}})..(95+\ell_{\mathrm{B}}+\ell_{\mathrm{E}}+\ell_{\mathrm{M}})] \\ i[x] &\equiv& \begin{cases} I_{\mathbf{d}}[x] &\text{if}\ x < \lVert I_{\mathbf{d}} \rVert \\ 0 &\text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} p &\equiv& 21888242871839275222246405745257275088696311157297823662689037894645226208583 \\ q &\equiv& 21888242871839275222246405745257275088548364400416034343698204186575808495617\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \label{eq:ec-addition} (X_1, Y_1) + (X_2, Y_2)&\equiv&\begin{cases} (X,Y)&\text{if}\ X_1\neq X_2\\ (0,0)&\text{otherwise} \end{cases}\\ \nonumber \lambda&\equiv&\frac{Y_2-Y_1}{X_2-X_1}\\ \nonumber X&\equiv&\lambda^2-X_1-X_2\\ \nonumber Y&\equiv&\lambda(X_1-X)-Y_1\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \label{eq:ec-doubling} (X_1, Y_1) + (X_2, Y_2)&\equiv&\begin{cases} (X,Y)&\text{if}\ Y_1\neq 0\\ (0,0)&\text{otherwise} \end{cases}\\ \nonumber \lambda&\equiv&\frac{3X_1^2}{2Y_1}\\ \nonumber X&\equiv&\lambda^2-2X_1\\ \nonumber Y&\equiv&\lambda(X_1-X)-Y_1\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\label{eq:ec-scalar-multiplication} n\cdot P\equiv(0,0)+\underbrace{P+\cdots+P}_{n}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} P_2&\equiv& (11559732032986387107991004021392285783925812861821192530917403151452391805634 \times i\\\nonumber &&+ 10857046999023057135944570762232829481370756359578518086990519993285655852781,\\\nonumber && 4082367875863433681332203403145435568316851327593401208105741076214120093531 \times i\\\nonumber &&+ 8495653923123431417604973247489272438418190587263600148770280649306958101930)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \label{eq:pairing-check} \log_{P_1}(a_1)\times\log_{P_2}(b_1)+\cdots+\log_{P_1}(a_{k})\times\log_{P_2}(b_{k})&\equiv& 1\mod q\\ \prod_{i=0}^{k}e\left(a_i, b_i\right) &=& P_T\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\delta_{\mathrm{p}}(\mathbf{x})\equiv\begin{cases} \mathbf{x}&\text{if}\ \mathbf{x}<p\\ \varnothing&\text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \delta_1(\mathbf{x})&\equiv&\begin{cases} g_1&\text{if}\ g_1\in G_1\\ \varnothing&\text{otherwise} \end{cases}\\ g_1&\equiv&\begin{cases} (x,y)&\text{if}\ x\neq\varnothing\wedge y\neq\varnothing\\ \varnothing&\text{otherwise} \end{cases}\\ x&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[0..31])\\ y&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[32..63])\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \delta_2(\mathbf{x})&\equiv&\begin{cases} g_2&\text{if}\ g_2\in G_2\\ \varnothing&\text{otherwise} \end{cases}\\ g_2&\equiv&\begin{cases} ((x_0i+y_0),(x_1i+y_1))&\text{if}\ x_0\neq\varnothing\wedge y_0\neq\varnothing\wedge x_1\neq\varnothing\wedge y_1\neq\varnothing\\ \varnothing&\text{otherwise} \end{cases}\\ x_0&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[0..31])\\ y_0&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[32..63])\\ x_1&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[64..95])\\ y_1&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[96..127])\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{SNARKV}}&\equiv&\Xi_{\mathtt{PRE}}\quad\text{except:}\\ \qquad\Xi_{\mathtt{SNARKV}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ F\\ F&\equiv&(\lVert I_{\mathbf{d}} \rVert\bmod 192\neq 0\vee(\exists j.\ a_{\mathrm{j}}=\varnothing\vee b_{\mathrm{j}}=\varnothing))\\ k &=& \dfrac{\lVert I_{\mathbf{d}} \rVert}{192} \\ g_{\mathrm{r}}&=& 34000k + 45000 \\ \mathbf{o}[0..31]&\equiv&\begin{cases} 0x0000000000000000000000000000000000000000000000000000000000000001&\text{if}\ v\wedge\neg F\\ 0x0000000000000000000000000000000000000000000000000000000000000000&\text{if}\ \neg v\wedge\neg F \end{cases}\\ v&\equiv&(\log_{P_1}(a_1)\times\log_{P_2}(b_1)+\cdots+\log_{P_1}(a_k)\times\log_{P_2}(b_k)\equiv 1\mod q)\\ a_1&\equiv&\delta_1(I_{\mathbf{d}}[0..63])\\ b_1&\equiv&\delta_2(I_{\mathbf{d}}[64..191])\\\nonumber \vdots\\ a_k&\equiv&\delta_1(I_{\mathbf{d}}[(\lVert I_{\mathbf{d}} \rVert-192)..(\lVert I_{\mathbf{d}} \rVert-129)])\\ b_k&\equiv&\delta_2(I_{\mathbf{d}}[(\lVert I_{\mathbf{d}} \rVert-128)..(\lVert I_{\mathbf{d}} \rVert-1)])\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{BN\_ADD}}&\equiv&\Xi_{\mathtt{BN\_PRE}}\quad\text{except:}\\ \Xi_{\mathtt{BN\_ADD}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ x=\varnothing\vee y=\varnothing\\ g_{\mathrm{r}} &=& 150\\ \mathbf{o}&\equiv&\delta_1^{-1}(x+y)\quad\text{where $+$ is the group operation in $G_1$}\\ x&\equiv&\delta_1\left(\bar I_{\mathbf{d}}[0..63]\right)\\ y&\equiv&\delta_1\left(\bar I_{\mathbf{d}}[64..127]\right)\\ \label{eq:complemented_input}\bar I_{\mathbf{d}}[x]&\equiv&\begin{cases} I_{\mathbf{d}}[x]&\text{if}\ x < \lVert I_{\mathbf{d}} \rVert\\ 0&\text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{BN\_MUL}}&\equiv&\Xi_{\mathtt{PRE}}\quad\text{except:}\\ \Xi_{\mathtt{BN\_MUL}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ x=\varnothing\\ g_{\mathrm{r}} &=& 6000\\ \mathbf{o}&\equiv&\delta_1^{-1}(n\cdot x)\quad\text{where $\cdot$ is the scalar multiplication in $G_1$}\\ x&\equiv&\delta_1\left(\bar I_{\mathbf{d}}[0..63]\right)\\ n&\equiv&\bar I_{\mathbf{d}}[64..95]\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{BLAKE2\_F}}&\equiv&\Xi_{\mathtt{PRE}}\quad\text{except:}\\ \Xi_{\mathtt{BLAKE2\_F}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ \lVert I_{\mathbf{d}}\rVert \neq 213 \vee f \notin \{0, 1\} \\ g_{\mathrm{r}} &=& r\\ \mathbf{o} &\equiv& \mathtt{LE}_8(h'_0)\cdot ... \cdot \mathtt{LE}_8(h'_7) \\ (h'_0,\dots,h'_7) &\equiv& \mathtt{F}(h, m, t_\mathrm{low}, t_\mathrm{high}, f) \quad\text{with } r \text{ rounds and } w = 64 \\ \mathtt{BE}_4(r) &\equiv& I_{\mathbf{d}}[0..4] \\ \mathtt{LE}_8(h_0) &\equiv& I_{\mathbf{d}}[4..12] \\ &\dots& \\ \mathtt{LE}_8(h_7) &\equiv& I_{\mathbf{d}}[60..68] \\ \mathtt{LE}_8(m_0) &\equiv& I_{\mathbf{d}}[68..76] \\ &\dots& \\ \mathtt{LE}_8(m_{15}) &\equiv& I_{\mathbf{d}}[188..196] \\ \mathtt{LE}_8(t_\mathrm{low}) &\equiv& I_{\mathbf{d}}[196..204] \\ \mathtt{LE}_8(t_\mathrm{high}) &\equiv& I_{\mathbf{d}}[204..212] \\ f &\equiv& I_{\mathbf{d}}[212]\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\mathtt{BE}_k(x) \equiv (b_0, b_1, ..., b_{k-1}): x = \sum_{n = 0}^{k-1} b_n \cdot 256^{k-1-n}', rendering as TeX [WARNING] Could not convert TeX math '\mathtt{LE}_k(x) \equiv (b_0, b_1, ..., b_{k-1}): x = \sum_{n = 0}^{k-1} b_n \cdot 256^n', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{ECDSAPUBKEY}(p_{\mathrm{r}} \in \mathbb{B}_{32}) & \equiv & p_{\mathrm{u}} \in \mathbb{B}_{64} \\ \Hy@raisedlink{\hypertarget{ECDSASIGN}{}}\mathtt{ECDSASIGN}(e \in \mathbb{B}_{32}, p_{\mathrm{r}} \in \mathbb{B}_{32}) & \equiv & (v \in \mathbb{B}_{1}, r \in \mathbb{B}_{32}, s \in \mathbb{B}_{32}) \\ \mathtt{ECDSARECOVER}(e \in \mathbb{B}_{32}, v \in \mathbb{B}_{1}, r \in \mathbb{B}_{32}, s \in \mathbb{B}_{32}) & \equiv & p_{\mathrm{u}} \in \mathbb{B}_{64}\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{ECDSASIGN}{} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} 0 < \Hy@raisedlink{\hypertarget{r}{}}{r} &< \mathtt{secp256k1n} \\ 0 < \Hy@raisedlink{\hypertarget{s}{}}{s} &< \mathtt{secp256k1n} \div 2 + 1 \\ \hyperlink{v}{v} &\in \{0,1\}\end{aligned}', rendering as TeX: 0 < \Hy@raisedlink{\hypertarget{r}{}}{r} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{secp256k1n} &= 115792089237316195423570985008687907852837564279074904382605163141518161494337 %\mathtt{secp256k1p} &= 2^{256} - 2^{32} - 977\\\end{aligned}', rendering as TeX: 977\\\end{aligned} ^ unexpected eof expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} L_{\mathrm{X}}(T) & \equiv & \begin{cases} (T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}) & \text{if} \; T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{27, 28\} \\ (T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, \beta, (), ()) & \text{if} \; T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{2\beta + 35, 2\beta + 36\} \\ (T_{\mathrm{c}}, T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, T_{\mathbf{A}}) & \text{if} \; T_{\mathrm{x}} = 1 \end{cases} \\ \nonumber \text{where} \\ \nonumber \mathbf{p} & \equiv & \begin{cases} T_{\mathbf{i}} & \text{if}\ T_{\mathrm{t}} = \varnothing \\ T_{\mathbf{d}} & \text{otherwise} \end{cases} \\ h(T) & \equiv & \begin{cases} \mathtt{KEC}( \mathtt{RLP}(L_{\mathrm{X}}(T)) ) & \text{if} \; T_{\mathrm{x}} = 0 \\ \mathtt{KEC}( T_{\mathrm{x}} \cdot \mathtt{RLP}(L_{\mathrm{X}}(T)) ) & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} G(T, p_{\mathrm{r}}) \equiv T \quad \text{except:} \\ (T_{\mathrm{y}}, T_{\mathrm{r}}, T_{\mathrm{s}}) = \mathtt{ECDSASIGN}(h(T), p_{\mathrm{r}})\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Hy@raisedlink{\hypertarget{T__r}{}}{T_{\mathrm{r}}} = \hyperlink{r}{r}\\ \Hy@raisedlink{\hypertarget{T__s}{}}{T_{\mathrm{s}}} = \hyperlink{s}{s}\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{T__r}{}}{T_{ ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{T__w}{T_{\mathrm{w}}}', rendering as TeX: \hyperlink{T__w}{T_{\mathrm{w}}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '2\hyperlink{chain_id}{\beta} + 35 + T_{\mathrm{y}}', rendering as TeX: 2\hyperlink{chain_id}{\beta} + 35 + T_{\ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} S(T) &\equiv& \mathcal{B}_{96..255}\big(\mathtt{KEC}\big( \mathtt{ECDSARECOVER}(h(T), v, T_{\mathrm{r}}, T_{\mathrm{s}}) \big) \big) \\ v &\equiv& \begin{cases} T_{\mathrm{w}} - 27 & \text{if} \; T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{27, 28\} \\ (T_{\mathrm{w}}-35) \bmod 2 & \text{if} \ T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{2\beta + 35, 2\beta + 36\} \\ T_{\mathrm{y}} & \text{if} \ T_{\mathrm{x}} = 1 \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math 'C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \equiv C_{\mathrm{mem}}(\boldsymbol{\mu}'_{\mathrm{i}})-C_{\mathrm{mem}}(\boldsymbol{\mu}_{\mathrm{i}}) + \begin{cases} C_\text{\tiny SSTORE}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) & \text{if} \quad w = \text{\small SSTORE} \\ G_{\mathrm{exp}} & \text{if} \quad w = \text{\small EXP} \wedge \boldsymbol{\mu}_{\mathbf{s}}[1] = 0 \\ G_{\mathrm{exp}} + G_{\mathrm{expbyte}}\times(1+\lfloor\log_{256}(\boldsymbol{\mu}_{\mathbf{s}}[1])\rfloor) & \text{if} \quad w = \text{\small EXP} \wedge \boldsymbol{\mu}_{\mathbf{s}}[1] > 0 \\ G_{\mathrm{verylow}} + G_{\mathrm{copy}}\times\lceil\boldsymbol{\mu}_{\mathbf{s}}[2] \div 32\rceil & \text{if} \quad w \in W_{\mathrm{copy}} \\ C_{\mathrm{aaccess}}(\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}, A) + G_{\mathrm{copy}}\times\lceil\boldsymbol{\mu}_{\mathbf{s}}[3] \div 32\rceil & \text{if} \quad w = \text{\small EXTCODECOPY} \\ C_{\mathrm{aaccess}}(\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}, A) & \text{if} \quad w \in W_{\mathrm{extaccount}}\\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1] & \text{if} \quad w = \text{\small LOG0} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG1} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+2G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG2} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+3G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG3} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+4G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG4} \\ C_\text{\tiny CALL}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) & \text{if} \quad w \in W_{\mathrm{call}} \\ C_\text{\tiny SELFDESTRUCT}(\boldsymbol{\sigma}, \boldsymbol{\mu}) & \text{if} \quad w = \text{\small SELFDESTRUCT} \\ G_{\mathrm{create}} & \text{if} \quad w = \text{\small CREATE}\\ G_{\mathrm{create}}+G_{\mathrm{keccak256word}} \times \lceil \boldsymbol{\mu}_{\mathbf{s}}[2] \div 32 \rceil & \text{if} \quad w = \text{\small \hyperlink{create2}{CREATE2}}\\ G_{\mathrm{keccak256}}+G_{\mathrm{keccak256word}} \times \lceil \boldsymbol{\mu}_{\mathbf{s}}[1] \div 32 \rceil & \text{if} \quad w = \text{\small KECCAK256}\\ G_{\mathrm{jumpdest}} & \text{if} \quad w = \text{\small JUMPDEST}\\ C_\text{\tiny SLOAD}(\boldsymbol{\mu}, A, I) & \text{if} \quad w = \text{\small SLOAD}\\ G_{\mathrm{zero}} & \text{if} \quad w \in W_{\mathrm{zero}}\\ G_{\mathrm{base}} & \text{if} \quad w \in W_{\mathrm{base}}\\ G_{\mathrm{verylow}} & \text{if} \quad w \in W_{\mathrm{verylow}}\\ G_{\mathrm{low}} & \text{if} \quad w \in W_{\mathrm{low}}\\ G_{\mathrm{mid}} & \text{if} \quad w \in W_{\mathrm{mid}}\\ G_{\mathrm{high}} & \text{if} \quad w \in W_{\mathrm{high}}\\ G_{\mathrm{blockhash}} & \text{if} \quad w = \text{\small \hyperlink{blockhash}{BLOCKHASH}}\\ \end{cases}', rendering as TeX: C_\text{\tiny SSTORE}(\boldsymbol{\sigma ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'w \equiv \begin{cases} I_{\mathbf{b}}[\boldsymbol{\mu}_{\mathrm{pc}}] & \text{if} \quad \boldsymbol{\mu}_{\mathrm{pc}} < \lVert I_{\mathbf{b}} \rVert\\ \text{\small STOP} & \text{otherwise} \end{cases}', rendering as TeX: \text{\small STOP} & \text{otherwise} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\mathrm{mem}}(a) \equiv G_{\mathrm{memory}} \cdot a + \left\lfloor \dfrac{a^2}{512} \right\rfloor', rendering as TeX [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{C_aaccess}{}}{}C_{\mathrm{aaccess}}(x, A) \equiv \begin{cases} G_{\mathrm{warmaccess}} & \text{if} \quad x \in \hyperlink{accessed_addresses_defn_words_A__a}{A_{\mathbf{a}}}\\ G_{\mathrm{coldaccountaccess}} & \text{otherwise} \end{cases}', rendering as TeX: \Hy@raisedlink{\hypertarget{C_aaccess}{} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'C_\text{\tiny CALL}', rendering as TeX: C_\text{\tiny CALL} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_\text{\tiny SELFDESTRUCT}', rendering as TeX: C_\text{\tiny SELFDESTRUCT} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_\text{\tiny SLOAD}', rendering as TeX: C_\text{\tiny SLOAD} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_\text{\tiny SSTORE}', rendering as TeX: C_\text{\tiny SSTORE} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'M(s, f, l) \equiv \begin{cases} s & \text{if} \quad l = 0 \\ \max(s, \ceil{ (f + l) \div 32 }) & \text{otherwise} \end{cases}', rendering as TeX: \max(s, \ceil{ (f + l) \div 32 }) & \tex ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{L_but_64}{}}{} L(n) \equiv n - \lfloor n / 64 \rfloor', rendering as TeX: \Hy@raisedlink{\hypertarget{L_but_64}{}} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ \lfloor\boldsymbol{\mu}_{\mathbf{s}}[0] \div \boldsymbol{\mu}_{\mathbf{s}}[1]\rfloor & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ -2^{255} & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] = -2^{255} \wedge \, \boldsymbol{\mu}_{\mathbf{s}}[1] = -1\\ \mathbf{sgn} (\boldsymbol{\mu}_{\mathbf{s}}[0] \div \boldsymbol{\mu}_{\mathbf{s}}[1]) \lfloor |\boldsymbol{\mu}_{\mathbf{s}}[0] \div \boldsymbol{\mu}_{\mathbf{s}}[1]| \rfloor & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ \boldsymbol{\mu}_{\mathbf{s}}[0] \bmod \boldsymbol{\mu}_{\mathbf{s}}[1] & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ \mathbf{sgn} (\boldsymbol{\mu}_{\mathbf{s}}[0]) (|\boldsymbol{\mu}_{\mathbf{s}}[0]| \bmod |\boldsymbol{\mu}_{\mathbf{s}}[1]|) & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] = 0\\ (\boldsymbol{\mu}_{\mathbf{s}}[0] + \boldsymbol{\mu}_{\mathbf{s}}[1]) \bmod \boldsymbol{\mu}_{\mathbf{s}}[2] & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] = 0\\ (\boldsymbol{\mu}_{\mathbf{s}}[0] \times \boldsymbol{\mu}_{\mathbf{s}}[1]) \bmod \boldsymbol{\mu}_{\mathbf{s}}[2] & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in [0..255]: \boldsymbol{\mu}'_{\mathbf{s}}[0]_{\mathrm{i}} \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{s}}[1]_{\mathrm{t}} &\text{if} \quad i \leqslant t \quad \text{where} \; t = 256 - 8(\boldsymbol{\mu}_{\mathbf{s}}[0] + 1) \\ \boldsymbol{\mu}_{\mathbf{s}}[1]_{\mathrm{i}} &\text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] < \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] > \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] < \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] > \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] = \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] = 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in [0..255]: \boldsymbol{\mu}'_{\mathbf{s}}[0]_{\mathrm{i}} \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0]_{\mathrm{i}} = 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in [0..255]: \boldsymbol{\mu}'_{\mathbf{s}}[0]_{\mathrm{i}} \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{s}}[1]_{(i - 248 + 8\boldsymbol{\mu}_{\mathbf{s}}[0])} & \text{if} \quad i \geq 248 \wedge \boldsymbol{\mu}_{\mathbf{s}}[0] < 32 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}\boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}]_{\mathrm{b}}& \text{if} \quad \boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}] \neq \varnothing\\0&\text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[2] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[0] + i ] \equiv \begin{cases} I_{\mathbf{d}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + i < \lVert I_{\mathbf{d}} \rVert \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[2] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[0] + i ] \equiv \begin{cases} I_{\mathbf{b}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + i < \lVert I_{\mathbf{b}} \rVert \\ \text{\small STOP} & \text{otherwise} \end{cases}', rendering as TeX: }} \rVert \\ \text{\small STOP} & \text{ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} \lVert \mathbf{b} \rVert & \text{if} \quad \boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}] \neq \varnothing \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[3] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i ] \equiv \begin{cases} \mathbf{b}[\boldsymbol{\mu}_{\mathbf{s}}[2] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] + i < \lVert \mathbf{b} \rVert \\ \text{\small STOP} & \text{otherwise} \end{cases}', rendering as TeX: b} \rVert \\ \text{\small STOP} & \text{ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[2] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[0] + i ] \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{o}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + i < \lVert \boldsymbol{\mu}_{\mathbf{o}} \rVert \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 0 & \text{if} \quad \mathtt{DEAD}(\boldsymbol{\sigma}, \boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}) \\ \boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}]_{\mathrm{c}} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'P(h, n, a) \equiv \begin{cases} 0 & \text{if} \quad n > H_{\mathrm{i}} \vee a = 256 \vee h = 0 \\ h & \text{if} \quad n = H_{\mathrm{i}} \\ P(H_{\mathrm{p}}, n, a + 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{i}} \equiv \max(\boldsymbol{\mu}_{\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{\mathbf{s}}[0] + 32) \div 32 })', rendering as TeX: {\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{i}} \equiv \max(\boldsymbol{\mu}_{\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{\mathbf{s}}[0] + 32) \div 32 })', rendering as TeX: {\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{i}} \equiv \max(\boldsymbol{\mu}_{\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{\mathbf{s}}[0] + 1) \div 32 })', rendering as TeX: {\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'C_{\text{\tiny SLOAD}}(\boldsymbol{\mu}, A, I) \equiv \begin{cases} G_{\mathrm{warmaccess}} & \text{if} \quad (I_{\mathrm{a}}, \boldsymbol{\mu}_{\mathbf{s}}[0]) \in A_{\mathbf{K}} \\ G_{\mathrm{coldsload}} & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny SLOAD}}(\boldsymbol{\mu}, ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny SSTORE}}(\boldsymbol{\sigma}, \boldsymbol{\mu})', rendering as TeX: C_{\text{\tiny SSTORE}}(\boldsymbol{\sig ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\hyperlink{sigma_0}{\boldsymbol{\sigma}_0}', rendering as TeX: \hyperlink{sigma_0}{\boldsymbol{\sigma}_ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\!\begin{aligned} C_{\text{\tiny SSTORE}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) &\equiv \begin{cases} 0 & \text{if} \quad (I_{\mathrm{a}}, \boldsymbol{\mu}_{\mathbf{s}}[0]) \in A_{\mathbf{K}} \\ G_{\mathrm{coldsload}} & \text{otherwise} \\ \end{cases} \\ &+ \begin{cases} G_{\mathrm{warmaccess}} & \text{if} \quad v = v' \; \vee \; v_0 \neq v \\ G_{\mathrm{sset}} & \text{if} \quad v \neq v' \; \wedge \; v_0 = v \; \wedge \; v_0 = 0 \\ G_{\mathrm{sreset}} & \text{if} \quad v \neq v' \; \wedge \; v_0 = v \; \wedge \; v_0 \neq 0 \\ \end{cases} \end{aligned}', rendering as TeX: C_{\text{\tiny SSTORE}}(\boldsymbol{\sig ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'A'_{\mathrm{r}} \equiv A_{\mathrm{r}} + \begin{cases} R_{\mathrm{sclear}} & \text{if} \quad v \neq v' \; \wedge \; v_0 = v \; \wedge \; v' = 0 \\ r_{\text{dirtyclear}} + r_{\text{dirtyreset}} & \text{if} \quad v \neq v' \; \wedge \; v_0 \neq v \\ 0 & \text{otherwise} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'r_{\text{dirtyclear}} \equiv \begin{cases} -R_{\mathrm{sclear}} & \text{if} \quad v_0 \neq 0 \; \wedge \; v = 0 \\ R_{\mathrm{sclear}} & \text{if} \quad v_0 \neq 0 \; \wedge \; v' = 0 \\ 0 & \text{otherwise} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'r_{\text{dirtyreset}} \equiv \begin{cases} G_{\mathrm{sset}} - G_{\mathrm{warmaccess}} & \text{if} \quad v_0 = v' \; \wedge \; v_0 = 0 \\ G_{\mathrm{sreset}} - G_{\mathrm{warmaccess}} & \text{if} \quad v_0 = v' \; \wedge \; v_0 \neq 0 \\ 0 & \text{otherwise} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'J_{\text{\tiny JUMP}}(\boldsymbol{\mu}) \equiv \boldsymbol{\mu}_{\mathbf{s}}[0]', rendering as TeX: J_{\text{\tiny JUMP}}(\boldsymbol{\mu}) ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'J_{\text{\tiny JUMPI}}(\boldsymbol{\mu}) \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{s}}[0] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] \neq 0 \\ \boldsymbol{\mu}_{\mathrm{pc}} + 1 & \text{otherwise} \end{cases}', rendering as TeX: J_{\text{\tiny JUMPI}}(\boldsymbol{\mu}) ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\text{where} \quad c(x) \equiv \begin{cases} I_{\mathbf{b}}[x] & \text{if} \quad x < \lVert I_{\mathbf{b}} \rVert \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\hyperlink{salt}{\zeta} \equiv \varnothing', rendering as TeX: \hyperlink{salt}{\zeta} \equiv \varnothi ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', z, \mathbf{o}) \equiv \begin{cases} \hyperlink{lambda}{\Lambda}(\boldsymbol{\sigma}^*, A, I_{\mathrm{a}}, I_{\mathrm{o}}, L(\boldsymbol{\mu}_{\mathrm{g}}), I_{\mathrm{p}}, \boldsymbol{\mu}_{\mathbf{s}}[0], \mathbf{i}, I_{\mathrm{e}} + 1, \zeta, I_{\mathrm{w}}) & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] \leqslant \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \; \\ \quad &\wedge\; I_{\mathrm{e}} < 1024\\ \big(\boldsymbol{\sigma}, L(\boldsymbol{\mu}_{\mathrm{g}}), A, 0, () \big) & \text{otherwise} \end{cases}', rendering as TeX: \hyperlink{lambda}{\Lambda}(\boldsymbol{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{g}} \equiv \boldsymbol{\mu}_{\mathrm{g}} - \hyperlink{L_but_64}{L}(\boldsymbol{\mu}_{\mathrm{g}}) + g'', rendering as TeX: rm{g}} - \hyperlink{L_but_64}{L}(\boldsy ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{o}} \equiv \begin{cases} () & \text{if} \quad z = 1 \\ \mathbf{o} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', x, \mathbf{o}) \equiv \begin{cases} \begin{array}{l}\hyperlink{theta}{\Theta}(\boldsymbol{\sigma}, A^*, I_{\mathrm{a}}, I_{\mathrm{o}}, t, t, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A),\\ \quad I_{\mathrm{p}}, \boldsymbol{\mu}_{\mathbf{s}}[2], \boldsymbol{\mu}_{\mathbf{s}}[2], \mathbf{i}, I_{\mathrm{e}} + 1, I_{\mathrm{w}})\end{array} & \begin{array}{l}\text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \leqslant \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \;\wedge \\ \quad\quad I_{\mathrm{e}} < 1024\end{array}\\ (\boldsymbol{\sigma}, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), A, 0, ()) & \text{otherwise} \end{cases}', rendering as TeX: array}{l}\hyperlink{theta}{\Theta}(\bold ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{g}} \equiv \boldsymbol{\mu}_{\mathrm{g}} - C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A) + g'', rendering