Pith Number

pith:MRQA4RQF

pith:2012:MRQA4RQF3KW6FGCTSFEHW6ECK6

not attested not anchored not stored refs pending

A Class of Infinitely Divisible Multivariate and Matrix Gamma Distributions and Cone-valued Generalised Gamma Convolutions

Robert Stelzer, Victor P\'erez-Abreu

arxiv:1201.1461 v1 · 2012-01-06 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRQA4RQF3KW6FGCTSFEHW6ECK6}

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	2026-05-18T02:21:18.898414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64600e4605daade2985391487b788257a950ad79e73225790dcff7e565fc71e7

Aliases

arxiv: 1201.1461 · arxiv_version: 1201.1461v1 · doi: 10.48550/arxiv.1201.1461 · pith_short_12: MRQA4RQF3KW6 · pith_short_16: MRQA4RQF3KW6FGCT · pith_short_8: MRQA4RQF

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/MRQA4RQF3KW6FGCTSFEHW6ECK6 \
  | 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: 64600e4605daade2985391487b788257a950ad79e73225790dcff7e565fc71e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64c486f514dee3d0b4167ca75b65a50d9a62a53cd2afa9d85042e8c8885ecf14",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-06T18:01:12Z",
    "title_canon_sha256": "ebd1af6f2bbad7a220812d683ba95ec4eeeedaf4fff4279808094659ff832010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1461",
    "kind": "arxiv",
    "version": 1
  }
}