Pith Number

pith:4R32AYF3

pith:2011:4R32AYF3LZGQDRWIJHRT32YZJZ

not attested not anchored not stored refs pending

Central limit theorem for fluctuations of linear eigenvalue statistics of large random graphs. Diluted regime

Brunello Tirozzi, Maria Shcherbina

arxiv:1111.5492 v1 · 2011-11-23 · math-ph · 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{4R32AYF3LZGQDRWIJHRT32YZJZ}

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	2026-05-18T01:59:26.321695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e477a060bb5e4d01c6c849e33deb194e7df0247cb1ef78eb2910d579d88170f2

Aliases

arxiv: 1111.5492 · arxiv_version: 1111.5492v1 · doi: 10.48550/arxiv.1111.5492 · pith_short_12: 4R32AYF3LZGQ · pith_short_16: 4R32AYF3LZGQDRWI · pith_short_8: 4R32AYF3

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/4R32AYF3LZGQDRWIJHRT32YZJZ \
  | 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: e477a060bb5e4d01c6c849e33deb194e7df0247cb1ef78eb2910d579d88170f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2bb99b0d8b0ce0e835362578a58b242b0c1187c92832e13bcd75c1e0de82f42",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-23T13:47:31Z",
    "title_canon_sha256": "fb9447766c89d716d3692256b300cf0e8630b4bd07cc0081e532e852f1c249d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5492",
    "kind": "arxiv",
    "version": 1
  }
}