Pith Number

pith:V3OU6KQ3

pith:2015:V3OU6KQ3S64ABUXUEOTTK3HKDU

not attested not anchored not stored refs pending

Muttalib--Borodin ensembles in random matrix theory --- realisations and correlation functions

Dong Wang, Peter J. Forrester

arxiv:1502.07147 v4 · 2015-02-25 · math-ph · math.CA · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3OU6KQ3S64ABUXUEOTTK3HKDU}

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	2026-05-18T00:44:39.123161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aedd4f2a1b97b800d2f423a7356cea1d114efc4046df3b7c081ea9db7dc0bb7f

Aliases

arxiv: 1502.07147 · arxiv_version: 1502.07147v4 · doi: 10.48550/arxiv.1502.07147 · pith_short_12: V3OU6KQ3S64A · pith_short_16: V3OU6KQ3S64ABUXU · pith_short_8: V3OU6KQ3

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/V3OU6KQ3S64ABUXUEOTTK3HKDU \
  | 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: aedd4f2a1b97b800d2f423a7356cea1d114efc4046df3b7c081ea9db7dc0bb7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444420ecd5911b3e9de32ad9c2deeb8e592f6ce7bfa9f445bcbafa9304f7b556",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-25T12:19:39Z",
    "title_canon_sha256": "2a32efeba241bc5cd5b373af82a7b06afa633cd6f1f623df93943c39431ed925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07147",
    "kind": "arxiv",
    "version": 4
  }
}