{
  "annotation_id": "0a584ece-74db-4b9c-8e80-ff3f533a058a",
  "date_created": "2026-02-17T05:53:16.130000Z",
  "date_modified": "2026-02-17T05:53:16.130000Z",
  "file_hash": "722164429c4beea7435e1512c4627c2427302118989347eed50800043b516c9f",
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  "record": {
    "abstract": "We show that it is not true that every countable infinite strongly dense poset has the splitting property, so answering a question of R. Ahlswede, P.L. Erd\\\"os and N. Graham.",
    "arxiv_id": "2601.08542",
    "authors": [
      "Mirna D\u017eamonja"
    ],
    "categories": [
      "math.CO",
      "math.LO"
    ],
    "journal_ref": "Radovi Matemati{\\v c}ki, 8, no. 2 (1998), pg. 321-326",
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "title": "Note on the Splitting Property in Strongly Dense Posets of Size $\\aleph_0$",
    "url": "https://arxiv.org/abs/2601.08542",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "23fc6c6b-3cb6-4324-b413-8782f58dd8cd",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}