Hypertargets lines 400–499

Paper.tex

@@ -411,7 +411,6 @@ \subsubsection{Holistic Validity}
 H_b &\equiv& \bigvee_{\mathbf{r} \in B_\mathbf{R}} \big( \mathbf{r}_b \big)
 \end{array}
 \end{equation}
-
 where $p(k, v)$ is simply the pairwise RLP transformation, in this case, the first being the index of the transaction in the block and the second being the transaction receipt:
 \begin{equation}
 p(k, v) \equiv \big( \mathtt{\small RLP}(k), \mathtt{\small RLP}(v) \big)
@@ -434,7 +433,7 @@ \subsubsection{Serialisation}
 \quad L_B(B) & \equiv & \big( L_H(B_H), L_T^*(B_\mathbf{T}), L_H^*(B_\mathbf{U}) \big)
 \end{eqnarray}
 
-With $L_T^*$ and $L_H^*$ being element-wise sequence transformations, thus:
+\hypertarget{general_element_wise_sequence_transformation_f_pow_asterisk}{}With $L_T^*$ and $L_H^*$ being element-wise sequence transformations, thus:
 \begin{equation}
 f^*\big( (x_0, x_1, ...) \big) \equiv \big( f(x_0), f(x_1), ... \big) \quad \text{for any function} \; f
 \end{equation}
@@ -474,7 +473,7 @@ \subsubsection{Block Header Validity}
 \newcommand{\expdiffsymb}{\ensuremath{\epsilon}}
 \newcommand{\diffadjustment}{x}
 
-The canonical difficulty of a block of header $H$ is defined as $D(H)$:
+\hypertarget{block_difficulty_H__d}{}The canonical difficulty of a block of header $H$ is defined as $D(H)$:
 \begin{equation}
 D(H) \equiv \begin{dcases}
 \mindifficulty & \text{if} \quad H_i = 0\\
@@ -504,14 +503,14 @@ \subsubsection{Block Header Validity}
 
 Note that $\mindifficulty$ is the difficulty of the genesis block. The \textit{Homestead} difficulty parameter, $\homesteadmod$, is used to affect a dynamic homeostasis of time between blocks, as the time between blocks varies, as discussed below, as implemented in EIP-2 \cite{EIP-2}. In the Homestead release, the exponential difficulty symbol, $\expdiffsymb$ causes the difficulty to slowly increase (every 100,000 blocks) at an exponential rate, and thus increasing the block time difference, and putting time pressure on transitioning to proof-of-stake. This effect, known as the "difficulty bomb", or "ice age", was explained in EIP-649 \cite{EIP-649} and delayed and implemented earlier in EIP-2 \cite{EIP-2}. $\homesteadmod$ was also modified in EIP-100 with the use of $x$, the adjustment factor above, and the demoninator 9, in order to target the mean block time including uncle blocks \cite{EIP-100}. Finally, in the Byzantium release, with EIP-649, the ice age was delayed by creating a fake block number, $H'_i$, which is obtained by substracting three million from the actual block number, which in other words reduced $\expdiffsymb$ and the time difference between blocks, in order to allow more time to develop proof-of-stake and preventing the network from "freezing" up.
 
-The canonical gas limit $H_l$ of a block of header $H$ must fulfil the relation:
+\hypertarget{block_gas_limit_H__l}{}The canonical gas limit $H_l$ of a block of header $H$ must fulfil the relation:
 \begin{eqnarray}
 & & H_l < {P(H)_H}_l + \left\lfloor\frac{{P(H)_H}_l}{1024}\right\rfloor \quad \wedge \\
 & & H_l > {P(H)_H}_l - \left\lfloor\frac{{P(H)_H}_l}{1024}\right\rfloor \quad \wedge \\
 & & H_l \geqslant 5000
 \end{eqnarray}
 
-$H_s$ is the timestamp of block $H$ and must fulfil the relation:
+$H_s$ is the timestamp (in Unix time) of block $H$ at the block's inception, and must fulfil the relation:
 \begin{equation}
 H_s > {P(H)_H}_s
 \end{equation}