{
  "family_id": "088",
  "title": "Sharp projection-body inequalities and a counterexample to simplex maximization",
  "discipline": "Convex and metric geometry",
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  "papers": [
    {
      "title": "Petty’s projection-volume conjecture in dimensions at least four",
      "path": "preprints/Pettys-projection-volume-conjecture-in-dimensions-at-least-four-September-24-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Pettys-projection-volume-conjecture-in-dimensions-at-least-four-September-24-2026/paper.pdf",
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    },
    {
      "title": "A product counterexample to the simplex maximum for projection-body volume",
      "path": "preprints/A-product-counterexample-to-the-simplex-maximum-for-projection-body-volume-September-24-2026/paper.pdf",
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      "readme_path": "preprints/A-product-counterexample-to-the-simplex-maximum-for-projection-body-volume-September-24-2026/README.md",
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