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arXiv · 2605.20695

Remarks on the disproof of the unit distance conjecture

Noga Alon·Thomas F. Bloom·W. T. Gowers·Daniel Litt·Will Sawin·Arul Shankar·Jacob Tsimerman·Victor Wang·Melanie Matchett Wood
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Abstract

We present a short, digested, human-verified version of the recent OpenAI-generated counterexample to the Erdős unit distance conjecture, and a sequence of reflections on it. The argument relies crucially on ideas that may, at least in retrospect, be attributed to Ellenberg-Venkatesh, Golod-Shafarevich, and Hajir-Maire-Ramakrishna.

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Noga Alon, Thomas F. Bloom, W. T. Gowers, Daniel Litt, Will Sawin, Arul Shankar, Jacob Tsimerman, Victor Wang, Melanie Matchett Wood. 2026-05-20. Remarks on the disproof of the unit distance conjecture. https://arxiv.org/abs/2605.20695

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