Pith Number

pith:S5L7U2BA

pith:2010:S5L7U2BAI7ARPADBJ4UPNEDT2Y

not attested not anchored not stored refs pending

Generalised shape theory via pseudo-Wishart distribution

Francisco J. Caro-Lopera, Jos\'e A. D\'iaz-Garc\'ia

arxiv:1009.3168 v1 · 2010-09-16 · 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{S5L7U2BAI7ARPADBJ4UPNEDT2Y}

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	2026-05-18T04:40:46.846421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9757fa682047c11780614f28f69073d626424c181e13c019814843f2d34a2713

Aliases

arxiv: 1009.3168 · arxiv_version: 1009.3168v1 · doi: 10.48550/arxiv.1009.3168 · pith_short_12: S5L7U2BAI7AR · pith_short_16: S5L7U2BAI7ARPADB · pith_short_8: S5L7U2BA

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/S5L7U2BAI7ARPADBJ4UPNEDT2Y \
  | 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: 9757fa682047c11780614f28f69073d626424c181e13c019814843f2d34a2713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe144e8d45c19f815dd19130576a9f550dc6f5962bd3f14aa589478794b4cd22",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-09-16T13:03:45Z",
    "title_canon_sha256": "4cbbf24272cec9885f7c3c0180b940033faf0b0d130d5dfaa35cfbcba1c27cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3168",
    "kind": "arxiv",
    "version": 1
  }
}