{
  "family_id": "011",
  "title": "Prime-factor statistics of $`p-1`$",
  "discipline": "Number theory",
  "source_commit": "fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb",
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      "title": "Weighted dilation graphs, smooth shifted primes and totient fibers",
      "path": "preprints/Weighted-Dilation-Graphs-Smooth-Shifted-Primes-and-Totient-Fibers-September-24-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Weighted-Dilation-Graphs-Smooth-Shifted-Primes-and-Totient-Fibers-September-24-2026/paper.pdf",
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    },
    {
      "title": "The Poisson-Dirichlet law for prime predecessors",
      "path": "preprints/The-Poisson-Dirichlet-Law-for-Prime-Predecessors-September-24-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-Poisson-Dirichlet-Law-for-Prime-Predecessors-September-24-2026/paper.pdf",
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    },
    {
      "title": "Prime Predecessors with an Even Number of Prime Factors",
      "path": "preprints/Prime-Predecessors-with-an-Even-Number-of-Prime-Factors-September-17-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Prime-Predecessors-with-an-Even-Number-of-Prime-Factors-September-17-2026/paper.pdf",
      "readme_path": "preprints/Prime-Predecessors-with-an-Even-Number-of-Prime-Factors-September-17-2026/README.md",
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    }
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  "review_status": "inventory_complete_deep_review_pending"
}