{
  "family_id": "002",
  "title": "The full BSD formula from low Selmer corank",
  "discipline": "Number theory",
  "source_commit": "fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb",
  "papers": [
    {
      "title": "Exact Birch–Swinnerton-Dyer Formula from Low Selmer Corank",
      "path": "preprints/Exact-Birch-Swinnerton-Dyer-Formula-from-Low-Selmer-Corank-October-7-2026/exact-bsd-low-selmer-corank.pdf",
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    {
      "title": "The Selmer converse for elliptic curves at every prime",
      "path": "preprints/The-Selmer-converse-for-elliptic-curves-at-every-prime-October-7-2026/main.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-Selmer-converse-for-elliptic-curves-at-every-prime-October-7-2026/main.pdf",
      "readme_path": "preprints/The-Selmer-converse-for-elliptic-curves-at-every-prime-October-7-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    },
    {
      "title": "The two-primary Birch–Swinnerton-Dyer formula in Selmer corank at most one",
      "path": "preprints/The-two-primary-Birch-Swinnerton-Dyer-formula-in-Selmer-corank-at-most-one-October-6-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-two-primary-Birch-Swinnerton-Dyer-formula-in-Selmer-corank-at-most-one-October-6-2026/paper.pdf",
      "readme_path": "preprints/The-two-primary-Birch-Swinnerton-Dyer-formula-in-Selmer-corank-at-most-one-October-6-2026/README.md",
      "tex_paths": [],
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    }
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  "review_status": "inventory_complete_deep_review_pending"
}