{
  "family_id": "079",
  "title": "Local smoothing in three dimensions",
  "discipline": "Real and complex analysis",
  "source_commit": "fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb",
  "papers": [
    {
      "title": "Critical local smoothing for the three-dimensional wave equation",
      "path": "preprints/Critical-local-smoothing-for-the-three-dimensional-wave-equation-September-24-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Critical-local-smoothing-for-the-three-dimensional-wave-equation-September-24-2026/paper.pdf",
      "readme_path": "preprints/Critical-local-smoothing-for-the-three-dimensional-wave-equation-September-24-2026/README.md",
      "tex_paths": [],
      "pdf_exists": true
    }
  ],
  "lean_scope_path": null,
  "lean_scope_url": null,
  "verification_status": "no_family_scope_document",
  "review_status": "inventory_complete_deep_review_pending"
}