{
  "annotation_id": "d725a177-e3dd-4ea1-a73c-53a3b51e456f",
  "date_created": "2026-03-02T18:00:42.669000Z",
  "date_modified": "2026-03-02T18:00:42.669000Z",
  "file_hash": "998a241d3bb9f8e5db81499f6430f9402a0d2797d11c158e1f595c5e0909af02",
  "private": false,
  "record": {
    "abstract": "The writhe of a space curve fragment is considered for various boundary\nconditions. An expression for the writhe as a function of arclength for an\narbitrary space curve is obtained. The formula is built on the base of closing\nthe tangent indicatrix with a geodesic. The corresponding closure of a curve in\n3-space is explicitly constructed. The addition rule for writhe is formulated.\nA relationship connecting the writhe with the Gauss integral over the open\ncurve is presented. The single and double regular helical shapes are examined\nas examples.",
    "arxiv_id": "physics/0212095",
    "authors": [
      "E. L. Starostin"
    ],
    "categories": [
      "physics.bio-ph"
    ],
    "journal_ref": "Ch. 26 in: Vol. 36: Physical and Numerical Models in Knot Theory\n  Including Applications to the Life Sciences, ISBN 978-981-256-187-9, World\n  Scientific (2005) 525-545.",
    "title": "On the writhe of non-closed curves",
    "url": "https://arxiv.org/abs/physics/0212095"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "996cfe15-5303-45f7-bed4-d50709543483",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}