From 6c639ce6b3d27af70e98b0bc7326b03e16fc8a2b Mon Sep 17 00:00:00 2001
From: jps6 <jps6@cornell.edu>
Date: Thu, 28 Oct 2021 11:02:41 +0000
Subject: Update on Overleaf.

---
 ising_scaling.tex | 8 +++++---
 1 file changed, 5 insertions(+), 3 deletions(-)

(limited to 'ising_scaling.tex')

diff --git a/ising_scaling.tex b/ising_scaling.tex
index fb697d8..312958f 100644
--- a/ising_scaling.tex
+++ b/ising_scaling.tex
@@ -46,8 +46,10 @@ linkcolor=purple
   the low- and high-temperature zero-field limits fixes the parametric
   coordinate transformation. For the two-dimensional Ising model, we show that
   this procedure converges exponentially with the order to which the series are
-  matched, up to  We speculate that with appropriately modified parametric
-  coordinates, the method might also converge deep in the metastable phase.
+  matched, up to seven digits of accuracy. 
+  To facilitate use, we provide Python and Mathematica implementations of the code at both lowest order (four digit) and high order (seven digit) accuracy.
+  We speculate that with appropriately modified parametric
+  coordinates, the method may converge even deep into the metastable phase.
 \end{abstract}
 
 \maketitle
@@ -98,7 +100,7 @@ With six derivatives, it is accurate to about $10^{-7}$. We hope that with some
 refinement, this idea might be used to establish accurate scaling functions for
 critical behavior in other universality classes, doing for scaling functions
 what advances in conformal bootstrap did for critical exponents
-\cite{Gliozzi_2014_Critical}.
+\cite{Gliozzi_2014_Critical}. Mathematica and Python implementations will be provided in the supplemental material.
 
 \section{Universal scaling functions}
 
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