Pith Number

pith:QBYY3M2K

pith:2021:QBYY3M2KEOYQQI6JEHN77C3NNB

not attested not anchored not stored refs pending

Finite Free Cumulants: Multiplicative Convolutions, Genus Expansion and Infinitesimal Distributions

Daniel Perales, Jorge Garza-Vargas, Octavio Arizmendi

arxiv:2108.08489 v2 · 2021-08-19 · math.CO · math.OA · 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{QBYY3M2KEOYQQI6JEHN77C3NNB}

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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.

Cited by

1 paper in Pith

Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators

Receipt and verification

First computed	2026-07-05T08:26:08.872168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80718db34a23b10823c921dbff8b6d6856acb69310b71cc152134165d47cbfb4

Aliases

arxiv: 2108.08489 · arxiv_version: 2108.08489v2 · doi: 10.48550/arxiv.2108.08489 · pith_short_12: QBYY3M2KEOYQ · pith_short_16: QBYY3M2KEOYQQI6J · pith_short_8: QBYY3M2K

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/QBYY3M2KEOYQQI6JEHN77C3NNB \
  | 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: 80718db34a23b10823c921dbff8b6d6856acb69310b71cc152134165d47cbfb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f35a656c6b2f5955affdccf41e9db0eb16e2b3fbfa5f4310fb8a6d9015850a0",
    "cross_cats_sorted": [
      "math.OA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-08-19T04:11:32Z",
    "title_canon_sha256": "44b80123f0452cd0a57f13f0df7127e3116ce0491eb030a1864940fe8d25b415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.08489",
    "kind": "arxiv",
    "version": 2
  }
}