as TeX: hrm{g}} - C_{\text{\tiny CALLGAS}}(\bold ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny CALL}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) + C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A)', rendering as TeX: C_{\text{\tiny CALL}}(\boldsymbol{\sigma ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv \begin{cases} C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) + G_{\mathrm{callstipend}} & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \\ C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny CALLGAS}}(\boldsymbol{\si ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv \begin{cases} \min\{ \hyperlink{L_but_64}{L}(\boldsymbol{\mu}_{\mathrm{g}} - C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A)), \boldsymbol{\mu}_{\mathbf{s}}[0] \} & \text{if} \quad \boldsymbol{\mu}_{\mathrm{g}} \ge C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A)\\ \boldsymbol{\mu}_{\mathbf{s}}[0] & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny GASCAP}}(\boldsymbol{\sig ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv \hyperlink{C_aaccess}{C_{\mathrm{aaccess}}}(t, A) + C_{\text{\tiny XFER}}(\boldsymbol{\mu}) + C_{\text{\tiny NEW}}(\boldsymbol{\sigma}, \boldsymbol{\mu})', rendering as TeX: C_{\text{\tiny EXTRA}}(\boldsymbol{\sigm ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny XFER}}(\boldsymbol{\mu}) \equiv \begin{cases} G_{\mathrm{callvalue}} & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny XFER}}(\boldsymbol{\mu}) ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny NEW}}(\boldsymbol{\sigma}, \boldsymbol{\mu}) \equiv \begin{cases} G_{\mathrm{newaccount}} & \text{if} \quad \mathtt{DEAD}(\boldsymbol{\sigma}, t) \wedge \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny NEW}}(\boldsymbol{\sigma} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', x, \mathbf{o}) \equiv \begin{cases}\begin{array}{l}\Theta(\boldsymbol{\sigma}, A^*, I_{\mathrm{a}}, I_{\mathrm{o}}, I_{\mathrm{a}}, t, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), \\ \quad I_{\mathrm{p}}, \boldsymbol{\mu}_{\mathbf{s}}[2], \boldsymbol{\mu}_{\mathbf{s}}[2], \mathbf{i}, I_{\mathrm{e}} + 1, I_{\mathrm{w}})\end{array} & \begin{array}{l}\text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \leqslant \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \;\wedge\\ \quad\quad{}I_{\mathrm{e}} < 1024\end{array} \\ (\boldsymbol{\sigma}, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), A, 0, ()) & \text{otherwise} \end{cases}', rendering as TeX: m{a}}, t, C_{\text{\tiny CALLGAS}}(\bold ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}', rendering as TeX: \hyperlink{theta}{\Theta} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'H_{\text{\tiny RETURN}}(\boldsymbol{\mu}) \equiv \boldsymbol{\mu}_{\mathbf{m}}[ \boldsymbol{\mu}_{\mathbf{s}}[0] \dots ( \boldsymbol{\mu}_{\mathbf{s}}[0] + \boldsymbol{\mu}_{\mathbf{s}}[1] - 1 ) ]', rendering as TeX: H_{\text{\tiny RETURN}}(\boldsymbol{\mu} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', x, \mathbf{o}) \equiv \begin{cases}\begin{array}{l}\Theta(\boldsymbol{\sigma}, A^*, I_{\mathrm{s}}, I_{\mathrm{o}}, I_{\mathrm{a}}, t, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), \\\quad I_{\mathrm{p}}, 0, I_{\mathrm{v}}, \mathbf{i}, I_{\mathrm{e}} + 1, I_{\mathrm{w}})\end{array} & \text{if} \quad I_{\mathrm{e}} < 1024 \\ (\boldsymbol{\sigma}, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), A, 0, ()) & \text{otherwise} \end{cases}', rendering as TeX: m{a}}, t, C_{\text{\tiny CALLGAS}}(\bold ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}', rendering as TeX: \hyperlink{theta}{\Theta} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}', rendering as TeX: \hyperlink{theta}{\Theta} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'H_{\text{\tiny RETURN}}(\boldsymbol{\mu}) \equiv \boldsymbol{\mu}_{\mathbf{m}}[ \boldsymbol{\mu}_{\mathbf{s}}[0] \dots ( \boldsymbol{\mu}_{\mathbf{s}}[0] + \boldsymbol{\mu}_{\mathbf{s}}[1] - 1 ) ]', rendering as TeX: H_{\text{\tiny RETURN}}(\boldsymbol{\mu} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\boldsymbol{\sigma}'[r] \equiv \begin{cases} \varnothing &\text{if}\quad \boldsymbol{\sigma}[r] = \varnothing\ \wedge\ \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} = 0\\ (\boldsymbol{\sigma}[r]_{\mathrm{n}}, \boldsymbol{\sigma}[r]_{\mathrm{b}} + \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}}, \boldsymbol{\sigma}[r]_{\mathbf{s}}, \boldsymbol{\sigma}[r]_{\mathrm{c}}) & \text{if}\quad r \neq I_{\mathrm{a}} \\ (\boldsymbol{\sigma}[r]_{\mathrm{n}}, 0, \boldsymbol{\sigma}[r]_{\mathbf{s}}, \boldsymbol{\sigma}[r]_{\mathrm{c}}) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} C_{\text{\tiny SELFDESTRUCT}}(\boldsymbol{\sigma}, \boldsymbol{\mu}) &\equiv G_{\mathrm{selfdestruct}} + \begin{cases} 0 & \text{if}\quad r \in \hyperlink{accessed_addresses_defn_words_A__a}{A_{\mathbf{a}}}\\ G_{\mathrm{coldaccountaccess}} & \text{otherwise} \end{cases}\\ &+ \begin{cases} G_{\mathrm{newaccount}} & \text{if}\quad \mathtt{DEAD}(\boldsymbol{\sigma}, r) \wedge \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \neq 0 \\ 0 & \text{otherwise} \end{cases} \end{aligned}', rendering as TeX: C_{\text{\tiny SELFDESTRUCT}}(\boldsymbo ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{epoch}}(H_{\mathrm{i}}) = \left\lfloor\frac{H_{\mathrm{i}}}{J_{\mathrm{epoch}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{prime}}(x, y) = \begin{cases} x & \text{if} \quad x / y \in \mathbb{N} \\ E_{\mathrm{prime}}(x - 2 \cdot y, y) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'C_{\mathrm{seedhash}}(H_{\mathrm{i}}) = \begin{cases} \mathbf{0}_{32} & \text{if} \quad E_{\mathrm{epoch}}(H_{\mathrm{i}}) = 0 \quad \\ \texttt{KEC}(C_{\mathrm{seedhash}}(H_{\mathrm{i}} - J_{\mathrm{epoch}})) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\mathbf{c}_{i} = \begin{cases} \texttt{KEC512}(\mathbf{s}) & \text{if} \quad i = 0 \quad \\ \texttt{KEC512}(\mathbf{c}_{i-1}) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'n = \left\lfloor\frac{c_{\mathrm{size}}}{J_{\mathrm{hashbytes}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{cacherounds}}(\mathbf{x}, y) = \begin{cases} \mathbf{x} & \text{if} \quad y = 0 \quad \\ E_\text{\tiny RMH}(\mathbf{x}) & \text{if} \quad y = 1 \quad \\ E_{\mathrm{cacherounds}}(E_\text{\tiny RMH}(\mathbf{x}), y -1 ) & \text{otherwise} \end{cases}', rendering as TeX: E_\text{\tiny RMH}(\mathbf{x}) & \text{i ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_\text{\tiny RMH}(\mathbf{x}) = \big( E_{\mathrm{rmh}}(\mathbf{x}, 0), E_{\mathrm{rmh}}(\mathbf{x}, 1), ... , E_{\mathrm{rmh}}(\mathbf{x}, n - 1) \big)\Hy@raisedlink{\hypertarget{E__cacherounds}{}}{}', rendering as TeX: E_\text{\tiny RMH}(\mathbf{x}) = \big( E ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\begin{gathered} E_{\mathrm{rmh}}(\mathbf{x}, i) = \texttt{KEC512}(\mathbf{x'}[(i - 1 + n) \bmod n] \oplus \mathbf{x'}[\mathbf{x'}[i][0] \bmod n]) \\ \text{with} \quad \mathbf{x'} = \mathbf{x} \quad \text{except} \quad \mathbf{x'}[j] = E_{\mathrm{rmh}}(\mathbf{x}, j) \quad \forall \quad j < i\end{gathered}', rendering as TeX [WARNING] Could not convert TeX math '\mathbf{d}[i] = E_{\mathrm{datasetitem}}(\mathbf{c}, i) \quad \forall \quad i < \left\lfloor\frac{d_{\mathrm{size}}}{J_{\mathrm{hashbytes}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_\text{\tiny FNV}(\mathbf{x}, \mathbf{y}) = (\mathbf{x} \cdot (\mathrm{0x01000193} \oplus \mathbf{y})) \bmod 2^{32}', rendering as TeX: E_\text{\tiny FNV}(\mathbf{x}, \mathbf{y ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{parents}}(\mathbf{c}, i, p, \mathbf{m}) = \begin{cases} E_{\mathrm{parents}}(\mathbf{c}, i, p +1, E_{\mathrm{mix}}(\mathbf{m}, \mathbf{c}, i, p + 1)) & \text{if} \quad p < J_{\mathrm{parents}} -2 \\ E_{\mathrm{mix}}(\mathbf{m}, \mathbf{c}, i, p + 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{mix}}(\mathbf{m}, \mathbf{c}, i, p) = \begin{cases} \texttt{KEC512}(\mathbf{c}[i \bmod c_\mathrm{{size}}] \oplus i) & \text{if} \quad p = 0 \\ E_\text{\tiny FNV}\big(\mathbf{m}, \mathbf{c}[E_\text{\tiny FNV}(i \oplus p, \mathbf{m}[p \bmod \lfloor J_{\mathrm{hashbytes}} / J_{\mathrm{wordbytes}} \rfloor]) \bmod c_{\mathrm{size}}] \big) & \text{otherwise} \end{cases}', rendering as TeX: E_\text{\tiny FNV}\big(\mathbf{m}, \math ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_\text{\tiny FNV}', rendering as TeX: E_\text{\tiny FNV} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\mathtt{PoW}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }, H_{\mathrm{n}}, \mathbf{d}) = \lbrace \mathbf{m}_{\mathrm{c}}(\mathtt{KEC}(\mathtt{RLP}(L_{\mathrm{H}}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }))), H_{\mathrm{n}}, \mathbf{d}), \texttt{KEC}(\mathbf{s}_{\mathrm{h}}(\mathtt{KEC}(\mathtt{RLP}(L_{\mathrm{H}}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }))), H_{\mathrm{n}}) + \mathbf{m}_{\mathrm{c}}(\mathtt{KEC}(\mathtt{RLP}(L_{\mathrm{H}}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }))), H_{\mathrm{n}}, \mathbf{d})) \rbrace', rendering as TeX: \mathtt{PoW}(H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math 'H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }', rendering as TeX: H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\mathbf{m}_{\mathrm{c}}(\mathbf{h}, \mathbf{n}, \mathbf{d}) = E_{\mathrm{compress}}(E_{\mathrm{accesses}}(\mathbf{d}, \sum_{i = 0}^{n_{\mathrm{mix}}} \mathbf{s}_{\mathrm{h}}(\mathbf{h}, \mathbf{n}), \mathbf{s}_{\mathrm{h}}(\mathbf{h}, \mathbf{n}), -1), -4)', rendering as TeX [WARNING] Could not convert TeX math 'n_{\mathrm{mix}} = \left\lfloor\frac{J_{\mathrm{mixbytes}}}{J_{\mathrm{hashbytes}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{accesses}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i) = \begin{cases} E_{\mathrm{mixdataset}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i) & \text{if} \quad i = J_{\mathrm{accesses}} -2 \\ E_{\mathrm{accesses}}(E_{\mathrm{mixdataset}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i), \mathbf{s}, i + 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{mixdataset}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i) = E_\text{\tiny FNV}(\mathbf{m}, E_{\mathrm{newdata}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i))', rendering as TeX: f{s}, i) = E_\text{\tiny FNV}(\mathbf{m} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{newdata}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i)[j] = \mathbf{d}[E_\text{\tiny FNV}(i \oplus \mathbf{s}[0], \mathbf{m}[i \bmod \left\lfloor\frac{J_{\mathrm{mixbytes}}}{J_{\mathrm{wordbytes}}}\right\rfloor]) \bmod \left\lfloor\frac{d_{\mathrm{size}} / J_{\mathrm{hashbytes}}}{n_{\mathrm{mix}}}\right\rfloor \cdot n_{\mathrm{mix}} + j] \quad \forall \quad j < n_{\mathrm{mix}}', rendering as TeX: \mathbf{d}[E_\text{\tiny FNV}(i \oplus \ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{compress}}(\mathbf{m}, i) = \begin{cases} \mathbf{m} & \text{if} \quad i \geqslant \lVert \mathbf{m} \rVert - 8 \\ E_{\mathrm{compress}}(E_\text{\tiny FNV}(E_\text{\tiny FNV}(E_\text{\tiny FNV}(\mathbf{m}[i + 4], \mathbf{m}[i + 5]), \mathbf{m}[i + 6]), \mathbf{m}[i + 7]), i + 8) & \text{otherwise} \end{cases}', rendering as TeX: compress}}(E_\text{\tiny FNV}(E_\text{\t ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" franfran@DESKTOP-T7KAS9N:~/Projects/misc/yellowpaper$ ls Biblio.bib build.sh fichier.html LICENCE.md Paper.aux Paper.log Paper.tmp travis_deploy.sh BRANCHES.md cancel.sty IEEEbib.bst Paper.4ct Paper.dvi Paper.reflib Paper.xref Version.tex build deploykey.enc JS.tex Paper.4tc Paper-epub3 Paper.tex README.md Wire.tex franfran@DESKTOP-T7KAS9N:~/Projects/misc/yellowpaper$ pandoc -f latex -t html --output Paper.html Paper.tex > dump.txt [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{Upsilon_state_transition}{}}\Hy@raisedlink{\hypertarget{Upsilon}{}}\boldsymbol{\sigma}_{t+1} \equiv \Upsilon(\boldsymbol{\sigma}_{t}, T)', rendering as TeX: \Hy@raisedlink{\hypertarget{Upsilon_stat ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}_{t+1} & \equiv & \hyperlink{Pi}{\Pi}(\boldsymbol{\sigma}_{t}, B) \\ B & \equiv & (..., (T_0, T_1, ...), ...) \\ \Pi(\boldsymbol{\sigma}, B) & \equiv & \hyperlink{Omega}{\Omega}(B, \hyperlink{Upsilon}{\Upsilon}(\Upsilon(\boldsymbol{\sigma}, T_0), T_1) ...)\end{aligned}', rendering as TeX: }_{t+1} & \equiv & \hyperlink{Pi}{\Pi}(\ ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\hyperlink{Pi}{\Pi}', rendering as TeX: \hyperlink{Pi}{\Pi} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{chain_id}{}} \beta = 1', rendering as TeX: \Hy@raisedlink{\hypertarget{chain_id}{}} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{L_transaction}{}} L_{\mathrm{T}}(T) \equiv \begin{cases} (T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, T_{\mathrm{w}}, T_{\mathrm{r}}, T_{\mathrm{s}}) & \text{if} \; T_{\mathrm{x}} = 0 \\ (T_{\mathrm{c}}, T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, T_{\mathbf{A}}, T_{\mathrm{y}}, T_{\mathrm{r}}, T_{\mathrm{s}}) & \text{if} \; T_{\mathrm{x}} = 1 \\ \end{cases}', rendering as TeX: \Hy@raisedlink{\hypertarget{L_transactio ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\mathbf{p} \equiv \begin{cases} T_{\mathbf{i}} & \text{if}\ T_{\mathrm{t}} = \varnothing \\ T_{\mathbf{d}} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{array}[t]{lclclc} T_{\mathrm{x}} \in \{0, 1\} & \wedge & T_{\mathrm{c}} = \beta & \wedge & T_{\mathrm{n}} \in \mathbb{N}_{256} & \wedge \\ T_{\mathrm{p}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{g}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{v}} \in \mathbb{N}_{256} & \wedge \\ T_{\mathrm{w}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{r}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{s}} \in \mathbb{N}_{256} & \wedge \\ T_{\mathrm{y}} \in \mathbb{N}_{1} & \wedge & T_{\mathbf{d}} \in \mathbb{B} & \wedge & T_{\mathbf{i}} \in \mathbb{B} \end{array}', rendering as TeX: \begin{array}[t]{lclclc} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'T_{\mathbf{t}} \in \begin{cases} \mathbb{B}_{20} & \text{if} \quad T_{\mathrm{t}} \neq \varnothing \\ \mathbb{B}_{0} & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'M(O) \equiv \hyperlink{bigvee}{\bigvee}_{x \in \{O_{\mathrm{a}}\} \cup O_{\mathbf{t}}} \big( M_{3:2048}(x) \big)', rendering as TeX: ) \equiv \hyperlink{bigvee}{\bigvee}_{x ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} M_{3:2048}(\mathbf{x}: \mathbf{x} \in \mathbb{B}) & \equiv & \mathbf{y}: \mathbf{y} \in \mathbb{B}_{256} \quad \text{where:}\\ \mathbf{y} & = & (0, 0, ..., 0) \quad \text{except:}\\ \forall i \in \{0, 2, 4\}&:&\mathcal{B}_{2047 - m(\mathbf{x}, i)}(\mathbf{y}) = 1\\ m(\mathbf{x}, i) &\equiv& \mathtt{KEC}(\mathbf{x})[i, i + 1] \bmod 2048\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{array}[t]{lclc} \Hy@raisedlink{\hypertarget{new_state_H__r}{}}{}H_{\mathrm{r}} &\equiv& \mathtt{TRIE}(L_S(\Pi(\boldsymbol{\sigma}, B))) & \wedge \\ \Hy@raisedlink{\hypertarget{Ommer_block_hash_H__o}{}}{}H_{\mathrm{o}} &\equiv& \mathtt{KEC}(\mathtt{RLP}(L_H^*(B_{\mathbf{U}}))) & \wedge \\ \Hy@raisedlink{\hypertarget{tx_block_hash_H__t}{}}{}H_{\mathrm{t}} &\equiv& \mathtt{TRIE}(\{\forall i < \lVert B_{\mathbf{T}} \rVert, i \in \mathbb{N}: &\\&& \quad\quad p_{\mathrm{T}}(i, B_{\mathbf{T}}[i])\}) & \wedge \\ \Hy@raisedlink{\hypertarget{Receipts_Root_H__e}{}}{}H_{\mathrm{e}} &\equiv& \mathtt{TRIE}(\{\forall i < \lVert B_{\mathbf{R}} \rVert, i \in \mathbb{N}: &\\&& \quad\quad p_{\mathrm{R}}(i, B_{\mathbf{R}}[i])\}) & \wedge \\ \Hy@raisedlink{\hypertarget{logs_Bloom_filter_H__b}{}}{}H_{\mathrm{b}} &\equiv& \bigvee_{\mathbf{r} \in B_{\mathbf{R}}} \big( \mathbf{r}_{\mathrm{b}} \big) \end{array}', rendering as TeX: \begin{array}[t]{lclc} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'p_{\mathrm{T}}(k, T) \equiv \left( \mathtt{RLP}(k), \begin{cases} \mathtt{RLP}(\hyperlink{L_transaction}{L_{\mathrm{T}}}(T)) & \text{if} \quad T_{\mathrm{x}} = 0 \\ (T_{\mathrm{x}}) \cdot \mathtt{RLP}(L_{\mathrm{T}}(T)) & \text{otherwise} \end{cases} \right)', rendering as TeX: htt{RLP}(\hyperlink{L_transaction}{L_{\m ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'p_{\mathrm{R}}(k, R) \equiv \left( \mathtt{RLP}(k), \begin{cases} \mathtt{RLP}(\hyperlink{L__R}{L_{\mathrm{R}}}(R)) & \text{if} \quad R_{\mathrm{x}} = 0 \\ (R_{\mathrm{x}}) \cdot \mathtt{RLP}(L_{\mathrm{R}}(R)) & \text{otherwise} \end{cases} \right)', rendering as TeX: htt{RLP}(\hyperlink{L__R}{L_{\mathrm{R}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \quad L_{\mathrm{H}}(H) & \equiv & (\begin{array}[t]{l}H_{\mathrm{p}}, H_{\mathrm{o}}, H_{\mathrm{c}}, H_{\mathrm{r}}, H_{\mathrm{t}}, H_{\mathrm{e}}, H_{\mathrm{b}}, H_{\mathrm{d}},\\ H_{\mathrm{i}}, H_{\mathrm{l}}, H_{\mathrm{g}}, H_{\mathrm{s}}, H_{\mathrm{x}}, H_{\mathrm{m}}, H_{\mathrm{n}} \; )\end{array} \\ \quad L_{\mathrm{B}}(B) & \equiv & \big( L_{\mathrm{H}}(B_{\mathrm{H}}), \widetilde{L}_{\mathrm{T}}^*(B_{\mathbf{T}}), L_{\mathrm{H}}^*(\hyperlink{ommer_block_headers_B__U}{B_{\mathbf{U}}}) \big)\end{aligned}', rendering as TeX: H}}(H) & \equiv & (\begin{array}[t]{l}H_ ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\widetilde{L}_{\mathrm{T}}(T) = \begin{cases} \hyperlink{L_transaction}{L_{\mathrm{T}}}(T) & \text{if} \quad T_{\mathrm{x}} = 0 \\ (T_{\mathrm{x}}) \cdot \mathtt{RLP}(L_{\mathrm{T}}(T)) & \text{otherwise} \end{cases}', rendering as TeX: \hyperlink{L_transaction}{L_{\mathrm{T}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{array}[t]{lclclcl} \hyperlink{parent_Hash_H__p_def_words}{H_{\mathrm{p}}} \in \mathbb{B}_{32} & \wedge & H_{\mathrm{o}} \in \mathbb{B}_{32} & \wedge & H_{\mathrm{c}} \in \mathbb{B}_{20} & \wedge \\ \hyperlink{new_state_H__r}{H_{\mathrm{r}}} \in \mathbb{B}_{32} & \wedge & H_{\mathrm{t}} \in \mathbb{B}_{32} & \wedge & \hyperlink{Receipts_Root_H__e}{H_{\mathrm{e}}} \in \mathbb{B}_{32} & \wedge \\ \hyperlink{logs_Bloom_filter_H__b}{H_{\mathrm{b}}} \in \mathbb{B}_{256} & \wedge & H_{\mathrm{d}} \in \mathbb{N} & \wedge & \hyperlink{block_number_H__i}{H_{\mathrm{i}}} \in \mathbb{N} & \wedge \\ \hyperlink{block_gas_limit_H__l}{H_{\mathrm{l}}} \in \mathbb{N} & \wedge & H_{\mathrm{g}} \in \mathbb{N} & \wedge & \hyperlink{block_timestamp_H__s}{H_{\mathrm{s}}} \in \mathbb{N}_{256} & \wedge \\ \hyperlink{block_extraData_H__x}{H_{\mathrm{x}}} \in \mathbb{B} & \wedge & H_{\mathrm{m}} \in \mathbb{B}_{32} & \wedge & \hyperlink{block_nonce_H__n}{H_{\mathrm{n}}} \in \mathbb{B}_{8} \end{array}', rendering as TeX: \begin{array}[t]{lclclcl} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'P(H) \equiv B': \mathtt{KEC}(\mathtt{RLP}(B'_{\mathrm{H}})) = \hyperlink{parent_Hash_H__p_def_words}{H_{\mathrm{p}}}', rendering as TeX: {H}})) = \hyperlink{parent_Hash_H__p_def ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'D(H) \equiv \begin{dcases} 2^{34} & \text{if} \quad H_{\mathrm{i}} = 0\\ \text{max}\!\left(D_\mathrm{min}, {P(H)_{\mathrm{H}}}_{\mathrm{d}} + x\times\ensuremath{\varsigma_2}+ \ensuremath{\epsilon}\right) & \text{otherwise}\\ \end{dcases}', rendering as TeX: D(H) \equiv \begin{dcases} ^ unexpected "d" expecting white space or "Bmatrix", "Vmatrix", "align", "alignat", "aligned", "alignedat", "array", "bmatrix", "cases", "eqnarray", "equation", "flalign", "flaligned", "gather", "gathered", "matrix", "multline", "pmatrix", "smallmatrix", "split", "vmatrix" [WARNING] Could not convert TeX math '\begin{aligned} D_\mathrm{min}&\equiv 2^{17} \\ x&\equiv \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{d}}}{2048}\right\rfloor \\ \ensuremath{\varsigma_2}&\equiv \text{max}\left( y - \left\lfloor\frac{H_{\mathrm{s}} - {P(H)_{\mathrm{H}}}_{\mathrm{s}}}{9}\right\rfloor, -99 \right) \\ y &\equiv \begin{cases} 1 & \text{if} \quad \lVert P(H)_{\mathbf{U}}\rVert = 0 \\ 2 & \text{otherwise} \end{cases} \\ \ensuremath{\epsilon}&\equiv \left\lfloor 2^{ \left\lfloor H'_{\mathrm{i}} \div 100000 \right\rfloor - 2 } \right\rfloor \\ H'_{\mathrm{i}} &\equiv \max(H_{\mathrm{i}} - \kappa, 0)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\kappa \equiv \begin{cases} 3000000 & \text{if} \quad F_{\mathrm{Byzantium}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Constantinople}} \\ 5000000 & \text{if} \quad F_{\mathrm{Constantinople}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Muir Glacier}} \\ 9000000 & \text{if} \quad F_{\mathrm{Muir Glacier}} \leqslant H_{\mathrm{i}} < F_{\mathrm{London}} \\ 9700000 & \text{if} \quad F_{\mathrm{London}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Arrow Glacier}} \\ 10700000 & \text{if} \quad F_{\mathrm{Arrow Glacier}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Gray Glacier}} \\ 11400000 & \text{if} \quad H_{\mathrm{i}} \geqslant F_{\mathrm{Gray Glacier}} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} & & H_{\mathrm{l}} < {P(H)_{\mathrm{H}}}_{\mathrm{l}} + \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} > {P(H)_{\mathrm{H}}}_{\mathrm{l}} - \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} \geqslant 5000\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math 'n \leqslant \frac{2^{256}}{H_{\mathrm{d}}} \quad \wedge \quad m = H_{\mathrm{m}}', rendering as TeX [WARNING] Could not convert TeX math '(n, m) = \mathtt{PoW}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }, H_{\mathrm{n}}, \mathbf{d})', rendering as TeX: = \mathtt{PoW}(H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math 'H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }', rendering as TeX: H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\begin{aligned} V(H) & \equiv & n \leqslant \frac{2^{256}}{H_{\mathrm{d}}} \wedge m = H_{\mathrm{m}} \quad \wedge \\ \nonumber & & H_{\mathrm{d}} = D(H) \quad \wedge \\ \nonumber& & H_{\mathrm{g}} \le H_{\mathrm{l}} \quad \wedge \\ \nonumber& & H_{\mathrm{l}} < {P(H)_{\mathrm{H}}}_{\mathrm{l}} + \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} > {P(H)_{\mathrm{H}}}_{\mathrm{l}} - \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} \geqslant 5000 \quad \wedge \\ \nonumber& & H_{\mathrm{s}} > {P(H)_{\mathrm{H}}}_{\mathrm{s}} \quad \wedge \\ \nonumber& & H_{\mathrm{i}} = {P(H)_{\mathrm{H}}}_{\mathrm{i}} +1 \quad \wedge \\ \nonumber& & \lVert H_{\mathrm{x}} \rVert \le 32\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '(n, m) = \mathtt{PoW}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }, H_{\mathrm{n}}, \mathbf{d})', rendering as TeX: = \mathtt{PoW}(H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\hyperlink{precompiled_set}{\pi}', rendering as TeX: \hyperlink{precompiled_set}{\pi} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} g_0 \equiv {} & \sum_{i \in T_{\mathbf{i}}, T_{\mathbf{d}}} \begin{cases} \hyperlink{G__txdatazero}{G_{\mathrm{txdatazero}}} & \text{if} \quad i = 0 \\ \hyperlink{G__txdatanonzero}{G_{\mathrm{txdatanonzero}}} & \text{otherwise} \end{cases} \\ \nonumber {} & + \begin{cases} \hyperlink{G__txcreate}{G_{\mathrm{txcreate}}} & \text{if} \quad T_{\mathrm{t}} = \varnothing \\ 0 & \text{otherwise} \end{cases} \\ \nonumber {} & + \hyperlink{G__transaction}{G_{\mathrm{transaction}}} \\ \nonumber {} & + \sum_{j = 0}^{\lVert T_{\mathbf{A}} \rVert - 1} \big( G_{\mathrm{accesslistaddress}} + \lVert T_{\mathbf{A}}[j]_{\mathbf{s}} \rVert G_{\mathrm{accessliststorage}} \big)\end{aligned}', rendering as TeX: }, T_{\mathbf{d}}} \begin{cases} \hyperl ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\hyperlink{G__accesslistaddress}{G_{\mathrm{accesslistaddress}}}', rendering as TeX: \hyperlink{G__accesslistaddress}{G_{\mat ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{G__accessliststorage}{G_{\mathrm{accessliststorage}}}', rendering as TeX: \hyperlink{G__accessliststorage}{G_{\mat ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'v_0 \equiv \hyperlink{tx_gas_limit_T__g}{T_{\mathrm{g}}} \hyperlink{tx_gas_price_T__p}{T_{\mathrm{p}}} + \hyperlink{tx_value_T__v}{T_{\mathrm{v}}}', rendering as TeX: 0 \equiv \hyperlink{tx_gas_limit_T__g}{T ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{array}[t]{rcl} S(T) & \neq & \varnothing \quad \wedge \\ \boldsymbol{\sigma}[S(T)]_{\mathrm{c}} & = & \texttt{KEC}\big( () \big) \quad \wedge \\ \Hy@raisedlink{\hypertarget{transaction_nonce}{}}{}T_{\mathrm{n}} & = & \boldsymbol{\sigma}[S(T)]_{\mathrm{n}} \quad \wedge \\ g_0 & \leqslant & T_{\mathrm{g}} \quad \wedge \\ v_0 & \leqslant & \boldsymbol{\sigma}[S(T)]_{\mathrm{b}} \quad \wedge \\ T_{\mathrm{g}} & \leqslant & {B_{\mathrm{H}}}_{\mathrm{l}} - \hyperlink{ell}{\ell}(B_{\mathbf{R}})_{\mathrm{u}} \end{array}', rendering as TeX: \begin{array}[t]{rcl} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math '\hyperlink{ell}{\ell}(B_{\mathbf{R}})_{\mathrm{u}}', rendering as TeX: \hyperlink{ell}{\ell}(B_{\mathbf{R}})_{\ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Hy@raisedlink{\hypertarget{sigma_0}{}}{}\boldsymbol{\sigma}_0 & \equiv & \boldsymbol{\sigma} \quad \text{except:} \\ \boldsymbol{\sigma}_0[S(T)]_{\mathrm{b}} & \equiv & \boldsymbol{\sigma}[S(T)]_{\mathrm{b}} - T_{\mathrm{g}} T_{\mathrm{p}} \\ \boldsymbol{\sigma}_0[S(T)]_{\mathrm{n}} & \equiv & \boldsymbol{\sigma}[S(T)]_{\mathrm{n}} + 1\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{sigma_0}{}}{ ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}_{\mathrm{P}}, g', A, z) \equiv \begin{cases} \hyperlink{lambda}{\Lambda}_{4}(\boldsymbol{\sigma}_0, A^*, S(T), S(T), g, &\\ \quad\; T_{\mathrm{p}}, T_{\mathrm{v}}, T_{\mathbf{i}}, 0, \varnothing, \top) & \text{if} \quad T_{\mathrm{t}} = \varnothing \\ \hyperlink{theta}{\Theta}_{4}(\boldsymbol{\sigma}_0, A^*, S(T), S(T), T_{\mathrm{t}}, &\\ \quad\; T_{\mathrm{t}}, g, T_{\mathrm{p}}, T_{\mathrm{v}}, T_{\mathrm{v}}, T_{\mathbf{d}}, 0, \top) & \text{otherwise} \end{cases}', rendering as TeX: \hyperlink{lambda}{\Lambda}_{4}(\boldsym ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} A^* & \equiv A^0 \quad \text{except} \\ A^*_{\mathbf{a}} & \equiv A^0_{\mathbf{a}} \cup \{S(T)\} \cup_{E \in T_{\mathbf{A}}} \{ \hyperlink{access_list_entry}{E}_{\mathrm{a}} \} \\ A^*_{\mathbf{K}} & \equiv \bigcup_{E \in T_{\mathbf{A}}} \big\{ \forall i < \lVert E_{\mathbf{s}} \rVert, i \in \mathbb{N}: \; (E_{\mathrm{a}}, E_{\mathbf{s}}[i]) \big\}\end{aligned}', rendering as TeX: T_{\mathbf{A}}} \{ \hyperlink{access_lis ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}_{4}', rendering as TeX: \hyperlink{theta}{\Theta}_{4} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{lambda}{\Lambda}_{4}', rendering as TeX: \hyperlink{lambda}{\Lambda}_{4} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'g^* \equiv g' + \min \left\{ \Big\lfloor \dfrac{T_{\mathrm{g}} - g'}{2} \Big\rfloor, A'_{\mathrm{r}} \right\}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}^* & \equiv & \boldsymbol{\sigma}_{\mathrm{P}} \quad \text{except} \\ \boldsymbol{\sigma}^*[S(T)]_{\mathrm{b}} & \equiv & \boldsymbol{\sigma}_{\mathrm{P}}[S(T)]_{\mathrm{b}} + g^* T_{\mathrm{p}} \\ \boldsymbol{\sigma}^*[m]_{\mathrm{b}} & \equiv & \boldsymbol{\sigma}_{\mathrm{P}}[m]_{\mathrm{b}} + (T_{\mathrm{g}} - g^*) T_{\mathrm{p}} \\ m & \equiv & {B_{\mathrm{H}}}_{\mathrm{c}}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}' & \equiv & \boldsymbol{\sigma}^* \quad \text{except} \\ \Hy@raisedlink{\hypertarget{self_destruct_list_A__s}{}}{}\forall i \in A_{\mathbf{s}}: \boldsymbol{\sigma}'[i] & = & \varnothing \\ \Hy@raisedlink{\hypertarget{touched_A__t}{}}{}\forall i \in A_{\mathbf{t}}: \boldsymbol{\sigma}'[i] & = & \varnothing \quad\text{if}\quad \mathtt{DEAD}(\boldsymbol{\sigma}^*\kern -2pt, i)\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{self_destruc ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Upsilon^{\mathrm{g}}(\boldsymbol{\sigma}, T) & \equiv & T_{\mathrm{g}} - g^* \\ \Upsilon^{\mathbf{l}}(\boldsymbol{\sigma}, T) & \equiv & \hyperlink{tx_log_series_wordy_defn_A__l}{A_{\mathbf{l}}} \\ \Upsilon^{\mathrm{z}}(\boldsymbol{\sigma}, T) & \equiv & z\end{aligned}', rendering as TeX: ma}, T) & \equiv & \hyperlink{tx_log_ser ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} a & \equiv \mathtt{ADDR}(s, \boldsymbol{\sigma}[s]_{\mathrm{n}} - 1, \zeta, \mathbf{i}) \\ \label{eq:new-address} \mathtt{ADDR}(s, n, \zeta, \mathbf{i}) & \equiv \mathcal{B}_{96..255}\Big(\mathtt{KEC}\big( L_{\mathrm{A}}(s, n, \zeta, \mathbf{i})\big) \Big) \\ L_{\mathrm{A}}(s, n, \zeta, \mathbf{i}) & \equiv \begin{cases} \mathtt{RLP}\big(\;(s, n)\;\big) & \text{if}\ \zeta = \varnothing \\ (255) \cdot s \cdot \zeta \cdot \mathtt{KEC}(\mathbf{i}) & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}^*[a] &=& \big( 1, v + v', \mathtt{\hyperlink{trie}{TRIE}}(\varnothing), \mathtt{KEC}\big(()\big) \big) \\ \boldsymbol{\sigma}^*[s] &=& \begin{cases} \varnothing & \text{if}\ \boldsymbol{\sigma}[s] = \varnothing \ \wedge\ v = 0 \\ \mathbf{a}^* & \text{otherwise} \end{cases} \\ \mathbf{a}^* &\equiv& (\boldsymbol{\sigma}[s]_{\mathrm{n}}, \boldsymbol{\sigma}[s]_{\mathrm{b}} - v, \boldsymbol{\sigma}[s]_{\mathbf{s}}, \boldsymbol{\sigma}[s]_{\mathrm{c}})\end{aligned}', rendering as TeX: & \big( 1, v + v', \mathtt{\hyperlink{tr ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math 'v' \equiv \begin{cases} 0 & \text{if} \quad \boldsymbol{\sigma}[a] = \varnothing\\ \boldsymbol{\sigma}[a]_{\mathrm{b}} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\hyperlink{xi_def}{\Xi}', rendering as TeX: \hyperlink{xi_def}{\Xi} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}^{**}, g^{**}, A^{**}, \mathbf{o}) \equiv \Xi(\boldsymbol{\sigma}^*, g, A^*, I) \\', rendering as TeX: a}^*, g, A^*, I) \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} I_{\mathrm{a}} & \equiv & a \\ I_{\mathrm{o}} & \equiv & o \\ I_{\mathrm{p}} & \equiv & p \\ I_{\mathbf{d}} & \equiv & () \\ I_{\mathrm{s}} & \equiv & s \\ \hyperlink{I__v}{I_{\mathrm{v}}} & \equiv & v \\ I_{\mathbf{b}} & \equiv & \mathbf{i} \\ I_{\mathrm{e}} & \equiv & e \\ I_{\mathrm{w}} & \equiv & w\end{aligned}', rendering as TeX: \hyperlink{I__v}{I_{\mathrm{v}}} & \equi ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \quad g' \equiv & \begin{cases} 0 & \text{if} \quad F \\ g^{**} - c & \text{otherwise} \\ \end{cases} \\ \quad \boldsymbol{\sigma}' \equiv & \begin{cases} \boldsymbol{\sigma} & \text{if} \quad F \ \lor\ \boldsymbol{\sigma}^{**} = \varnothing \\ \boldsymbol{\sigma}^{**} \quad \text{except:} & \\ \quad\boldsymbol{\sigma}'[a] = \varnothing & \text{if} \quad \mathtt{DEAD}(\boldsymbol{\sigma}^{**}, a) \\ \boldsymbol{\sigma}^{**} \quad \text{except:} & \\ \quad\boldsymbol{\sigma}'[a]_{\mathrm{c}} = \texttt{KEC}(\mathbf{o}) & \text{otherwise} \end{cases} \\ \quad A' \equiv & \begin{cases} A^* & \text{if} \quad F \ \lor\ \boldsymbol{\sigma}^{**} = \varnothing \\ A^{**} & \text{otherwise} \\ \end{cases} \\ \quad z \equiv & \begin{cases} 0 & \text{if} \quad F \ \lor\ \boldsymbol{\sigma}^{**} = \varnothing \\ 1 & \text{otherwise} \end{cases} \\ \nonumber \text{where} \\ F \equiv & \big( \boldsymbol{\sigma}[a] \neq \varnothing \ \wedge\ \big(\boldsymbol{\sigma}[a]_c \neq \texttt{\small KEC}\big(()\big) \vee \boldsymbol{\sigma}[a]_n \neq 0 \big) \big) \quad \vee \\ \nonumber &(\boldsymbol{\sigma}^{**} = \varnothing \ \wedge\ \mathbf{o} = \varnothing) \quad \vee \\ \nonumber &g^{**} < c \quad \vee \\ \nonumber &\lVert \mathbf{o} \rVert > 24576\end{aligned}', rendering as TeX: {\sigma}[a]_c \neq \texttt{\small KEC}\b ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', z, \mathbf{o}) \equiv \Hy@raisedlink{\hypertarget{theta}{}}{\Theta}(\boldsymbol{\sigma}, A, s, o, r, c, g, p, v, \tilde{v}, \mathbf{d}, e, w)', rendering as TeX: thbf{o}) \equiv \Hy@raisedlink{\hypertar ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\sigma}_1 \equiv \boldsymbol{\sigma}_1' \quad \text{except:} \\', rendering as TeX: d \text{except:} \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\sigma}_1[s] \equiv \begin{cases} \varnothing & \text{if}\ \boldsymbol{\sigma}_1'[s] = \varnothing \ \wedge\ v = 0 \\ \mathbf{a}_1 &\text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\text{and}\quad \boldsymbol{\sigma}_1' \equiv \boldsymbol{\sigma} \quad \text{except:} \\', rendering as TeX: d \text{except:} \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{cases} \boldsymbol{\sigma}_1'[r] \equiv (0, v, \mathtt{TRIE}(\varnothing), \mathtt{KEC}(())) & \text{if} \quad \boldsymbol{\sigma}[r] = \varnothing \wedge v \neq 0 \\ \boldsymbol{\sigma}_1'[r] \equiv \varnothing & \text{if}\quad \boldsymbol{\sigma}[r] = \varnothing \wedge v = 0 \\ \boldsymbol{\sigma}_1'[r] \equiv \mathbf{a}_1' & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}' & \equiv & \begin{cases} \boldsymbol{\sigma} & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \\ \boldsymbol{\sigma}^{**} & \text{otherwise} \end{cases} \\ g' & \equiv & \begin{cases} 0 & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \ \wedge \\ &\quad \mathbf{o} = \varnothing \\ g^{**} & \text{otherwise} \end{cases} \\ A' & \equiv & \begin{cases} A & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \\ A^{**} & \text{otherwise} \end{cases} \\ z & \equiv & \begin{cases} 0 & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \\ 1 & \text{otherwise} \end{cases} \\ \hypertarget{code_execution_result}{} (\boldsymbol{\sigma}^{**}, g^{**}, A^{**}, \mathbf{o}) & \equiv & \Xi\\ I_{\mathrm{a}} & \equiv & r \\ I_{\mathrm{o}} & \equiv & o \\ I_{\mathrm{p}} & \equiv & p \\ I_{\mathbf{d}} & \equiv & \mathbf{d} \\ I_{\mathrm{s}} & \equiv & s \\ I_{\mathrm{v}} & \equiv & \tilde{v} \\ I_{\mathrm{e}} & \equiv & e \\ I_{\mathrm{w}} & \equiv & w\end{aligned}', rendering as TeX: \hypertarget{code_execution_result}{} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Xi \equiv \begin{cases} \Xi_{\mathtt{ECREC}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 1 \\ \Xi_{\mathtt{SHA256}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 2 \\ \Xi_{\mathtt{RIP160}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 3 \\ \Xi_{\mathtt{ID}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 4 \\ \Xi_{\mathtt{EXPMOD}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 5 \\ \Xi_{\mathtt{BN\_ADD}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 6 \\ \Xi_{\mathtt{BN\_MUL}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 7 \\ \Xi_{\mathtt{SNARKV}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 8 \\ \Xi_{\mathtt{BLAKE2\_F}}(\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 9 \\ \Xi (\boldsymbol{\sigma}_1, g, A, I) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi(\boldsymbol{\sigma}, g, A, I) & \equiv & (\boldsymbol{\sigma}'\!, \boldsymbol{\mu}'_{\mathrm{g}}, A', \mathbf{o}) \\ (\boldsymbol{\sigma}', \boldsymbol{\mu}'\!, A', ..., \mathbf{o}) & \equiv & X\big((\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\big) \\ \boldsymbol{\mu}_{\mathrm{g}} & \equiv & g \\ \boldsymbol{\mu}_{\mathrm{pc}} & \equiv & 0 \\ \boldsymbol{\mu}_{\mathbf{m}} & \equiv & (0, 0, ...) \\ \boldsymbol{\mu}_{\mathrm{i}} & \equiv & 0 \\ \boldsymbol{\mu}_{\mathbf{s}} & \equiv & () \\ \boldsymbol{\mu}_{\mathbf{o}} & \equiv & ()\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\label{eq:X-def} X\big( (\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \big) \equiv \begin{cases} \big(\varnothing, \boldsymbol{\mu}, A, I, \varnothing\big) & \text{if} \quad Z(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \\ \big(\varnothing, \boldsymbol{\mu}', A, I, \mathbf{o}\big) & \text{if} \quad w = \text{\small REVERT} \\ O(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \cdot \mathbf{o} & \text{if} \quad \mathbf{o} \neq \varnothing \\ X\big(O(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\big) & \text{otherwise} \\ \end{cases}', rendering as TeX: text{if} \quad w = \text{\small REVERT} ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} \mathbf{o} & \equiv & H(\boldsymbol{\mu}, I) \\ (a, b, c, d) \cdot e & \equiv & (a, b, c, d, e) \\ \boldsymbol{\mu}' & \equiv & \boldsymbol{\mu}\ \text{except:} \\ \boldsymbol{\mu}'_{\mathrm{g}} & \equiv & \boldsymbol{\mu}_{\mathrm{g}} - C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\label{eq:currentoperation} w \equiv \begin{cases} I_{\mathbf{b}}[\boldsymbol{\mu}_{\mathrm{pc}}] & \text{if} \quad \boldsymbol{\mu}_{\mathrm{pc}} < \lVert I_{\mathbf{b}} \rVert \\ \text{\hyperlink{stop}{\small STOP}} & \text{otherwise} \end{cases}', rendering as TeX: \text{\hyperlink{stop}{\small STOP}} & \ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'Z(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \equiv \begin{array}[t]{l} \boldsymbol{\mu}_g < C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \quad \vee \\ \mathbf{\delta}_w = \varnothing \quad \vee \\ \lVert\boldsymbol{\mu}_\mathbf{s}\rVert < \mathbf{\delta}_w \quad \vee \\ ( w = \text{\small JUMP} \; \wedge \; \boldsymbol{\mu}_\mathbf{s}[0] \notin D(I_\mathbf{b}) ) \quad \vee \\ ( w = \text{\small JUMPI} \; \wedge \; \boldsymbol{\mu}_\mathbf{s}[1] \neq 0 \; \wedge \\ \quad \boldsymbol{\mu}_\mathbf{s}[0] \notin D(I_\mathbf{b}) ) \quad \vee \\ ( w = \text{\small RETURNDATACOPY} \; \wedge \\ \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + \boldsymbol{\mu}_{\mathbf{s}}[2] > \lVert\boldsymbol{\mu}_{\mathbf{o}}\rVert) \quad \vee \\ \lVert\boldsymbol{\mu}_\mathbf{s}\rVert - \mathbf{\delta}_w + \mathbf{\alpha}_w > 1024 \quad \vee \\ ( \neg I_{\mathrm{w}} \; \wedge \; W(w, \boldsymbol{\mu}) ) \quad \vee \\ ( w = \text{\small SSTORE} \; \wedge \; \boldsymbol{\mu}_g \leqslant G_{\mathrm{callstipend}} ) \end{array}', rendering as TeX: \begin{array}[t]{l} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'W(w, \boldsymbol{\mu}) \equiv \\ \begin{array}[t]{l} w \in \{\text{\small CREATE}, \text{\small CREATE2}, \text{\small SSTORE},\\ \text{\small SELFDESTRUCT}\} \ \vee \\ \text{\small LOG0} \le w \; \wedge \; w \le \text{\small LOG4} \quad \vee \\ w = \text{\small CALL} \; \wedge \; \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \end{array}', rendering as TeX: \begin{array}[t]{l} ^ unexpected "\\" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{G__callstipend}{G_{\mathrm{callstipend}}}', rendering as TeX: \hyperlink{G__callstipend}{G_{\mathrm{ca ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'D_{\mathrm{J}}(\mathbf{c}, i) \equiv \begin{cases} \{\} & \text{if} \quad i \geqslant \lVert \mathbf{c} \rVert \\ \{ i \} \cup D_{\mathrm{J}}(\mathbf{c}, N(i, \mathbf{c}[i])) & \\ \quad\quad\text{if} \quad \mathbf{c}[i] = \text{\small JUMPDEST} \\ D_{\mathrm{J}}(\mathbf{c}, N(i, \mathbf{c}[i])) & \text{otherwise} \\ \end{cases}', rendering as TeX: thbf{c}[i] = \text{\small JUMPDEST} \\ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'N(i, w) \equiv \begin{cases} i + w - \text{\small PUSH1} + 2 & \\ \quad\quad\text{if} \quad w \in [\text{\small PUSH1}, \text{\small PUSH32}] \\ i + 1 & \text{otherwise} \end{cases}', rendering as TeX: i + w - \text{\small PUSH1} + 2 & \\ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'H(\boldsymbol{\mu}, I) \equiv \begin{cases} H_{\text{\tiny RETURN}}(\boldsymbol{\mu}) \ \text{if} \quad w \in \{\text{\small \hyperlink{RETURN}{RETURN}}, \text{\small REVERT}\} &\\ () \quad\quad\ \text{if} \quad w \in \{ \text{\small \hyperlink{stop}{STOP}}, \text{\small \hyperlink{selfdestruct}{SELFDESTRUCT}} \} &\\ \varnothing \quad\quad\ \text{otherwise}& \end{cases}', rendering as TeX: H_{\text{\tiny RETURN}}(\boldsymbol{\mu} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'H_{\text{\tiny RETURN}}', rendering as TeX: H_{\text{\tiny RETURN}} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\begin{aligned} O\big((\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\big) & \equiv & (\boldsymbol{\sigma}', \boldsymbol{\mu}', A', I) \\ \Delta & \equiv & \mathbf{\alpha}_{w} - \mathbf{\delta}_{w} \\ \lVert\boldsymbol{\mu}'_{\mathbf{s}}\rVert & \equiv & \lVert\boldsymbol{\mu}_{\mathbf{s}}\rVert + \Delta \\ \quad \forall x \in [\mathbf{\alpha}_{w}, \lVert\boldsymbol{\mu}'_{\mathbf{s}}\rVert): \boldsymbol{\mu}'_{\mathbf{s}}[x] & \equiv & \boldsymbol{\mu}_{\mathbf{s}}[x-\Delta]\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \quad \boldsymbol{\mu}'_{\mathrm{g}} & \equiv & \boldsymbol{\mu}_{\mathrm{g}} - C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \label{eq:mu_pc}\\ \quad \boldsymbol{\mu}'_{\mathrm{pc}} & \equiv & \begin{cases} \hyperlink{JUMP}{J_{\text{JUMP}}}(\boldsymbol{\mu}) & \text{if} \quad w = \text{\small JUMP} \\ \hyperlink{JUMPI}{J_{\text{JUMPI}}}(\boldsymbol{\mu}) & \text{if} \quad w = \text{\small JUMPI} \\ N(\boldsymbol{\mu}_{\mathrm{pc}}, w) & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX: rm{pc}} & \equiv & \begin{cases} ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\mu}'_{\mathbf{m}} & \equiv & \boldsymbol{\mu}_{\mathbf{m}} \\ \boldsymbol{\mu}'_{\mathrm{i}} & \equiv & \boldsymbol{\mu}_{\mathrm{i}} \\ A' & \equiv & A \\ \boldsymbol{\sigma}' & \equiv & \boldsymbol{\sigma}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} B_{\mathrm{t}} & \equiv & B'_{\mathrm{t}} + B_{\mathrm{d}} \\ B' & \equiv & P(B_{\mathrm{H}})\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\lVert B_{\mathbf{U}} \rVert \leqslant 2 \bigwedge_{\mathbf{U} \in B_{\mathbf{U}}} \hyperlink{block_header_validity_function}{V({\mathbf{U}}})\; \wedge \; k({\mathbf{U}}, P(\mathbf{B}_{\mathbf{H}})_{\mathbf{H}}, 6)', rendering as TeX: hbf{U}}} \hyperlink{block_header_validit ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'k(U, H, n) \equiv \begin{cases} \mathit{false} & \text{if} \quad n = 0 \\ s(U, H) &\\ \quad \vee \; k(U, P(H)_{\mathrm{H}}, n - 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\hyperlink{H__g}{B_{\mathrm{H}}}_{\mathrm{g}} = \hyperlink{ell}{\ell}(\hyperlink{R__u}{\mathbf{R})_{\mathrm{u}}}', rendering as TeX: \hyperlink{H__g}{B_{\mathrm{H}}}_{\mathr ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\frac{1}{32}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \\ \nonumber \Omega(B, \boldsymbol{\sigma}) & \equiv & \boldsymbol{\sigma}': \boldsymbol{\sigma}' = \boldsymbol{\sigma} \quad \text{except:} \\ \qquad\boldsymbol{\sigma}'[{\mathbf{B}_{\mathrm{H}}}_{\mathrm{c}}]_{\mathrm{b}} & = & \boldsymbol{\sigma}[{\mathbf{B}_{\mathrm{H}}}_{\mathrm{c}}]_{\mathrm{b}} + \left(1 + \frac{\lVert \mathbf{B}_{\mathbf{U}}\rVert}{32}\right)R_{\mathrm{block}} \\ \\ \nonumber \forall \mathbf{U} \in \mathbf{B}_{\mathbf{U}}: \\ \nonumber \boldsymbol{\sigma}'[\mathbf{U}_{\mathrm{c}}] & = & \begin{cases} \varnothing &\text{if}\ \boldsymbol{\sigma}[\mathbf{U}_{\mathrm{c}}] = \varnothing\ \wedge\ R = 0 \\ \mathbf{a}' &\text{otherwise} \end{cases} \\ \mathbf{a}' &\equiv& (\boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathrm{n}}, \boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathrm{b}} + R, \boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathbf{s}}, \boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathrm{c}}) \\ R & \equiv & \left(1 + \frac{1}{8} (U_{\mathrm{i}} - {B_{\mathrm{H}}}_{\mathrm{i}})\right) R_{\mathrm{block}}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math 'R_{\mathrm{block}} = 10^{18} \times \begin{cases} 5 &\text{if}\ H_{\mathrm{i}} < F_{\mathrm{Byzantium}} \\ 3 &\text{if}\ F_{\mathrm{Byzantium}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Constantinople}} \\ 2 &\text{if}\ H_{\mathrm{i}} \geqslant F_{\mathrm{Constantinople}} \\ \end{cases} \\', rendering as TeX: \end{cases} \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Gamma(B) \equiv \begin{cases} \boldsymbol{\sigma}_0 & \text{if} \quad P(B_{\mathrm{H}}) = \varnothing \\ \boldsymbol{\sigma}_{\mathrm{i}}: \mathtt{\hyperlink{trie}{TRIE}}(L_{\mathrm{S}}(\boldsymbol{\sigma}_{\mathrm{i}})) = {P(B_{\mathrm{H}})_{\mathrm{H}}}_{\mathrm{r}} & \text{otherwise} \end{cases}', rendering as TeX: \mathtt{\hyperlink{trie}{TRIE}}(L_{\mat ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Phi(B) & \equiv & B': \quad B' = B^* \quad \text{except:} \\ B'_{\mathrm{n}} & = & n: \quad x \leqslant \frac{2^{256}}{\hyperlink{H__d}{H_{\mathrm{d}}}} \\ B'_{\mathrm{m}} & = & m \quad \text{with } (x, m) = \mathtt{PoW}(B^*_{\hyperlink{H_cancel_n}{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }}, n, \mathbf{d}) \\ B^* & \equiv & B \quad \text{except:} \quad {\hyperlink{Transaction_Receipt}{B^*_{\mathrm{r}}}} = \hyperlink{r}{r}(\hyperlink{Pi}{\Pi}(\Gamma(B), B))\end{aligned}', rendering as TeX: \quad x \leqslant \frac{2^{256}}{\hyper ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{sigma_n}{}}{} \boldsymbol{\sigma}[n] = \begin{cases} \hyperlink{Gamma}{\Gamma}(B) & \text{if} \quad n < 0 \\ \hyperlink{Upsilon}{\Upsilon}(\boldsymbol{\sigma}[n - 1], B_{\mathbf{T}}[n]) & \text{otherwise} \end{cases}', rendering as TeX: \Hy@raisedlink{\hypertarget{sigma_n}{}}{ ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\mathbf{R}[n]_{\mathrm{u}} = \begin{cases} 0 & \text{if} \quad n < 0 \\ \begin{array}[b]{l} \Upsilon^g(\boldsymbol{\sigma}[n - 1], B_{\mathbf{T}}[n])\\ \quad + \mathbf{R}[n-1]_{\mathrm{u}} \end{array} & \text{otherwise} \end{cases}', rendering as TeX: \begin{array}[b]{l} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math '\hyperlink{Omega}{\Omega}', rendering as TeX: \hyperlink{Omega}{\Omega} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{ell}{\ell}(\boldsymbol{\sigma})', rendering as TeX: \hyperlink{ell}{\ell}(\boldsymbol{\sigma ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Pi(\boldsymbol{\sigma}, B) \equiv \hyperlink{Omega}{\Omega}(B, \ell(\boldsymbol{\sigma}))', rendering as TeX: ) \equiv \hyperlink{Omega}{\Omega}(B, \e ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'm = \hyperlink{H__m}{H_{\mathrm{m}}} \quad \wedge \quad n \leqslant \frac{2^{256}}{\hyperlink{H__d}{H_{\mathrm{d}}}} \quad \text{with} \quad (m, n) = \mathtt{PoW}(\hyperlink{H_cancel_n}{H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }}, H_{\mathrm{n}}, \mathbf{d})', rendering as TeX: m = \hyperlink{H__m}{H_{\mathrm{m}}} \qu ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }', rendering as TeX: H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\hyperlink{J__cacheinit}{J_{\mathrm{cacheinit}}}', rendering as TeX: \hyperlink{J__cacheinit}{J_{\mathrm{cach ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{J__datasetinit}{J_{\mathrm{datasetinit}}}', rendering as TeX: \hyperlink{J__datasetinit}{J_{\mathrm{da ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{J__epoch}{J_{\mathrm{epoch}}}', rendering as TeX: \hyperlink{J__epoch}{J_{\mathrm{epoch}}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \mathbb{T} & \equiv & \mathbb{L} \uplus \mathbb{B} \\ \mathbb{L} & \equiv & \{ \mathbf{t}: \mathbf{t} = ( \mathbf{t}[0], \mathbf{t}[1], ... ) \; \wedge \; \forall n < \lVert \mathbf{t} \rVert : \mathbf{t}[n] \in \mathbb{T} \} \\ \mathbb{B} & \equiv & \{ \mathbf{b}: \mathbf{b} = ( \mathbf{b}[0], \mathbf{b}[1], ... ) \; \wedge \; \forall n < \lVert \mathbf{b} \rVert : \mathbf{b}[n] \in \mathbb{O} \}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\mathtt{RLP}(\mathbf{x}) \equiv \begin{cases} R_{\mathrm{b}}(\mathbf{x}) & \text{if} \quad \mathbf{x} \in \mathbb{B} \\ R_{\mathrm{l}}(\mathbf{x}) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} R_{\mathrm{b}}(\mathbf{x}) & \equiv & \begin{cases} \mathbf{x} & \text{if} \quad \lVert \mathbf{x} \rVert = 1 \wedge \mathbf{x}[0] < 128 \\ (128 + \lVert \mathbf{x} \rVert) \cdot \mathbf{x} & \text{else if} \quad \lVert \mathbf{x} \rVert < 56 \\ \big(183 + \big\lVert \mathtt{BE}(\lVert \mathbf{x} \rVert) \big\rVert \big) \cdot \mathtt{BE}(\lVert \mathbf{x} \rVert) \cdot \mathbf{x} & \text{else if} \quad \lVert \mathbf{x} \rVert < 2^{64} \\ \varnothing & \text{otherwise} \end{cases} \\ \label{eq:BE} \mathtt{BE}(x) & \equiv & (b_0, b_1, ...): b_0 \neq 0 \wedge x = \sum_{n = 0}^{\lVert \mathbf{b} \rVert - 1} b_n \cdot 256^{\lVert \mathbf{b} \rVert - 1 - n} \\ (x_1, ..., x_n) \cdot (y_1, ..., y_m) & = & (x_1, ..., x_n, y_1, ..., y_m)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} R_{\mathrm{l}}(\mathbf{x}) & \equiv & \begin{cases} (192 + \lVert s(\mathbf{x}) \rVert) \cdot s(\mathbf{x}) & \text{if} \quad s(\mathbf{x}) \neq \varnothing \wedge \lVert s(\mathbf{x}) \rVert < 56 \\ \big(247 + \big\lVert \mathtt{BE}(\lVert s(\mathbf{x}) \rVert) \big\rVert \big) \cdot \mathtt{BE}(\lVert s(\mathbf{x}) \rVert) \cdot s(\mathbf{x}) & \text{else if} \quad s(\mathbf{x}) \neq \varnothing \wedge \lVert s(\mathbf{x}) \rVert < 2^{64} \\ \varnothing & \text{otherwise} \end{cases} \\ s(\mathbf{x}) & \equiv & \begin{cases} \mathtt{RLP}(\mathbf{x}[0]) \cdot \mathtt{RLP}(\mathbf{x}[1]) \cdot ... & \text{if} \quad \forall i: \mathtt{RLP}(\mathbf{x}[i]) \neq \varnothing \\ \varnothing & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{HP}(\mathbf{x}, t): \mathbf{x} \in \mathbb{Y} & \equiv & \begin{cases} (16f(t), 16\mathbf{x}[0] + \mathbf{x}[1], 16\mathbf{x}[2] + \mathbf{x}[3], ...) & \text{if} \quad \lVert \mathbf{x} \rVert \; \text{is even} \\ (16(f(t) + 1) + \mathbf{x}[0], 16\mathbf{x}[1] + \mathbf{x}[2], 16\mathbf{x}[3] + \mathbf{x}[4], ...) & \text{otherwise} \end{cases} \\ f(t) & \equiv & \begin{cases} 2 & \text{if} \quad t \neq 0 \\ 0 & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} y(\mathfrak{I}) & = & \{ (\mathbf{k}_0' \in \hyperlink{set_of_sequence_of_nibbles}{\mathbb{Y}}, \mathbf{v}_0 \in \mathbb{B}), (\mathbf{k}_1' \in \mathbb{Y}, \mathbf{v}_1 \in \mathbb{B}), ... \} \\ \forall n: \quad \forall i < 2\lVert\mathbf{k}_{n}\rVert: \quad \mathbf{k}_{n}'[i] & \equiv & \begin{cases} \lfloor \mathbf{k}_{n}[i \div 2] \div 16 \rfloor & \text{if} \; i \; \text{is even} \\ \mathbf{k}_{n}[\lfloor i \div 2 \rfloor] \bmod 16 & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX: (\mathbf{k}_0' \in \hyperlink{set_of_seq ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math 'n(\mathfrak{I}, i) \equiv \begin{cases} () \in \mathbb{B} & \text{if} \quad \mathfrak{I} = \varnothing \\ c(\mathfrak{I}, i) & \text{if} \quad \lVert \, \texttt{RLP} \big( c(\mathfrak{I}, i) \big) \rVert < 32 \\ \texttt{KEC}\big(\texttt{RLP}( c(\mathfrak{I}, i)) \big) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'c(\mathfrak{I}, i) \equiv \begin{cases} \big(\texttt{HP}(I_0[i .. (\lVert I_0\rVert - 1)], 1), I_1 \big) & \text{if} \quad \lVert \mathfrak{I} \rVert = 1 \quad \text{where} \; \exists I: I \in \mathfrak{I} \\ \big(\texttt{HP}(I_0[i .. (j - 1)], 0), n(\mathfrak{I}, j) \big) & \text{if} \quad i \ne j \quad \text{where} \; j = \max \{ x : \exists \mathbf{l}: \lVert \mathbf{l} \rVert = x \wedge \forall I \in \mathfrak{I}: I_0[0 .. (x - 1)] = \mathbf{l} \} \\ (u(0), u(1), ..., u(15), v) & \text{otherwise} \quad \text{where} \begin{array}[t]{rcl} u(j) & \equiv & n(\{ I : I \in \mathfrak{I} \wedge I_0[i] = j \}, i + 1) \\ v & = & \begin{cases} I_1 & \text{if} \quad \exists I: I \in \mathfrak{I} \wedge \lVert I_0 \rVert = i \\ () \in \mathbb{B} & \text{otherwise} \end{cases} \end{array} \end{cases}', rendering as TeX: \quad \text{where} \begin{array}[t]{rcl} ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\label{eq:pre} \Xi_{\mathtt{PRE}}(\boldsymbol{\sigma}, g, A, I) \equiv \begin{cases} (\varnothing, 0, A, ()) & \text{if} \quad g < g_{\mathrm{r}} \\ (\boldsymbol\sigma, g - g_{\mathrm{r}}, A, \mathbf{o}) & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{ECREC}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 3000\\ \lVert \mathbf{o} \rVert &=& \begin{cases} \label{eq:ecrec_precompile_validity} 0 & \text{if} \quad v \notin \{27, 28\} \,\vee\, r = 0 \,\vee\, r \ge \mathtt{secp256k1n} \,\vee\, s = 0 \,\vee\, s \ge \mathtt{secp256k1n} \\ 0 & \text{if} \quad \mathtt{ECDSARECOVER}(h, v - 27, r, s) = \varnothing\\ 32 & \text{otherwise} \end{cases}\\ \text{if} \quad \lVert \mathbf{o} \rVert = 32: &&\\ \mathbf{o}[0..11] &=& 0 \\ \mathbf{o}[12..31] &=& \mathtt{KEC}\big(\mathtt{ECDSARECOVER}(h, v - 27, r, s)\big)[12..31] \quad \text{where:}\\ \mathbf{d}[0..