Pith Number

pith:XXKT5OVI

pith:2015:XXKT5OVIEFCLRS7YE2M4JEXMYN

not attested not anchored not stored refs pending

Random matrix ensembles involving Gaussian Wigner and Wishart matrices, and biorthogonal structure

Santosh Kumar

arxiv:1504.01281 v3 · 2015-04-06 · math-ph · math.MP · math.ST · stat.AP · 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{XXKT5OVIEFCLRS7YE2M4JEXMYN}

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	2026-05-18T01:33:05.980250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd53ebaa82144b8cbf82699c492ecc34e01832fa486836518a0e10cd72329d2

Aliases

arxiv: 1504.01281 · arxiv_version: 1504.01281v3 · doi: 10.48550/arxiv.1504.01281 · pith_short_12: XXKT5OVIEFCL · pith_short_16: XXKT5OVIEFCLRS7Y · pith_short_8: XXKT5OVI

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/XXKT5OVIEFCLRS7YE2M4JEXMYN \
  | 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: bdd53ebaa82144b8cbf82699c492ecc34e01832fa486836518a0e10cd72329d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e138e66c8ab4c905c5e0f40727477ced91ed35f081538eddee8f25018984f490",
    "cross_cats_sorted": [
      "math.MP",
      "math.ST",
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-06T13:18:40Z",
    "title_canon_sha256": "d8e012365a5fc2c175ca27c1a729f170cc22359014a56f03e545fd5b1458de03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01281",
    "kind": "arxiv",
    "version": 3
  }
}