\clearpage
\begin{thebibliography}{9}
\bibitem{krisman}
S.~Krisman, \emph{One of $\beta(4),\beta(6),\ldots,\beta(36)$ is
irrational}, 2026, \href{https://hexagonmath.org/abs/2610.00285v2}{Hexagon 2610.00285v2}.

\bibitem{laisprang}
L.~Lai and J.~Sprang, \emph{Many $p$-adic odd zeta values are irrational},
2025, \href{https://arxiv.org/abs/2306.10393v2}{arXiv:2306.10393v2}.

\bibitem{rivoal}
T.~Rivoal, \emph{Irrationalit\'e d'au moins un des neuf nombres
$\zeta(5),\zeta(7),\ldots,\zeta(21)$},
Acta Arith. \textbf{103} (2002), 157--167,
\href{https://doi.org/10.4064/aa103-2-5}{doi:10.4064/aa103-2-5}.

\bibitem{finite}
twinheterodox, \emph{At least three of
$\beta(2),\beta(4),\ldots,\beta(364)$ are irrational},
prepared with Codex, 2026,
\href{https://github.com/twinheterodox/beta4/tree/94cf59dad9ebb2ff0ee666238a28abb14eca0466/finite-even-beta}{source, PDF, and certificates}.

\bibitem{powered}
twinheterodox, \emph{Irrational even beta values from powered
hypergeometric kernels}, prepared with Codex, 2026,
\href{https://github.com/twinheterodox/beta4/tree/94cf59dad9ebb2ff0ee666238a28abb14eca0466/powered-beta-kernels}{source, PDF, and certificates}.

\bibitem{zudilin}
W.~Zudilin, \emph{Arithmetic of Catalan's constant and its relatives},
Abh. Math. Semin. Univ. Hambg. \textbf{89} (2019), 45--53,
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\end{thebibliography}