Pith Number

pith:RFD5L672

pith:2023:RFD5L672MZNTL5P26GJGDL4DDY

not attested not anchored not stored refs pending

Decomposition of free cumulants

Romuald Lenczewski

arxiv:2307.02281 v2 · 2023-07-05 · math.OA · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFD5L672MZNTL5P26GJGDL4DDY}

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	2026-06-23T02:13:11.843937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8947d5fbfa665b35f5faf19261af831e1cd658ceb8d2c1cde40125801a3f179a

Aliases

arxiv: 2307.02281 · arxiv_version: 2307.02281v2 · doi: 10.48550/arxiv.2307.02281 · pith_short_12: RFD5L672MZNT · pith_short_16: RFD5L672MZNTL5P2 · pith_short_8: RFD5L672

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/RFD5L672MZNTL5P26GJGDL4DDY \
  | 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: 8947d5fbfa665b35f5faf19261af831e1cd658ceb8d2c1cde40125801a3f179a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a23554ffc3c91a4716bd4eef7169f595b48bfe22efb049996151d37421b25a1c",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-07-05T13:30:31Z",
    "title_canon_sha256": "75a4f9f776a6c4a2e97d14babda490dfbc9f784b719dd5a7b5cf85811f49a7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.02281",
    "kind": "arxiv",
    "version": 2
  }
}