Pith Number

pith:5VKRDB67

pith:2014:5VKRDB67REBUR2BOQCMVJ3EG37

not attested not anchored not stored refs pending

Eigenvalue statistics for the sum of two complex Wishart matrices

Santosh Kumar

arxiv:1406.6638 v2 · 2014-06-25 · math-ph · math.MP · 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{5VKRDB67REBUR2BOQCMVJ3EG37}

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	2026-05-18T02:42:14.354042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed551187df890348e82e809954ec86dfd48b5ae4794f8549b49c76acbe789d28

Aliases

arxiv: 1406.6638 · arxiv_version: 1406.6638v2 · doi: 10.48550/arxiv.1406.6638 · pith_short_12: 5VKRDB67REBU · pith_short_16: 5VKRDB67REBUR2BO · pith_short_8: 5VKRDB67

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/5VKRDB67REBUR2BOQCMVJ3EG37 \
  | 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: ed551187df890348e82e809954ec86dfd48b5ae4794f8549b49c76acbe789d28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb0d4764f29d60d6d6aa09869652ef1a7bf32030d93e40be4b93f6410042992",
    "cross_cats_sorted": [
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-25T16:55:03Z",
    "title_canon_sha256": "ade08751c5b439e88995258e13f1d75067bb4975b51c502b85275dd06c8afa9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6638",
    "kind": "arxiv",
    "version": 2
  }
}