(\lVert \hyperlink{I__d}{I_{\mathbf{d}}} \rVert-1)] &=& I_{\mathbf{d}}\\ \mathbf{d}[\lVert I_{\mathbf{d}} \rVert..] &=& (0, 0, ...) \\ h &=& \mathbf{d}[0..31]\\ v &=& \mathbf{d}[32..63]\\ r &=& \mathbf{d}[64..95]\\ s &=& \mathbf{d}[96..127]\end{aligned}', rendering as TeX: .(\lVert \hyperlink{I__d}{I_{\mathbf{d}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{SHA256}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 60 + 12\Big\lceil \dfrac{\lVert I_{\mathbf{d}} \rVert}{32} \Big\rceil\\ \mathbf{o}[0..31] &=& \mathtt{SHA256}(I_{\mathbf{d}})\\ \Xi_{\mathtt{RIP160}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 600 + 120\Big\lceil \dfrac{\lVert I_{\mathbf{d}} \rVert}{32} \Big\rceil\\ \mathbf{o}[0..11] &=& 0 \\ \mathbf{o}[12..31] &=& \mathtt{RIPEMD160}(I_{\mathbf{d}})\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{SHA256}(\mathbf{i} \in \mathbb{B}) & \equiv & o \in \mathbb{B}_{32} \\ \mathtt{RIPEMD160}(\mathbf{i} \in \mathbb{B}) & \equiv & o \in \mathbb{B}_{20}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{ID}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 15 + 3\Big\lceil \dfrac{\lVert I_{\mathbf{d}} \rVert}{32} \Big\rceil\\ \mathbf{o} &=& I_{\mathbf{d}}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{EXPMOD}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{except:} \\ g_{\mathrm{r}} &=& \max \left(200, \left\lfloor\frac{f\big(\max(\ell_{\mathrm{M}},\ell_{\mathrm{B}})\big)\max(\ell'_{\mathrm{E}},1)}{G_{\mathrm{quaddivisor}}}\right\rfloor \right) \\ G_{\mathrm{quaddivisor}} &\equiv& 3 \\ f(x) &\equiv& \left\lceil \frac{x}{8} \right\rceil ^2 \\ \ell'_{\mathrm{E}} &=& \begin{cases} 0 & \text{if}\ \ell_{\mathrm{E}}\le 32\wedge E=0 \\ \lfloor \log_2(E)\rfloor &\text{if}\ \ell_{\mathrm{E}}\le 32 \wedge E \neq 0 \\ 8(\ell_{\mathrm{E}} - 32) + \lfloor \log_2(i[(96+\ell_{\mathrm{B}})..(127+\ell_{\mathrm{B}})]) \rfloor & \text{if}\ 32 < \ell_{\mathrm{E}} \wedge i[(96 + \ell_{\mathrm{B}})..(127 + \ell_{\mathrm{B}})]\neq 0 \\ 8(\ell_{\mathrm{E}} - 32) & \text{otherwise} \\ \end{cases} \\ \mathbf{o} &=& \left(B^E\bmod M\right)\in\mathbb{N}_{8\ell_{\mathrm{M}}} \\ \ell_{\mathrm{B}} &\equiv& i[0..31] \\ \ell_{\mathrm{E}} &\equiv& i[32..63] \\ \ell_{\mathrm{M}} &\equiv& i[64..95] \\ B &\equiv& i[96..(95+\ell_{\mathrm{B}})] \\ E &\equiv& i[(96+\ell_{\mathrm{B}})..(95+\ell_{\mathrm{B}}+\ell_{\mathrm{E}})] \\ M &\equiv& i[(96+\ell_{\mathrm{B}}+\ell_{\mathrm{E}})..(95+\ell_{\mathrm{B}}+\ell_{\mathrm{E}}+\ell_{\mathrm{M}})] \\ i[x] &\equiv& \begin{cases} I_{\mathbf{d}}[x] &\text{if}\ x < \lVert I_{\mathbf{d}} \rVert \\ 0 &\text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} p &\equiv& 21888242871839275222246405745257275088696311157297823662689037894645226208583 \\ q &\equiv& 21888242871839275222246405745257275088548364400416034343698204186575808495617\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \label{eq:ec-addition} (X_1, Y_1) + (X_2, Y_2)&\equiv&\begin{cases} (X,Y)&\text{if}\ X_1\neq X_2\\ (0,0)&\text{otherwise} \end{cases}\\ \nonumber \lambda&\equiv&\frac{Y_2-Y_1}{X_2-X_1}\\ \nonumber X&\equiv&\lambda^2-X_1-X_2\\ \nonumber Y&\equiv&\lambda(X_1-X)-Y_1\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \label{eq:ec-doubling} (X_1, Y_1) + (X_2, Y_2)&\equiv&\begin{cases} (X,Y)&\text{if}\ Y_1\neq 0\\ (0,0)&\text{otherwise} \end{cases}\\ \nonumber \lambda&\equiv&\frac{3X_1^2}{2Y_1}\\ \nonumber X&\equiv&\lambda^2-2X_1\\ \nonumber Y&\equiv&\lambda(X_1-X)-Y_1\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\label{eq:ec-scalar-multiplication} n\cdot P\equiv(0,0)+\underbrace{P+\cdots+P}_{n}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} P_2&\equiv& (11559732032986387107991004021392285783925812861821192530917403151452391805634 \times i\\\nonumber &&+ 10857046999023057135944570762232829481370756359578518086990519993285655852781,\\\nonumber && 4082367875863433681332203403145435568316851327593401208105741076214120093531 \times i\\\nonumber &&+ 8495653923123431417604973247489272438418190587263600148770280649306958101930)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \label{eq:pairing-check} \log_{P_1}(a_1)\times\log_{P_2}(b_1)+\cdots+\log_{P_1}(a_{k})\times\log_{P_2}(b_{k})&\equiv& 1\mod q\\ \prod_{i=0}^{k}e\left(a_i, b_i\right) &=& P_T\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\delta_{\mathrm{p}}(\mathbf{x})\equiv\begin{cases} \mathbf{x}&\text{if}\ \mathbf{x}<p\\ \varnothing&\text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \delta_1(\mathbf{x})&\equiv&\begin{cases} g_1&\text{if}\ g_1\in G_1\\ \varnothing&\text{otherwise} \end{cases}\\ g_1&\equiv&\begin{cases} (x,y)&\text{if}\ x\neq\varnothing\wedge y\neq\varnothing\\ \varnothing&\text{otherwise} \end{cases}\\ x&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[0..31])\\ y&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[32..63])\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \delta_2(\mathbf{x})&\equiv&\begin{cases} g_2&\text{if}\ g_2\in G_2\\ \varnothing&\text{otherwise} \end{cases}\\ g_2&\equiv&\begin{cases} ((x_0i+y_0),(x_1i+y_1))&\text{if}\ x_0\neq\varnothing\wedge y_0\neq\varnothing\wedge x_1\neq\varnothing\wedge y_1\neq\varnothing\\ \varnothing&\text{otherwise} \end{cases}\\ x_0&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[0..31])\\ y_0&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[32..63])\\ x_1&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[64..95])\\ y_1&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[96..127])\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{SNARKV}}&\equiv&\Xi_{\mathtt{PRE}}\quad\text{except:}\\ \qquad\Xi_{\mathtt{SNARKV}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ F\\ F&\equiv&(\lVert I_{\mathbf{d}} \rVert\bmod 192\neq 0\vee(\exists j.\ a_{\mathrm{j}}=\varnothing\vee b_{\mathrm{j}}=\varnothing))\\ k &=& \dfrac{\lVert I_{\mathbf{d}} \rVert}{192} \\ g_{\mathrm{r}}&=& 34000k + 45000 \\ \mathbf{o}[0..31]&\equiv&\begin{cases} 0x0000000000000000000000000000000000000000000000000000000000000001&\text{if}\ v\wedge\neg F\\ 0x0000000000000000000000000000000000000000000000000000000000000000&\text{if}\ \neg v\wedge\neg F \end{cases}\\ v&\equiv&(\log_{P_1}(a_1)\times\log_{P_2}(b_1)+\cdots+\log_{P_1}(a_k)\times\log_{P_2}(b_k)\equiv 1\mod q)\\ a_1&\equiv&\delta_1(I_{\mathbf{d}}[0..63])\\ b_1&\equiv&\delta_2(I_{\mathbf{d}}[64..191])\\\nonumber \vdots\\ a_k&\equiv&\delta_1(I_{\mathbf{d}}[(\lVert I_{\mathbf{d}} \rVert-192)..(\lVert I_{\mathbf{d}} \rVert-129)])\\ b_k&\equiv&\delta_2(I_{\mathbf{d}}[(\lVert I_{\mathbf{d}} \rVert-128)..(\lVert I_{\mathbf{d}} \rVert-1)])\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{BN\_ADD}}&\equiv&\Xi_{\mathtt{BN\_PRE}}\quad\text{except:}\\ \Xi_{\mathtt{BN\_ADD}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ x=\varnothing\vee y=\varnothing\\ g_{\mathrm{r}} &=& 150\\ \mathbf{o}&\equiv&\delta_1^{-1}(x+y)\quad\text{where $+$ is the group operation in $G_1$}\\ x&\equiv&\delta_1\left(\bar I_{\mathbf{d}}[0..63]\right)\\ y&\equiv&\delta_1\left(\bar I_{\mathbf{d}}[64..127]\right)\\ \label{eq:complemented_input}\bar I_{\mathbf{d}}[x]&\equiv&\begin{cases} I_{\mathbf{d}}[x]&\text{if}\ x < \lVert I_{\mathbf{d}} \rVert\\ 0&\text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{BN\_MUL}}&\equiv&\Xi_{\mathtt{PRE}}\quad\text{except:}\\ \Xi_{\mathtt{BN\_MUL}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ x=\varnothing\\ g_{\mathrm{r}} &=& 6000\\ \mathbf{o}&\equiv&\delta_1^{-1}(n\cdot x)\quad\text{where $\cdot$ is the scalar multiplication in $G_1$}\\ x&\equiv&\delta_1\left(\bar I_{\mathbf{d}}[0..63]\right)\\ n&\equiv&\bar I_{\mathbf{d}}[64..95]\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{BLAKE2\_F}}&\equiv&\Xi_{\mathtt{PRE}}\quad\text{except:}\\ \Xi_{\mathtt{BLAKE2\_F}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ \lVert I_{\mathbf{d}}\rVert \neq 213 \vee f \notin \{0, 1\} \\ g_{\mathrm{r}} &=& r\\ \mathbf{o} &\equiv& \mathtt{LE}_8(h'_0)\cdot ... \cdot \mathtt{LE}_8(h'_7) \\ (h'_0,\dots,h'_7) &\equiv& \mathtt{F}(h, m, t_\mathrm{low}, t_\mathrm{high}, f) \quad\text{with } r \text{ rounds and } w = 64 \\ \mathtt{BE}_4(r) &\equiv& I_{\mathbf{d}}[0..4] \\ \mathtt{LE}_8(h_0) &\equiv& I_{\mathbf{d}}[4..12] \\ &\dots& \\ \mathtt{LE}_8(h_7) &\equiv& I_{\mathbf{d}}[60..68] \\ \mathtt{LE}_8(m_0) &\equiv& I_{\mathbf{d}}[68..76] \\ &\dots& \\ \mathtt{LE}_8(m_{15}) &\equiv& I_{\mathbf{d}}[188..196] \\ \mathtt{LE}_8(t_\mathrm{low}) &\equiv& I_{\mathbf{d}}[196..204] \\ \mathtt{LE}_8(t_\mathrm{high}) &\equiv& I_{\mathbf{d}}[204..212] \\ f &\equiv& I_{\mathbf{d}}[212]\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\mathtt{BE}_k(x) \equiv (b_0, b_1, ..., b_{k-1}): x = \sum_{n = 0}^{k-1} b_n \cdot 256^{k-1-n}', rendering as TeX [WARNING] Could not convert TeX math '\mathtt{LE}_k(x) \equiv (b_0, b_1, ..., b_{k-1}): x = \sum_{n = 0}^{k-1} b_n \cdot 256^n', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{ECDSAPUBKEY}(p_{\mathrm{r}} \in \mathbb{B}_{32}) & \equiv & p_{\mathrm{u}} \in \mathbb{B}_{64} \\ \Hy@raisedlink{\hypertarget{ECDSASIGN}{}}\mathtt{ECDSASIGN}(e \in \mathbb{B}_{32}, p_{\mathrm{r}} \in \mathbb{B}_{32}) & \equiv & (v \in \mathbb{B}_{1}, r \in \mathbb{B}_{32}, s \in \mathbb{B}_{32}) \\ \mathtt{ECDSARECOVER}(e \in \mathbb{B}_{32}, v \in \mathbb{B}_{1}, r \in \mathbb{B}_{32}, s \in \mathbb{B}_{32}) & \equiv & p_{\mathrm{u}} \in \mathbb{B}_{64}\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{ECDSASIGN}{} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} 0 < \Hy@raisedlink{\hypertarget{r}{}}{r} &< \mathtt{secp256k1n} \\ 0 < \Hy@raisedlink{\hypertarget{s}{}}{s} &< \mathtt{secp256k1n} \div 2 + 1 \\ \hyperlink{v}{v} &\in \{0,1\}\end{aligned}', rendering as TeX: 0 < \Hy@raisedlink{\hypertarget{r}{}}{r} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{secp256k1n} &= 115792089237316195423570985008687907852837564279074904382605163141518161494337 %\mathtt{secp256k1p} &= 2^{256} - 2^{32} - 977\\\end{aligned}', rendering as TeX: 977\\\end{aligned} ^ unexpected eof expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} L_{\mathrm{X}}(T) & \equiv & \begin{cases} (T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}) & \text{if} \; T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{27, 28\} \\ (T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, \beta, (), ()) & \text{if} \; T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{2\beta + 35, 2\beta + 36\} \\ (T_{\mathrm{c}}, T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, T_{\mathbf{A}}) & \text{if} \; T_{\mathrm{x}} = 1 \end{cases} \\ \nonumber \text{where} \\ \nonumber \mathbf{p} & \equiv & \begin{cases} T_{\mathbf{i}} & \text{if}\ T_{\mathrm{t}} = \varnothing \\ T_{\mathbf{d}} & \text{otherwise} \end{cases} \\ h(T) & \equiv & \begin{cases} \mathtt{KEC}( \mathtt{RLP}(L_{\mathrm{X}}(T)) ) & \text{if} \; T_{\mathrm{x}} = 0 \\ \mathtt{KEC}( T_{\mathrm{x}} \cdot \mathtt{RLP}(L_{\mathrm{X}}(T)) ) & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} G(T, p_{\mathrm{r}}) \equiv T \quad \text{except:} \\ (T_{\mathrm{y}}, T_{\mathrm{r}}, T_{\mathrm{s}}) = \mathtt{ECDSASIGN}(h(T), p_{\mathrm{r}})\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Hy@raisedlink{\hypertarget{T__r}{}}{T_{\mathrm{r}}} = \hyperlink{r}{r}\\ \Hy@raisedlink{\hypertarget{T__s}{}}{T_{\mathrm{s}}} = \hyperlink{s}{s}\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{T__r}{}}{T_{ ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{T__w}{T_{\mathrm{w}}}', rendering as TeX: \hyperlink{T__w}{T_{\mathrm{w}}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '2\hyperlink{chain_id}{\beta} + 35 + T_{\mathrm{y}}', rendering as TeX: 2\hyperlink{chain_id}{\beta} + 35 + T_{\ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} S(T) &\equiv& \mathcal{B}_{96..255}\big(\mathtt{KEC}\big( \mathtt{ECDSARECOVER}(h(T), v, T_{\mathrm{r}}, T_{\mathrm{s}}) \big) \big) \\ v &\equiv& \begin{cases} T_{\mathrm{w}} - 27 & \text{if} \; T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{27, 28\} \\ (T_{\mathrm{w}}-35) \bmod 2 & \text{if} \ T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{2\beta + 35, 2\beta + 36\} \\ T_{\mathrm{y}} & \text{if} \ T_{\mathrm{x}} = 1 \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math 'C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \equiv C_{\mathrm{mem}}(\boldsymbol{\mu}'_{\mathrm{i}})-C_{\mathrm{mem}}(\boldsymbol{\mu}_{\mathrm{i}}) + \begin{cases} C_\text{\tiny SSTORE}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) & \text{if} \quad w = \text{\small SSTORE} \\ G_{\mathrm{exp}} & \text{if} \quad w = \text{\small EXP} \wedge \boldsymbol{\mu}_{\mathbf{s}}[1] = 0 \\ G_{\mathrm{exp}} + G_{\mathrm{expbyte}}\times(1+\lfloor\log_{256}(\boldsymbol{\mu}_{\mathbf{s}}[1])\rfloor) & \text{if} \quad w = \text{\small EXP} \wedge \boldsymbol{\mu}_{\mathbf{s}}[1] > 0 \\ G_{\mathrm{verylow}} + G_{\mathrm{copy}}\times\lceil\boldsymbol{\mu}_{\mathbf{s}}[2] \div 32\rceil & \text{if} \quad w \in W_{\mathrm{copy}} \\ C_{\mathrm{aaccess}}(\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}, A) + G_{\mathrm{copy}}\times\lceil\boldsymbol{\mu}_{\mathbf{s}}[3] \div 32\rceil & \text{if} \quad w = \text{\small EXTCODECOPY} \\ C_{\mathrm{aaccess}}(\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}, A) & \text{if} \quad w \in W_{\mathrm{extaccount}}\\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1] & \text{if} \quad w = \text{\small LOG0} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG1} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+2G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG2} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+3G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG3} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+4G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG4} \\ C_\text{\tiny CALL}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) & \text{if} \quad w \in W_{\mathrm{call}} \\ C_\text{\tiny SELFDESTRUCT}(\boldsymbol{\sigma}, \boldsymbol{\mu}) & \text{if} \quad w = \text{\small SELFDESTRUCT} \\ G_{\mathrm{create}} & \text{if} \quad w = \text{\small CREATE}\\ G_{\mathrm{create}}+G_{\mathrm{keccak256word}} \times \lceil \boldsymbol{\mu}_{\mathbf{s}}[2] \div 32 \rceil & \text{if} \quad w = \text{\small \hyperlink{create2}{CREATE2}}\\ G_{\mathrm{keccak256}}+G_{\mathrm{keccak256word}} \times \lceil \boldsymbol{\mu}_{\mathbf{s}}[1] \div 32 \rceil & \text{if} \quad w = \text{\small KECCAK256}\\ G_{\mathrm{jumpdest}} & \text{if} \quad w = \text{\small JUMPDEST}\\ C_\text{\tiny SLOAD}(\boldsymbol{\mu}, A, I) & \text{if} \quad w = \text{\small SLOAD}\\ G_{\mathrm{zero}} & \text{if} \quad w \in W_{\mathrm{zero}}\\ G_{\mathrm{base}} & \text{if} \quad w \in W_{\mathrm{base}}\\ G_{\mathrm{verylow}} & \text{if} \quad w \in W_{\mathrm{verylow}}\\ G_{\mathrm{low}} & \text{if} \quad w \in W_{\mathrm{low}}\\ G_{\mathrm{mid}} & \text{if} \quad w \in W_{\mathrm{mid}}\\ G_{\mathrm{high}} & \text{if} \quad w \in W_{\mathrm{high}}\\ G_{\mathrm{blockhash}} & \text{if} \quad w = \text{\small \hyperlink{blockhash}{BLOCKHASH}}\\ \end{cases}', rendering as TeX: C_\text{\tiny SSTORE}(\boldsymbol{\sigma ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'w \equiv \begin{cases} I_{\mathbf{b}}[\boldsymbol{\mu}_{\mathrm{pc}}] & \text{if} \quad \boldsymbol{\mu}_{\mathrm{pc}} < \lVert I_{\mathbf{b}} \rVert\\ \text{\small STOP} & \text{otherwise} \end{cases}', rendering as TeX: \text{\small STOP} & \text{otherwise} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\mathrm{mem}}(a) \equiv G_{\mathrm{memory}} \cdot a + \left\lfloor \dfrac{a^2}{512} \right\rfloor', rendering as TeX [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{C_aaccess}{}}{}C_{\mathrm{aaccess}}(x, A) \equiv \begin{cases} G_{\mathrm{warmaccess}} & \text{if} \quad x \in \hyperlink{accessed_addresses_defn_words_A__a}{A_{\mathbf{a}}}\\ G_{\mathrm{coldaccountaccess}} & \text{otherwise} \end{cases}', rendering as TeX: \Hy@raisedlink{\hypertarget{C_aaccess}{} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'C_\text{\tiny CALL}', rendering as TeX: C_\text{\tiny CALL} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_\text{\tiny SELFDESTRUCT}', rendering as TeX: C_\text{\tiny SELFDESTRUCT} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_\text{\tiny SLOAD}', rendering as TeX: C_\text{\tiny SLOAD} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_\text{\tiny SSTORE}', rendering as TeX: C_\text{\tiny SSTORE} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'M(s, f, l) \equiv \begin{cases} s & \text{if} \quad l = 0 \\ \max(s, \ceil{ (f + l) \div 32 }) & \text{otherwise} \end{cases}', rendering as TeX: \max(s, \ceil{ (f + l) \div 32 }) & \tex ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{L_but_64}{}}{} L(n) \equiv n - \lfloor n / 64 \rfloor', rendering as TeX: \Hy@raisedlink{\hypertarget{L_but_64}{}} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ \lfloor\boldsymbol{\mu}_{\mathbf{s}}[0] \div \boldsymbol{\mu}_{\mathbf{s}}[1]\rfloor & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ -2^{255} & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] = -2^{255} \wedge \, \boldsymbol{\mu}_{\mathbf{s}}[1] = -1\\ \mathbf{sgn} (\boldsymbol{\mu}_{\mathbf{s}}[0] \div \boldsymbol{\mu}_{\mathbf{s}}[1]) \lfloor |\boldsymbol{\mu}_{\mathbf{s}}[0] \div \boldsymbol{\mu}_{\mathbf{s}}[1]| \rfloor & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ \boldsymbol{\mu}_{\mathbf{s}}[0] \bmod \boldsymbol{\mu}_{\mathbf{s}}[1] & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ \mathbf{sgn} (\boldsymbol{\mu}_{\mathbf{s}}[0]) (|\boldsymbol{\mu}_{\mathbf{s}}[0]| \bmod |\boldsymbol{\mu}_{\mathbf{s}}[1]|) & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] = 0\\ (\boldsymbol{\mu}_{\mathbf{s}}[0] + \boldsymbol{\mu}_{\mathbf{s}}[1]) \bmod \boldsymbol{\mu}_{\mathbf{s}}[2] & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] = 0\\ (\boldsymbol{\mu}_{\mathbf{s}}[0] \times \boldsymbol{\mu}_{\mathbf{s}}[1]) \bmod \boldsymbol{\mu}_{\mathbf{s}}[2] & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in [0..255]: \boldsymbol{\mu}'_{\mathbf{s}}[0]_{\mathrm{i}} \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{s}}[1]_{\mathrm{t}} &\text{if} \quad i \leqslant t \quad \text{where} \; t = 256 - 8(\boldsymbol{\mu}_{\mathbf{s}}[0] + 1) \\ \boldsymbol{\mu}_{\mathbf{s}}[1]_{\mathrm{i}} &\text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] < \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] > \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] < \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] > \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] = \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] = 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in [0..255]: \boldsymbol{\mu}'_{\mathbf{s}}[0]_{\mathrm{i}} \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0]_{\mathrm{i}} = 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in [0..255]: \boldsymbol{\mu}'_{\mathbf{s}}[0]_{\mathrm{i}} \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{s}}[1]_{(i - 248 + 8\boldsymbol{\mu}_{\mathbf{s}}[0])} & \text{if} \quad i \geq 248 \wedge \boldsymbol{\mu}_{\mathbf{s}}[0] < 32 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}\boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}]_{\mathrm{b}}& \text{if} \quad \boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}] \neq \varnothing\\0&\text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[2] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[0] + i ] \equiv \begin{cases} I_{\mathbf{d}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + i < \lVert I_{\mathbf{d}} \rVert \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[2] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[0] + i ] \equiv \begin{cases} I_{\mathbf{b}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + i < \lVert I_{\mathbf{b}} \rVert \\ \text{\small STOP} & \text{otherwise} \end{cases}', rendering as TeX: }} \rVert \\ \text{\small STOP} & \text{ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} \lVert \mathbf{b} \rVert & \text{if} \quad \boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}] \neq \varnothing \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[3] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i ] \equiv \begin{cases} \mathbf{b}[\boldsymbol{\mu}_{\mathbf{s}}[2] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] + i < \lVert \mathbf{b} \rVert \\ \text{\small STOP} & \text{otherwise} \end{cases}', rendering as TeX: b} \rVert \\ \text{\small STOP} & \text{ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[2] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[0] + i ] \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{o}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + i < \lVert \boldsymbol{\mu}_{\mathbf{o}} \rVert \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 0 & \text{if} \quad \mathtt{DEAD}(\boldsymbol{\sigma}, \boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}) \\ \boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}]_{\mathrm{c}} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'P(h, n, a) \equiv \begin{cases} 0 & \text{if} \quad n > H_{\mathrm{i}} \vee a = 256 \vee h = 0 \\ h & \text{if} \quad n = H_{\mathrm{i}} \\ P(H_{\mathrm{p}}, n, a + 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{i}} \equiv \max(\boldsymbol{\mu}_{\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{\mathbf{s}}[0] + 32) \div 32 })', rendering as TeX: {\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{i}} \equiv \max(\boldsymbol{\mu}_{\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{\mathbf{s}}[0] + 32) \div 32 })', rendering as TeX: {\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{i}} \equiv \max(\boldsymbol{\mu}_{\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{\mathbf{s}}[0] + 1) \div 32 })', rendering as TeX: {\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'C_{\text{\tiny SLOAD}}(\boldsymbol{\mu}, A, I) \equiv \begin{cases} G_{\mathrm{warmaccess}} & \text{if} \quad (I_{\mathrm{a}}, \boldsymbol{\mu}_{\mathbf{s}}[0]) \in A_{\mathbf{K}} \\ G_{\mathrm{coldsload}} & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny SLOAD}}(\boldsymbol{\mu}, ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny SSTORE}}(\boldsymbol{\sigma}, \boldsymbol{\mu})', rendering as TeX: C_{\text{\tiny SSTORE}}(\boldsymbol{\sig ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\hyperlink{sigma_0}{\boldsymbol{\sigma}_0}', rendering as TeX: \hyperlink{sigma_0}{\boldsymbol{\sigma}_ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\!