{
  "family_id": "318",
  "title": "Chromatic splitting: filtrations and counterexamples",
  "discipline": "Topology",
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      "title": "Filtered chromatic splitting at generic primes",
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      "title": "The height-three chromatic overlap: an explicit filtration and its attachments",
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    {
      "title": "A rational obstruction to strong chromatic splitting at height three",
      "path": "preprints/A-rational-obstruction-to-strong-chromatic-splitting-at-height-three-September-25-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/A-rational-obstruction-to-strong-chromatic-splitting-at-height-three-September-25-2026/paper.pdf",
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    },
    {
      "title": "Failure of finite assembly for a chromatic overlap at the prime three",
      "path": "preprints/Failure-of-finite-assembly-for-a-chromatic-overlap-at-the-prime-three-September-25-2026/paper.pdf",
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    },
    {
      "title": "Counterexamples to weak chromatic splitting: sphere kernels and descent exponents",
      "path": "preprints/Counterexamples-to-weak-chromatic-splitting-sphere-kernels-and-descent-exponents-September-27-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Counterexamples-to-weak-chromatic-splitting-sphere-kernels-and-descent-exponents-September-27-2026/paper.pdf",
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