{
  "annotation_id": "486250d9-dde0-4c26-9228-9811d42871bd",
  "date_created": "2026-03-02T18:00:35.865000Z",
  "date_modified": "2026-03-02T18:00:35.865000Z",
  "file_hash": "e6bff63fdad503cd44a406842aa3c9022264ad36ad7ad8e51365fd05480cf086",
  "private": false,
  "record": {
    "abstract": "A flat membrane with given shape is displayed; two points in the membrane are\nrandomly selected; the probability that the separation between the points have\na specified value is sought. A simple method to evaluate the probability\ndensity is developed, and is easily extended to spaces with more dimensions.",
    "arxiv_id": "physics/0111108",
    "authors": [
      "A. F. F. Teixeira"
    ],
    "categories": [
      "physics.bio-ph",
      "astro-ph"
    ],
    "title": "Distances in plane membranes",
    "url": "https://arxiv.org/abs/physics/0111108"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c3db0c5f-a077-4ef7-9473-030eebd755da",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}