{
  "annotation_id": "eaea1f5e-292f-453d-a28e-bfcad4049c73",
  "date_created": "2026-02-17T05:53:15.175000Z",
  "date_modified": "2026-02-17T05:53:15.175000Z",
  "file_hash": "2208b65b98839b7932b70c20418875b8a8f3234a66220fd46c195cc2be606760",
  "private": false,
  "record": {
    "abstract": "We show that the q-Narayana numbers for q=-1 count symmetric Dyck paths according to the number of their valleys.",
    "arxiv_id": "2601.08366",
    "authors": [
      "Johann Cigler"
    ],
    "categories": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Symmetric Dyck paths and q-Narayana numbers",
    "url": "https://arxiv.org/abs/2601.08366",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "09d82151-154a-4be9-80cb-91497ffbe573",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}