{
  "family_id": "074",
  "title": "Kakeya in three and four dimensions",
  "discipline": "Real and complex analysis",
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      "title": "The Kakeya maximal conjecture in three dimensions",
      "path": "preprints/The-Kakeya-maximal-conjecture-in-three-dimensions-September-23-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/The-Kakeya-maximal-conjecture-in-three-dimensions-September-23-2026/paper.pdf",
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    {
      "title": "Every four-dimensional Kakeya set has full Hausdorff dimension",
      "path": "preprints/Every-four-dimensional-Kakeya-set-has-full-Hausdorff-dimension-September-24-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Every-four-dimensional-Kakeya-set-has-full-Hausdorff-dimension-September-24-2026/paper.pdf",
      "readme_path": "preprints/Every-four-dimensional-Kakeya-set-has-full-Hausdorff-dimension-September-24-2026/README.md",
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    }
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  "review_status": "inventory_complete_deep_review_pending"
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