Pith Number

pith:WZICUTDE

pith:2013:WZICUTDE4CESN4HKP3QEN7DPKK

not attested not anchored not stored refs pending

Free nested cumulants and an analogue of a formula of Brillinger

Franz Lehner

arxiv:1312.5671 v1 · 2013-12-19 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZICUTDE4CESN4HKP3QEN7DPKK}

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	2026-05-18T03:04:14.327326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6502a4c64e08926f0ea7ee046fc6f52aee376fd40a31223c5e1e08800d26fa5

Aliases

arxiv: 1312.5671 · arxiv_version: 1312.5671v1 · doi: 10.48550/arxiv.1312.5671 · pith_short_12: WZICUTDE4CES · pith_short_16: WZICUTDE4CESN4HK · pith_short_8: WZICUTDE

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/WZICUTDE4CESN4HKP3QEN7DPKK \
  | 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: b6502a4c64e08926f0ea7ee046fc6f52aee376fd40a31223c5e1e08800d26fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4da138d1cfd15a76c20fdc0a7dc7ffd5dcad75ee39cbe5b3f7d43503b211126",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-12-19T17:59:48Z",
    "title_canon_sha256": "278b8434ed17d6420ff205a5770b95ff67b573fb8ae141c2c293a13d473bee88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5671",
    "kind": "arxiv",
    "version": 1
  }
}