{
  "annotation_id": "e1d376ee-e9da-474f-8085-b962992b572a",
  "date_created": "2026-03-02T18:02:51.404000Z",
  "date_modified": "2026-03-02T18:02:51.404000Z",
  "file_hash": "bbd2cd27f4af50b5b680f84d2bec764827cfdd712b494686147ca8b7e7d77557",
  "private": false,
  "record": {
    "abstract": "We prove that the solution to a pair of nonlinear integral equations arising\nin the thermodynamic Bethe Ansatz can be expressed in terms of the resolvent\nkernel of the linear integral operator with kernel\nexp(-u(theta)-u(theta\u0027))/cosh[(1/2)(theta-theta\u0027)]",
    "arxiv_id": "solv-int/9509003",
    "authors": [
      "Craig A. Tracy",
      "Harold Widom"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "doi": "10.1007/BF02100102",
    "journal_ref": "Commun.Math.Phys. 179 (1996) 667-680",
    "title": "Proofs of Two Conjectures Related to the Thermodynamic Bethe Ansatz",
    "url": "https://arxiv.org/abs/solv-int/9509003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b65969a0-4869-4dbe-9fc9-49fb7dc988bf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}