{
  "annotation_id": "8d46d898-67d6-45a2-b5af-f313a3bea7d4",
  "date_created": "2026-02-17T05:53:23.346000Z",
  "date_modified": "2026-02-17T05:53:23.346000Z",
  "file_hash": "f453b8c421eff932b2ae160b043e4d0317bff4e5aa664f359f041eff3192840d",
  "private": false,
  "record": {
    "abstract": "We prove a new universal identity for umbral operators. This motivates the definition of a subclass obeying a simplified identity, which we then fully characterize. The results are illustrated with common examples of the theory of umbral calculus.",
    "arxiv_id": "2601.10275",
    "authors": [
      "Kei Beauduin"
    ],
    "categories": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "On a general identity and a resulting class of umbral operators",
    "url": "https://arxiv.org/abs/2601.10275",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "02f7ee4f-12d8-4533-b801-accc65680500",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}