{
  "annotation_id": "5a420e60-a8b6-463a-8fd1-9916d17d485b",
  "date_created": "2026-03-02T18:00:56.755000Z",
  "date_modified": "2026-03-02T18:00:56.755000Z",
  "file_hash": "526e921d9f573efc4186cfd87a17531c1d7832539cf6f69f82b10fa3d53d88b8",
  "private": false,
  "record": {
    "abstract": "A formalism is given to count integer and rational solutions to polynomial\nequations with rational coefficients. These polynomials $P(x)$ are\nparameterized by three integers, labeling an elliptic curve. The counting of\nthe rational solutions to $y^2=P(x)$ is facilitated by another elliptic curve\nwith integral coefficients. The problem of counting is described by two\nelliptic curves and a map between them.",
    "arxiv_id": "physics/0503200",
    "authors": [
      "Gordon Chalmers"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "Integer and Rational Solutions to Polynomial Equations",
    "url": "https://arxiv.org/abs/physics/0503200"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8cf38462-7035-47e9-9dfc-fd8beb45b922",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}