{
  "annotation_id": "31c6929e-9078-4044-891e-e7dbbf1d3f60",
  "date_created": "2026-03-02T18:02:48.419000Z",
  "date_modified": "2026-03-02T18:02:48.419000Z",
  "file_hash": "dde0051fe95296fdc3c0691cb3a5a0f91ef566560878edea12eb66628033a0f1",
  "private": false,
  "record": {
    "abstract": "We review and extend recent findings of Godsil and Zaks, who published a\nconstructive coloring of the rational unit sphere with the property that for\nany orthogonal tripod formed by rays extending from the origin of the points of\nthe sphere, exactly one ray is red, white and black. They also showed that any\nconsistent coloring of the real sphere requires an additional color. We discuss\nsome of the consequences for the Kochen-Specker theorem.",
    "arxiv_id": "quant-ph/9911040",
    "authors": [
      "Hans Havlicek",
      "Guenther Krenn",
      "Johann Summhammer",
      "Karl Svozil"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/14/312",
    "journal_ref": "J. Phys. A: Math. Gen. 34(14), 3071-3077 (13 April 2001)",
    "title": "Coloring the rational quantum sphere and the Kochen-Specker theorem",
    "url": "https://arxiv.org/abs/quant-ph/9911040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "14673da4-02e1-4729-b9f6-d5c272b3668f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}