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  "family_id": "099",
  "title": "The sharp exponential scale of edit-distance distortion",
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      "title": "Finite-Circle Obstructions, Binary Codes, and Histogram Embeddings for Edit Distance",
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    {
      "title": "Tree Constructions for the l1 Distortion of Binary Edit Distance",
      "path": "preprints/Tree-Constructions-for-the-l1-Distortion-of-Binary-Edit-Distance-September-27-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Tree-Constructions-for-the-l1-Distortion-of-Binary-Edit-Distance-September-27-2026/paper.pdf",
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