Pith Number

pith:QOWQCSZ7

pith:2015:QOWQCSZ7ZIDC3WF64MJTKYP7XB

not attested not anchored not stored refs pending

An analogue of the L\'{e}vy-Hin\v{c}in formula for bi-free infinitely divisible distributions

Hao-Wei Huang, James A. Mingo, Yinzheng Gu

arxiv:1501.05369 v2 · 2015-01-22 · 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{QOWQCSZ7ZIDC3WF64MJTKYP7XB}

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	2026-05-18T01:37:07.589488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ad014b3fca062dd8bee3133561ffb87c91fcce9011b90770f1cc602ff92144

Aliases

arxiv: 1501.05369 · arxiv_version: 1501.05369v2 · doi: 10.48550/arxiv.1501.05369 · pith_short_12: QOWQCSZ7ZIDC · pith_short_16: QOWQCSZ7ZIDC3WF6 · pith_short_8: QOWQCSZ7

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/QOWQCSZ7ZIDC3WF64MJTKYP7XB \
  | 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: 83ad014b3fca062dd8bee3133561ffb87c91fcce9011b90770f1cc602ff92144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307df6f95fac488201b8cecad3feb8c91c7f8c06e21004ca5adb506c5f561c94",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-01-22T02:03:05Z",
    "title_canon_sha256": "44a5e78c021ed19e14f82ab4456104128e92f9bd2eab7ad167c5582024444e3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05369",
    "kind": "arxiv",
    "version": 2
  }
}