{
  "annotation_id": "3192e3b3-1aa1-4489-9a60-9a9e45c35b43",
  "date_created": "2026-03-02T18:00:53.744000Z",
  "date_modified": "2026-03-02T18:00:53.744000Z",
  "file_hash": "5a799df5ed260bb3b89ea74b13fca0a58af07258283283ebeee714a2d1d2c847",
  "private": false,
  "record": {
    "abstract": "A physical interpretation of the rope simulated by the SONO algorithm is\npresented. Properties of the tight polygonal knots delivered by the algorithm\nare analyzed. An algorithm for bounding the ropelength of a smooth inscribed\nknot is shown. Two ways of calculating the ropelength of tight polygonal knots\nare compared. An analytical calculation performed for a model knot shows that\nan appropriately weighted average should provide a good estimation of the\nminimum ropelength for relatively small numbers of edges.",
    "arxiv_id": "physics/0409108",
    "authors": [
      "Justyna Baranska",
      "Piotr Pieranski",
      "Eric J. Rawdon"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.gen-ph"
    ],
    "title": "Ropelength of tight polygonal knots",
    "url": "https://arxiv.org/abs/physics/0409108"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0bdcfe45-ffbd-4271-a37b-cf26f21698a4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}