{
  "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 9,
  "authors": [
    {
      "name": "Noga Alon",
      "orcid": "0000-0003-1332-4883"
    },
    {
      "name": "Thomas F. Bloom",
      "orcid": "0000-0002-2454-4008"
    },
    {
      "name": "W. T. Gowers",
      "orcid": "0000-0002-5168-0785"
    },
    {
      "name": "Daniel Litt",
      "orcid": "0000-0003-2273-4630"
    },
    {
      "name": "Will Sawin",
      "orcid": "0000-0003-0344-5438"
    },
    {
      "name": "Arul Shankar"
    },
    {
      "name": "Jacob Tsimerman"
    },
    {
      "name": "Victor Wang"
    },
    {
      "name": "Melanie Matchett Wood",
      "orcid": "0000-0002-3830-1314"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b3wxjttkzj0rx.bib",
  "cited_by": 84,
  "doi": "10.48550/arxiv.2605.20695",
  "fulltext_url": null,
  "id": "b3wxjttkzj0rx",
  "issns": [
    "2331-8422"
  ],
  "landing_url": "https://arxiv.org/abs/2605.20695",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2607|Limits and Structures in Graph Theory"
    ]
  ],
  "openalex": "W7161944936",
  "pdf_url": "https://arxiv.org/pdf/2605.20695",
  "pmcid": null,
  "pmid": null,
  "published": "2026-05-20",
  "publisher": "Cornell University",
  "ris": "https://research.draconitic.com/paper/b3wxjttkzj0rx.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T13:20:40Z",
      "native_id": "W7161944936",
      "source": "openalex",
      "url": "https://arxiv.org/abs/2605.20695"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2607|Limits and Structures in Graph Theory",
      "subfield": "combinatorics"
    }
  ],
  "title": "Remarks on the disproof of the unit distance conjecture",
  "title_text": "Remarks on the disproof of the unit distance conjecture",
  "type": "preprint",
  "updated_at": "2026-11-09T13:20:59Z",
  "url": "https://research.draconitic.com/paper/b3wxjttkzj0rx",
  "venue": "arXiv (Cornell University)",
  "versions": []
}