\begin{aligned} C_{\text{\tiny SSTORE}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) &\equiv \begin{cases} 0 & \text{if} \quad (I_{\mathrm{a}}, \boldsymbol{\mu}_{\mathbf{s}}[0]) \in A_{\mathbf{K}} \\ G_{\mathrm{coldsload}} & \text{otherwise} \\ \end{cases} \\ &+ \begin{cases} G_{\mathrm{warmaccess}} & \text{if} \quad v = v' \; \vee \; v_0 \neq v \\ G_{\mathrm{sset}} & \text{if} \quad v \neq v' \; \wedge \; v_0 = v \; \wedge \; v_0 = 0 \\ G_{\mathrm{sreset}} & \text{if} \quad v \neq v' \; \wedge \; v_0 = v \; \wedge \; v_0 \neq 0 \\ \end{cases} \end{aligned}', rendering as TeX: C_{\text{\tiny SSTORE}}(\boldsymbol{\sig ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'A'_{\mathrm{r}} \equiv A_{\mathrm{r}} + \begin{cases} R_{\mathrm{sclear}} & \text{if} \quad v \neq v' \; \wedge \; v_0 = v \; \wedge \; v' = 0 \\ r_{\text{dirtyclear}} + r_{\text{dirtyreset}} & \text{if} \quad v \neq v' \; \wedge \; v_0 \neq v \\ 0 & \text{otherwise} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'r_{\text{dirtyclear}} \equiv \begin{cases} -R_{\mathrm{sclear}} & \text{if} \quad v_0 \neq 0 \; \wedge \; v = 0 \\ R_{\mathrm{sclear}} & \text{if} \quad v_0 \neq 0 \; \wedge \; v' = 0 \\ 0 & \text{otherwise} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'r_{\text{dirtyreset}} \equiv \begin{cases} G_{\mathrm{sset}} - G_{\mathrm{warmaccess}} & \text{if} \quad v_0 = v' \; \wedge \; v_0 = 0 \\ G_{\mathrm{sreset}} - G_{\mathrm{warmaccess}} & \text{if} \quad v_0 = v' \; \wedge \; v_0 \neq 0 \\ 0 & \text{otherwise} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'J_{\text{\tiny JUMP}}(\boldsymbol{\mu}) \equiv \boldsymbol{\mu}_{\mathbf{s}}[0]', rendering as TeX: J_{\text{\tiny JUMP}}(\boldsymbol{\mu}) ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'J_{\text{\tiny JUMPI}}(\boldsymbol{\mu}) \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{s}}[0] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] \neq 0 \\ \boldsymbol{\mu}_{\mathrm{pc}} + 1 & \text{otherwise} \end{cases}', rendering as TeX: J_{\text{\tiny JUMPI}}(\boldsymbol{\mu}) ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\text{where} \quad c(x) \equiv \begin{cases} I_{\mathbf{b}}[x] & \text{if} \quad x < \lVert I_{\mathbf{b}} \rVert \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\hyperlink{salt}{\zeta} \equiv \varnothing', rendering as TeX: \hyperlink{salt}{\zeta} \equiv \varnothi ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', z, \mathbf{o}) \equiv \begin{cases} \hyperlink{lambda}{\Lambda}(\boldsymbol{\sigma}^*, A, I_{\mathrm{a}}, I_{\mathrm{o}}, L(\boldsymbol{\mu}_{\mathrm{g}}), I_{\mathrm{p}}, \boldsymbol{\mu}_{\mathbf{s}}[0], \mathbf{i}, I_{\mathrm{e}} + 1, \zeta, I_{\mathrm{w}}) & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] \leqslant \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \; \\ \quad &\wedge\; I_{\mathrm{e}} < 1024\\ \big(\boldsymbol{\sigma}, L(\boldsymbol{\mu}_{\mathrm{g}}), A, 0, () \big) & \text{otherwise} \end{cases}', rendering as TeX: \hyperlink{lambda}{\Lambda}(\boldsymbol{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{g}} \equiv \boldsymbol{\mu}_{\mathrm{g}} - \hyperlink{L_but_64}{L}(\boldsymbol{\mu}_{\mathrm{g}}) + g'', rendering as TeX: rm{g}} - \hyperlink{L_but_64}{L}(\boldsy ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{o}} \equiv \begin{cases} () & \text{if} \quad z = 1 \\ \mathbf{o} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', x, \mathbf{o}) \equiv \begin{cases} \begin{array}{l}\hyperlink{theta}{\Theta}(\boldsymbol{\sigma}, A^*, I_{\mathrm{a}}, I_{\mathrm{o}}, t, t, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A),\\ \quad I_{\mathrm{p}}, \boldsymbol{\mu}_{\mathbf{s}}[2], \boldsymbol{\mu}_{\mathbf{s}}[2], \mathbf{i}, I_{\mathrm{e}} + 1, I_{\mathrm{w}})\end{array} & \begin{array}{l}\text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \leqslant \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \;\wedge \\ \quad\quad I_{\mathrm{e}} < 1024\end{array}\\ (\boldsymbol{\sigma}, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), A, 0, ()) & \text{otherwise} \end{cases}', rendering as TeX: array}{l}\hyperlink{theta}{\Theta}(\bold ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{g}} \equiv \boldsymbol{\mu}_{\mathrm{g}} - C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A) + g'', rendering as TeX: hrm{g}} - C_{\text{\tiny CALLGAS}}(\bold ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny CALL}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) + C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A)', rendering as TeX: C_{\text{\tiny CALL}}(\boldsymbol{\sigma ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv \begin{cases} C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) + G_{\mathrm{callstipend}} & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \\ C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny CALLGAS}}(\boldsymbol{\si ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv \begin{cases} \min\{ \hyperlink{L_but_64}{L}(\boldsymbol{\mu}_{\mathrm{g}} - C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A)), \boldsymbol{\mu}_{\mathbf{s}}[0] \} & \text{if} \quad \boldsymbol{\mu}_{\mathrm{g}} \ge C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A)\\ \boldsymbol{\mu}_{\mathbf{s}}[0] & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny GASCAP}}(\boldsymbol{\sig ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv \hyperlink{C_aaccess}{C_{\mathrm{aaccess}}}(t, A) + C_{\text{\tiny XFER}}(\boldsymbol{\mu}) + C_{\text{\tiny NEW}}(\boldsymbol{\sigma}, \boldsymbol{\mu})', rendering as TeX: C_{\text{\tiny EXTRA}}(\boldsymbol{\sigm ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny XFER}}(\boldsymbol{\mu}) \equiv \begin{cases} G_{\mathrm{callvalue}} & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny XFER}}(\boldsymbol{\mu}) ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny NEW}}(\boldsymbol{\sigma}, \boldsymbol{\mu}) \equiv \begin{cases} G_{\mathrm{newaccount}} & \text{if} \quad \mathtt{DEAD}(\boldsymbol{\sigma}, t) \wedge \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny NEW}}(\boldsymbol{\sigma} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', x, \mathbf{o}) \equiv \begin{cases}\begin{array}{l}\Theta(\boldsymbol{\sigma}, A^*, I_{\mathrm{a}}, I_{\mathrm{o}}, I_{\mathrm{a}}, t, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), \\ \quad I_{\mathrm{p}}, \boldsymbol{\mu}_{\mathbf{s}}[2], \boldsymbol{\mu}_{\mathbf{s}}[2], \mathbf{i}, I_{\mathrm{e}} + 1, I_{\mathrm{w}})\end{array} & \begin{array}{l}\text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \leqslant \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \;\wedge\\ \quad\quad{}I_{\mathrm{e}} < 1024\end{array} \\ (\boldsymbol{\sigma}, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), A, 0, ()) & \text{otherwise} \end{cases}', rendering as TeX: m{a}}, t, C_{\text{\tiny CALLGAS}}(\bold ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}', rendering as TeX: \hyperlink{theta}{\Theta} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'H_{\text{\tiny RETURN}}(\boldsymbol{\mu}) \equiv \boldsymbol{\mu}_{\mathbf{m}}[ \boldsymbol{\mu}_{\mathbf{s}}[0] \dots ( \boldsymbol{\mu}_{\mathbf{s}}[0] + \boldsymbol{\mu}_{\mathbf{s}}[1] - 1 ) ]', rendering as TeX: H_{\text{\tiny RETURN}}(\boldsymbol{\mu} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', x, \mathbf{o}) \equiv \begin{cases}\begin{array}{l}\Theta(\boldsymbol{\sigma}, A^*, I_{\mathrm{s}}, I_{\mathrm{o}}, I_{\mathrm{a}}, t, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), \\\quad I_{\mathrm{p}}, 0, I_{\mathrm{v}}, \mathbf{i}, I_{\mathrm{e}} + 1, I_{\mathrm{w}})\end{array} & \text{if} \quad I_{\mathrm{e}} < 1024 \\ (\boldsymbol{\sigma}, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), A, 0, ()) & \text{otherwise} \end{cases}', rendering as TeX: m{a}}, t, C_{\text{\tiny CALLGAS}}(\bold ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}', rendering as TeX: \hyperlink{theta}{\Theta} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}', rendering as TeX: \hyperlink{theta}{\Theta} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'H_{\text{\tiny RETURN}}(\boldsymbol{\mu}) \equiv \boldsymbol{\mu}_{\mathbf{m}}[ \boldsymbol{\mu}_{\mathbf{s}}[0] \dots ( \boldsymbol{\mu}_{\mathbf{s}}[0] + \boldsymbol{\mu}_{\mathbf{s}}[1] - 1 ) ]', rendering as TeX: H_{\text{\tiny RETURN}}(\boldsymbol{\mu} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\boldsymbol{\sigma}'[r] \equiv \begin{cases} \varnothing &\text{if}\quad \boldsymbol{\sigma}[r] = \varnothing\ \wedge\ \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} = 0\\ (\boldsymbol{\sigma}[r]_{\mathrm{n}}, \boldsymbol{\sigma}[r]_{\mathrm{b}} + \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}}, \boldsymbol{\sigma}[r]_{\mathbf{s}}, \boldsymbol{\sigma}[r]_{\mathrm{c}}) & \text{if}\quad r \neq I_{\mathrm{a}} \\ (\boldsymbol{\sigma}[r]_{\mathrm{n}}, 0, \boldsymbol{\sigma}[r]_{\mathbf{s}}, \boldsymbol{\sigma}[r]_{\mathrm{c}}) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} C_{\text{\tiny SELFDESTRUCT}}(\boldsymbol{\sigma}, \boldsymbol{\mu}) &\equiv G_{\mathrm{selfdestruct}} + \begin{cases} 0 & \text{if}\quad r \in \hyperlink{accessed_addresses_defn_words_A__a}{A_{\mathbf{a}}}\\ G_{\mathrm{coldaccountaccess}} & \text{otherwise} \end{cases}\\ &+ \begin{cases} G_{\mathrm{newaccount}} & \text{if}\quad \mathtt{DEAD}(\boldsymbol{\sigma}, r) \wedge \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \neq 0 \\ 0 & \text{otherwise} \end{cases} \end{aligned}', rendering as TeX: C_{\text{\tiny SELFDESTRUCT}}(\boldsymbo ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{epoch}}(H_{\mathrm{i}}) = \left\lfloor\frac{H_{\mathrm{i}}}{J_{\mathrm{epoch}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{prime}}(x, y) = \begin{cases} x & \text{if} \quad x / y \in \mathbb{N} \\ E_{\mathrm{prime}}(x - 2 \cdot y, y) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'C_{\mathrm{seedhash}}(H_{\mathrm{i}}) = \begin{cases} \mathbf{0}_{32} & \text{if} \quad E_{\mathrm{epoch}}(H_{\mathrm{i}}) = 0 \quad \\ \texttt{KEC}(C_{\mathrm{seedhash}}(H_{\mathrm{i}} - J_{\mathrm{epoch}})) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\mathbf{c}_{i} = \begin{cases} \texttt{KEC512}(\mathbf{s}) & \text{if} \quad i = 0 \quad \\ \texttt{KEC512}(\mathbf{c}_{i-1}) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'n = \left\lfloor\frac{c_{\mathrm{size}}}{J_{\mathrm{hashbytes}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{cacherounds}}(\mathbf{x}, y) = \begin{cases} \mathbf{x} & \text{if} \quad y = 0 \quad \\ E_\text{\tiny RMH}(\mathbf{x}) & \text{if} \quad y = 1 \quad \\ E_{\mathrm{cacherounds}}(E_\text{\tiny RMH}(\mathbf{x}), y -1 ) & \text{otherwise} \end{cases}', rendering as TeX: E_\text{\tiny RMH}(\mathbf{x}) & \text{i ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_\text{\tiny RMH}(\mathbf{x}) = \big( E_{\mathrm{rmh}}(\mathbf{x}, 0), E_{\mathrm{rmh}}(\mathbf{x}, 1), ... , E_{\mathrm{rmh}}(\mathbf{x}, n - 1) \big)\Hy@raisedlink{\hypertarget{E__cacherounds}{}}{}', rendering as TeX: E_\text{\tiny RMH}(\mathbf{x}) = \big( E ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\begin{gathered} E_{\mathrm{rmh}}(\mathbf{x}, i) = \texttt{KEC512}(\mathbf{x'}[(i - 1 + n) \bmod n] \oplus \mathbf{x'}[\mathbf{x'}[i][0] \bmod n]) \\ \text{with} \quad \mathbf{x'} = \mathbf{x} \quad \text{except} \quad \mathbf{x'}[j] = E_{\mathrm{rmh}}(\mathbf{x}, j) \quad \forall \quad j < i\end{gathered}', rendering as TeX [WARNING] Could not convert TeX math '\mathbf{d}[i] = E_{\mathrm{datasetitem}}(\mathbf{c}, i) \quad \forall \quad i < \left\lfloor\frac{d_{\mathrm{size}}}{J_{\mathrm{hashbytes}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_\text{\tiny FNV}(\mathbf{x}, \mathbf{y}) = (\mathbf{x} \cdot (\mathrm{0x01000193} \oplus \mathbf{y})) \bmod 2^{32}', rendering as TeX: E_\text{\tiny FNV}(\mathbf{x}, \mathbf{y ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{parents}}(\mathbf{c}, i, p, \mathbf{m}) = \begin{cases} E_{\mathrm{parents}}(\mathbf{c}, i, p +1, E_{\mathrm{mix}}(\mathbf{m}, \mathbf{c}, i, p + 1)) & \text{if} \quad p < J_{\mathrm{parents}} -2 \\ E_{\mathrm{mix}}(\mathbf{m}, \mathbf{c}, i, p + 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{mix}}(\mathbf{m}, \mathbf{c}, i, p) = \begin{cases} \texttt{KEC512}(\mathbf{c}[i \bmod c_\mathrm{{size}}] \oplus i) & \text{if} \quad p = 0 \\ E_\text{\tiny FNV}\big(\mathbf{m}, \mathbf{c}[E_\text{\tiny FNV}(i \oplus p, \mathbf{m}[p \bmod \lfloor J_{\mathrm{hashbytes}} / J_{\mathrm{wordbytes}} \rfloor]) \bmod c_{\mathrm{size}}] \big) & \text{otherwise} \end{cases}', rendering as TeX: E_\text{\tiny FNV}\big(\mathbf{m}, \math ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_\text{\tiny FNV}', rendering as TeX: E_\text{\tiny FNV} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\mathtt{PoW}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }, H_{\mathrm{n}}, \mathbf{d}) = \lbrace \mathbf{m}_{\mathrm{c}}(\mathtt{KEC}(\mathtt{RLP}(L_{\mathrm{H}}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }))), H_{\mathrm{n}}, \mathbf{d}), \texttt{KEC}(\mathbf{s}_{\mathrm{h}}(\mathtt{KEC}(\mathtt{RLP}(L_{\mathrm{H}}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }))), H_{\mathrm{n}}) + \mathbf{m}_{\mathrm{c}}(\mathtt{KEC}(\mathtt{RLP}(L_{\mathrm{H}}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }))), H_{\mathrm{n}}, \mathbf{d})) \rbrace', rendering as TeX: \mathtt{PoW}(H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math 'H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }', rendering as TeX: H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\mathbf{m}_{\mathrm{c}}(\mathbf{h}, \mathbf{n}, \mathbf{d}) = E_{\mathrm{compress}}(E_{\mathrm{accesses}}(\mathbf{d}, \sum_{i = 0}^{n_{\mathrm{mix}}} \mathbf{s}_{\mathrm{h}}(\mathbf{h}, \mathbf{n}), \mathbf{s}_{\mathrm{h}}(\mathbf{h}, \mathbf{n}), -1), -4)', rendering as TeX [WARNING] Could not convert TeX math 'n_{\mathrm{mix}} = \left\lfloor\frac{J_{\mathrm{mixbytes}}}{J_{\mathrm{hashbytes}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{accesses}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i) = \begin{cases} E_{\mathrm{mixdataset}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i) & \text{if} \quad i = J_{\mathrm{accesses}} -2 \\ E_{\mathrm{accesses}}(E_{\mathrm{mixdataset}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i), \mathbf{s}, i + 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{mixdataset}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i) = E_\text{\tiny FNV}(\mathbf{m}, E_{\mathrm{newdata}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i))', rendering as TeX: f{s}, i) = E_\text{\tiny FNV}(\mathbf{m} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{newdata}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i)[j] = \mathbf{d}[E_\text{\tiny FNV}(i \oplus \mathbf{s}[0], \mathbf{m}[i \bmod \left\lfloor\frac{J_{\mathrm{mixbytes}}}{J_{\mathrm{wordbytes}}}\right\rfloor]) \bmod \left\lfloor\frac{d_{\mathrm{size}} / J_{\mathrm{hashbytes}}}{n_{\mathrm{mix}}}\right\rfloor \cdot n_{\mathrm{mix}} + j] \quad \forall \quad j < n_{\mathrm{mix}}', rendering as TeX: \mathbf{d}[E_\text{\tiny FNV}(i \oplus \ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{compress}}(\mathbf{m}, i) = \begin{cases} \mathbf{m} & \text{if} \quad i \geqslant \lVert \mathbf{m} \rVert - 8 \\ E_{\mathrm{compress}}(E_\text{\tiny FNV}(E_\text{\tiny FNV}(E_\text{\tiny FNV}(\mathbf{m}[i + 4], \mathbf{m}[i + 5]), \mathbf{m}[i + 6]), \mathbf{m}[i + 7]), i + 8) & \text{otherwise} \end{cases}', rendering as TeX: compress}}(E_\text{\tiny FNV}(E_\text{\t ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" franfran@DESKTOP-T7KAS9N:~/Projects/misc/yellowpaper$ pandoc -f latex -t html --output Paper.html Paper.tex > dump.txt [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{Upsilon_state_transition}{}}\Hy@raisedlink{\hypertarget{Upsilon}{}}\boldsymbol{\sigma}_{t+1} \equiv \Upsilon(\boldsymbol{\sigma}_{t}, T)', rendering as TeX: \Hy@raisedlink{\hypertarget{Upsilon_stat ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}_{t+1} & \equiv & \hyperlink{Pi}{\Pi}(\boldsymbol{\sigma}_{t}, B) \\ B & \equiv & (..., (T_0, T_1, ...), ...) \\ \Pi(\boldsymbol{\sigma}, B) & \equiv & \hyperlink{Omega}{\Omega}(B, \hyperlink{Upsilon}{\Upsilon}(\Upsilon(\boldsymbol{\sigma}, T_0), T_1) ...)\end{aligned}', rendering as TeX: }_{t+1} & \equiv & \hyperlink{Pi}{\Pi}(\ ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\hyperlink{Pi}{\Pi}', rendering as TeX: \hyperlink{Pi}{\Pi} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{chain_id}{}} \beta = 1', rendering as TeX: \Hy@raisedlink{\hypertarget{chain_id}{}} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{L_transaction}{}} L_{\mathrm{T}}(T) \equiv \begin{cases} (T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, T_{\mathrm{w}}, T_{\mathrm{r}}, T_{\mathrm{s}}) & \text{if} \; T_{\mathrm{x}} = 0 \\ (T_{\mathrm{c}}, T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, T_{\mathbf{A}}, T_{\mathrm{y}}, T_{\mathrm{r}}, T_{\mathrm{s}}) & \text{if} \; T_{\mathrm{x}} = 1 \\ \end{cases}', rendering as TeX: \Hy@raisedlink{\hypertarget{L_transactio ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\mathbf{p} \equiv \begin{cases} T_{\mathbf{i}} & \text{if}\ T_{\mathrm{t}} = \varnothing \\ T_{\mathbf{d}} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{array}[t]{lclclc} T_{\mathrm{x}} \in \{0, 1\} & \wedge & T_{\mathrm{c}} = \beta & \wedge & T_{\mathrm{n}} \in \mathbb{N}_{256} & \wedge \\ T_{\mathrm{p}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{g}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{v}} \in \mathbb{N}_{256} & \wedge \\ T_{\mathrm{w}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{r}} \in \mathbb{N}_{256} & \wedge & T_{\mathrm{s}} \in \mathbb{N}_{256} & \wedge \\ T_{\mathrm{y}} \in \mathbb{N}_{1} & \wedge & T_{\mathbf{d}} \in \mathbb{B} & \wedge & T_{\mathbf{i}} \in \mathbb{B} \end{array}', rendering as TeX: \begin{array}[t]{lclclc} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'T_{\mathbf{t}} \in \begin{cases} \mathbb{B}_{20} & \text{if} \quad T_{\mathrm{t}} \neq \varnothing \\ \mathbb{B}_{0} & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'M(O) \equiv \hyperlink{bigvee}{\bigvee}_{x \in \{O_{\mathrm{a}}\} \cup O_{\mathbf{t}}} \big( M_{3:2048}(x) \big)', rendering as TeX: ) \equiv \hyperlink{bigvee}{\bigvee}_{x ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} M_{3:2048}(\mathbf{x}: \mathbf{x} \in \mathbb{B}) & \equiv & \mathbf{y}: \mathbf{y} \in \mathbb{B}_{256} \quad \text{where:}\\ \mathbf{y} & = & (0, 0, ..., 0) \quad \text{except:}\\ \forall i \in \{0, 2, 4\}&:&\mathcal{B}_{2047 - m(\mathbf{x}, i)}(\mathbf{y}) = 1\\ m(\mathbf{x}, i) &\equiv& \mathtt{KEC}(\mathbf{x})[i, i + 1] \bmod 2048\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{array}[t]{lclc} \Hy@raisedlink{\hypertarget{new_state_H__r}{}}{}H_{\mathrm{r}} &\equiv& \mathtt{TRIE}(L_S(\Pi(\boldsymbol{\sigma}, B))) & \wedge \\ \Hy@raisedlink{\hypertarget{Ommer_block_hash_H__o}{}}{}H_{\mathrm{o}} &\equiv& \mathtt{KEC}(\mathtt{RLP}(L_H^*(B_{\mathbf{U}}))) & \wedge \\ \Hy@raisedlink{\hypertarget{tx_block_hash_H__t}{}}{}H_{\mathrm{t}} &\equiv& \mathtt{TRIE}(\{\forall i < \lVert B_{\mathbf{T}} \rVert, i \in \mathbb{N}: &\\&& \quad\quad p_{\mathrm{T}}(i, B_{\mathbf{T}}[i])\}) & \wedge \\ \Hy@raisedlink{\hypertarget{Receipts_Root_H__e}{}}{}H_{\mathrm{e}} &\equiv& \mathtt{TRIE}(\{\forall i < \lVert B_{\mathbf{R}} \rVert, i \in \mathbb{N}: &\\&& \quad\quad p_{\mathrm{R}}(i, B_{\mathbf{R}}[i])\}) & \wedge \\ \Hy@raisedlink{\hypertarget{logs_Bloom_filter_H__b}{}}{}H_{\mathrm{b}} &\equiv& \bigvee_{\mathbf{r} \in B_{\mathbf{R}}} \big( \mathbf{r}_{\mathrm{b}} \big) \end{array}', rendering as TeX: \begin{array}[t]{lclc} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'p_{\mathrm{T}}(k, T) \equiv \left( \mathtt{RLP}(k), \begin{cases} \mathtt{RLP}(\hyperlink{L_transaction}{L_{\mathrm{T}}}(T)) & \text{if} \quad T_{\mathrm{x}} = 0 \\ (T_{\mathrm{x}}) \cdot \mathtt{RLP}(L_{\mathrm{T}}(T)) & \text{otherwise} \end{cases} \right)', rendering as TeX: htt{RLP}(\hyperlink{L_transaction}{L_{\m ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'p_{\mathrm{R}}(k, R) \equiv \left( \mathtt{RLP}(k), \begin{cases} \mathtt{RLP}(\hyperlink{L__R}{L_{\mathrm{R}}}(R)) & \text{if} \quad R_{\mathrm{x}} = 0 \\ (R_{\mathrm{x}}) \cdot \mathtt{RLP}(L_{\mathrm{R}}(R)) & \text{otherwise} \end{cases} \right)', rendering as TeX: htt{RLP}(\hyperlink{L__R}{L_{\mathrm{R}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \quad L_{\mathrm{H}}(H) & \equiv & (\begin{array}[t]{l}H_{\mathrm{p}}, H_{\mathrm{o}}, H_{\mathrm{c}}, H_{\mathrm{r}}, H_{\mathrm{t}}, H_{\mathrm{e}}, H_{\mathrm{b}}, H_{\mathrm{d}},\\ H_{\mathrm{i}}, H_{\mathrm{l}}, H_{\mathrm{g}}, H_{\mathrm{s}}, H_{\mathrm{x}}, H_{\mathrm{m}}, H_{\mathrm{n}} \; )\end{array} \\ \quad L_{\mathrm{B}}(B) & \equiv & \big( L_{\mathrm{H}}(B_{\mathrm{H}}), \widetilde{L}_{\mathrm{T}}^*(B_{\mathbf{T}}), L_{\mathrm{H}}^*(\hyperlink{ommer_block_headers_B__U}{B_{\mathbf{U}}}) \big)\end{aligned}', rendering as TeX: H}}(H) & \equiv & (\begin{array}[t]{l}H_ ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\widetilde{L}_{\mathrm{T}}(T) = \begin{cases} \hyperlink{L_transaction}{L_{\mathrm{T}}}(T) & \text{if} \quad T_{\mathrm{x}} = 0 \\ (T_{\mathrm{x}}) \cdot \mathtt{RLP}(L_{\mathrm{T}}(T)) & \text{otherwise} \end{cases}', rendering as TeX: \hyperlink{L_transaction}{L_{\mathrm{T}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{array}[t]{lclclcl} \hyperlink{parent_Hash_H__p_def_words}{H_{\mathrm{p}}} \in \mathbb{B}_{32} & \wedge & H_{\mathrm{o}} \in \mathbb{B}_{32} & \wedge & H_{\mathrm{c}} \in \mathbb{B}_{20} & \wedge \\ \hyperlink{new_state_H__r}{H_{\mathrm{r}}} \in \mathbb{B}_{32} & \wedge & H_{\mathrm{t}} \in \mathbb{B}_{32} & \wedge & \hyperlink{Receipts_Root_H__e}{H_{\mathrm{e}}} \in \mathbb{B}_{32} & \wedge \\ \hyperlink{logs_Bloom_filter_H__b}{H_{\mathrm{b}}} \in \mathbb{B}_{256} & \wedge & H_{\mathrm{d}} \in \mathbb{N} & \wedge & \hyperlink{block_number_H__i}{H_{\mathrm{i}}} \in \mathbb{N} & \wedge \\ \hyperlink{block_gas_limit_H__l}{H_{\mathrm{l}}} \in \mathbb{N} & \wedge & H_{\mathrm{g}} \in \mathbb{N} & \wedge & \hyperlink{block_timestamp_H__s}{H_{\mathrm{s}}} \in \mathbb{N}_{256} & \wedge \\ \hyperlink{block_extraData_H__x}{H_{\mathrm{x}}} \in \mathbb{B} & \wedge & H_{\mathrm{m}} \in \mathbb{B}_{32} & \wedge & \hyperlink{block_nonce_H__n}{H_{\mathrm{n}}} \in \mathbb{B}_{8} \end{array}', rendering as TeX: \begin{array}[t]{lclclcl} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'P(H) \equiv B': \mathtt{KEC}(\mathtt{RLP}(B'_{\mathrm{H}})) = \hyperlink{parent_Hash_H__p_def_words}{H_{\mathrm{p}}}', rendering as TeX: {H}})) = \hyperlink{parent_Hash_H__p_def ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'D(H) \equiv \begin{dcases} 2^{34} & \text{if} \quad H_{\mathrm{i}} = 0\\ \text{max}\!