Pith Number

pith:WNBV76DD

pith:2014:WNBV76DD5QYCMPZLT657JRPMTD

not attested not anchored not stored refs pending

A central limit theorem for products of random matrices and GOE statistics for the Anderson model on long boxes

B\'alint Vir\'ag, Christian Sadel

arxiv:1411.1040 v2 · 2014-11-04 · math-ph · math.MP · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNBV76DD5QYCMPZLT657JRPMTD}

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	2026-05-18T00:26:02.543297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3435ff863ec30263f2b9fbbf4c5ec98faf3d172b14e951d846c027a3114bcd3

Aliases

arxiv: 1411.1040 · arxiv_version: 1411.1040v2 · doi: 10.48550/arxiv.1411.1040 · pith_short_12: WNBV76DD5QYC · pith_short_16: WNBV76DD5QYCMPZL · pith_short_8: WNBV76DD

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/WNBV76DD5QYCMPZLT657JRPMTD \
  | 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: b3435ff863ec30263f2b9fbbf4c5ec98faf3d172b14e951d846c027a3114bcd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6152e5d4225820e366ae20dcc58af7cb2fab0c196b668c6f29a62de1d52918",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-04T20:45:45Z",
    "title_canon_sha256": "42671760272ae6525e2813b873193e4832b39135697432be8bd1f962498d7f55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1040",
    "kind": "arxiv",
    "version": 2
  }
}