Pith Number

pith:EL4VC4AH

pith:2009:EL4VC4AH2IMVB3ETFN3XJHXJ2N

not attested not anchored not stored refs pending

Cumulants as iterated integrals

Franz Lehner

arxiv:0905.3375 v1 · 2009-05-20 · math.PR · 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{EL4VC4AH2IMVB3ETFN3XJHXJ2N}

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	2026-05-18T03:39:14.890234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22f9517007d21950ec932b77749ee9d37f663e58eee21dfb5b1470921516f845

Aliases

arxiv: 0905.3375 · arxiv_version: 0905.3375v1 · doi: 10.48550/arxiv.0905.3375 · pith_short_12: EL4VC4AH2IMV · pith_short_16: EL4VC4AH2IMVB3ET · pith_short_8: EL4VC4AH

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/EL4VC4AH2IMVB3ETFN3XJHXJ2N \
  | 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: 22f9517007d21950ec932b77749ee9d37f663e58eee21dfb5b1470921516f845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b90c22d7f7cf05d02fa8e10c8ec49ac4d8ae65f637aafce4be6154c692669ff",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-20T19:20:41Z",
    "title_canon_sha256": "1b08fd08c0bfc1a2ce1f9c7420db443693f5536a357b512af48f43d8585ce66d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3375",
    "kind": "arxiv",
    "version": 1
  }
}