@article{zhang1995,
 author={Zhang, Shouwu},
 title={Positive line bundles on arithmetic varieties},
 journal={J. Amer. Math. Soc.}, volume={8}, number={1}, year={1995}, pages={187--221},
 doi={10.1090/S0894-0347-1995-1254133-7},
 note={\url{https://doi.org/10.1090/S0894-0347-1995-1254133-7}}
}
@article{zagier1993,
 author={Zagier, Don}, title={Algebraic numbers close to both 0 and 1},
 journal={Math. Comp.}, volume={61}, number={203}, year={1993}, pages={485--491},
 doi={10.2307/2152970},
 url={https://people.mpim-bonn.mpg.de/zagier/files/doi/10.2307/2152970/fulltext.pdf},
 note={\url{https://doi.org/10.2307/2152970}}
}
@article{doche2001a,
 author={Doche, Christophe}, title={On the spectrum of the {Zhang--Zagier} height},
 journal={Math. Comp.}, volume={70}, number={233}, year={2001}, pages={419--430},
 doi={10.1090/S0025-5718-00-01183-2},
 note={\url{https://doi.org/10.1090/S0025-5718-00-01183-2}}
}
@article{doche2001b,
 author={Doche, Christophe}, title={{Zhang--Zagier} heights of perturbed polynomials},
 journal={J. Th\'eor. Nombres Bordeaux}, volume={13}, number={1}, year={2001}, pages={103--110},
 url={https://www.numdam.org/item/JTNB_2001__13_1_103_0/},
 note={\url{https://www.numdam.org/item/JTNB_2001__13_1_103_0/}}
}
@article{flammang2018,
 author={Flammang, V.}, title={On the {Zhang--Zagier} measure},
 journal={Int. J. Number Theory}, volume={14}, number={10}, year={2018}, pages={2663--2671},
 doi={10.1142/S1793042118501609},
 note={\url{https://doi.org/10.1142/S1793042118501609}}
}
@misc{grinsztajn2026,
 author={Grinsztajn, Max}, title={Code and certification data for an improved {C82 Zhang--Zagier} bound},
 year={2026}, howpublished={GitHub repository},
 url={https://github.com/maaxgrin/zhang-zagier-c82-bound},
 note={\url{https://github.com/maaxgrin/zhang-zagier-c82-bound}, commit \texttt{cb88f92434f649a1588b31ae91f67852830c6f77}; accessed 16 October 2026}
}
@misc{bmqs2026,
 author={Burgos Gil, Jos\'e and Menares, Ricardo and Qu, Binggang and Sombra, Mart\'in},
 title={Closing the gap around the essential minimum of height functions with linear programming},
 year={2026}, howpublished={arXiv:2601.18978v2 [math.NT]},
 url={https://arxiv.org/abs/2601.18978v2},
 note={\url{https://arxiv.org/abs/2601.18978v2}}
}
@misc{table,
 author={Tao, Terence and {contributors}},
 title={Optimization constants in mathematics: Essential minimum of the {Zhang--Zagier} height (constant 82a)},
 howpublished={Online table},
 url={https://teorth.github.io/optimizationproblems/constants/82a.html},
 note={\url{https://teorth.github.io/optimizationproblems/constants/82a.html}; accessed 16 October 2026}
}
@misc{epi2026,
 author={{\'{E}pi Team (BakeLab)}}, title={{\'{E}pi Results}: {Zhang--Zagier} essential minimum},
 year={2026}, howpublished={GitHub repository, Bake AI},
 url={https://github.com/BakeLab/Epi-results/tree/main/records/zhang-zagier/zhang_zagier_c82},
 note={\url{https://github.com/BakeLab/Epi-results/tree/main/records/zhang-zagier/zhang_zagier_c82}, commit \texttt{97fa6a420f417458e11723c8bceb70f1529e447a}; accessed 16 October 2026}
}