{
  "abstract": "We exhibit a cubic graph with total chromatic number equal to four and list total chromatic number five. This disproves the List Total Colouring Conjecture of Borodin--Kostochka--Woodall, Juvan--Mohar--Škrekovski and Hilton--Johnson from the late 1990s. ChatGPT 6 Astra Ultra discovered the counterexample with little input from the author.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38417",
  "author_total": 1,
  "authors": [
    {
      "name": "Jonathan A. Noel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/592jzt2kz4xfg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38417",
  "fulltext_url": null,
  "id": "592jzt2kz4xfg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.38417",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "1703|Advanced Graph Theory Research"
    ]
  ],
  "openalex": "W7215118923",
  "pdf_url": "https://arxiv.org/pdf/2609.38417",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/592jzt2kz4xfg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2609.38417",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38417"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "The List Total Colouring Conjecture is False",
  "title_text": "The List Total Colouring Conjecture is False",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/592jzt2kz4xfg",
  "venue": "arXiv",
  "versions": []
}