{
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  "problem_id": "vibemathed:fullrsb-jamming-identity",
  "title": "FullRSB Jamming Identity a + b = 1",
  "canonical_statement": "Can the critical-exponent relation $a + b = 1$ at the jamming transition, observed numerically to high precision in the full replica-symmetry-breaking solution of hard spheres, be derived analytically from the scaling equations?",
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      "occurred_at": "2026-06-02T00:00:00.000Z",
      "title": "arXiv:2606.03300 - A proof of an identity for the critical exponents of jamming",
      "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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      "attempted_at": "2026-06-02T00:00:00.000Z",
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        "Francesco Zamponi"
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      "outcome": "Parisi and Zamponi asked Claude for help; it quickly proposed the essentially correct idea - integration-by-parts identities combined with a maximum principle - whose first formal write-up contained errors the authors then fixed and verified.",
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      "note": "Peer-reviewed and published in the Journal of Statistical Mechanics (2026); also public as an arXiv preprint.",
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  "generated_at": "2026-09-13T16:28:40.178Z"
}