{
  "annotation_id": "2fd48619-c79e-4b9c-892f-c8ad2792c14d",
  "date_created": "2026-03-02T18:01:28.017000Z",
  "date_modified": "2026-03-02T18:01:28.017000Z",
  "file_hash": "1972c9b763985ad08fc657cc782a56903b507188f0bb8e2c4eda14c93ff05cf9",
  "private": false,
  "record": {
    "abstract": "The integrality of the Kontsevich integral and perturbative invariants is\ndiscussed. We show that the denominator of the degree $n$ part of the\nKontsevich integral of any knot or link is a divisor of $(2!3!... n!)^4(n+1)!$.\nWe also show that the denominator of of the degree $n$ part of the universal\nperturbative invariant of homology 3-spheres is not divisible by any prime\ngreater than $2n+1$.",
    "arxiv_id": "q-alg/9704017",
    "authors": [
      "Thang T. Q. Le"
    ],
    "categories": [
      "q-alg",
      "math.GT",
      "math.QA"
    ],
    "title": "On Denominators of the Kontsevich Integral and the Universal   Perturbative Invariant of 3-Manifolds",
    "url": "https://arxiv.org/abs/q-alg/9704017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5e8db8d5-b8fe-4e7a-845f-09d0019747e4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}