Pith Number

pith:ODG5QNTW

pith:2017:ODG5QNTWCZNXKGKZVFCN42HMV3

not attested not anchored not stored refs pending

A generalization of Apostol type of Hermite-Genocchi polynomials

Alia M. Magar, Beih S. El-Desouky, Rabab S. Gomaa

arxiv:1708.06619 v2 · 2017-08-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODG5QNTWCZNXKGKZVFCN42HMV3}

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	2026-05-18T00:01:39.017183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70cdd83676165b751959a944de68ecaef85e2469611ed9f27d655281b217c765

Aliases

arxiv: 1708.06619 · arxiv_version: 1708.06619v2 · doi: 10.48550/arxiv.1708.06619 · pith_short_12: ODG5QNTWCZNX · pith_short_16: ODG5QNTWCZNXKGKZ · pith_short_8: ODG5QNTW

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/ODG5QNTWCZNXKGKZVFCN42HMV3 \
  | 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: 70cdd83676165b751959a944de68ecaef85e2469611ed9f27d655281b217c765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b6120eb6f7f6b1b63e0b5f8250606b122e622cda1a862da5946729539b29d2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-18T15:48:43Z",
    "title_canon_sha256": "7ecb51397e0a10d9f1deec99343a1e4f2d8c948e69caffb52313d112c1ac36d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06619",
    "kind": "arxiv",
    "version": 2
  }
}