Pith Number

pith:3OLD53LB

pith:2014:3OLD53LBIF4PHUX2GWXDTBQX5P

not attested not anchored not stored refs pending

Spectral density of generalized Wishart matrices and free multiplicative convolution

Karol A. Penson, Karol Zyczkowski, Maciej A. Nowak, Wojciech Mlotkowski

arxiv:1407.1282 v4 · 2014-07-04 · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OLD53LBIF4PHUX2GWXDTBQX5P}

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	2026-05-18T01:36:51.681437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db963eed614178f3d2fa35ae398617ebd1248417749e9c4142d7ef73780bef53

Aliases

arxiv: 1407.1282 · arxiv_version: 1407.1282v4 · doi: 10.48550/arxiv.1407.1282 · pith_short_12: 3OLD53LBIF4P · pith_short_16: 3OLD53LBIF4PHUX2 · pith_short_8: 3OLD53LB

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/3OLD53LBIF4PHUX2GWXDTBQX5P \
  | 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: db963eed614178f3d2fa35ae398617ebd1248417749e9c4142d7ef73780bef53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d0847ad2a4edceb7162189c0701c0eff2e2cbc5bb2f0e2f904e06161cf7687",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-07-04T17:24:32Z",
    "title_canon_sha256": "21c310aee2d33deb51ad5821ed7d818c6fec1eeef0813949b9ca41fdd2f7049c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1282",
    "kind": "arxiv",
    "version": 4
  }
}