Pith Number

pith:TFOEZ75N

pith:2011:TFOEZ75NSJ67ARNPUVBRKOHNDV

not attested not anchored not stored refs pending

Multivariate Bernoulli and Euler polynomials via L\'evy processes

E. Di Nardo, I. Oliva

arxiv:1108.1615 v2 · 2011-08-08 · 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{TFOEZ75NSJ67ARNPUVBRKOHNDV}

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	2026-05-18T03:58:39.568641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995c4cffad927df045afa5431538ed1d4ec675c09cd92929b5e53de453fd94e0

Aliases

arxiv: 1108.1615 · arxiv_version: 1108.1615v2 · doi: 10.48550/arxiv.1108.1615 · pith_short_12: TFOEZ75NSJ67 · pith_short_16: TFOEZ75NSJ67ARNP · pith_short_8: TFOEZ75N

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/TFOEZ75NSJ67ARNPUVBRKOHNDV \
  | 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: 995c4cffad927df045afa5431538ed1d4ec675c09cd92929b5e53de453fd94e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "391814074167461a3534577266e6f3791b1cf6a1c93aeaef0b7945b8d392b761",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-08T07:17:56Z",
    "title_canon_sha256": "6e25b834a05eeb7c4327b340abc131d3a5897ffba151141b382ecaa3787e45e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1615",
    "kind": "arxiv",
    "version": 2
  }
}