{
  "annotation_id": "be397ed2-dbe1-416e-97b0-d1e0ba44b5b5",
  "date_created": "2026-03-02T18:00:50.315000Z",
  "date_modified": "2026-03-02T18:00:50.315000Z",
  "file_hash": "718270245db267e32ee797b1fadf5fc70ebc60d3fb5881be78d894c3f15d7a1b",
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  "record": {
    "abstract": "A mapping between random walk problems and resistor network problems is\ndescribed and used to calculate the effective resistance between any two nodes\non an infinite two-dimensional square lattice of unit resistors. The\nsuperposition principle is then used to find effective resistances on toroidal\nand cylindrical square lattices.",
    "arxiv_id": "physics/0405135",
    "authors": [
      "Monwhea Jeng"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1119/1.19370",
    "journal_ref": "Am. J. Phys. 68, 37-40 (2000)",
    "title": "Random Walks and Effective Resistances on Toroidal and Cylindrical Grids",
    "url": "https://arxiv.org/abs/physics/0405135"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e389d21f-e350-4fe9-b2f0-f992438540ed",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}