{"work":{"id":"f375cd92-317b-4ec3-b294-cbf028f54f9c","openalex_id":null,"doi":null,"arxiv_id":"2605.20695","raw_key":null,"title":"Remarks on the disproof of the unit distance conjecture","authors":null,"authors_text":null,"year":2026,"venue":"math.CO","abstract":"We present a short, digested, human-verified version of the recent OpenAI-generated counterexample to the Erd\\H{o}s 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.","external_url":"https://arxiv.org/abs/2605.20695","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-07-02T19:27:18.659917+00:00","pith_arxiv_id":"2605.20695","created_at":"2026-06-27T05:30:35.936041+00:00","updated_at":"2026-07-02T19:27:18.659917+00:00","title_quality_ok":true,"display_title":null,"render_title":"Remarks on the disproof of the unit distance conjecture"},"hub":{"state":{"tier_text":"hub","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":13,"external_cited_by_count":null},"tier":"hub","role_counts":[],"polarity_counts":[],"runs":{},"summary":{},"graph":{},"authors":[]}}