Pith Number

pith:MCFOOGW5

pith:2008:MCFOOGW5C4DMZIXDKJ3H7BYT2G

not attested not anchored not stored refs pending

The Tracy--Widom limit for the largest eigenvalues of singular complex Wishart matrices

Alexei Onatski

arxiv:0803.4155 v1 · 2008-03-28 · 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{MCFOOGW5C4DMZIXDKJ3H7BYT2G}

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	2026-07-04T15:34:39.169598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

608ae71add1706cca2e352767f8713d18ee531445b394b08d28fe50a38a08bdc

Aliases

arxiv: 0803.4155 · arxiv_version: 0803.4155v1 · doi: 10.48550/arxiv.0803.4155 · pith_short_12: MCFOOGW5C4DM · pith_short_16: MCFOOGW5C4DMZIXD · pith_short_8: MCFOOGW5

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/MCFOOGW5C4DMZIXDKJ3H7BYT2G \
  | 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: 608ae71add1706cca2e352767f8713d18ee531445b394b08d28fe50a38a08bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f9b4f94b3b8a29a2e810ce5a674691753d4ac81b2eead8098f72728d5588275",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-03-28T15:54:28Z",
    "title_canon_sha256": "aa7f12d537a61c0c4b57d38e51c5c018030130026a1a627e77e028755ee2fdce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.4155",
    "kind": "arxiv",
    "version": 1
  }
}