Pith Number

pith:AUKAB73U

pith:2015:AUKAB73UJSBQLGBYN7QJZ5PKPQ

not attested not anchored not stored refs pending

New Results on Higher-Order Daehee and Bernoulli Numbers and Polynomials

Abdelfattah Mustafa, B. S. El-Desouky

arxiv:1503.00104 v1 · 2015-02-28 · 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{AUKAB73UJSBQLGBYN7QJZ5PKPQ}

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	2026-05-18T02:25:55.148741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051400ff744c830598386fe09cf5ea7c0f37fcfc867b354f9cd87e6ea1f0cc9f

Aliases

arxiv: 1503.00104 · arxiv_version: 1503.00104v1 · doi: 10.48550/arxiv.1503.00104 · pith_short_12: AUKAB73UJSBQ · pith_short_16: AUKAB73UJSBQLGBY · pith_short_8: AUKAB73U

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/AUKAB73UJSBQLGBYN7QJZ5PKPQ \
  | 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: 051400ff744c830598386fe09cf5ea7c0f37fcfc867b354f9cd87e6ea1f0cc9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "004db48e0aaf03f62d57c5b868e6eace7bf3274790665d4bf2600cbdf48030a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-28T09:25:37Z",
    "title_canon_sha256": "2256ef3e0fa343ff07a577e3da47d5c12c446a60733114a4f27656f168048add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00104",
    "kind": "arxiv",
    "version": 1
  }
}