{
  "family_id": "199",
  "title": "Counterexamples to Auslander–Reiten, Tachikawa and related homological conjectures",
  "discipline": "Algebra",
  "source_commit": "fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb",
  "papers": [
    {
      "title": "An explicit counterexample to the Auslander-Reiten conjecture",
      "path": "preprints/An-explicit-counterexample-to-the-Auslander-Reiten-conjecture-September-23-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/An-explicit-counterexample-to-the-Auslander-Reiten-conjecture-September-23-2026/paper.pdf",
      "readme_path": "preprints/An-explicit-counterexample-to-the-Auslander-Reiten-conjecture-September-23-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    },
    {
      "title": "A counterexample to Tachikawa's second conjecture",
      "path": "preprints/A-counterexample-to-Tachikawas-second-conjecture-September-23-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/A-counterexample-to-Tachikawas-second-conjecture-September-23-2026/paper.pdf",
      "readme_path": "preprints/A-counterexample-to-Tachikawas-second-conjecture-September-23-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    }
  ],
  "lean_scope_path": "lean/docs/199.md",
  "lean_scope_url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/lean/docs/199.md",
  "verification_status": "scope_document_available_not_independently_verified",
  "review_status": "inventory_complete_deep_review_pending"
}