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Any thoughts how I can numbers to section titles in tufte-handouts? I have tried the solutions suggested here, but they don't seem to work for this template.

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Setting the secnumdepth counter to your desired level should do the trick:

\documentclass{tufte-handout}

% Turn on numbering for section and subsection headings
\setcounter{secnumdepth}{2}

% Provide dummy text
\usepackage{blindtext}

% Temporarily work around Tufte-LaTeX's lack of \subsubsection
\let\subsubsection\subsection

\begin{document}

\Blinddocument

\end{document}
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