{
  "annotation_id": "b37ec6f4-c6e3-49f8-ade5-65fbed27721e",
  "date_created": "2026-03-02T18:02:51.343000Z",
  "date_modified": "2026-03-02T18:02:51.343000Z",
  "file_hash": "75c334055f20ca5bfc96dc0024a0a24712710a8946b1265d5f2127079e123b85",
  "private": false,
  "record": {
    "abstract": "Some new formulas for the KP hierarchy are derived from the differential Fay\nidentity. They proved to be useful for the $k$-constrained hierarchies\nproviding a series of determinant identities for them. A differential equation\nis introduced which is called ``universal\" since it plays an important role for\nall the $k$-constrained hierarchies. In the cases $k=1,2$ and 3 explicit\nformulas are presented, in all the others recurrence relations are given which\nenable one to obtain the identities.",
    "arxiv_id": "solv-int/9606009",
    "authors": [
      "L. A. Dickey",
      "W. Strampp"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "On a generalization of the Fay-Sato identity for KP Baker functions and   its application to constrained hierarchies",
    "url": "https://arxiv.org/abs/solv-int/9606009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4d484621-c93a-48e6-b0c6-d87463d1c205",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}