{
  "annotation_id": "89de207b-6196-42e9-b010-68d481379743",
  "date_created": "2026-03-02T18:00:57.384000Z",
  "date_modified": "2026-03-02T18:00:57.384000Z",
  "file_hash": "d079004111b805995bf509948342672e5126bf477047d1ca957e3f78b88ea05b",
  "private": false,
  "record": {
    "abstract": "A method to the explict solutions of general systems of algebraic equations\nis presented via the metric form of affiliated K\\\"ahler manifolds. The\nsolutions to these systems arise from sets of geodesic second order non-linear\ndifferential equations. Algebraic equations in various fields such as integers\nand rational numbers, as well as transcendental equations, are amenable. The\ncase of Fermat\u0027s set of equations is a subset.",
    "arxiv_id": "physics/0503175",
    "authors": [
      "Gordon Chalmers"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "Geometric Solutions to Algebraic Equations",
    "url": "https://arxiv.org/abs/physics/0503175"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "27d29ca9-00de-46e4-a288-add57b7cf983",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}