{
  "annotation_id": "b5a4e95a-1853-4fc6-8b1d-13ba32d0c121",
  "date_created": "2026-03-02T18:02:50.574000Z",
  "date_modified": "2026-03-02T18:02:50.574000Z",
  "file_hash": "b1e78da0c24be8da314c2e3a8fe5f61f4688838ecbd01b26c7ccbfc82b43a6b9",
  "private": false,
  "record": {
    "abstract": "For a particular class of integral operators $K$ we show that the quantity\n\\[\\ph:=\\log \\det (I+K)-\\log \\det (I-K)\\] satisfies both the integrated mKdV\nhierarchy and the sinh-Gordon hierarchy. This proves a conjecture of\nZamolodchikov.",
    "arxiv_id": "solv-int/9506006",
    "authors": [
      "Craig A. Tracy",
      "Harold Widom"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "doi": "10.1007/BF02103713",
    "journal_ref": "Commun. Math. Phys 179 (1996) 1--9",
    "title": "Fredholm determinants and the mKdV/sinh-Gordon hierarchies",
    "url": "https://arxiv.org/abs/solv-int/9506006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f2a2ab3b-486c-4459-bd0d-80b710919f54",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}