Pith Number

pith:Z6N5WKT5

pith:2013:Z6N5WKT5GMK4OXNIPVDQNC4FYN

not attested not anchored not stored refs pending

Central Limit Theorem for Linear Statistics of Eigenvalues of Band Random Matrices

Alexander Soshnikov, Lingyun Li

arxiv:1304.6744 v4 · 2013-04-24 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6N5WKT5GMK4OXNIPVDQNC4FYN}

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	2026-05-18T03:09:48.711172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf9bdb2a7d3315c75da87d47068b85c351b3996afa39b6086865dc28560c8f22

Aliases

arxiv: 1304.6744 · arxiv_version: 1304.6744v4 · doi: 10.48550/arxiv.1304.6744 · pith_short_12: Z6N5WKT5GMK4 · pith_short_16: Z6N5WKT5GMK4OXNI · pith_short_8: Z6N5WKT5

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/Z6N5WKT5GMK4OXNIPVDQNC4FYN \
  | 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: cf9bdb2a7d3315c75da87d47068b85c351b3996afa39b6086865dc28560c8f22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6b75ed95f68b84d26aebc57617a2828d86ea2ac3ee4d7381a984b59ae7c73b0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-24T20:44:00Z",
    "title_canon_sha256": "17a9af9e150a266760b1277a804c29382363d74158ce37693b39e39d85d432ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6744",
    "kind": "arxiv",
    "version": 4
  }
}