Pith Number

pith:5TVPB3QE

pith:2014:5TVPB3QEUTSFMAOLLRKHE5EJ2R

not attested not anchored not stored refs pending

Large complex correlated Wishart matrices: Fluctuations and asymptotic independence at the edges

Adrien Hardy, Jamal Najim, Walid Hachem

arxiv:1409.7548 v2 · 2014-09-26 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TVPB3QEUTSFMAOLLRKHE5EJ2R}

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	2026-05-18T01:12:58.738473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eceaf0ee04a4e45601cb5c54727489d44f1e971b1df0ac115c4eb6282d54bf60

Aliases

arxiv: 1409.7548 · arxiv_version: 1409.7548v2 · doi: 10.48550/arxiv.1409.7548 · pith_short_12: 5TVPB3QEUTSF · pith_short_16: 5TVPB3QEUTSFMAOL · pith_short_8: 5TVPB3QE

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/5TVPB3QEUTSFMAOLLRKHE5EJ2R \
  | 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: eceaf0ee04a4e45601cb5c54727489d44f1e971b1df0ac115c4eb6282d54bf60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6bc97736432e5427746ffc0f87d716f0faeb6954d772946aea66689c0b3dfa2",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-26T12:01:42Z",
    "title_canon_sha256": "8beef321abac9155db48be87e932f4397a907050e948ad76ce71522e05472d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7548",
    "kind": "arxiv",
    "version": 2
  }
}