{
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  "problem_id": "vibemathed:boppana-entropy-generalization",
  "title": "A Generalization of Boppana's Entropy Inequality",
  "canonical_statement": "A generalization of Boppana's entropy inequality, of the kind used in union-closed-sets arguments, proved and formalized: the sharp form with the extremal constant characterized via the unique positive solution of an explicit equation.",
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      "occurred_at": "2026-01-27T00:00:00.000Z",
      "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.",
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        "vibemathed:boppana-entropy-generalization:attempt"
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          "url": "https://arxiv.org/abs/2601.19327",
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          "license": null
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        {
          "label": "VibeMathed: A Generalization of Boppana's Entropy Inequality",
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      "sources": [
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          "label": "VibeMathed: A Generalization of Boppana's Entropy Inequality",
          "url": "https://vibemathed.com/problem/boppana-entropy-generalization",
          "kind": "source-assertion",
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      "kind": "primary-mathematical-source",
      "license": null
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    {
      "label": "VibeMathed: A Generalization of Boppana's Entropy Inequality",
      "url": "https://vibemathed.com/problem/boppana-entropy-generalization",
      "kind": "source-assertion",
      "license": "https://vibemathed.com/data-license"
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    "VibeMath has not independently verified the mathematical claim.",
    "AI-attempt independence and training-data exposure are unknown unless explicitly documented.",
    "VibeMath has not independently audited the mathematical statement, proof, or novelty claim."
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  "generated_at": "2026-09-13T16:28:40.178Z"
}
