{
  "annotation_id": "c68a1deb-0d99-41d7-a3ba-34516139ac65",
  "date_created": "2026-03-02T18:01:24.706000Z",
  "date_modified": "2026-03-02T18:01:24.706000Z",
  "file_hash": "b1f1e2d86577927c0615b4514f20133b1da13a16b363f2c0541f10a50132422b",
  "private": false,
  "record": {
    "abstract": "This paper continues the study of finite-type invariants of homology spheres\nstudied by Ohtsuki and Garoufalidis. We apply the surgery classification of\nlinks to give a diagrammatic description, using ideas of Ohtsuki. This uses a\ncomputation of the surgery equivalence classes of pure braids. We show that the\norder of any invariant, in Ohtsukis sense, is a multiple of 3. We also study\nthe relation between the order of an invariant and that of the knot invariant\nit defines.",
    "arxiv_id": "q-alg/9506012",
    "authors": [
      "Stavros Garoufalidis",
      "Jerome Levine"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "On Finite Type 3-Manifold Invariants II",
    "url": "https://arxiv.org/abs/q-alg/9506012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "df68ce13-84d2-46cf-ac5d-3931c378e853",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}