{
  "annotation_id": "7f9c0fd2-ad11-444f-bd3c-06b0c82e3347",
  "date_created": "2026-03-02T18:02:48.358000Z",
  "date_modified": "2026-03-02T18:02:48.358000Z",
  "file_hash": "93094b5fd7c2f98a17ac0412119234719b9348258703a7b9cc95d7a3876373a7",
  "private": false,
  "record": {
    "abstract": "We present an integrability criterion for rational mappings based on two\nrequirements. First, that a given point should have a unique preimage under the\nmapping and, second, that the spontaneously appearing singularities be confined\nto a few iteration steps. We present several examples of known integrable\nmappings that meet these requirements and, also, use our algorithm in order to\nderive new examples of integrable mappings.",
    "arxiv_id": "solv-int/9402001",
    "authors": [
      "B. Grammaticos",
      "A. Ramani",
      "K. M. Tamizhmani"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/27/2/037",
    "title": "Non Proliferation of Preimages in Integrable Mappings",
    "url": "https://arxiv.org/abs/solv-int/9402001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e6c57537-0836-4d8e-a3eb-85ecaadbf86d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}