\begingroup
\small
\begin{thebibliography}{9}
\setlength{\itemsep}{2pt}
\setlength{\parsep}{0pt}

\bibitem{H12}
M. Huttner,
\emph{Riemann $P$-scheme, monodromy and diophantine approximations},
Indag. Math. \textbf{23} (2012), 522--546.
\href{https://doi.org/10.1016/j.indag.2012.03.002}
{doi:10.1016/j.indag.2012.03.002}.

\bibitem{K26}
S. Krisman,
\emph{One of $\beta(4),\beta(6),\ldots,\beta(36)$ is irrational},
2026.
\href{https://hexagonmath.org/2610.00285v2}{Hexagon 2610.00285v2}.

\bibitem{KT26}
V. Kumar and R. Tosi,
\emph{Irrationality of values of $L$-functions for real Dirichlet characters},
30 October 2026.
\href{https://arxiv.org/abs/2610.41458v1}{arXiv:2610.41458v1}.

\bibitem{LS25}
L. Lai and J. Sprang,
\emph{Many $p$-adic odd zeta values are irrational},
version of 17 February 2025.
\href{https://arxiv.org/abs/2306.10393v2}{arXiv:2306.10393v2}.

\bibitem{LY20}
L. Lai and P. Yu,
\emph{A note on the number of irrational odd zeta values},
Compos. Math. \textbf{156} (2020), no.~8, 1699--1717.
\href{https://arxiv.org/abs/1911.08458v2}{arXiv:1911.08458v2}.

\bibitem{LZ22}
L. Lai and L. Zhou,
\emph{At least two of $\zeta(5),\zeta(7),\ldots,\zeta(35)$ are irrational},
\href{https://arxiv.org/abs/2103.00904v2}{arXiv:2103.00904v2}.

\bibitem{OAI26}
OpenAI,
\emph{Catalan's constant is irrational},
24 September 2026.
\href{https://github.com/openai/math/blob/4eaee87548250b2682affda7d05d947c05554bae/preprints/Catalans-constant-is-irrational-September-24-2026/paper.pdf}
{OpenAI Math}.

\bibitem{S07}
V. N. Sorokin,
\emph{On the Zudilin--Rivoal theorem},
Mat. Zametki \textbf{81} (2007), no.~6, 912--923;
English translation: Math. Notes \textbf{81} (2007), no.~6, 817--826.
\href{https://doi.org/10.4213/mzm3742}{doi:10.4213/mzm3742}.

\bibitem{Tcount}
twinheterodox,
\emph{Explicit lower bounds for the number of irrational even beta values},
4 November 2026.
\href{https://github.com/twinheterodox/beta4/tree/main/even-beta-counts}
{Manuscript and exact checks}.

\end{thebibliography}
\endgroup