Pith Number

pith:VHE46HPC

pith:2014:VHE46HPCKJNO7TF3P4BY44GEGV

not attested not anchored not stored refs pending

New Extension of Unified Family of Apostol-Type of Polynomials and Numbers

B. S. El-Desouky, R. S. Gomaa

arxiv:1412.8258 v1 · 2014-12-29 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHE46HPCKJNO7TF3P4BY44GEGV}

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	2026-05-18T02:30:23.675457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c9cf1de2525aefccbb7f038e70c4355f1fd206f6ac072f0396aac690f460cd

Aliases

arxiv: 1412.8258 · arxiv_version: 1412.8258v1 · doi: 10.48550/arxiv.1412.8258 · pith_short_12: VHE46HPCKJNO · pith_short_16: VHE46HPCKJNO7TF3 · pith_short_8: VHE46HPC

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/VHE46HPCKJNO7TF3P4BY44GEGV \
  | 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: a9c9cf1de2525aefccbb7f038e70c4355f1fd206f6ac072f0396aac690f460cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eadd0294868a4dca6938513dbdf1758c35c3dfc25b19adec70a16ad933df94b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-29T05:04:45Z",
    "title_canon_sha256": "6453e8673bcec6a6eb5642e3a494ee1515398d6a3793e9b0df6d2f6a906e959d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8258",
    "kind": "arxiv",
    "version": 1
  }
}