Pith Number

pith:C4GTFQDM

pith:2014:C4GTFQDMJS73JJLPVT3VBWSTLO

not attested not anchored not stored refs pending

Multiparameter poly-Cauchy and poly-Bernoulli numbers and polynomials

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

arxiv:1410.5300 v1 · 2014-10-20 · 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{C4GTFQDMJS73JJLPVT3VBWSTLO}

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	2026-05-18T02:39:46.380261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170d32c06c4cbfb4a56facf750da535babb12ecd0cfa0b43079a374c41568ad8

Aliases

arxiv: 1410.5300 · arxiv_version: 1410.5300v1 · doi: 10.48550/arxiv.1410.5300 · pith_short_12: C4GTFQDMJS73 · pith_short_16: C4GTFQDMJS73JJLP · pith_short_8: C4GTFQDM

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/C4GTFQDMJS73JJLPVT3VBWSTLO \
  | 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: 170d32c06c4cbfb4a56facf750da535babb12ecd0cfa0b43079a374c41568ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bdb045a0137f05ce45a756f2356590b55d1acc0f6e8281ca388f117ae11cabd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-20T14:44:01Z",
    "title_canon_sha256": "c397ac3739187fc3e0f32743c26b88ec5b65d674d8d28616187de47332691255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5300",
    "kind": "arxiv",
    "version": 1
  }
}