{
  "annotation_id": "95deb743-6bf8-4e69-9d1a-3fea55c568bc",
  "date_created": "2026-03-02T18:00:35.930000Z",
  "date_modified": "2026-03-02T18:00:35.930000Z",
  "file_hash": "aeaf1d8453ac289d0167495f9ede64cfcedd398a18fc430208808e0104e11bbb",
  "private": false,
  "record": {
    "abstract": "We present the symplectic algorithm in the Lagrangian formalism for the\nHamiltonian systems by virtue of the noncommutative differential calculus with\nrespect to the discrete time and the Euler--Lagrange cohomological concepts. We\nalso show that the trapezoidal integrator is symplectic in certain sense.",
    "arxiv_id": "physics/0104030",
    "authors": [
      "H. Y. Guo",
      "Y. Q. Li",
      "K. Wu"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "title": "A Note on Symplectic Algorithms",
    "url": "https://arxiv.org/abs/physics/0104030"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ad698c0b-c48b-4223-8ab5-bd53d87cc6b1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}