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\documentclass[tikz]{standalone}
\usepackage[permutation,huge,neon]{causets}
\usetikzlibrary{fit,shapes.geometric}
\begin{document}
\begin{tikzpicture}
\begin{scope}[xshift=3cm, yshift=-1cm]
\drawpcauset{5,2,7,3,6,1,4}
\draw[red, double] (0, 0) circle[radius=0.1];
\end{scope}
\node[draw=blue, inner sep=1pt, thick, ellipse, fit=(E4) (E6) (E7)] (Finf) {};
\node[draw=blue] (FinfLabel) at (6.5, -0.5) {future infinity};
\node[draw=red] (centerLabel) at (0.5, -0.5) {center};
\node[draw=green!50!black] (myEventLabel) at (5.5, -2.5) {event (E2)};
\draw[ultra thick, blue, ->] (FinfLabel) -- (Finf);
\draw[ultra thick, red, ->] (centerLabel) -- (3, -1);
\draw[ultra thick, green!50!black, ->] (myEventLabel) -- (E2);
\end{tikzpicture}
\end{document}
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