\left(D_\mathrm{min}, {P(H)_{\mathrm{H}}}_{\mathrm{d}} + x\times\ensuremath{\varsigma_2}+ \ensuremath{\epsilon}\right) & \text{otherwise}\\ \end{dcases}', rendering as TeX: D(H) \equiv \begin{dcases} ^ unexpected "d" expecting white space or "Bmatrix", "Vmatrix", "align", "alignat", "aligned", "alignedat", "array", "bmatrix", "cases", "eqnarray", "equation", "flalign", "flaligned", "gather", "gathered", "matrix", "multline", "pmatrix", "smallmatrix", "split", "vmatrix" [WARNING] Could not convert TeX math '\begin{aligned} D_\mathrm{min}&\equiv 2^{17} \\ x&\equiv \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{d}}}{2048}\right\rfloor \\ \ensuremath{\varsigma_2}&\equiv \text{max}\left( y - \left\lfloor\frac{H_{\mathrm{s}} - {P(H)_{\mathrm{H}}}_{\mathrm{s}}}{9}\right\rfloor, -99 \right) \\ y &\equiv \begin{cases} 1 & \text{if} \quad \lVert P(H)_{\mathbf{U}}\rVert = 0 \\ 2 & \text{otherwise} \end{cases} \\ \ensuremath{\epsilon}&\equiv \left\lfloor 2^{ \left\lfloor H'_{\mathrm{i}} \div 100000 \right\rfloor - 2 } \right\rfloor \\ H'_{\mathrm{i}} &\equiv \max(H_{\mathrm{i}} - \kappa, 0)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\kappa \equiv \begin{cases} 3000000 & \text{if} \quad F_{\mathrm{Byzantium}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Constantinople}} \\ 5000000 & \text{if} \quad F_{\mathrm{Constantinople}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Muir Glacier}} \\ 9000000 & \text{if} \quad F_{\mathrm{Muir Glacier}} \leqslant H_{\mathrm{i}} < F_{\mathrm{London}} \\ 9700000 & \text{if} \quad F_{\mathrm{London}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Arrow Glacier}} \\ 10700000 & \text{if} \quad F_{\mathrm{Arrow Glacier}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Gray Glacier}} \\ 11400000 & \text{if} \quad H_{\mathrm{i}} \geqslant F_{\mathrm{Gray Glacier}} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} & & H_{\mathrm{l}} < {P(H)_{\mathrm{H}}}_{\mathrm{l}} + \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} > {P(H)_{\mathrm{H}}}_{\mathrm{l}} - \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} \geqslant 5000\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math 'n \leqslant \frac{2^{256}}{H_{\mathrm{d}}} \quad \wedge \quad m = H_{\mathrm{m}}', rendering as TeX [WARNING] Could not convert TeX math '(n, m) = \mathtt{PoW}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }, H_{\mathrm{n}}, \mathbf{d})', rendering as TeX: = \mathtt{PoW}(H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math 'H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }', rendering as TeX: H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\begin{aligned} V(H) & \equiv & n \leqslant \frac{2^{256}}{H_{\mathrm{d}}} \wedge m = H_{\mathrm{m}} \quad \wedge \\ \nonumber & & H_{\mathrm{d}} = D(H) \quad \wedge \\ \nonumber& & H_{\mathrm{g}} \le H_{\mathrm{l}} \quad \wedge \\ \nonumber& & H_{\mathrm{l}} < {P(H)_{\mathrm{H}}}_{\mathrm{l}} + \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} > {P(H)_{\mathrm{H}}}_{\mathrm{l}} - \left\lfloor\frac{{P(H)_{\mathrm{H}}}_{\mathrm{l}}}{1024}\right\rfloor \quad \wedge \\ \nonumber& & H_{\mathrm{l}} \geqslant 5000 \quad \wedge \\ \nonumber& & H_{\mathrm{s}} > {P(H)_{\mathrm{H}}}_{\mathrm{s}} \quad \wedge \\ \nonumber& & H_{\mathrm{i}} = {P(H)_{\mathrm{H}}}_{\mathrm{i}} +1 \quad \wedge \\ \nonumber& & \lVert H_{\mathrm{x}} \rVert \le 32\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '(n, m) = \mathtt{PoW}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }, H_{\mathrm{n}}, \mathbf{d})', rendering as TeX: = \mathtt{PoW}(H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\hyperlink{precompiled_set}{\pi}', rendering as TeX: \hyperlink{precompiled_set}{\pi} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} g_0 \equiv {} & \sum_{i \in T_{\mathbf{i}}, T_{\mathbf{d}}} \begin{cases} \hyperlink{G__txdatazero}{G_{\mathrm{txdatazero}}} & \text{if} \quad i = 0 \\ \hyperlink{G__txdatanonzero}{G_{\mathrm{txdatanonzero}}} & \text{otherwise} \end{cases} \\ \nonumber {} & + \begin{cases} \hyperlink{G__txcreate}{G_{\mathrm{txcreate}}} & \text{if} \quad T_{\mathrm{t}} = \varnothing \\ 0 & \text{otherwise} \end{cases} \\ \nonumber {} & + \hyperlink{G__transaction}{G_{\mathrm{transaction}}} \\ \nonumber {} & + \sum_{j = 0}^{\lVert T_{\mathbf{A}} \rVert - 1} \big( G_{\mathrm{accesslistaddress}} + \lVert T_{\mathbf{A}}[j]_{\mathbf{s}} \rVert G_{\mathrm{accessliststorage}} \big)\end{aligned}', rendering as TeX: }, T_{\mathbf{d}}} \begin{cases} \hyperl ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\hyperlink{G__accesslistaddress}{G_{\mathrm{accesslistaddress}}}', rendering as TeX: \hyperlink{G__accesslistaddress}{G_{\mat ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{G__accessliststorage}{G_{\mathrm{accessliststorage}}}', rendering as TeX: \hyperlink{G__accessliststorage}{G_{\mat ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'v_0 \equiv \hyperlink{tx_gas_limit_T__g}{T_{\mathrm{g}}} \hyperlink{tx_gas_price_T__p}{T_{\mathrm{p}}} + \hyperlink{tx_value_T__v}{T_{\mathrm{v}}}', rendering as TeX: 0 \equiv \hyperlink{tx_gas_limit_T__g}{T ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{array}[t]{rcl} S(T) & \neq & \varnothing \quad \wedge \\ \boldsymbol{\sigma}[S(T)]_{\mathrm{c}} & = & \texttt{KEC}\big( () \big) \quad \wedge \\ \Hy@raisedlink{\hypertarget{transaction_nonce}{}}{}T_{\mathrm{n}} & = & \boldsymbol{\sigma}[S(T)]_{\mathrm{n}} \quad \wedge \\ g_0 & \leqslant & T_{\mathrm{g}} \quad \wedge \\ v_0 & \leqslant & \boldsymbol{\sigma}[S(T)]_{\mathrm{b}} \quad \wedge \\ T_{\mathrm{g}} & \leqslant & {B_{\mathrm{H}}}_{\mathrm{l}} - \hyperlink{ell}{\ell}(B_{\mathbf{R}})_{\mathrm{u}} \end{array}', rendering as TeX: \begin{array}[t]{rcl} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math '\hyperlink{ell}{\ell}(B_{\mathbf{R}})_{\mathrm{u}}', rendering as TeX: \hyperlink{ell}{\ell}(B_{\mathbf{R}})_{\ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Hy@raisedlink{\hypertarget{sigma_0}{}}{}\boldsymbol{\sigma}_0 & \equiv & \boldsymbol{\sigma} \quad \text{except:} \\ \boldsymbol{\sigma}_0[S(T)]_{\mathrm{b}} & \equiv & \boldsymbol{\sigma}[S(T)]_{\mathrm{b}} - T_{\mathrm{g}} T_{\mathrm{p}} \\ \boldsymbol{\sigma}_0[S(T)]_{\mathrm{n}} & \equiv & \boldsymbol{\sigma}[S(T)]_{\mathrm{n}} + 1\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{sigma_0}{}}{ ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}_{\mathrm{P}}, g', A, z) \equiv \begin{cases} \hyperlink{lambda}{\Lambda}_{4}(\boldsymbol{\sigma}_0, A^*, S(T), S(T), g, &\\ \quad\; T_{\mathrm{p}}, T_{\mathrm{v}}, T_{\mathbf{i}}, 0, \varnothing, \top) & \text{if} \quad T_{\mathrm{t}} = \varnothing \\ \hyperlink{theta}{\Theta}_{4}(\boldsymbol{\sigma}_0, A^*, S(T), S(T), T_{\mathrm{t}}, &\\ \quad\; T_{\mathrm{t}}, g, T_{\mathrm{p}}, T_{\mathrm{v}}, T_{\mathrm{v}}, T_{\mathbf{d}}, 0, \top) & \text{otherwise} \end{cases}', rendering as TeX: \hyperlink{lambda}{\Lambda}_{4}(\boldsym ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} A^* & \equiv A^0 \quad \text{except} \\ A^*_{\mathbf{a}} & \equiv A^0_{\mathbf{a}} \cup \{S(T)\} \cup_{E \in T_{\mathbf{A}}} \{ \hyperlink{access_list_entry}{E}_{\mathrm{a}} \} \\ A^*_{\mathbf{K}} & \equiv \bigcup_{E \in T_{\mathbf{A}}} \big\{ \forall i < \lVert E_{\mathbf{s}} \rVert, i \in \mathbb{N}: \; (E_{\mathrm{a}}, E_{\mathbf{s}}[i]) \big\}\end{aligned}', rendering as TeX: T_{\mathbf{A}}} \{ \hyperlink{access_lis ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}_{4}', rendering as TeX: \hyperlink{theta}{\Theta}_{4} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{lambda}{\Lambda}_{4}', rendering as TeX: \hyperlink{lambda}{\Lambda}_{4} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'g^* \equiv g' + \min \left\{ \Big\lfloor \dfrac{T_{\mathrm{g}} - g'}{2} \Big\rfloor, A'_{\mathrm{r}} \right\}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}^* & \equiv & \boldsymbol{\sigma}_{\mathrm{P}} \quad \text{except} \\ \boldsymbol{\sigma}^*[S(T)]_{\mathrm{b}} & \equiv & \boldsymbol{\sigma}_{\mathrm{P}}[S(T)]_{\mathrm{b}} + g^* T_{\mathrm{p}} \\ \boldsymbol{\sigma}^*[m]_{\mathrm{b}} & \equiv & \boldsymbol{\sigma}_{\mathrm{P}}[m]_{\mathrm{b}} + (T_{\mathrm{g}} - g^*) T_{\mathrm{p}} \\ m & \equiv & {B_{\mathrm{H}}}_{\mathrm{c}}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}' & \equiv & \boldsymbol{\sigma}^* \quad \text{except} \\ \Hy@raisedlink{\hypertarget{self_destruct_list_A__s}{}}{}\forall i \in A_{\mathbf{s}}: \boldsymbol{\sigma}'[i] & = & \varnothing \\ \Hy@raisedlink{\hypertarget{touched_A__t}{}}{}\forall i \in A_{\mathbf{t}}: \boldsymbol{\sigma}'[i] & = & \varnothing \quad\text{if}\quad \mathtt{DEAD}(\boldsymbol{\sigma}^*\kern -2pt, i)\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{self_destruc ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Upsilon^{\mathrm{g}}(\boldsymbol{\sigma}, T) & \equiv & T_{\mathrm{g}} - g^* \\ \Upsilon^{\mathbf{l}}(\boldsymbol{\sigma}, T) & \equiv & \hyperlink{tx_log_series_wordy_defn_A__l}{A_{\mathbf{l}}} \\ \Upsilon^{\mathrm{z}}(\boldsymbol{\sigma}, T) & \equiv & z\end{aligned}', rendering as TeX: ma}, T) & \equiv & \hyperlink{tx_log_ser ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} a & \equiv \mathtt{ADDR}(s, \boldsymbol{\sigma}[s]_{\mathrm{n}} - 1, \zeta, \mathbf{i}) \\ \label{eq:new-address} \mathtt{ADDR}(s, n, \zeta, \mathbf{i}) & \equiv \mathcal{B}_{96..255}\Big(\mathtt{KEC}\big( L_{\mathrm{A}}(s, n, \zeta, \mathbf{i})\big) \Big) \\ L_{\mathrm{A}}(s, n, \zeta, \mathbf{i}) & \equiv \begin{cases} \mathtt{RLP}\big(\;(s, n)\;\big) & \text{if}\ \zeta = \varnothing \\ (255) \cdot s \cdot \zeta \cdot \mathtt{KEC}(\mathbf{i}) & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}^*[a] &=& \big( 1, v + v', \mathtt{\hyperlink{trie}{TRIE}}(\varnothing), \mathtt{KEC}\big(()\big) \big) \\ \boldsymbol{\sigma}^*[s] &=& \begin{cases} \varnothing & \text{if}\ \boldsymbol{\sigma}[s] = \varnothing \ \wedge\ v = 0 \\ \mathbf{a}^* & \text{otherwise} \end{cases} \\ \mathbf{a}^* &\equiv& (\boldsymbol{\sigma}[s]_{\mathrm{n}}, \boldsymbol{\sigma}[s]_{\mathrm{b}} - v, \boldsymbol{\sigma}[s]_{\mathbf{s}}, \boldsymbol{\sigma}[s]_{\mathrm{c}})\end{aligned}', rendering as TeX: & \big( 1, v + v', \mathtt{\hyperlink{tr ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math 'v' \equiv \begin{cases} 0 & \text{if} \quad \boldsymbol{\sigma}[a] = \varnothing\\ \boldsymbol{\sigma}[a]_{\mathrm{b}} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\hyperlink{xi_def}{\Xi}', rendering as TeX: \hyperlink{xi_def}{\Xi} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}^{**}, g^{**}, A^{**}, \mathbf{o}) \equiv \Xi(\boldsymbol{\sigma}^*, g, A^*, I) \\', rendering as TeX: a}^*, g, A^*, I) \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} I_{\mathrm{a}} & \equiv & a \\ I_{\mathrm{o}} & \equiv & o \\ I_{\mathrm{p}} & \equiv & p \\ I_{\mathbf{d}} & \equiv & () \\ I_{\mathrm{s}} & \equiv & s \\ \hyperlink{I__v}{I_{\mathrm{v}}} & \equiv & v \\ I_{\mathbf{b}} & \equiv & \mathbf{i} \\ I_{\mathrm{e}} & \equiv & e \\ I_{\mathrm{w}} & \equiv & w\end{aligned}', rendering as TeX: \hyperlink{I__v}{I_{\mathrm{v}}} & \equi ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \quad g' \equiv & \begin{cases} 0 & \text{if} \quad F \\ g^{**} - c & \text{otherwise} \\ \end{cases} \\ \quad \boldsymbol{\sigma}' \equiv & \begin{cases} \boldsymbol{\sigma} & \text{if} \quad F \ \lor\ \boldsymbol{\sigma}^{**} = \varnothing \\ \boldsymbol{\sigma}^{**} \quad \text{except:} & \\ \quad\boldsymbol{\sigma}'[a] = \varnothing & \text{if} \quad \mathtt{DEAD}(\boldsymbol{\sigma}^{**}, a) \\ \boldsymbol{\sigma}^{**} \quad \text{except:} & \\ \quad\boldsymbol{\sigma}'[a]_{\mathrm{c}} = \texttt{KEC}(\mathbf{o}) & \text{otherwise} \end{cases} \\ \quad A' \equiv & \begin{cases} A^* & \text{if} \quad F \ \lor\ \boldsymbol{\sigma}^{**} = \varnothing \\ A^{**} & \text{otherwise} \\ \end{cases} \\ \quad z \equiv & \begin{cases} 0 & \text{if} \quad F \ \lor\ \boldsymbol{\sigma}^{**} = \varnothing \\ 1 & \text{otherwise} \end{cases} \\ \nonumber \text{where} \\ F \equiv & \big( \boldsymbol{\sigma}[a] \neq \varnothing \ \wedge\ \big(\boldsymbol{\sigma}[a]_c \neq \texttt{\small KEC}\big(()\big) \vee \boldsymbol{\sigma}[a]_n \neq 0 \big) \big) \quad \vee \\ \nonumber &(\boldsymbol{\sigma}^{**} = \varnothing \ \wedge\ \mathbf{o} = \varnothing) \quad \vee \\ \nonumber &g^{**} < c \quad \vee \\ \nonumber &\lVert \mathbf{o} \rVert > 24576\end{aligned}', rendering as TeX: {\sigma}[a]_c \neq \texttt{\small KEC}\b ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', z, \mathbf{o}) \equiv \Hy@raisedlink{\hypertarget{theta}{}}{\Theta}(\boldsymbol{\sigma}, A, s, o, r, c, g, p, v, \tilde{v}, \mathbf{d}, e, w)', rendering as TeX: thbf{o}) \equiv \Hy@raisedlink{\hypertar ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\sigma}_1 \equiv \boldsymbol{\sigma}_1' \quad \text{except:} \\', rendering as TeX: d \text{except:} \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\sigma}_1[s] \equiv \begin{cases} \varnothing & \text{if}\ \boldsymbol{\sigma}_1'[s] = \varnothing \ \wedge\ v = 0 \\ \mathbf{a}_1 &\text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\text{and}\quad \boldsymbol{\sigma}_1' \equiv \boldsymbol{\sigma} \quad \text{except:} \\', rendering as TeX: d \text{except:} \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{cases} \boldsymbol{\sigma}_1'[r] \equiv (0, v, \mathtt{TRIE}(\varnothing), \mathtt{KEC}(())) & \text{if} \quad \boldsymbol{\sigma}[r] = \varnothing \wedge v \neq 0 \\ \boldsymbol{\sigma}_1'[r] \equiv \varnothing & \text{if}\quad \boldsymbol{\sigma}[r] = \varnothing \wedge v = 0 \\ \boldsymbol{\sigma}_1'[r] \equiv \mathbf{a}_1' & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\sigma}' & \equiv & \begin{cases} \boldsymbol{\sigma} & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \\ \boldsymbol{\sigma}^{**} & \text{otherwise} \end{cases} \\ g' & \equiv & \begin{cases} 0 & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \ \wedge \\ &\quad \mathbf{o} = \varnothing \\ g^{**} & \text{otherwise} \end{cases} \\ A' & \equiv & \begin{cases} A & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \\ A^{**} & \text{otherwise} \end{cases} \\ z & \equiv & \begin{cases} 0 & \text{if} \quad \boldsymbol{\sigma}^{**} = \varnothing \\ 1 & \text{otherwise} \end{cases} \\ \hypertarget{code_execution_result}{} (\boldsymbol{\sigma}^{**}, g^{**}, A^{**}, \mathbf{o}) & \equiv & \Xi\\ I_{\mathrm{a}} & \equiv & r \\ I_{\mathrm{o}} & \equiv & o \\ I_{\mathrm{p}} & \equiv & p \\ I_{\mathbf{d}} & \equiv & \mathbf{d} \\ I_{\mathrm{s}} & \equiv & s \\ I_{\mathrm{v}} & \equiv & \tilde{v} \\ I_{\mathrm{e}} & \equiv & e \\ I_{\mathrm{w}} & \equiv & w\end{aligned}', rendering as TeX: \hypertarget{code_execution_result}{} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Xi \equiv \begin{cases} \Xi_{\mathtt{ECREC}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 1 \\ \Xi_{\mathtt{SHA256}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 2 \\ \Xi_{\mathtt{RIP160}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 3 \\ \Xi_{\mathtt{ID}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 4 \\ \Xi_{\mathtt{EXPMOD}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 5 \\ \Xi_{\mathtt{BN\_ADD}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 6 \\ \Xi_{\mathtt{BN\_MUL}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 7 \\ \Xi_{\mathtt{SNARKV}} (\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 8 \\ \Xi_{\mathtt{BLAKE2\_F}}(\boldsymbol{\sigma}_1, g, A, I) & \text{if} \quad c = 9 \\ \Xi (\boldsymbol{\sigma}_1, g, A, I) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi(\boldsymbol{\sigma}, g, A, I) & \equiv & (\boldsymbol{\sigma}'\!, \boldsymbol{\mu}'_{\mathrm{g}}, A', \mathbf{o}) \\ (\boldsymbol{\sigma}', \boldsymbol{\mu}'\!, A', ..., \mathbf{o}) & \equiv & X\big((\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\big) \\ \boldsymbol{\mu}_{\mathrm{g}} & \equiv & g \\ \boldsymbol{\mu}_{\mathrm{pc}} & \equiv & 0 \\ \boldsymbol{\mu}_{\mathbf{m}} & \equiv & (0, 0, ...) \\ \boldsymbol{\mu}_{\mathrm{i}} & \equiv & 0 \\ \boldsymbol{\mu}_{\mathbf{s}} & \equiv & () \\ \boldsymbol{\mu}_{\mathbf{o}} & \equiv & ()\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\label{eq:X-def} X\big( (\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \big) \equiv \begin{cases} \big(\varnothing, \boldsymbol{\mu}, A, I, \varnothing\big) & \text{if} \quad Z(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \\ \big(\varnothing, \boldsymbol{\mu}', A, I, \mathbf{o}\big) & \text{if} \quad w = \text{\small REVERT} \\ O(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \cdot \mathbf{o} & \text{if} \quad \mathbf{o} \neq \varnothing \\ X\big(O(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\big) & \text{otherwise} \\ \end{cases}', rendering as TeX: text{if} \quad w = \text{\small REVERT} ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} \mathbf{o} & \equiv & H(\boldsymbol{\mu}, I) \\ (a, b, c, d) \cdot e & \equiv & (a, b, c, d, e) \\ \boldsymbol{\mu}' & \equiv & \boldsymbol{\mu}\ \text{except:} \\ \boldsymbol{\mu}'_{\mathrm{g}} & \equiv & \boldsymbol{\mu}_{\mathrm{g}} - C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\label{eq:currentoperation} w \equiv \begin{cases} I_{\mathbf{b}}[\boldsymbol{\mu}_{\mathrm{pc}}] & \text{if} \quad \boldsymbol{\mu}_{\mathrm{pc}} < \lVert I_{\mathbf{b}} \rVert \\ \text{\hyperlink{stop}{\small STOP}} & \text{otherwise} \end{cases}', rendering as TeX: \text{\hyperlink{stop}{\small STOP}} & \ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'Z(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \equiv \begin{array}[t]{l} \boldsymbol{\mu}_g < C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \quad \vee \\ \mathbf{\delta}_w = \varnothing \quad \vee \\ \lVert\boldsymbol{\mu}_\mathbf{s}\rVert < \mathbf{\delta}_w \quad \vee \\ ( w = \text{\small JUMP} \; \wedge \; \boldsymbol{\mu}_\mathbf{s}[0] \notin D(I_\mathbf{b}) ) \quad \vee \\ ( w = \text{\small JUMPI} \; \wedge \; \boldsymbol{\mu}_\mathbf{s}[1] \neq 0 \; \wedge \\ \quad \boldsymbol{\mu}_\mathbf{s}[0] \notin D(I_\mathbf{b}) ) \quad \vee \\ ( w = \text{\small RETURNDATACOPY} \; \wedge \\ \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + \boldsymbol{\mu}_{\mathbf{s}}[2] > \lVert\boldsymbol{\mu}_{\mathbf{o}}\rVert) \quad \vee \\ \lVert\boldsymbol{\mu}_\mathbf{s}\rVert - \mathbf{\delta}_w + \mathbf{\alpha}_w > 1024 \quad \vee \\ ( \neg I_{\mathrm{w}} \; \wedge \; W(w, \boldsymbol{\mu}) ) \quad \vee \\ ( w = \text{\small SSTORE} \; \wedge \; \boldsymbol{\mu}_g \leqslant G_{\mathrm{callstipend}} ) \end{array}', rendering as TeX: \begin{array}[t]{l} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math 'W(w, \boldsymbol{\mu}) \equiv \\ \begin{array}[t]{l} w \in \{\text{\small CREATE}, \text{\small CREATE2}, \text{\small SSTORE},\\ \text{\small SELFDESTRUCT}\} \ \vee \\ \text{\small LOG0} \le w \; \wedge \; w \le \text{\small LOG4} \quad \vee \\ w = \text{\small CALL} \; \wedge \; \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \end{array}', rendering as TeX: \begin{array}[t]{l} ^ unexpected "\\" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{G__callstipend}{G_{\mathrm{callstipend}}}', rendering as TeX: \hyperlink{G__callstipend}{G_{\mathrm{ca ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'D_{\mathrm{J}}(\mathbf{c}, i) \equiv \begin{cases} \{\} & \text{if} \quad i \geqslant \lVert \mathbf{c} \rVert \\ \{ i \} \cup D_{\mathrm{J}}(\mathbf{c}, N(i, \mathbf{c}[i])) & \\ \quad\quad\text{if} \quad \mathbf{c}[i] = \text{\small JUMPDEST} \\ D_{\mathrm{J}}(\mathbf{c}, N(i, \mathbf{c}[i])) & \text{otherwise} \\ \end{cases}', rendering as TeX: thbf{c}[i] = \text{\small JUMPDEST} \\ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'N(i, w) \equiv \begin{cases} i + w - \text{\small PUSH1} + 2 & \\ \quad\quad\text{if} \quad w \in [\text{\small PUSH1}, \text{\small PUSH32}] \\ i + 1 & \text{otherwise} \end{cases}', rendering as TeX: i + w - \text{\small PUSH1} + 2 & \\ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'H(\boldsymbol{\mu}, I) \equiv \begin{cases} H_{\text{\tiny RETURN}}(\boldsymbol{\mu}) \ \text{if} \quad w \in \{\text{\small \hyperlink{RETURN}{RETURN}}, \text{\small REVERT}\} &\\ () \quad\quad\ \text{if} \quad w \in \{ \text{\small \hyperlink{stop}{STOP}}, \text{\small \hyperlink{selfdestruct}{SELFDESTRUCT}} \} &\\ \varnothing \quad\quad\ \text{otherwise}& \end{cases}', rendering as TeX: H_{\text{\tiny RETURN}}(\boldsymbol{\mu} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'H_{\text{\tiny RETURN}}', rendering as TeX: H_{\text{\tiny RETURN}} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\begin{aligned} O\big((\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I)\big) & \equiv & (\boldsymbol{\sigma}', \boldsymbol{\mu}', A', I) \\ \Delta & \equiv & \mathbf{\alpha}_{w} - \mathbf{\delta}_{w} \\ \lVert\boldsymbol{\mu}'_{\mathbf{s}}\rVert & \equiv & \lVert\boldsymbol{\mu}_{\mathbf{s}}\rVert + \Delta \\ \quad \forall x \in [\mathbf{\alpha}_{w}, \lVert\boldsymbol{\mu}'_{\mathbf{s}}\rVert): \boldsymbol{\mu}'_{\mathbf{s}}[x] & \equiv & \boldsymbol{\mu}_{\mathbf{s}}[x-\Delta]\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \quad \boldsymbol{\mu}'_{\mathrm{g}} & \equiv & \boldsymbol{\mu}_{\mathrm{g}} - C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \label{eq:mu_pc}\\ \quad \boldsymbol{\mu}'_{\mathrm{pc}} & \equiv & \begin{cases} \hyperlink{JUMP}{J_{\text{JUMP}}}(\boldsymbol{\mu}) & \text{if} \quad w = \text{\small JUMP} \\ \hyperlink{JUMPI}{J_{\text{JUMPI}}}(\boldsymbol{\mu}) & \text{if} \quad w = \text{\small JUMPI} \\ N(\boldsymbol{\mu}_{\mathrm{pc}}, w) & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX: rm{pc}} & \equiv & \begin{cases} ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} \boldsymbol{\mu}'_{\mathbf{m}} & \equiv & \boldsymbol{\mu}_{\mathbf{m}} \\ \boldsymbol{\mu}'_{\mathrm{i}} & \equiv & \boldsymbol{\mu}_{\mathrm{i}} \\ A' & \equiv & A \\ \boldsymbol{\sigma}' & \equiv & \boldsymbol{\sigma}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} B_{\mathrm{t}} & \equiv & B'_{\mathrm{t}} + B_{\mathrm{d}} \\ B' & \equiv & P(B_{\mathrm{H}})\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\lVert B_{\mathbf{U}} \rVert \leqslant 2 \bigwedge_{\mathbf{U} \in B_{\mathbf{U}}} \hyperlink{block_header_validity_function}{V({\mathbf{U}}})\; \wedge \; k({\mathbf{U}}, P(\mathbf{B}_{\mathbf{H}})_{\mathbf{H}}, 6)', rendering as TeX: hbf{U}}} \hyperlink{block_header_validit ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'k(U, H, n) \equiv \begin{cases} \mathit{false} & \text{if} \quad n = 0 \\ s(U, H) &\\ \quad \vee \; k(U, P(H)_{\mathrm{H}}, n - 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\hyperlink{H__g}{B_{\mathrm{H}}}_{\mathrm{g}} = \hyperlink{ell}{\ell}(\hyperlink{R__u}{\mathbf{R})_{\mathrm{u}}}', rendering as TeX: \hyperlink{H__g}{B_{\mathrm{H}}}_{\mathr ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\frac{1}{32}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \\ \nonumber \Omega(B, \boldsymbol{\sigma}) & \equiv & \boldsymbol{\sigma}': \boldsymbol{\sigma}' = \boldsymbol{\sigma} \quad \text{except:} \\ \qquad\boldsymbol{\sigma}'[{\mathbf{B}_{\mathrm{H}}}_{\mathrm{c}}]_{\mathrm{b}} & = & \boldsymbol{\sigma}[{\mathbf{B}_{\mathrm{H}}}_{\mathrm{c}}]_{\mathrm{b}} + \left(1 + \frac{\lVert \mathbf{B}_{\mathbf{U}}\rVert}{32}\right)R_{\mathrm{block}} \\ \\ \nonumber \forall \mathbf{U} \in \mathbf{B}_{\mathbf{U}}: \\ \nonumber \boldsymbol{\sigma}'[\mathbf{U}_{\mathrm{c}}] & = & \begin{cases} \varnothing &\text{if}\ \boldsymbol{\sigma}[\mathbf{U}_{\mathrm{c}}] = \varnothing\ \wedge\ R = 0 \\ \mathbf{a}' &\text{otherwise} \end{cases} \\ \mathbf{a}' &\equiv& (\boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathrm{n}}, \boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathrm{b}} + R, \boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathbf{s}}, \boldsymbol{\sigma}[U_{\mathrm{c}}]_{\mathrm{c}}) \\ R & \equiv & \left(1 + \frac{1}{8} (U_{\mathrm{i}} - {B_{\mathrm{H}}}_{\mathrm{i}})\right) R_{\mathrm{block}}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math 'R_{\mathrm{block}} = 10^{18} \times \begin{cases} 5 &\text{if}\ H_{\mathrm{i}} < F_{\mathrm{Byzantium}} \\ 3 &\text{if}\ F_{\mathrm{Byzantium}} \leqslant H_{\mathrm{i}} < F_{\mathrm{Constantinople}} \\ 2 &\text{if}\ H_{\mathrm{i}} \geqslant F_{\mathrm{Constantinople}} \\ \end{cases} \\', rendering as TeX: \end{cases} \\ ^ unexpected eof expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Gamma(B) \equiv \begin{cases} \boldsymbol{\sigma}_0 & \text{if} \quad P(B_{\mathrm{H}}) = \varnothing \\ \boldsymbol{\sigma}_{\mathrm{i}}: \mathtt{\hyperlink{trie}{TRIE}}(L_{\mathrm{S}}(\boldsymbol{\sigma}_{\mathrm{i}})) = {P(B_{\mathrm{H}})_{\mathrm{H}}}_{\mathrm{r}} & \text{otherwise} \end{cases}', rendering as TeX: \mathtt{\hyperlink{trie}{TRIE}}(L_{\mat ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Phi(B) & \equiv & B': \quad B' = B^* \quad \text{except:} \\ B'_{\mathrm{n}} & = & n: \quad x \leqslant \frac{2^{256}}{\hyperlink{H__d}{H_{\mathrm{d}}}} \\ B'_{\mathrm{m}} & = & m \quad \text{with } (x, m) = \mathtt{PoW}(B^*_{\hyperlink{H_cancel_n}{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }}, n, \mathbf{d}) \\ B^* & \equiv & B \quad \text{except:} \quad {\hyperlink{Transaction_Receipt}{B^*_{\mathrm{r}}}} = \hyperlink{r}{r}(\hyperlink{Pi}{\Pi}(\Gamma(B), B))\end{aligned}', rendering as TeX: \quad x \leqslant \frac{2^{256}}{\hyper ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{sigma_n}{}}{} \boldsymbol{\sigma}[n] = \begin{cases} \hyperlink{Gamma}{\Gamma}(B) & \text{if} \quad n < 0 \\ \hyperlink{Upsilon}{\Upsilon}(\boldsymbol{\sigma}[n - 1], B_{\mathbf{T}}[n]) & \text{otherwise} \end{cases}', rendering as TeX: \Hy@raisedlink{\hypertarget{sigma_n}{}}{ ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\mathbf{R}[n]_{\mathrm{u}} = \begin{cases} 0 & \text{if} \quad n < 0 \\ \begin{array}[b]{l} \Upsilon^g(\boldsymbol{\sigma}[n - 1], B_{\mathbf{T}}[n])\\ \quad + \mathbf{R}[n-1]_{\mathrm{u}} \end{array} & \text{otherwise} \end{cases}', rendering as TeX: \begin{array}[b]{l} ^ unexpected "[" expecting "%", "\\label", "\\nonumber", whitespace, white space or "{" [WARNING] Could not convert TeX math '\hyperlink{Omega}{\Omega}', rendering as TeX: \hyperlink{Omega}{\Omega} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{ell}{\ell}(\boldsymbol{\sigma})', rendering as TeX: \hyperlink{ell}{\ell}(\boldsymbol{\sigma ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Pi(\boldsymbol{\sigma}, B) \equiv \hyperlink{Omega}{\Omega}(B, \ell(\boldsymbol{\sigma}))', rendering as TeX: ) \equiv \hyperlink{Omega}{\Omega}(B, \e ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'm = \hyperlink{H__m}{H_{\mathrm{m}}} \quad \wedge \quad n \leqslant \frac{2^{256}}{\hyperlink{H__d}{H_{\mathrm{d}}}} \quad \text{with} \quad (m, n) = \mathtt{PoW}(\hyperlink{H_cancel_n}{H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }}, H_{\mathrm{n}}, \mathbf{d})', rendering as TeX: m = \hyperlink{H__m}{H_{\mathrm{m}}} \qu ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }', rendering as TeX: H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\hyperlink{J__cacheinit}{J_{\mathrm{cacheinit}}}', rendering as TeX: \hyperlink{J__cacheinit}{J_{\mathrm{cach ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{J__datasetinit}{J_{\mathrm{datasetinit}}}', rendering as TeX: \hyperlink{J__datasetinit}{J_{\mathrm{da ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{J__epoch}{J_{\mathrm{epoch}}}', rendering as TeX: \hyperlink{J__epoch}{J_{\mathrm{epoch}}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \mathbb{T} & \equiv & \mathbb{L} \uplus \mathbb{B} \\ \mathbb{L} & \equiv & \{ \mathbf{t}: \mathbf{t} = ( \mathbf{t}[0], \mathbf{t}[1], ... ) \; \wedge \; \forall n < \lVert \mathbf{t} \rVert : \mathbf{t}[n] \in \mathbb{T} \} \\ \mathbb{B} & \equiv & \{ \mathbf{b}: \mathbf{b} = ( \mathbf{b}[0], \mathbf{b}[1], ... ) \; \wedge \; \forall n < \lVert \mathbf{b} \rVert : \mathbf{b}[n] \in \mathbb{O} \}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\mathtt{RLP}(\mathbf{x}) \equiv \begin{cases} R_{\mathrm{b}}(\mathbf{x}) & \text{if} \quad \mathbf{x} \in \mathbb{B} \\ R_{\mathrm{l}}(\mathbf{x}) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} R_{\mathrm{b}}(\mathbf{x}) & \equiv & \begin{cases} \mathbf{x} & \text{if} \quad \lVert \mathbf{x} \rVert = 1 \wedge \mathbf{x}[0] < 128 \\ (128 + \lVert \mathbf{x} \rVert) \cdot \mathbf{x} & \text{else if} \quad \lVert \mathbf{x} \rVert < 56 \\ \big(183 + \big\lVert \mathtt{BE}(\lVert \mathbf{x} \rVert) \big\rVert \big) \cdot \mathtt{BE}(\lVert \mathbf{x} \rVert) \cdot \mathbf{x} & \text{else if} \quad \lVert \mathbf{x} \rVert < 2^{64} \\ \varnothing & \text{otherwise} \end{cases} \\ \label{eq:BE} \mathtt{BE}(x) & \equiv & (b_0, b_1, ...): b_0 \neq 0 \wedge x = \sum_{n = 0}^{\lVert \mathbf{b} \rVert - 1} b_n \cdot 256^{\lVert \mathbf{b} \rVert - 1 - n} \\ (x_1, ..., x_n) \cdot (y_1, ..., y_m) & = & (x_1, ..., x_n, y_1, ..., y_m)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} R_{\mathrm{l}}(\mathbf{x}) & \equiv & \begin{cases} (192 + \lVert s(\mathbf{x}) \rVert) \cdot s(\mathbf{x}) & \text{if} \quad s(\mathbf{x}) \neq \varnothing \wedge \lVert s(\mathbf{x}) \rVert < 56 \\ \big(247 + \big\lVert \mathtt{BE}(\lVert s(\mathbf{x}) \rVert) \big\rVert \big) \cdot \mathtt{BE}(\lVert s(\mathbf{x}) \rVert) \cdot s(\mathbf{x}) & \text{else if} \quad s(\mathbf{x}) \neq \varnothing \wedge \lVert s(\mathbf{x}) \rVert < 2^{64} \\ \varnothing & \text{otherwise} \end{cases} \\ s(\mathbf{x}) & \equiv & \begin{cases} \mathtt{RLP}(\mathbf{x}[0]) \cdot \mathtt{RLP}(\mathbf{x}[1]) \cdot ... & \text{if} \quad \forall i: \mathtt{RLP}(\mathbf{x}[i]) \neq \varnothing \\ \varnothing & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{HP}(\mathbf{x}, t): \mathbf{x} \in \mathbb{Y} & \equiv & \begin{cases} (16f(t), 16\mathbf{x}[0] + \mathbf{x}[1], 16\mathbf{x}[2] + \mathbf{x}[3], ...) & \text{if} \quad \lVert \mathbf{x} \rVert \; \text{is even} \\ (16(f(t) + 1) + \mathbf{x}[0], 16\mathbf{x}[1] + \mathbf{x}[2], 16\mathbf{x}[3] + \mathbf{x}[4], ...) & \text{otherwise} \end{cases} \\ f(t) & \equiv & \begin{cases} 2 & \text{if} \quad t \neq 0 \\ 0 & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} y(\mathfrak{I}) & = & \{ (\mathbf{k}_0' \in \hyperlink{set_of_sequence_of_nibbles}{\mathbb{Y}}, \mathbf{v}_0 \in \mathbb{B}), (\mathbf{k}_1' \in \mathbb{Y}, \mathbf{v}_1 \in \mathbb{B}), ... \} \\ \forall n: \quad \forall i < 2\lVert\mathbf{k}_{n}\rVert: \quad \mathbf{k}_{n}'[i] & \equiv & \begin{cases} \lfloor \mathbf{k}_{n}[i \div 2] \div 16 \rfloor & \text{if} \; i \; \text{is even} \\ \mathbf{k}_{n}[\lfloor i \div 2 \rfloor] \bmod 16 & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX: (\mathbf{k}_0' \in \hyperlink{set_of_seq ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math 'n(\mathfrak{I}, i) \equiv \begin{cases} () \in \mathbb{B} & \text{if} \quad \mathfrak{I} = \varnothing \\ c(\mathfrak{I}, i) & \text{if} \quad \lVert \, \texttt{RLP} \big( c(\mathfrak{I}, i) \big) \rVert < 32 \\ \texttt{KEC}\big(\texttt{RLP}( c(\mathfrak{I}, i)) \big) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'c(\mathfrak{I}, i) \equiv \begin{cases} \big(\texttt{HP}(I_0[i .. (\lVert I_0\rVert - 1)], 1), I_1 \big) & \text{if} \quad \lVert \mathfrak{I} \rVert = 1 \quad \text{where} \; \exists I: I \in \mathfrak{I} \\ \big(\texttt{HP}(I_0[i .. (j - 1)], 0), n(\mathfrak{I}, j) \big) & \text{if} \quad i \ne j \quad \text{where} \; j = \max \{ x : \exists \mathbf{l}: \lVert \mathbf{l} \rVert = x \wedge \forall I \in \mathfrak{I}: I_0[0 .. (x - 1)] = \mathbf{l} \} \\ (u(0), u(1), ..., u(15), v) & \text{otherwise} \quad \text{where} \begin{array}[t]{rcl} u(j) & \equiv & n(\{ I : I \in \mathfrak{I} \wedge I_0[i] = j \}, i + 1) \\ v & = & \begin{cases} I_1 & \text{if} \quad \exists I: I \in \mathfrak{I} \wedge \lVert I_0 \rVert = i \\ () \in \mathbb{B} & \text{otherwise} \end{cases} \end{array} \end{cases}', rendering as TeX: \quad \text{where} \begin{array}[t]{rcl} ^ unexpected "\\" expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\label{eq:pre} \Xi_{\mathtt{PRE}}(\boldsymbol{\sigma}, g, A, I) \equiv \begin{cases} (\varnothing, 0, A, ()) & \text{if} \quad g < g_{\mathrm{r}} \\ (\boldsymbol\sigma, g - g_{\mathrm{r}}, A, \mathbf{o}) & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{ECREC}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 3000\\ \lVert \mathbf{o} \rVert &=& \begin{cases} \label{eq:ecrec_precompile_validity} 0 & \text{if} \quad v \notin \{27, 28\} \,\vee\, r = 0 \,\vee\, r \ge \mathtt{secp256k1n} \,\vee\, s = 0 \,\vee\, s \ge \mathtt{secp256k1n} \\ 0 & \text{if} \quad \mathtt{ECDSARECOVER}(h, v - 27, r, s) = \varnothing\\ 32 & \text{otherwise} \end{cases}\\ \text{if} \quad \lVert \mathbf{o} \rVert = 32: &&\\ \mathbf{o}[0..11] &=& 0 \\ \mathbf{o}[12..31] &=& \mathtt{KEC}\big(\mathtt{ECDSARECOVER}(h, v - 27, r, s)\big)[12..31] \quad \text{where:}\\ \mathbf{d}[0..(\lVert \hyperlink{I__d}{I_{\mathbf{d}}} \rVert-1)] &=& I_{\mathbf{d}}\\ \mathbf{d}[\lVert I_{\mathbf{d}} \rVert..] &=& (0, 0, ...) \\ h &=& \mathbf{d}[0..31]\\ v &=& \mathbf{d}[32..63]\\ r &=& \mathbf{d}[64..95]\\ s &=& \mathbf{d}[96..127]\end{aligned}', rendering as TeX: .(\lVert \hyperlink{I__d}{I_{\mathbf{d}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{SHA256}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 60 + 12\Big\lceil \dfrac{\lVert I_{\mathbf{d}} \rVert}{32} \Big\rceil\\ \mathbf{o}[0..31] &=& \mathtt{SHA256}(I_{\mathbf{d}})\\ \Xi_{\mathtt{RIP160}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 600 + 120\Big\lceil \dfrac{\lVert I_{\mathbf{d}} \rVert}{32} \Big\rceil\\ \mathbf{o}[0..11] &=& 0 \\ \mathbf{o}[12..31] &=& \mathtt{RIPEMD160}(I_{\mathbf{d}})\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{SHA256}(\mathbf{i} \in \mathbb{B}) & \equiv & o \in \mathbb{B}_{32} \\ \mathtt{RIPEMD160}(\mathbf{i} \in \mathbb{B}) & \equiv & o \in \mathbb{B}_{20}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{ID}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{where:} \\ g_{\mathrm{r}} &=& 15 + 3\Big\lceil \dfrac{\lVert I_{\mathbf{d}} \rVert}{32} \Big\rceil\\ \mathbf{o} &=& I_{\mathbf{d}}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{EXPMOD}} &\equiv& \Xi_{\mathtt{PRE}} \quad \text{except:} \\ g_{\mathrm{r}} &=& \max \left(200, \left\lfloor\frac{f\big(\max(\ell_{\mathrm{M}},\ell_{\mathrm{B}})\big)\max(\ell'_{\mathrm{E}},1)}{G_{\mathrm{quaddivisor}}}\right\rfloor \right) \\ G_{\mathrm{quaddivisor}} &\equiv& 3 \\ f(x) &\equiv& \left\lceil \frac{x}{8} \right\rceil ^2 \\ \ell'_{\mathrm{E}} &=& \begin{cases} 0 & \text{if}\ \ell_{\mathrm{E}}\le 32\wedge E=0 \\ \lfloor \log_2(E)\rfloor &\text{if}\ \ell_{\mathrm{E}}\le 32 \wedge E \neq 0 \\ 8(\ell_{\mathrm{E}} - 32) + \lfloor \log_2(i[(96+\ell_{\mathrm{B}})..(127+\ell_{\mathrm{B}})]) \rfloor & \text{if}\ 32 < \ell_{\mathrm{E}} \wedge i[(96 + \ell_{\mathrm{B}})..(127 + \ell_{\mathrm{B}})]\neq 0 \\ 8(\ell_{\mathrm{E}} - 32) & \text{otherwise} \\ \end{cases} \\ \mathbf{o} &=& \left(B^E\bmod M\right)\in\mathbb{N}_{8\ell_{\mathrm{M}}} \\ \ell_{\mathrm{B}} &\equiv& i[0..31] \\ \ell_{\mathrm{E}} &\equiv& i[32..63] \\ \ell_{\mathrm{M}} &\equiv& i[64..95] \\ B &\equiv& i[96..(95+\ell_{\mathrm{B}})] \\ E &\equiv& i[(96+\ell_{\mathrm{B}})..(95+\ell_{\mathrm{B}}+\ell_{\mathrm{E}})] \\ M &\equiv& i[(96+\ell_{\mathrm{B}}+\ell_{\mathrm{E}})..(95+\ell_{\mathrm{B}}+\ell_{\mathrm{E}}+\ell_{\mathrm{M}})] \\ i[x] &\equiv& \begin{cases} I_{\mathbf{d}}[x] &\text{if}\ x < \lVert I_{\mathbf{d}} \rVert \\ 0 &\text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} p &\equiv& 21888242871839275222246405745257275088696311157297823662689037894645226208583 \\ q &\equiv& 21888242871839275222246405745257275088548364400416034343698204186575808495617\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \label{eq:ec-addition} (X_1, Y_1) + (X_2, Y_2)&\equiv&\begin{cases} (X,Y)&\text{if}\ X_1\neq X_2\\ (0,0)&\text{otherwise} \end{cases}\\ \nonumber \lambda&\equiv&\frac{Y_2-Y_1}{X_2-X_1}\\ \nonumber X&\equiv&\lambda^2-X_1-X_2\\ \nonumber Y&\equiv&\lambda(X_1-X)-Y_1\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \label{eq:ec-doubling} (X_1, Y_1) + (X_2, Y_2)&\equiv&\begin{cases} (X,Y)&\text{if}\ Y_1\neq 0\\ (0,0)&\text{otherwise} \end{cases}\\ \nonumber \lambda&\equiv&\frac{3X_1^2}{2Y_1}\\ \nonumber X&\equiv&\lambda^2-2X_1\\ \nonumber Y&\equiv&\lambda(X_1-X)-Y_1\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\label{eq:ec-scalar-multiplication} n\cdot P\equiv(0,0)+\underbrace{P+\cdots+P}_{n}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} P_2&\equiv& (11559732032986387107991004021392285783925812861821192530917403151452391805634 \times i\\\nonumber &&+ 10857046999023057135944570762232829481370756359578518086990519993285655852781,\\\nonumber && 4082367875863433681332203403145435568316851327593401208105741076214120093531 \times i\\\nonumber &&+ 8495653923123431417604973247489272438418190587263600148770280649306958101930)\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \label{eq:pairing-check} \log_{P_1}(a_1)\times\log_{P_2}(b_1)+\cdots+\log_{P_1}(a_{k})\times\log_{P_2}(b_{k})&\equiv& 1\mod q\\ \prod_{i=0}^{k}e\left(a_i, b_i\right) &=& P_T\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\delta_{\mathrm{p}}(\mathbf{x})\equiv\begin{cases} \mathbf{x}&\text{if}\ \mathbf{x}<p\\ \varnothing&\text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \delta_1(\mathbf{x})&\equiv&\begin{cases} g_1&\text{if}\ g_1\in G_1\\ \varnothing&\text{otherwise} \end{cases}\\ g_1&\equiv&\begin{cases} (x,y)&\text{if}\ x\neq\varnothing\wedge y\neq\varnothing\\ \varnothing&\text{otherwise} \end{cases}\\ x&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[0..31])\\ y&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[32..63])\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \delta_2(\mathbf{x})&\equiv&\begin{cases} g_2&\text{if}\ g_2\in G_2\\ \varnothing&\text{otherwise} \end{cases}\\ g_2&\equiv&\begin{cases} ((x_0i+y_0),(x_1i+y_1))&\text{if}\ x_0\neq\varnothing\wedge y_0\neq\varnothing\wedge x_1\neq\varnothing\wedge y_1\neq\varnothing\\ \varnothing&\text{otherwise} \end{cases}\\ x_0&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[0..31])\\ y_0&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[32..63])\\ x_1&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[64..95])\\ y_1&\equiv&\delta_{\mathrm{p}}(\mathbf{x}[96..127])\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{SNARKV}}&\equiv&\Xi_{\mathtt{PRE}}\quad\text{except:}\\ \qquad\Xi_{\mathtt{SNARKV}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ F\\ F&\equiv&(\lVert I_{\mathbf{d}} \rVert\bmod 192\neq 0\vee(\exists j.\ a_{\mathrm{j}}=\varnothing\vee b_{\mathrm{j}}=\varnothing))\\ k &=& \dfrac{\lVert I_{\mathbf{d}} \rVert}{192} \\ g_{\mathrm{r}}&=& 34000k + 45000 \\ \mathbf{o}[0..31]&\equiv&\begin{cases} 0x0000000000000000000000000000000000000000000000000000000000000001&\text{if}\ v\wedge\neg F\\ 0x0000000000000000000000000000000000000000000000000000000000000000&\text{if}\ \neg v\wedge\neg F \end{cases}\\ v&\equiv&(\log_{P_1}(a_1)\times\log_{P_2}(b_1)+\cdots+\log_{P_1}(a_k)\times\log_{P_2}(b_k)\equiv 1\mod q)\\ a_1&\equiv&\delta_1(I_{\mathbf{d}}[0..63])\\ b_1&\equiv&\delta_2(I_{\mathbf{d}}[64..191])\\\nonumber \vdots\\ a_k&\equiv&\delta_1(I_{\mathbf{d}}[(\lVert I_{\mathbf{d}} \rVert-192)..(\lVert I_{\mathbf{d}} \rVert-129)])\\ b_k&\equiv&\delta_2(I_{\mathbf{d}}[(\lVert I_{\mathbf{d}} \rVert-128)..(\lVert I_{\mathbf{d}} \rVert-1)])\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{BN\_ADD}}&\equiv&\Xi_{\mathtt{BN\_PRE}}\quad\text{except:}\\ \Xi_{\mathtt{BN\_ADD}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ x=\varnothing\vee y=\varnothing\\ g_{\mathrm{r}} &=& 150\\ \mathbf{o}&\equiv&\delta_1^{-1}(x+y)\quad\text{where $+$ is the group operation in $G_1$}\\ x&\equiv&\delta_1\left(\bar I_{\mathbf{d}}[0..63]\right)\\ y&\equiv&\delta_1\left(\bar I_{\mathbf{d}}[64..127]\right)\\ \label{eq:complemented_input}\bar I_{\mathbf{d}}[x]&\equiv&\begin{cases} I_{\mathbf{d}}[x]&\text{if}\ x < \lVert I_{\mathbf{d}} \rVert\\ 0&\text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{BN\_MUL}}&\equiv&\Xi_{\mathtt{PRE}}\quad\text{except:}\\ \Xi_{\mathtt{BN\_MUL}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ x=\varnothing\\ g_{\mathrm{r}} &=& 6000\\ \mathbf{o}&\equiv&\delta_1^{-1}(n\cdot x)\quad\text{where $\cdot$ is the scalar multiplication in $G_1$}\\ x&\equiv&\delta_1\left(\bar I_{\mathbf{d}}[0..63]\right)\\ n&\equiv&\bar I_{\mathbf{d}}[64..95]\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Xi_{\mathtt{BLAKE2\_F}}&\equiv&\Xi_{\mathtt{PRE}}\quad\text{except:}\\ \Xi_{\mathtt{BLAKE2\_F}}(\boldsymbol\sigma,g,A,I)&=&\left(\varnothing,0,A,()\right)\quad\text{if}\ \lVert I_{\mathbf{d}}\rVert \neq 213 \vee f \notin \{0, 1\} \\ g_{\mathrm{r}} &=& r\\ \mathbf{o} &\equiv& \mathtt{LE}_8(h'_0)\cdot ... \cdot \mathtt{LE}_8(h'_7) \\ (h'_0,\dots,h'_7) &\equiv& \mathtt{F}(h, m, t_\mathrm{low}, t_\mathrm{high}, f) \quad\text{with } r \text{ rounds and } w = 64 \\ \mathtt{BE}_4(r) &\equiv& I_{\mathbf{d}}[0..4] \\ \mathtt{LE}_8(h_0) &\equiv& I_{\mathbf{d}}[4..12] \\ &\dots& \\ \mathtt{LE}_8(h_7) &\equiv& I_{\mathbf{d}}[60..68] \\ \mathtt{LE}_8(m_0) &\equiv& I_{\mathbf{d}}[68..76] \\ &\dots& \\ \mathtt{LE}_8(m_{15}) &\equiv& I_{\mathbf{d}}[188..196] \\ \mathtt{LE}_8(t_\mathrm{low}) &\equiv& I_{\mathbf{d}}[196..204] \\ \mathtt{LE}_8(t_\mathrm{high}) &\equiv& I_{\mathbf{d}}[204..212] \\ f &\equiv& I_{\mathbf{d}}[212]\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\mathtt{BE}_k(x) \equiv (b_0, b_1, ..., b_{k-1}): x = \sum_{n = 0}^{k-1} b_n \cdot 256^{k-1-n}', rendering as TeX [WARNING] Could not convert TeX math '\mathtt{LE}_k(x) \equiv (b_0, b_1, ..., b_{k-1}): x = \sum_{n = 0}^{k-1} b_n \cdot 256^n', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{ECDSAPUBKEY}(p_{\mathrm{r}} \in \mathbb{B}_{32}) & \equiv & p_{\mathrm{u}} \in \mathbb{B}_{64} \\ \Hy@raisedlink{\hypertarget{ECDSASIGN}{}}\mathtt{ECDSASIGN}(e \in \mathbb{B}_{32}, p_{\mathrm{r}} \in \mathbb{B}_{32}) & \equiv & (v \in \mathbb{B}_{1}, r \in \mathbb{B}_{32}, s \in \mathbb{B}_{32}) \\ \mathtt{ECDSARECOVER}(e \in \mathbb{B}_{32}, v \in \mathbb{B}_{1}, r \in \mathbb{B}_{32}, s \in \mathbb{B}_{32}) & \equiv & p_{\mathrm{u}} \in \mathbb{B}_{64}\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{ECDSASIGN}{} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} 0 < \Hy@raisedlink{\hypertarget{r}{}}{r} &< \mathtt{secp256k1n} \\ 0 < \Hy@raisedlink{\hypertarget{s}{}}{s} &< \mathtt{secp256k1n} \div 2 + 1 \\ \hyperlink{v}{v} &\in \{0,1\}\end{aligned}', rendering as TeX: 0 < \Hy@raisedlink{\hypertarget{r}{}}{r} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} \mathtt{secp256k1n} &= 115792089237316195423570985008687907852837564279074904382605163141518161494337 %\mathtt{secp256k1p} &= 2^{256} - 2^{32} - 977\\\end{aligned}', rendering as TeX: 977\\\end{aligned} ^ unexpected eof expecting "&", "\\\\", white space or "\\end" [WARNING] Could not convert TeX math '\begin{aligned} L_{\mathrm{X}}(T) & \equiv & \begin{cases} (T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}) & \text{if} \; T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{27, 28\} \\ (T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, \beta, (), ()) & \text{if} \; T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{2\beta + 35, 2\beta + 36\} \\ (T_{\mathrm{c}}, T_{\mathrm{n}}, T_{\mathrm{p}}, T_{\mathrm{g}}, T_{\mathrm{t}}, T_{\mathrm{v}}, \mathbf{p}, T_{\mathbf{A}}) & \text{if} \; T_{\mathrm{x}} = 1 \end{cases} \\ \nonumber \text{where} \\ \nonumber \mathbf{p} & \equiv & \begin{cases} T_{\mathbf{i}} & \text{if}\ T_{\mathrm{t}} = \varnothing \\ T_{\mathbf{d}} & \text{otherwise} \end{cases} \\ h(T) & \equiv & \begin{cases} \mathtt{KEC}( \mathtt{RLP}(L_{\mathrm{X}}(T)) ) & \text{if} \; T_{\mathrm{x}} = 0 \\ \mathtt{KEC}( T_{\mathrm{x}} \cdot \mathtt{RLP}(L_{\mathrm{X}}(T)) ) & \text{otherwise} \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} G(T, p_{\mathrm{r}}) \equiv T \quad \text{except:} \\ (T_{\mathrm{y}}, T_{\mathrm{r}}, T_{\mathrm{s}}) = \mathtt{ECDSASIGN}(h(T), p_{\mathrm{r}})\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} \Hy@raisedlink{\hypertarget{T__r}{}}{T_{\mathrm{r}}} = \hyperlink{r}{r}\\ \Hy@raisedlink{\hypertarget{T__s}{}}{T_{\mathrm{s}}} = \hyperlink{s}{s}\end{aligned}', rendering as TeX: \Hy@raisedlink{\hypertarget{T__r}{}}{T_{ ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{T__w}{T_{\mathrm{w}}}', rendering as TeX: \hyperlink{T__w}{T_{\mathrm{w}}} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '2\hyperlink{chain_id}{\beta} + 35 + T_{\mathrm{y}}', rendering as TeX: 2\hyperlink{chain_id}{\beta} + 35 + T_{\ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\begin{aligned} S(T) &\equiv& \mathcal{B}_{96..255}\big(\mathtt{KEC}\big( \mathtt{ECDSARECOVER}(h(T), v, T_{\mathrm{r}}, T_{\mathrm{s}}) \big) \big) \\ v &\equiv& \begin{cases} T_{\mathrm{w}} - 27 & \text{if} \; T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{27, 28\} \\ (T_{\mathrm{w}}-35) \bmod 2 & \text{if} \ T_{\mathrm{x}} = 0 \land T_{\mathrm{w}} \in \{2\beta + 35, 2\beta + 36\} \\ T_{\mathrm{y}} & \text{if} \ T_{\mathrm{x}} = 1 \end{cases}\end{aligned}', rendering as TeX [WARNING] Could not convert TeX math 'C(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) \equiv C_{\mathrm{mem}}(\boldsymbol{\mu}'_{\mathrm{i}})-C_{\mathrm{mem}}(\boldsymbol{\mu}_{\mathrm{i}}) + \begin{cases} C_\text{\tiny SSTORE}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) & \text{if} \quad w = \text{\small SSTORE} \\ G_{\mathrm{exp}} & \text{if} \quad w = \text{\small EXP} \wedge \boldsymbol{\mu}_{\mathbf{s}}[1] = 0 \\ G_{\mathrm{exp}} + G_{\mathrm{expbyte}}\times(1+\lfloor\log_{256}(\boldsymbol{\mu}_{\mathbf{s}}[1])\rfloor) & \text{if} \quad w = \text{\small EXP} \wedge \boldsymbol{\mu}_{\mathbf{s}}[1] > 0 \\ G_{\mathrm{verylow}} + G_{\mathrm{copy}}\times\lceil\boldsymbol{\mu}_{\mathbf{s}}[2] \div 32\rceil & \text{if} \quad w \in W_{\mathrm{copy}} \\ C_{\mathrm{aaccess}}(\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}, A) + G_{\mathrm{copy}}\times\lceil\boldsymbol{\mu}_{\mathbf{s}}[3] \div 32\rceil & \text{if} \quad w = \text{\small EXTCODECOPY} \\ C_{\mathrm{aaccess}}(\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}, A) & \text{if} \quad w \in W_{\mathrm{extaccount}}\\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1] & \text{if} \quad w = \text{\small LOG0} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG1} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+2G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG2} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+3G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG3} \\ G_{\mathrm{log}}+G_{\mathrm{logdata}}\times\boldsymbol{\mu}_{\mathbf{s}}[1]+4G_{\mathrm{logtopic}} & \text{if} \quad w = \text{\small LOG4} \\ C_\text{\tiny CALL}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) & \text{if} \quad w \in W_{\mathrm{call}} \\ C_\text{\tiny SELFDESTRUCT}(\boldsymbol{\sigma}, \boldsymbol{\mu}) & \text{if} \quad w = \text{\small SELFDESTRUCT} \\ G_{\mathrm{create}} & \text{if} \quad w = \text{\small CREATE}\\ G_{\mathrm{create}}+G_{\mathrm{keccak256word}} \times \lceil \boldsymbol{\mu}_{\mathbf{s}}[2] \div 32 \rceil & \text{if} \quad w = \text{\small \hyperlink{create2}{CREATE2}}\\ G_{\mathrm{keccak256}}+G_{\mathrm{keccak256word}} \times \lceil \boldsymbol{\mu}_{\mathbf{s}}[1] \div 32 \rceil & \text{if} \quad w = \text{\small KECCAK256}\\ G_{\mathrm{jumpdest}} & \text{if} \quad w = \text{\small JUMPDEST}\\ C_\text{\tiny SLOAD}(\boldsymbol{\mu}, A, I) & \text{if} \quad w = \text{\small SLOAD}\\ G_{\mathrm{zero}} & \text{if} \quad w \in W_{\mathrm{zero}}\\ G_{\mathrm{base}} & \text{if} \quad w \in W_{\mathrm{base}}\\ G_{\mathrm{verylow}} & \text{if} \quad w \in W_{\mathrm{verylow}}\\ G_{\mathrm{low}} & \text{if} \quad w \in W_{\mathrm{low}}\\ G_{\mathrm{mid}} & \text{if} \quad w \in W_{\mathrm{mid}}\\ G_{\mathrm{high}} & \text{if} \quad w \in W_{\mathrm{high}}\\ G_{\mathrm{blockhash}} & \text{if} \quad w = \text{\small \hyperlink{blockhash}{BLOCKHASH}}\\ \end{cases}', rendering as TeX: C_\text{\tiny SSTORE}(\boldsymbol{\sigma ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'w \equiv \begin{cases} I_{\mathbf{b}}[\boldsymbol{\mu}_{\mathrm{pc}}] & \text{if} \quad \boldsymbol{\mu}_{\mathrm{pc}} < \lVert I_{\mathbf{b}} \rVert\\ \text{\small STOP} & \text{otherwise} \end{cases}', rendering as TeX: \text{\small STOP} & \text{otherwise} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\mathrm{mem}}(a) \equiv G_{\mathrm{memory}} \cdot a + \left\lfloor \dfrac{a^2}{512} \right\rfloor', rendering as TeX [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{C_aaccess}{}}{}C_{\mathrm{aaccess}}(x, A) \equiv \begin{cases} G_{\mathrm{warmaccess}} & \text{if} \quad x \in \hyperlink{accessed_addresses_defn_words_A__a}{A_{\mathbf{a}}}\\ G_{\mathrm{coldaccountaccess}} & \text{otherwise} \end{cases}', rendering