{
  "annotation_id": "1adca35a-ab51-45f2-a2d3-6320cf5a791c",
  "date_created": "2026-02-17T05:53:15.947000Z",
  "date_modified": "2026-02-17T05:53:15.947000Z",
  "file_hash": "b2527ffd65f5665dada29c2f3fdcb948206c6e57957d44dc3cc89100fca03b16",
  "private": false,
  "record": {
    "abstract": "The edge-to-edge tilings of the sphere by congruent polygons, where all edges are straight, have been completely classified. We classify the curvilinear version of the similar triangular tilings, where the edges may not be straight, and find that these are the modifications of the straight triangular tilings.",
    "arxiv_id": "2601.08250",
    "authors": [
      "Keyi Jin",
      "Linming Lu",
      "Erxiao Wang",
      "Lijuan Wu",
      "Min Yan"
    ],
    "categories": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Side-to-side Tiling of the Sphere by Congruent Curvilinear Triangles",
    "url": "https://arxiv.org/abs/2601.08250",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e7fc43d1-126e-4199-ab49-548921f4f10f",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}