Pith Number

pith:47XOTAFO

pith:2007:47XOTAFO63YTNVQX4XRWB423F6

not attested not anchored not stored refs pending

The largest eigenvalues of finite rank deformation of large Wigner matrices: convergence and nonuniversality of the fluctuations

Catherine Donati-Martin, Delphine F\'eral, Mireille Capitaine

arxiv:0706.0136 v2 · 2007-06-01 · 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{47XOTAFO63YTNVQX4XRWB423F6}

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	2026-05-18T04:28:08.437912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7eee980aef6f136d617e5e360f35b2f90d921aceeed55ab53bfaad173e5241e

Aliases

arxiv: 0706.0136 · arxiv_version: 0706.0136v2 · doi: 10.48550/arxiv.0706.0136 · pith_short_12: 47XOTAFO63YT · pith_short_16: 47XOTAFO63YTNVQX · pith_short_8: 47XOTAFO

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/47XOTAFO63YTNVQX4XRWB423F6 \
  | 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: e7eee980aef6f136d617e5e360f35b2f90d921aceeed55ab53bfaad173e5241e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d2a4ad92fd51b84e770dd9ee103d6ad28a02b07e97c778962635d247d2df63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-06-01T12:04:53Z",
    "title_canon_sha256": "bfab9065aa26c8a17c770123712a2baa439a0bf9744e695549de49d960f5eec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0136",
    "kind": "arxiv",
    "version": 2
  }
}