Pith Number

pith:MQ4VQH3T

pith:2017:MQ4VQH3TIVDHYIVASYUW5KQTTA

not attested not anchored not stored refs pending

Monotone, free, and boolean cumulants: a shuffle algebra approach

Frederic Patras, Kurusch Ebrahimi-Fard

arxiv:1701.06152 v2 · 2017-01-22 · math.CO · math.FA · 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{MQ4VQH3TIVDHYIVASYUW5KQTTA}

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	2026-05-18T00:24:43.050904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6439581f7345467c22a096296eaa139808816c298c5d819a3403b6fdcb0b6c83

Aliases

arxiv: 1701.06152 · arxiv_version: 1701.06152v2 · doi: 10.48550/arxiv.1701.06152 · pith_short_12: MQ4VQH3TIVDH · pith_short_16: MQ4VQH3TIVDHYIVA · pith_short_8: MQ4VQH3T

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/MQ4VQH3TIVDHYIVASYUW5KQTTA \
  | 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: 6439581f7345467c22a096296eaa139808816c298c5d819a3403b6fdcb0b6c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da8797b5aeed2a104fbf65ad589afcc41de96236ca1df5a0a89bb901f2e9b4de",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-22T10:53:15Z",
    "title_canon_sha256": "5144eac90042a24798e81c8f1394b14f8a9fd1caf7cb20722e416a1976cc1906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06152",
    "kind": "arxiv",
    "version": 2
  }
}