{
  "annotation_id": "46c6b12e-4b08-47fa-8001-20b54da7b579",
  "date_created": "2026-03-02T18:02:51.521000Z",
  "date_modified": "2026-03-02T18:02:51.521000Z",
  "file_hash": "53e560d8402bc741e22dcae57d23fd542425311fe69ff91da24ec3d0e9218d3a",
  "private": false,
  "record": {
    "abstract": "Geometric interpretation of the Hirota equation is presented as equation\ndescribing the Laplace sequence of two-dimensional quadrilateral lattices.\nDifferent forms of the equation are given together with their geometric\ninterpretation: (i) the discrete coupled Volterra system for the coefficients\nof the Laplace equation, (ii) the gauge invariant form of the Hirota equation\nfor projective invariants of the Laplace sequence, (iii) the discrete Toda\nsystem for the rotation coefficients, (iv) the original form of the Hirota\nequation for the tau-function of the quadrilateral lattice.",
    "arxiv_id": "solv-int/9907013",
    "authors": [
      "Adam Doliwa"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Lattice geometry of the Hirota equation",
    "url": "https://arxiv.org/abs/solv-int/9907013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7fce59e5-30f4-4eb0-9067-fb3f3af4b0fa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}