Pith Number

pith:OWBFT7F6

pith:2008:OWBFT7F6R2IMJDOUMCEBVVASGI

not attested not anchored not stored refs pending

Extended Zeilberger's Algorithm for Identities on Bernoulli and Euler Polynomials

Lisa H. Sun, William Y. C. Chen

arxiv:0810.0438 v3 · 2008-10-02 · math.CO · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OWBFT7F6R2IMJDOUMCEBVVASGI}

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	2026-05-18T04:09:25.476338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

758259fcbe8e90c48dd460881ad4123229d623322886fac8e884dd734e1e63df

Aliases

arxiv: 0810.0438 · arxiv_version: 0810.0438v3 · doi: 10.48550/arxiv.0810.0438 · pith_short_12: OWBFT7F6R2IM · pith_short_16: OWBFT7F6R2IMJDOU · pith_short_8: OWBFT7F6

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/OWBFT7F6R2IMJDOUMCEBVVASGI \
  | 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: 758259fcbe8e90c48dd460881ad4123229d623322886fac8e884dd734e1e63df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec8b39e39d43eb1932774e1c83b2ded6dd1be1b4a458eaa363908f1c854bd1d5",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-10-02T15:04:49Z",
    "title_canon_sha256": "d288406905659c6d47c6bec6123ede85d14e35e4c12b657b9c7c06106217c39a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0438",
    "kind": "arxiv",
    "version": 3
  }
}