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    "story_id": "mp-2026-10-31-003",
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    "headline": "The Proof Judge Cuts False Positives From 23 to 6 Percent",
    "slug": "the-proof-judge-cuts-false-positives-from-23-to-6-percent",
    "dek": "A pipeline for natural-language proofs, computer-algebra code and Lean formalizations found distinct solutions—and a proof of one published open conjecture—in Ramanujan Challenge submissions.",
    "summary": "A pipeline for natural-language proofs, computer-algebra code and Lean formalizations found distinct solutions—and a proof of one published open conjecture—in Ramanujan Challenge submissions.",
    "body_text": "Research-level mathematics creates two problems for AI: proposing a proof and judging it. The Ramanujan Challenge analysis reports correct submissions distinct from official solutions and a proof of one published open conjecture, then evaluates a structured judging pipeline across prose, code and formal proofs. Compared with one-shot model judgment, the pipeline reduced false positives on natural-language proofs from 23 percent to 6 percent and raised supporting-code judgment accuracy from 46 percent to 58 percent. Those figures describe the challenge submissions and evaluation set, not a general guarantee that automated proof review is reliable.",
    "why_it_matters": "A pipeline for natural-language proofs, computer-algebra code and Lean formalizations found distinct solutions—and a proof of one published open conjecture—in Ramanujan Challenge submissions.",
    "limitations": [
      "Those figures describe the challenge submissions and evaluation set, not a general guarantee that automated proof review is reliable."
    ],
    "importance": 9,
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    "first_published_at": "2026-10-31T09:00:00.000-04:00",
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        "text": "A pipeline for natural-language proofs, computer-algebra code and Lean formalizations found distinct solutions—and a proof of one published open conjecture—in Ramanujan Challenge submissions.",
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          "source-2026-10-31-003"
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        "qualification": "Those figures describe the challenge submissions and evaluation set, not a general guarantee that automated proof review is reliable."
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    "tags": [
      "mathematics",
      "proof evaluation",
      "Lean",
      "benchmarks"
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  "sources": [
    {
      "source_id": "source-2026-10-31-003",
      "title": "arXiv preprint 2610.40551, original v1",
      "publisher": "arXiv",
      "url": "https://arxiv.org/abs/2610.40551v1",
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      "published_at": "2026-10-28T20:00:00.000-04:00",
      "accessed_at": "2026-10-31T08:25:01.279-04:00",
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  "publisher": {
    "name": "The Machine Press",
    "url": "https://themachinepress.com",
    "description": "A daily newspaper for the age of artificial intelligence."
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  "cite_this_report": {
    "title": "The Proof Judge Cuts False Positives From 23 to 6 Percent",
    "publisher": "The Machine Press",
    "published_at": "2026-10-31T09:00:00.000-04:00",
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