Pith Number

pith:CZ7ARRFI

pith:2012:CZ7ARRFIPDPBRJBSQ5342YDTFA

not attested not anchored not stored refs pending

The Zagier modification of Bernoulli numbers and a polynomial extension. Part I

Atul Dixit, Christophe Vignat, Victor H. Moll

arxiv:1209.4110 v1 · 2012-09-18 · 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{CZ7ARRFIPDPBRJBSQ5342YDTFA}

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	2026-05-18T03:45:21.561874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167e08c4a878de18a4328777cd6073280fb558767195a3f1fa1e72d4c54a6c7c

Aliases

arxiv: 1209.4110 · arxiv_version: 1209.4110v1 · doi: 10.48550/arxiv.1209.4110 · pith_short_12: CZ7ARRFIPDPB · pith_short_16: CZ7ARRFIPDPBRJBS · pith_short_8: CZ7ARRFI

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/CZ7ARRFIPDPBRJBSQ5342YDTFA \
  | 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: 167e08c4a878de18a4328777cd6073280fb558767195a3f1fa1e72d4c54a6c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2bc5dac94c7f87582842966b21f84a0fc6ee52505da5a1de522fad813a0cfb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-18T21:35:59Z",
    "title_canon_sha256": "508c6e60ae21e097873327911db41ef8ac9a2a83a1eae682c19e8b51234bd652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4110",
    "kind": "arxiv",
    "version": 1
  }
}