\documentclass[tikz]{standalone}
\usepackage[permutation,larger,neon]{causets}
\usetikzlibrary{fit,shapes.geometric}
\begin{document}
\begin{tikzpicture}
       % Create causet, shifted in x- and y-direction:
       \begin{scope}[xshift=3cm, yshift=-1cm]
               \tikzcausetsset{offset=-2}
               \drawpcauset{5,2,7,3,6,1,4}
               \draw[red, double] (0, 0) circle[radius=0.1];
       \end{scope}
       % Mark the maximal elements (future infinity):
       \node[draw=blue, inner sep=1pt, thick, ellipse, fit=(E2) (E4) (E5)] (Finf) {};
       % Add labels on top:
       \node[draw=blue, right, align=right] (FinfLabel) at (4.8, -0.5) {maximal events / \\ (future infinity)};
       \node[draw=red] (centerLabel) at (0.5, -0.5) {centre};
       \node[draw=green!50!black] (myEventLabel) at (5.5, -2.5) {event (E0)};
       % Draw arrows from the labels to the references:
       \draw[ultra thick, blue, ->] (FinfLabel) -- (Finf);
       \draw[ultra thick, red, ->] (centerLabel) -- (3, -1);  % centre was shifted by the scope
       \draw[ultra thick, green!50!black, ->] (myEventLabel) -- (E0);
\end{tikzpicture}
\end{document}

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