Pith Number

pith:6XOS7W42

pith:2015:6XOS7W42W6DYJ2NA773OENZBWA

not attested not anchored not stored refs pending

Spectral correlation functions of the sum of two independent complex Wishart matrices with unequal covariances

Gernot Akemann, Mario Kieburg, Tomasz Checinski

arxiv:1509.03466 v3 · 2015-09-11 · math-ph · cond-mat.stat-mech · 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{6XOS7W42W6DYJ2NA773OENZBWA}

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	2026-05-18T01:11:37.447300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5dd2fdb9ab78784e9a0fff6e23721b02045a1c5143ee5b4d380b04ee18f04d1

Aliases

arxiv: 1509.03466 · arxiv_version: 1509.03466v3 · doi: 10.48550/arxiv.1509.03466 · pith_short_12: 6XOS7W42W6DY · pith_short_16: 6XOS7W42W6DYJ2NA · pith_short_8: 6XOS7W42

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/6XOS7W42W6DYJ2NA773OENZBWA \
  | 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: f5dd2fdb9ab78784e9a0fff6e23721b02045a1c5143ee5b4d380b04ee18f04d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689df56326cfd914411d76b401435fc57141348ad3a6d873802ff3ff9029c72d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-11T11:48:46Z",
    "title_canon_sha256": "cc1e43c28de0a67e6586a222758d9603e3f0e772196bab5a994160f1046d0e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03466",
    "kind": "arxiv",
    "version": 3
  }
}