{
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  "problem_id": "vibemathed:local-cohomology-nonclosed-support",
  "title": "Local Cohomology Modules With Nonclosed Support",
  "canonical_statement": "Can a noetherian ring have a local cohomology module whose support is not closed - equivalently, one with infinitely many minimal primes? Huneke and Lyubeznik asked; the paper constructs such rings, so the answer is yes.",
  "plain_summary": "VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.",
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      "type": "proved",
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      "occurred_at": "2026-07-30T00:00:00.000Z",
      "title": "arXiv",
      "summary": "VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.",
      "ai_contribution": "ai_co_developed",
      "attempt_ids": [
        "vibemathed:local-cohomology-nonclosed-support:attempt"
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      "attempted_at": "2026-07-30T00:00:00.000Z",
      "human_collaborators": [
        "Bhargav Bhatt",
        "Linquan Ma"
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          "url": "https://arxiv.org/abs/2607.28096",
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      "label": "VibeMathed: Local Cohomology Modules With Nonclosed Support",
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}