Pith Number

pith:PJ6ZONRQ

pith:2011:PJ6ZONRQMZCFHZVQEVP4FD7SL7

not attested not anchored not stored refs pending

Extreme Eigenvalue Distributions of Some Complex Correlated Non-Central Wishart and Gamma-Wishart Random Matrices

Matthew R. McKay, Prathapasinghe Dharmawansa

arxiv:1101.1001 v1 · 2011-01-05 · math.ST · cs.IT · math.IT · 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{PJ6ZONRQMZCFHZVQEVP4FD7SL7}

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	2026-05-18T02:23:05.347915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7d973630664453e6b0255fc28ff25ff903cebde142aae609f5b181efba4bec

Aliases

arxiv: 1101.1001 · arxiv_version: 1101.1001v1 · doi: 10.48550/arxiv.1101.1001 · pith_short_12: PJ6ZONRQMZCF · pith_short_16: PJ6ZONRQMZCFHZVQ · pith_short_8: PJ6ZONRQ

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/PJ6ZONRQMZCFHZVQEVP4FD7SL7 \
  | 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: 7a7d973630664453e6b0255fc28ff25ff903cebde142aae609f5b181efba4bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b96ae8314447a552cefa438e14e53e22631c8dd9c30836a0d64ffb495a4f318",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-01-05T15:12:45Z",
    "title_canon_sha256": "b0440b2f0998c5c874283a2ff1dee0d0e3c741884461acb7af58dee281c4c4db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1001",
    "kind": "arxiv",
    "version": 1
  }
}