Pith Number

pith:P2562OGH

pith:2019:P2562OGHZOPAR6V52DMXKJ4JRW

not attested not anchored not stored refs pending

Independence Properties of the Truncated Multivariate Elliptical Distributions

Donald Richards, Jianxi Su, Michael Levine

arxiv:1904.06412 v2 · 2019-04-12 · 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{P2562OGHZOPAR6V52DMXKJ4JRW}

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	2026-05-17T23:44:28.752962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ebbed38c7cb9e08fabdd0d97527898d97c1c22ba2ffd367cb8371b7ba831b4c

Aliases

arxiv: 1904.06412 · arxiv_version: 1904.06412v2 · doi: 10.48550/arxiv.1904.06412 · pith_short_12: P2562OGHZOPA · pith_short_16: P2562OGHZOPAR6V5 · pith_short_8: P2562OGH

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/P2562OGHZOPAR6V52DMXKJ4JRW \
  | 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: 7ebbed38c7cb9e08fabdd0d97527898d97c1c22ba2ffd367cb8371b7ba831b4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69a6f1f85947e20499a7abf91d1b3ac4d7c37d691a46afd4f7591d8e2428e87c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-04-12T20:43:56Z",
    "title_canon_sha256": "bd5052d4610868d368ec023e64889e8511d1a30971ef4a97b201db450624363b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06412",
    "kind": "arxiv",
    "version": 2
  }
}