{
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  "problem_id": "vibemathed:stanley-differential-poset-rank-bound",
  "title": "Stanley's Rankwise Lower-Bound Conjecture for Differential Posets",
  "canonical_statement": "Must every $r$-differential poset have at least as many elements in each rank as $Y^r$, the $r$-th Cartesian power of Young's lattice? For $r = 3$ the new construction has fourth-rank size $50$ against $51$ for $Y^3$.",
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      "type": "disproved",
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      "occurred_at": "2026-07-28T00:00:00.000Z",
      "title": "arXiv:2607.22988 - An explicit counterexample to Stanley's rankwise lower-bound conjecture",
      "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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    {
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      "url": "https://vibemathed.com/problem/stanley-differential-poset-rank-bound",
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  "generated_at": "2026-09-13T16:28:40.178Z"
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