as TeX: \Hy@raisedlink{\hypertarget{C_aaccess}{} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'C_\text{\tiny CALL}', rendering as TeX: C_\text{\tiny CALL} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_\text{\tiny SELFDESTRUCT}', rendering as TeX: C_\text{\tiny SELFDESTRUCT} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_\text{\tiny SLOAD}', rendering as TeX: C_\text{\tiny SLOAD} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_\text{\tiny SSTORE}', rendering as TeX: C_\text{\tiny SSTORE} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'M(s, f, l) \equiv \begin{cases} s & \text{if} \quad l = 0 \\ \max(s, \ceil{ (f + l) \div 32 }) & \text{otherwise} \end{cases}', rendering as TeX: \max(s, \ceil{ (f + l) \div 32 }) & \tex ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\Hy@raisedlink{\hypertarget{L_but_64}{}}{} L(n) \equiv n - \lfloor n / 64 \rfloor', rendering as TeX: \Hy@raisedlink{\hypertarget{L_but_64}{}} ^ unexpected "@" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ \lfloor\boldsymbol{\mu}_{\mathbf{s}}[0] \div \boldsymbol{\mu}_{\mathbf{s}}[1]\rfloor & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ -2^{255} & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] = -2^{255} \wedge \, \boldsymbol{\mu}_{\mathbf{s}}[1] = -1\\ \mathbf{sgn} (\boldsymbol{\mu}_{\mathbf{s}}[0] \div \boldsymbol{\mu}_{\mathbf{s}}[1]) \lfloor |\boldsymbol{\mu}_{\mathbf{s}}[0] \div \boldsymbol{\mu}_{\mathbf{s}}[1]| \rfloor & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ \boldsymbol{\mu}_{\mathbf{s}}[0] \bmod \boldsymbol{\mu}_{\mathbf{s}}[1] & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] = 0\\ \mathbf{sgn} (\boldsymbol{\mu}_{\mathbf{s}}[0]) (|\boldsymbol{\mu}_{\mathbf{s}}[0]| \bmod |\boldsymbol{\mu}_{\mathbf{s}}[1]|) & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] = 0\\ (\boldsymbol{\mu}_{\mathbf{s}}[0] + \boldsymbol{\mu}_{\mathbf{s}}[1]) \bmod \boldsymbol{\mu}_{\mathbf{s}}[2] & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}0 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] = 0\\ (\boldsymbol{\mu}_{\mathbf{s}}[0] \times \boldsymbol{\mu}_{\mathbf{s}}[1]) \bmod \boldsymbol{\mu}_{\mathbf{s}}[2] & \text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in [0..255]: \boldsymbol{\mu}'_{\mathbf{s}}[0]_{\mathrm{i}} \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{s}}[1]_{\mathrm{t}} &\text{if} \quad i \leqslant t \quad \text{where} \; t = 256 - 8(\boldsymbol{\mu}_{\mathbf{s}}[0] + 1) \\ \boldsymbol{\mu}_{\mathbf{s}}[1]_{\mathrm{i}} &\text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] < \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] > \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] < \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] > \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] = \boldsymbol{\mu}_{\mathbf{s}}[1] \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] = 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in [0..255]: \boldsymbol{\mu}'_{\mathbf{s}}[0]_{\mathrm{i}} \equiv \begin{cases} 1 & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0]_{\mathrm{i}} = 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in [0..255]: \boldsymbol{\mu}'_{\mathbf{s}}[0]_{\mathrm{i}} \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{s}}[1]_{(i - 248 + 8\boldsymbol{\mu}_{\mathbf{s}}[0])} & \text{if} \quad i \geq 248 \wedge \boldsymbol{\mu}_{\mathbf{s}}[0] < 32 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases}\boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}]_{\mathrm{b}}& \text{if} \quad \boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}] \neq \varnothing\\0&\text{otherwise}\end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[2] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[0] + i ] \equiv \begin{cases} I_{\mathbf{d}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + i < \lVert I_{\mathbf{d}} \rVert \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[2] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[0] + i ] \equiv \begin{cases} I_{\mathbf{b}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + i < \lVert I_{\mathbf{b}} \rVert \\ \text{\small STOP} & \text{otherwise} \end{cases}', rendering as TeX: }} \rVert \\ \text{\small STOP} & \text{ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} \lVert \mathbf{b} \rVert & \text{if} \quad \boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}] \neq \varnothing \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[3] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i ] \equiv \begin{cases} \mathbf{b}[\boldsymbol{\mu}_{\mathbf{s}}[2] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] + i < \lVert \mathbf{b} \rVert \\ \text{\small STOP} & \text{otherwise} \end{cases}', rendering as TeX: b} \rVert \\ \text{\small STOP} & \text{ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\forall i \in \{ 0 \dots \boldsymbol{\mu}_{\mathbf{s}}[2] - 1\}: \boldsymbol{\mu}'_{\mathbf{m}}[\boldsymbol{\mu}_{\mathbf{s}}[0] + i ] \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{o}}[\boldsymbol{\mu}_{\mathbf{s}}[1] + i] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] + i < \lVert \boldsymbol{\mu}_{\mathbf{o}} \rVert \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{s}}[0] \equiv \begin{cases} 0 & \text{if} \quad \mathtt{DEAD}(\boldsymbol{\sigma}, \boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}) \\ \boldsymbol{\sigma}[\boldsymbol{\mu}_{\mathbf{s}}[0] \bmod 2^{160}]_{\mathrm{c}} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'P(h, n, a) \equiv \begin{cases} 0 & \text{if} \quad n > H_{\mathrm{i}} \vee a = 256 \vee h = 0 \\ h & \text{if} \quad n = H_{\mathrm{i}} \\ P(H_{\mathrm{p}}, n, a + 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{i}} \equiv \max(\boldsymbol{\mu}_{\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{\mathbf{s}}[0] + 32) \div 32 })', rendering as TeX: {\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{i}} \equiv \max(\boldsymbol{\mu}_{\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{\mathbf{s}}[0] + 32) \div 32 })', rendering as TeX: {\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{i}} \equiv \max(\boldsymbol{\mu}_{\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{\mathbf{s}}[0] + 1) \div 32 })', rendering as TeX: {\mathrm{i}}, \ceil{ (\boldsymbol{\mu}_{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'C_{\text{\tiny SLOAD}}(\boldsymbol{\mu}, A, I) \equiv \begin{cases} G_{\mathrm{warmaccess}} & \text{if} \quad (I_{\mathrm{a}}, \boldsymbol{\mu}_{\mathbf{s}}[0]) \in A_{\mathbf{K}} \\ G_{\mathrm{coldsload}} & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny SLOAD}}(\boldsymbol{\mu}, ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny SSTORE}}(\boldsymbol{\sigma}, \boldsymbol{\mu})', rendering as TeX: C_{\text{\tiny SSTORE}}(\boldsymbol{\sig ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\hyperlink{sigma_0}{\boldsymbol{\sigma}_0}', rendering as TeX: \hyperlink{sigma_0}{\boldsymbol{\sigma}_ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\!\begin{aligned} C_{\text{\tiny SSTORE}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A, I) &\equiv \begin{cases} 0 & \text{if} \quad (I_{\mathrm{a}}, \boldsymbol{\mu}_{\mathbf{s}}[0]) \in A_{\mathbf{K}} \\ G_{\mathrm{coldsload}} & \text{otherwise} \\ \end{cases} \\ &+ \begin{cases} G_{\mathrm{warmaccess}} & \text{if} \quad v = v' \; \vee \; v_0 \neq v \\ G_{\mathrm{sset}} & \text{if} \quad v \neq v' \; \wedge \; v_0 = v \; \wedge \; v_0 = 0 \\ G_{\mathrm{sreset}} & \text{if} \quad v \neq v' \; \wedge \; v_0 = v \; \wedge \; v_0 \neq 0 \\ \end{cases} \end{aligned}', rendering as TeX: C_{\text{\tiny SSTORE}}(\boldsymbol{\sig ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'A'_{\mathrm{r}} \equiv A_{\mathrm{r}} + \begin{cases} R_{\mathrm{sclear}} & \text{if} \quad v \neq v' \; \wedge \; v_0 = v \; \wedge \; v' = 0 \\ r_{\text{dirtyclear}} + r_{\text{dirtyreset}} & \text{if} \quad v \neq v' \; \wedge \; v_0 \neq v \\ 0 & \text{otherwise} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'r_{\text{dirtyclear}} \equiv \begin{cases} -R_{\mathrm{sclear}} & \text{if} \quad v_0 \neq 0 \; \wedge \; v = 0 \\ R_{\mathrm{sclear}} & \text{if} \quad v_0 \neq 0 \; \wedge \; v' = 0 \\ 0 & \text{otherwise} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'r_{\text{dirtyreset}} \equiv \begin{cases} G_{\mathrm{sset}} - G_{\mathrm{warmaccess}} & \text{if} \quad v_0 = v' \; \wedge \; v_0 = 0 \\ G_{\mathrm{sreset}} - G_{\mathrm{warmaccess}} & \text{if} \quad v_0 = v' \; \wedge \; v_0 \neq 0 \\ 0 & \text{otherwise} \\ \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'J_{\text{\tiny JUMP}}(\boldsymbol{\mu}) \equiv \boldsymbol{\mu}_{\mathbf{s}}[0]', rendering as TeX: J_{\text{\tiny JUMP}}(\boldsymbol{\mu}) ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'J_{\text{\tiny JUMPI}}(\boldsymbol{\mu}) \equiv \begin{cases} \boldsymbol{\mu}_{\mathbf{s}}[0] & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[1] \neq 0 \\ \boldsymbol{\mu}_{\mathrm{pc}} + 1 & \text{otherwise} \end{cases}', rendering as TeX: J_{\text{\tiny JUMPI}}(\boldsymbol{\mu}) ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\text{where} \quad c(x) \equiv \begin{cases} I_{\mathbf{b}}[x] & \text{if} \quad x < \lVert I_{\mathbf{b}} \rVert \\ 0 & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\hyperlink{salt}{\zeta} \equiv \varnothing', rendering as TeX: \hyperlink{salt}{\zeta} \equiv \varnothi ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', z, \mathbf{o}) \equiv \begin{cases} \hyperlink{lambda}{\Lambda}(\boldsymbol{\sigma}^*, A, I_{\mathrm{a}}, I_{\mathrm{o}}, L(\boldsymbol{\mu}_{\mathrm{g}}), I_{\mathrm{p}}, \boldsymbol{\mu}_{\mathbf{s}}[0], \mathbf{i}, I_{\mathrm{e}} + 1, \zeta, I_{\mathrm{w}}) & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[0] \leqslant \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \; \\ \quad &\wedge\; I_{\mathrm{e}} < 1024\\ \big(\boldsymbol{\sigma}, L(\boldsymbol{\mu}_{\mathrm{g}}), A, 0, () \big) & \text{otherwise} \end{cases}', rendering as TeX: \hyperlink{lambda}{\Lambda}(\boldsymbol{ ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{g}} \equiv \boldsymbol{\mu}_{\mathrm{g}} - \hyperlink{L_but_64}{L}(\boldsymbol{\mu}_{\mathrm{g}}) + g'', rendering as TeX: rm{g}} - \hyperlink{L_but_64}{L}(\boldsy ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathbf{o}} \equiv \begin{cases} () & \text{if} \quad z = 1 \\ \mathbf{o} & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', x, \mathbf{o}) \equiv \begin{cases} \begin{array}{l}\hyperlink{theta}{\Theta}(\boldsymbol{\sigma}, A^*, I_{\mathrm{a}}, I_{\mathrm{o}}, t, t, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A),\\ \quad I_{\mathrm{p}}, \boldsymbol{\mu}_{\mathbf{s}}[2], \boldsymbol{\mu}_{\mathbf{s}}[2], \mathbf{i}, I_{\mathrm{e}} + 1, I_{\mathrm{w}})\end{array} & \begin{array}{l}\text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \leqslant \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \;\wedge \\ \quad\quad I_{\mathrm{e}} < 1024\end{array}\\ (\boldsymbol{\sigma}, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), A, 0, ()) & \text{otherwise} \end{cases}', rendering as TeX: array}{l}\hyperlink{theta}{\Theta}(\bold ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\boldsymbol{\mu}'_{\mathrm{g}} \equiv \boldsymbol{\mu}_{\mathrm{g}} - C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A) + g'', rendering as TeX: hrm{g}} - C_{\text{\tiny CALLGAS}}(\bold ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny CALL}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) + C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A)', rendering as TeX: C_{\text{\tiny CALL}}(\boldsymbol{\sigma ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv \begin{cases} C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) + G_{\mathrm{callstipend}} & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \\ C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny CALLGAS}}(\boldsymbol{\si ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny GASCAP}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv \begin{cases} \min\{ \hyperlink{L_but_64}{L}(\boldsymbol{\mu}_{\mathrm{g}} - C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A)), \boldsymbol{\mu}_{\mathbf{s}}[0] \} & \text{if} \quad \boldsymbol{\mu}_{\mathrm{g}} \ge C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A)\\ \boldsymbol{\mu}_{\mathbf{s}}[0] & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny GASCAP}}(\boldsymbol{\sig ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny EXTRA}}(\boldsymbol{\sigma}, \boldsymbol{\mu}, A) \equiv \hyperlink{C_aaccess}{C_{\mathrm{aaccess}}}(t, A) + C_{\text{\tiny XFER}}(\boldsymbol{\mu}) + C_{\text{\tiny NEW}}(\boldsymbol{\sigma}, \boldsymbol{\mu})', rendering as TeX: C_{\text{\tiny EXTRA}}(\boldsymbol{\sigm ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny XFER}}(\boldsymbol{\mu}) \equiv \begin{cases} G_{\mathrm{callvalue}} & \text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny XFER}}(\boldsymbol{\mu}) ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'C_{\text{\tiny NEW}}(\boldsymbol{\sigma}, \boldsymbol{\mu}) \equiv \begin{cases} G_{\mathrm{newaccount}} & \text{if} \quad \mathtt{DEAD}(\boldsymbol{\sigma}, t) \wedge \boldsymbol{\mu}_{\mathbf{s}}[2] \neq 0 \\ 0 & \text{otherwise} \end{cases}', rendering as TeX: C_{\text{\tiny NEW}}(\boldsymbol{\sigma} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', x, \mathbf{o}) \equiv \begin{cases}\begin{array}{l}\Theta(\boldsymbol{\sigma}, A^*, I_{\mathrm{a}}, I_{\mathrm{o}}, I_{\mathrm{a}}, t, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), \\ \quad I_{\mathrm{p}}, \boldsymbol{\mu}_{\mathbf{s}}[2], \boldsymbol{\mu}_{\mathbf{s}}[2], \mathbf{i}, I_{\mathrm{e}} + 1, I_{\mathrm{w}})\end{array} & \begin{array}{l}\text{if} \quad \boldsymbol{\mu}_{\mathbf{s}}[2] \leqslant \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \;\wedge\\ \quad\quad{}I_{\mathrm{e}} < 1024\end{array} \\ (\boldsymbol{\sigma}, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), A, 0, ()) & \text{otherwise} \end{cases}', rendering as TeX: m{a}}, t, C_{\text{\tiny CALLGAS}}(\bold ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}', rendering as TeX: \hyperlink{theta}{\Theta} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'H_{\text{\tiny RETURN}}(\boldsymbol{\mu}) \equiv \boldsymbol{\mu}_{\mathbf{m}}[ \boldsymbol{\mu}_{\mathbf{s}}[0] \dots ( \boldsymbol{\mu}_{\mathbf{s}}[0] + \boldsymbol{\mu}_{\mathbf{s}}[1] - 1 ) ]', rendering as TeX: H_{\text{\tiny RETURN}}(\boldsymbol{\mu} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '(\boldsymbol{\sigma}', g', A', x, \mathbf{o}) \equiv \begin{cases}\begin{array}{l}\Theta(\boldsymbol{\sigma}, A^*, I_{\mathrm{s}}, I_{\mathrm{o}}, I_{\mathrm{a}}, t, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), \\\quad I_{\mathrm{p}}, 0, I_{\mathrm{v}}, \mathbf{i}, I_{\mathrm{e}} + 1, I_{\mathrm{w}})\end{array} & \text{if} \quad I_{\mathrm{e}} < 1024 \\ (\boldsymbol{\sigma}, C_{\text{\tiny CALLGAS}}(\boldsymbol{\sigma},\boldsymbol{\mu},A), A, 0, ()) & \text{otherwise} \end{cases}', rendering as TeX: m{a}}, t, C_{\text{\tiny CALLGAS}}(\bold ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}', rendering as TeX: \hyperlink{theta}{\Theta} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math '\hyperlink{theta}{\Theta}', rendering as TeX: \hyperlink{theta}{\Theta} ^ unexpected "{" expecting "%", "\\label", "\\nonumber" or whitespace [WARNING] Could not convert TeX math 'H_{\text{\tiny RETURN}}(\boldsymbol{\mu}) \equiv \boldsymbol{\mu}_{\mathbf{m}}[ \boldsymbol{\mu}_{\mathbf{s}}[0] \dots ( \boldsymbol{\mu}_{\mathbf{s}}[0] + \boldsymbol{\mu}_{\mathbf{s}}[1] - 1 ) ]', rendering as TeX: H_{\text{\tiny RETURN}}(\boldsymbol{\mu} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\boldsymbol{\sigma}'[r] \equiv \begin{cases} \varnothing &\text{if}\quad \boldsymbol{\sigma}[r] = \varnothing\ \wedge\ \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} = 0\\ (\boldsymbol{\sigma}[r]_{\mathrm{n}}, \boldsymbol{\sigma}[r]_{\mathrm{b}} + \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}}, \boldsymbol{\sigma}[r]_{\mathbf{s}}, \boldsymbol{\sigma}[r]_{\mathrm{c}}) & \text{if}\quad r \neq I_{\mathrm{a}} \\ (\boldsymbol{\sigma}[r]_{\mathrm{n}}, 0, \boldsymbol{\sigma}[r]_{\mathbf{s}}, \boldsymbol{\sigma}[r]_{\mathrm{c}}) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\begin{aligned} C_{\text{\tiny SELFDESTRUCT}}(\boldsymbol{\sigma}, \boldsymbol{\mu}) &\equiv G_{\mathrm{selfdestruct}} + \begin{cases} 0 & \text{if}\quad r \in \hyperlink{accessed_addresses_defn_words_A__a}{A_{\mathbf{a}}}\\ G_{\mathrm{coldaccountaccess}} & \text{otherwise} \end{cases}\\ &+ \begin{cases} G_{\mathrm{newaccount}} & \text{if}\quad \mathtt{DEAD}(\boldsymbol{\sigma}, r) \wedge \boldsymbol{\sigma}[I_{\mathrm{a}}]_{\mathrm{b}} \neq 0 \\ 0 & \text{otherwise} \end{cases} \end{aligned}', rendering as TeX: C_{\text{\tiny SELFDESTRUCT}}(\boldsymbo ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{epoch}}(H_{\mathrm{i}}) = \left\lfloor\frac{H_{\mathrm{i}}}{J_{\mathrm{epoch}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{prime}}(x, y) = \begin{cases} x & \text{if} \quad x / y \in \mathbb{N} \\ E_{\mathrm{prime}}(x - 2 \cdot y, y) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'C_{\mathrm{seedhash}}(H_{\mathrm{i}}) = \begin{cases} \mathbf{0}_{32} & \text{if} \quad E_{\mathrm{epoch}}(H_{\mathrm{i}}) = 0 \quad \\ \texttt{KEC}(C_{\mathrm{seedhash}}(H_{\mathrm{i}} - J_{\mathrm{epoch}})) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math '\mathbf{c}_{i} = \begin{cases} \texttt{KEC512}(\mathbf{s}) & \text{if} \quad i = 0 \quad \\ \texttt{KEC512}(\mathbf{c}_{i-1}) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'n = \left\lfloor\frac{c_{\mathrm{size}}}{J_{\mathrm{hashbytes}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{cacherounds}}(\mathbf{x}, y) = \begin{cases} \mathbf{x} & \text{if} \quad y = 0 \quad \\ E_\text{\tiny RMH}(\mathbf{x}) & \text{if} \quad y = 1 \quad \\ E_{\mathrm{cacherounds}}(E_\text{\tiny RMH}(\mathbf{x}), y -1 ) & \text{otherwise} \end{cases}', rendering as TeX: E_\text{\tiny RMH}(\mathbf{x}) & \text{i ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_\text{\tiny RMH}(\mathbf{x}) = \big( E_{\mathrm{rmh}}(\mathbf{x}, 0), E_{\mathrm{rmh}}(\mathbf{x}, 1), ... , E_{\mathrm{rmh}}(\mathbf{x}, n - 1) \big)\Hy@raisedlink{\hypertarget{E__cacherounds}{}}{}', rendering as TeX: E_\text{\tiny RMH}(\mathbf{x}) = \big( E ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\begin{gathered} E_{\mathrm{rmh}}(\mathbf{x}, i) = \texttt{KEC512}(\mathbf{x'}[(i - 1 + n) \bmod n] \oplus \mathbf{x'}[\mathbf{x'}[i][0] \bmod n]) \\ \text{with} \quad \mathbf{x'} = \mathbf{x} \quad \text{except} \quad \mathbf{x'}[j] = E_{\mathrm{rmh}}(\mathbf{x}, j) \quad \forall \quad j < i\end{gathered}', rendering as TeX [WARNING] Could not convert TeX math '\mathbf{d}[i] = E_{\mathrm{datasetitem}}(\mathbf{c}, i) \quad \forall \quad i < \left\lfloor\frac{d_{\mathrm{size}}}{J_{\mathrm{hashbytes}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_\text{\tiny FNV}(\mathbf{x}, \mathbf{y}) = (\mathbf{x} \cdot (\mathrm{0x01000193} \oplus \mathbf{y})) \bmod 2^{32}', rendering as TeX: E_\text{\tiny FNV}(\mathbf{x}, \mathbf{y ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{parents}}(\mathbf{c}, i, p, \mathbf{m}) = \begin{cases} E_{\mathrm{parents}}(\mathbf{c}, i, p +1, E_{\mathrm{mix}}(\mathbf{m}, \mathbf{c}, i, p + 1)) & \text{if} \quad p < J_{\mathrm{parents}} -2 \\ E_{\mathrm{mix}}(\mathbf{m}, \mathbf{c}, i, p + 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{mix}}(\mathbf{m}, \mathbf{c}, i, p) = \begin{cases} \texttt{KEC512}(\mathbf{c}[i \bmod c_\mathrm{{size}}] \oplus i) & \text{if} \quad p = 0 \\ E_\text{\tiny FNV}\big(\mathbf{m}, \mathbf{c}[E_\text{\tiny FNV}(i \oplus p, \mathbf{m}[p \bmod \lfloor J_{\mathrm{hashbytes}} / J_{\mathrm{wordbytes}} \rfloor]) \bmod c_{\mathrm{size}}] \big) & \text{otherwise} \end{cases}', rendering as TeX: E_\text{\tiny FNV}\big(\mathbf{m}, \math ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_\text{\tiny FNV}', rendering as TeX: E_\text{\tiny FNV} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math '\mathtt{PoW}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }, H_{\mathrm{n}}, \mathbf{d}) = \lbrace \mathbf{m}_{\mathrm{c}}(\mathtt{KEC}(\mathtt{RLP}(L_{\mathrm{H}}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }))), H_{\mathrm{n}}, \mathbf{d}), \texttt{KEC}(\mathbf{s}_{\mathrm{h}}(\mathtt{KEC}(\mathtt{RLP}(L_{\mathrm{H}}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }))), H_{\mathrm{n}}) + \mathbf{m}_{\mathrm{c}}(\mathtt{KEC}(\mathtt{RLP}(L_{\mathrm{H}}(H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }))), H_{\mathrm{n}}, \mathbf{d})) \rbrace', rendering as TeX: \mathtt{PoW}(H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math 'H_{% \tikz[baseline=(tocancel.base)]{ \node[inner sep=0pt,outer sep=0pt] (tocancel) {n}; \draw[black] (tocancel.south west) -- (tocancel.north east); }% }', rendering as TeX: H_{% ^ unexpected "%" expecting white space, "\\bangle", "\\brace", "\\brack", "\\choose", "\\displaystyle", "{", letter, digit, ".", "\\mbox", "\\text", "\\textbf", "\\textit", "\\textrm", "\\textsf", "\\texttt", "\\bm", "\\boldsymbol", "\\mathbb", "\\mathbf", "\\mathbfcal", "\\mathbffrak", "\\mathbfit", "\\mathbfscr", "\\mathbfsfit", "\\mathbfsfup", "\\mathbfup", "\\mathbold", "\\mathcal", "\\mathds", "\\mathfrak", "\\mathit", "\\mathrm", "\\mathscr", "\\mathsf", "\\mathsfit", "\\mathsfup", "\\mathtt", "\\mathup", "\\pmb", "\\symbf", "\\texttt", "\\sqrt", "\\surd", "\\mspace", "\\hspace", "\\mathop", "\\mathrel", "\\mathbin", "\\mathord", "\\mathopen", "\\mathclose", "\\mathpunct", "\\phantom", "\\boxed", "\\overset", "\\stackrel", "\\underset", "\\frac", "\\tfrac", "\\dfrac", "\\binom", "\\genfrac", "\\substack", "_", "^", "\\begin", "\\ensuremath", "\\bigg", "\\Bigg", "\\big", "\\Big", "\\biggr", "\\Biggr", "\\bigr", "\\Bigr", "\\biggl", "\\Biggl", "\\bigl", "\\", "\\left", "\\not", "!", "'", "''", "'''", "''''", "*", "+", ",", "-", ".", "/", ":", ":=", ";", "<", "=", ">", "?", "@", "~", "\\operatorname" or "}" [WARNING] Could not convert TeX math '\mathbf{m}_{\mathrm{c}}(\mathbf{h}, \mathbf{n}, \mathbf{d}) = E_{\mathrm{compress}}(E_{\mathrm{accesses}}(\mathbf{d}, \sum_{i = 0}^{n_{\mathrm{mix}}} \mathbf{s}_{\mathrm{h}}(\mathbf{h}, \mathbf{n}), \mathbf{s}_{\mathrm{h}}(\mathbf{h}, \mathbf{n}), -1), -4)', rendering as TeX [WARNING] Could not convert TeX math 'n_{\mathrm{mix}} = \left\lfloor\frac{J_{\mathrm{mixbytes}}}{J_{\mathrm{hashbytes}}}\right\rfloor', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{accesses}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i) = \begin{cases} E_{\mathrm{mixdataset}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i) & \text{if} \quad i = J_{\mathrm{accesses}} -2 \\ E_{\mathrm{accesses}}(E_{\mathrm{mixdataset}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i), \mathbf{s}, i + 1) & \text{otherwise} \end{cases}', rendering as TeX [WARNING] Could not convert TeX math 'E_{\mathrm{mixdataset}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i) = E_\text{\tiny FNV}(\mathbf{m}, E_{\mathrm{newdata}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i))', rendering as TeX: f{s}, i) = E_\text{\tiny FNV}(\mathbf{m} ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{newdata}}(\mathbf{d}, \mathbf{m}, \mathbf{s}, i)[j] = \mathbf{d}[E_\text{\tiny FNV}(i \oplus \mathbf{s}[0], \mathbf{m}[i \bmod \left\lfloor\frac{J_{\mathrm{mixbytes}}}{J_{\mathrm{wordbytes}}}\right\rfloor]) \bmod \left\lfloor\frac{d_{\mathrm{size}} / J_{\mathrm{hashbytes}}}{n_{\mathrm{mix}}}\right\rfloor \cdot n_{\mathrm{mix}} + j] \quad \forall \quad j < n_{\mathrm{mix}}', rendering as TeX: \mathbf{d}[E_\text{\tiny FNV}(i \oplus \ ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\[" [WARNING] Could not convert TeX math 'E_{\mathrm{compress}}(\mathbf{m}, i) = \begin{cases} \mathbf{m} & \text{if} \quad i \geqslant \lVert \mathbf{m} \rVert - 8 \\ E_{\mathrm{compress}}(E_\text{\tiny FNV}(E_\text{\tiny FNV}(E_\text{\tiny FNV}(\mathbf{m}[i + 4], \mathbf{m}[i + 5]), \mathbf{m}[i + 6]), \mathbf{m}[i + 7]), i + 8) & \text{otherwise} \end{cases}', rendering as TeX: compress}}(E_\text{\tiny FNV}(E_\text{\t ^ unexpected "\\" expecting "}", text, "{", "$", "$$", "\\(" or "\\["