paper

Remarks on the disproof of the unit distance conjecture

arXiv:2605.20695

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.

19 pages; expository note based on very recent developments

Remarks on the disproof of the unit distance conjecture · wovepaper