Pith Number

pith:36PCVJA5

pith:2012:36PCVJA5XYAOGNTYKLCMV4KFSW

not attested not anchored not stored refs pending

A New Approach to Multivariate q-Euler polynomials by using Umbral calculus

Erdo\u{g}an \c{S}en, Mehmet Acikgoz, Serkan Araci, Xiangxing Kong

arxiv:1211.4062 v2 · 2012-11-16 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36PCVJA5XYAOGNTYKLCMV4KFSW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T03:00:26.789505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9e2aa41dbe00e3367852c4caf14595bffbdbc12d697f1a7f56a23a0d42af16

Aliases

arxiv: 1211.4062 · arxiv_version: 1211.4062v2 · doi: 10.48550/arxiv.1211.4062 · pith_short_12: 36PCVJA5XYAO · pith_short_16: 36PCVJA5XYAOGNTY · pith_short_8: 36PCVJA5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/36PCVJA5XYAOGNTYKLCMV4KFSW \
  | 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: df9e2aa41dbe00e3367852c4caf14595bffbdbc12d697f1a7f56a23a0d42af16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "becb210ff91a56b31b4eac1afef2da26eb016059c31f70a76774bd2a770be969",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-16T23:16:42Z",
    "title_canon_sha256": "a46a969f08d14e25450a8e4158068eadde2f9230a1a157693a3fb24b6c63f6bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4062",
    "kind": "arxiv",
    "version": 2
  }
}