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    "title": "OpenAI: reported counterexample to an Erdős unit-distance conjecture",
    "summary": "Reports a negative result for a central conjecture in the planar unit-distance problem.",
    "boundary": "Exact growth rates, versions involving constants and weaker statements must remain distinct. The original paper’s theorem is the review target.",
    "area": "Discrete geometry",
    "topic": "Mathematics & logic",
    "year": 2026,
    "lane": "AI",
    "result": "CANDIDATE_PROOF",
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        "title": "OpenAI, An OpenAI model has disproved a central conjecture in discrete geometry (2026)",
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      "statement": "# OpenAI: reported counterexample to an Erdős unit-distance conjecture\n\nReports a negative result for a central conjecture in the planar unit-distance problem.\n\n## Scientific scope\n\nExact growth rates, versions involving constants and weaker statements must remain distinct. The original paper’s theorem is the review target.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\n\n\nListed source contributors; individual labor shares are not measured\n\nOpenAI research model / OpenAI / Model unreleased at the time: Research system / execution (source reported).\n\n## Original sources\n\n- [OpenAI, An OpenAI model has disproved a central conjecture in discrete geometry (2026)](https://openai.com/index/model-disproves-discrete-geometry-conjecture/)\n",
      "summary": "Reports a negative result for a central conjecture in the planar unit-distance problem.",
      "title": "OpenAI: reported counterexample to an Erdős unit-distance conjecture"
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