{
  "annotation_id": "9541e09f-ac37-4438-9995-6ffae88e0aa0",
  "date_created": "2026-03-02T18:02:50.633000Z",
  "date_modified": "2026-03-02T18:02:50.633000Z",
  "file_hash": "74686827ae58f3ad6897d0d0994f6186db3f0f71a07945ce8d9e77f0f160704b",
  "private": false,
  "record": {
    "abstract": "In previous work the author found solutions to the Toda equations that were\nexpressed in terms of determinants of integral operators. Here it is observed\nthat a simple variant yields solutions to the matrix Toda equations. As an\napplication another derivation is given of a differential equation of Sato,\nMiwa and Jimbo for a particular Fredholm determinant.",
    "arxiv_id": "solv-int/9702007",
    "authors": [
      "Harold Widom"
    ],
    "categories": [
      "solv-int",
      "funct-an",
      "hep-th",
      "math.FA",
      "nlin.SI"
    ],
    "journal_ref": "J. Int. Eqs. Appl. 10 (1998) 363",
    "title": "An Integral Operator Solution to the Matrix Toda Equations",
    "url": "https://arxiv.org/abs/solv-int/9702007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "86ca9fc3-398a-4f74-b4c7-8e8b427b42a6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}