Pith Number

pith:7H3SPQCV

pith:2012:7H3SPQCVRQULTJQV725UEYXJMU

not attested not anchored not stored refs pending

Convergence of the largest eigenvalue of normalized sample covariance matrices when p and n both tend to infinity with their ratio converging to zero

B. B. Chen, G. M. Pan

arxiv:1211.5479 v1 · 2012-11-23 · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7H3SPQCVRQULTJQV725UEYXJMU}

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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	2026-05-18T03:40:04.308044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f727c0558c28b9a615febb4262e96506568a7ca4bd6b6e6cc857a4079901b9

Aliases

arxiv: 1211.5479 · arxiv_version: 1211.5479v1 · doi: 10.48550/arxiv.1211.5479 · pith_short_12: 7H3SPQCVRQUL · pith_short_16: 7H3SPQCVRQULTJQV · pith_short_8: 7H3SPQCV

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/7H3SPQCVRQULTJQV725UEYXJMU \
  | 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: f9f727c0558c28b9a615febb4262e96506568a7ca4bd6b6e6cc857a4079901b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1949d3235773ac89e9abfc41e232fb47de037e5745081e1f925cdf2e85ece63",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-11-23T12:13:41Z",
    "title_canon_sha256": "fd5732996546205b198ac885a209d123af87d8f3aec80d4ed3e94b03e0a3ea15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5479",
    "kind": "arxiv",
    "version": 1
  }
}