From 6b89a6d61852b9510dbec1509f0f7feedd526f93 Mon Sep 17 00:00:00 2001
From: Daira Hopwood <daira@jacaranda.org>
Date: Sat, 25 Feb 2017 06:25:53 +0000
Subject: [PATCH] Pagination.

Signed-off-by: Daira Hopwood <daira@jacaranda.org>
---
 protocol/protocol.tex | 13 +++++++------
 1 file changed, 7 insertions(+), 6 deletions(-)

diff --git a/protocol/protocol.tex b/protocol/protocol.tex
index fbe37ab..22ad896 100644
--- a/protocol/protocol.tex
+++ b/protocol/protocol.tex
@@ -119,6 +119,7 @@ electronic commerce and payment, financial privacy, proof of work, zero knowledg
 \newcommand{\nsubsubsection}[1]{\subsubsection{\nstrut{#1}}}
 
 \newcommand{\introlist}{\needspace{15ex}}
+\newcommand{\introsection}{\needspace{30ex}}
 
 \mathchardef\mhyphen="2D
 
@@ -1064,7 +1065,7 @@ an adversary would have to know $\TransmitPublic$ in order to exploit a
 hypothetical weakness in that cryptosystem.
 }
 
-\needspace{20ex}
+\introsection
 \nsubsection{\Notes}
 
 A \note (denoted $\NoteTuple{}$) is a tuple $\changed{(\AuthPublic, \Value,
@@ -1889,9 +1890,9 @@ into the \blockchain, appends to the \noteCommitmentTree with all constituent
 \nullifierSet of the associated \treestate. A \transaction is not valid if it
 attempts to add a \nullifier to the \nullifierSet that already exists in the set.
 
+\introsection
 \nsubsection{\JoinSplitStatement} \label{jsstatement}
 
-\introlist
 A valid instance of $\JoinSplitProof$ assures that given a \term{primary input}:
 
 \begin{formulae}
@@ -2285,7 +2286,7 @@ the number of calls to $\BlakeGeneric$ can be reduced by a factor of $\floor{\fr
 in the best case (which is a factor of 2 for $n = 200$).
 }
 
-\introlist
+\introsection
 \nsubsubsection{\PseudoRandomFunctions} \label{concreteprfs}
 
 The \changed{four} independent PRFs described in \crossref{abstractprfs} are
@@ -2995,7 +2996,7 @@ These parameters were obtained by a multi-party computation described in
 \cite{GitHub-mpc} and \cite{BGG2016}.
 
 
-\needspace{30ex}
+\introsection
 \nsection{Consensus Changes from \Bitcoin}
 
 \nsubsection{Encoding of \Transactions} \label{txnencoding}
@@ -3501,7 +3502,7 @@ $\MaxBlockSubsidy$, and $\FoundersFraction$ are instantiated in \crossref{consta
   \item $\MinerSubsidy(\BlockHeight) := \BlockSubsidy(\BlockHeight) - \FoundersReward(\BlockHeight)$.
 \end{formulae}
 
-\needspace{18ex}
+\introsection
 \nsubsection{Payment of Founders' Reward} \label{foundersreward}
 
 The \foundersReward is paid by a \transparent output in the \coinbaseTransaction, to
@@ -3664,7 +3665,7 @@ and would require an RFC in order to do so.)
 \end{comment}
 
 
-\needspace{18ex}
+\introsection
 \nsection{Differences from the Zerocash paper} \label{differences}
 
 \nsubsection{Transaction Structure} \label{trstructure}