{
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  "source": "vibemath",
  "problem_id": "vibemathed:anstee-sali-conjecture",
  "title": "The Anstee-Sali Conjecture on Forbidden Configurations",
  "canonical_statement": "For a forbidden configuration $F$, the Anstee-Sali conjecture predicts that $\\mathrm{forb}(m, F)$ is $\\Theta\\left(m^{X(F)-1}\\right)$, where $X(F)$ comes from an explicit product construction. Disproved: the 4-uniform family on six vertices formed by a two-vertex core joined to the edges of a 4-cycle has $X(F) = 4$, so the conjecture predicts $\\Theta(m^3)$, while a random-alteration argument gives $\\Omega(m^{\\frac{10}{3}})$.",
  "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.",
  "current_status": "resolved",
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      "type": "disproved",
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      "occurred_at": "2026-08-07T00:00:00.000Z",
      "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_discovered",
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      "attempted_at": "2026-08-07T00:00:00.000Z",
      "human_collaborators": [
        "Pei Wu"
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      "prompt_public": null,
      "outcome": "The abstract ends \"The example was found by GPT-5.6 Sol\", and a dedicated disclosure section repeats it: \"The authors used GPT-5.6 Sol for finding the example. The authors reviewed and revised all outputs, verified results, and take full responsibility for the final manuscript.\"",
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      "sources": [
        {
          "label": "arXiv",
          "url": "https://arxiv.org/abs/2608.07646",
          "kind": "primary-mathematical-source",
          "license": null
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          "label": "VibeMathed: The Anstee-Sali Conjecture on Forbidden Configurations",
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      "note": "A preprint days old, with no independent review.",
      "sources": [
        {
          "label": "VibeMathed: The Anstee-Sali Conjecture on Forbidden Configurations",
          "url": "https://vibemathed.com/problem/anstee-sali-conjecture",
          "kind": "source-assertion",
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          "kind": "primary-mathematical-source",
          "license": null
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      "label": "arXiv",
      "url": "https://arxiv.org/abs/2608.07646",
      "kind": "primary-mathematical-source",
      "license": null
    },
    {
      "label": "VibeMathed: The Anstee-Sali Conjecture on Forbidden Configurations",
      "url": "https://vibemathed.com/problem/anstee-sali-conjecture",
      "kind": "source-assertion",
      "license": "https://vibemathed.com/data-license"
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  "opportunity_signals": [
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      "id": "vibemathed:anstee-sali-conjecture:signal:watch_only",
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  "uncertainties": [
    "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."
  ],
  "generated_at": "2026-09-13T16:28:40.178Z"
}