{
  "annotation_id": "fe8b7c43-3e5a-4903-8657-ec26ff14c2b5",
  "date_created": "2026-03-02T18:02:48.583000Z",
  "date_modified": "2026-03-02T18:02:48.583000Z",
  "file_hash": "7dd8cacef9dd5935f253c63bbea87ab3ba3249bdb7bc052fab976f43afe48a8c",
  "private": false,
  "record": {
    "abstract": "We show that the following elementary geometric properties of the motion of a\ndiscrete (i.e. piecewise linear) curve select the integrable dynamics of the\nAblowitz-Ladik hierarchy of evolution equations: i) the set of points\ndescribing the discrete curve lie on the sphere S^3, ii) the distance between\nany two subsequant points does not vary in time, iii) the dynamics does not\ndepend explicitly on the radius of the sphere. These results generalize to a\ndiscrete context our previous work on continuous curves.",
    "arxiv_id": "solv-int/9407005",
    "authors": [
      "Adam Doliwa",
      "Paolo Maria Santini"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1063/1.531119",
    "journal_ref": "J. Math. Phys. 36 (1995) 1259",
    "title": "Integrable dynamics of a discrete curve and the Ablowitz-Ladik hierarchy",
    "url": "https://arxiv.org/abs/solv-int/9407005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "21d6f8b9-3a09-48f0-a0b4-a80a24f38303",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}