Pith Number

pith:FVUSELWV

pith:2014:FVUSELWVTBOVKT2VM2JZWXT6XC

not attested not anchored not stored refs pending

New Results and Matrix Representation for Daehee and Bernoulli Numbers and Polynomials

Abdelfattah Mustafa, B. S. El-Desouky

arxiv:1412.8259 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{FVUSELWVTBOVKT2VM2JZWXT6XC}

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	2026-05-18T02:30:23.667904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d69222ed5985d554f5566939b5e7eb896552de5b53104410920e89be87fd058

Aliases

arxiv: 1412.8259 · arxiv_version: 1412.8259v1 · doi: 10.48550/arxiv.1412.8259 · pith_short_12: FVUSELWVTBOV · pith_short_16: FVUSELWVTBOVKT2V · pith_short_8: FVUSELWV

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/FVUSELWVTBOVKT2VM2JZWXT6XC \
  | 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: 2d69222ed5985d554f5566939b5e7eb896552de5b53104410920e89be87fd058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daae7e4441c9b82360ab1552ac0e6adf539077eacf7e8328f26ac692e953c97f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-29T05:12:02Z",
    "title_canon_sha256": "e419e1bc0146d5f3d4e4bb734f6e8e0f4dc909c9edff4812020a25a3414e087e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8259",
    "kind": "arxiv",
    "version": 1
  }
}