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\hypersetup{pdftitle={An N\textasciicircum(-7/10) Bound for the Finite-Size Bias of the Sherrington-Kirkpatrick Free Energy},pdfauthor={P. M. Aronow and Patrick Lopatto}}
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\begin{document}
\frontmatter
\npptitlepage{An $N^{-7/10}$ Bound for the\\ Finite-Size Bias of the\\ Sherrington--Kirkpatrick\\ Free Energy}{P.\ M.\ Aronow\\ Patrick Lopatto}
\begin{authorsnote}
With the exception of this note and small edits to the abstract, the entire
document is machine written. We have taken care to supervise this writing to
ensure that the proofs meet a minimum standard of readability and that
previous literature is appropriately cited. However, the resulting document
remains lacking in exposition and overall coherence. We are nonetheless
releasing this manuscript on Hexagon to disseminate the result as quickly as
possible, because we believe it may be of interest to the mathematics and
physics communities. We welcome suggestions concerning mathematical
corrections, omitted citations, and attribution of ideas.

P.L.\ was partially supported by NSF grant DMS-2450004.
\end{authorsnote}
\begin{abstractpage}
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\tableofcontents
\mainmatter

\input{sections/01-intro}
\input{sections/02-overview}

\part{The interpolation}\label{part:interpolation}
\input{sections/03-interpolation}
\input{sections/04-gaussian}

\part{Overlap estimates at a minimizer}\label{part:overlap}
\input{sections/05-shells}
\input{sections/06-meancov}

\part{The minimizing profile and the scalar response}\label{part:profile}
\input{sections/07-isolation}
\input{sections/08-root}
\input{sections/09-scalar}

\part{The cavity contraction}\label{part:cavity}
\input{sections/10-cavity}
\input{sections/11-endpoint}
\input{sections/12-closure}

\part{Proof of the main theorem}\label{part:proof}
\input{sections/13-proof}

\backmatter

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