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Pith Number

pith:CCPZZR7M

pith:2025:CCPZZR7MFEORFV7CVFED4FWV4K
not attested not anchored not stored refs pending

Gauss-Appell polynomials: An umbral calculus approach

Mehnaz Haneef, Serkan Araci, Subuhi Khan, Ujair Ahmad

arxiv:2504.05737 v3 · 2025-04-08 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CCPZZR7MFEORFV7CVFED4FWV4K}

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Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T11:31:44.704487Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

109f9cc7ec291d12d7e2a9483e16d5e2b4b17f32da0125bce670b3a332c6cdcf

Aliases

arxiv: 2504.05737 · arxiv_version: 2504.05737v3 · doi: 10.48550/arxiv.2504.05737 · pith_short_12: CCPZZR7MFEOR · pith_short_16: CCPZZR7MFEORFV7C · pith_short_8: CCPZZR7M
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CCPZZR7MFEORFV7CVFED4FWV4K \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 109f9cc7ec291d12d7e2a9483e16d5e2b4b17f32da0125bce670b3a332c6cdcf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d825d781b56148229314a418a00904599a773fd486c069886d746eb73638714e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-04-08T07:12:20Z",
    "title_canon_sha256": "8257222b5f24afbf49dd3735c9650a53e139f2b1d396701141692db47514ef01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05737",
    "kind": "arxiv",
    "version": 3
  }
}