Pith Number

pith:QV27IVD2

pith:2014:QV27IVD2Q2WK7HES7CXQMP2WXH

not attested not anchored not stored refs pending

Substitution principle for CLT of linear spectral statistics of high-dimensional sample covariance matrices with applications to hypothesis testing

Jiangfeng Yao, Shurong Zheng, Z. D. Bai

arxiv:1404.6633 v1 · 2014-04-26 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QV27IVD2Q2WK7HES7CXQMP2WXH}

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	2026-05-18T02:53:06.434797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8575f4547a86acaf9c92f8af063f56b9cf81fa8c86eb39d50ba7286fe4b2e2a7

Aliases

arxiv: 1404.6633 · arxiv_version: 1404.6633v1 · doi: 10.48550/arxiv.1404.6633 · pith_short_12: QV27IVD2Q2WK · pith_short_16: QV27IVD2Q2WK7HES · pith_short_8: QV27IVD2

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/QV27IVD2Q2WK7HES7CXQMP2WXH \
  | 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: 8575f4547a86acaf9c92f8af063f56b9cf81fa8c86eb39d50ba7286fe4b2e2a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2886bf730d7b94806e331a3ebf86d6c2272ed86824e160c96efd83cd8a071792",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2014-04-26T10:56:58Z",
    "title_canon_sha256": "4407fd63a0d7cce8b251a437780f8152dab57d46350c785cd7b5277440c47a75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6633",
    "kind": "arxiv",
    "version": 1
  }
}