{
  "family_id": "363",
  "title": "Nonuniqueness with local conservation for the hard-sphere Boltzmann equation",
  "discipline": "Partial differential equations",
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      "title": "Nonuniqueness with local conservation for the hard-sphere Boltzmann equation",
      "path": "preprints/Nonuniqueness-with-local-conservation-for-the-hard-sphere-Boltzmann-equation-October-5-2026/paper.pdf",
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    },
    {
      "title": "Nonuniqueness for the periodic hard-sphere Boltzmann equation",
      "path": "preprints/Nonuniqueness-for-the-periodic-hard-sphere-Boltzmann-equation-September-23-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Nonuniqueness-for-the-periodic-hard-sphere-Boltzmann-equation-September-23-2026/paper.pdf",
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