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@@ -1517,6 +1517,18 @@ constructed by continuing the series for individual thimbles to higher powers
in $\beta$, which would be equivalent to allowing non-constant terms in the
Jacobian over the thimble.
+\begin{figure}
+ \hfill\includegraphics{figs/obuchi_3-spin.pdf}
+ \caption{
+ Phases of the 3-spin model in the complex-$\beta$, following Obuchi \&
+ Takahashi \cite{Obuchi_2012_Partition-function}. The phase P2 contains a
+ nonzero density of zeros of the partition function, while the `spin-glass'
+ phase SG does not. Analytic continuation via thimbles correctly predicts
+ the boundary between these two phases when $|\beta|\gg1$ to be
+ $\operatorname{Re}\beta=-\epsilon_0$, shown with a dashed line.
+ } \label{fig:obuchi_3-spin}
+\end{figure}
+
\section{The $p$-spin spherical models: numerics}