Pith Number

pith:HFHHXUT3

pith:2009:HFHHXUT3KVLM2EB4LAIPUYDC35

not attested not anchored not stored refs pending

Graph presentations for moments of noncentral Wishart distributions and their applications

Satoshi Kuriki, Yasuhide Numata

arxiv:0912.0577 v2 · 2009-12-03 · 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{HFHHXUT3KVLM2EB4LAIPUYDC35}

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	2026-05-18T02:55:27.995801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

394e7bd27b5556cd103c5810fa6062df48d97b8eca876b199fc50c6dd3d8f7e4

Aliases

arxiv: 0912.0577 · arxiv_version: 0912.0577v2 · doi: 10.48550/arxiv.0912.0577 · pith_short_12: HFHHXUT3KVLM · pith_short_16: HFHHXUT3KVLM2EB4 · pith_short_8: HFHHXUT3

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/HFHHXUT3KVLM2EB4LAIPUYDC35 \
  | 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: 394e7bd27b5556cd103c5810fa6062df48d97b8eca876b199fc50c6dd3d8f7e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09939cd31f03c6309673523d237ecdd9354da37d2f8343abb6c31ad2c971fe9f",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2009-12-03T05:10:15Z",
    "title_canon_sha256": "5616d76b3a4d37ffb873b3e8925f9ae3eb2425bb4dd68bcf3e5f1eff1dcda720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0577",
    "kind": "arxiv",
    "version": 2
  }
}