Pith Number

pith:5VFFLMRG

pith:2012:5VFFLMRGTDIF727IV6JNIB7CDR

not attested not anchored not stored refs pending

Invariant $\beta$-ensembles and the Gauss-Wigner crossover

Alice Guionnet, Jean-Philippe Bouchaud, Romain Allez

arxiv:1205.3598 v2 · 2012-05-16 · math.PR · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VFFLMRGTDIF727IV6JNIB7CDR}

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	2026-05-18T03:35:25.912399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4a55b22698d05febe8af92d407e21c5de9dabc7fbe91b968320d753e56b641

Aliases

arxiv: 1205.3598 · arxiv_version: 1205.3598v2 · doi: 10.48550/arxiv.1205.3598 · pith_short_12: 5VFFLMRGTDIF · pith_short_16: 5VFFLMRGTDIF727I · pith_short_8: 5VFFLMRG

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/5VFFLMRGTDIF727IV6JNIB7CDR \
  | 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: ed4a55b22698d05febe8af92d407e21c5de9dabc7fbe91b968320d753e56b641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c846f87a612cbccf73644d2f3edfe24604c138516ea3d42d4a6f1e1514b6d4d4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-16T08:46:18Z",
    "title_canon_sha256": "10218514f75b41bee0494e4adeb2b910cdfdccb016ea954cd001c5ffc3d6cb15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3598",
    "kind": "arxiv",
    "version": 2
  }
}