Pith Number

pith:ARY37DKG

pith:2025:ARY37DKGSRKL6QZVRE25NGPO4Q

not attested not anchored not stored refs pending

Edgeworth corrections for the spiked eigenvalues of non-Gaussian sample covariance matrices with applications

Jiang Hu, Yashi Wei, Zhidong Bai

arxiv:2507.09584 v2 · 2025-07-13 · math.ST · math.PR · stat.ME · 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{ARY37DKGSRKL6QZVRE25NGPO4Q}

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	2026-07-05T11:38:52.163220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0471bf8d469454bf43358935d699eee4310fbdbbc291c32831e8573cc00ccb89

Aliases

arxiv: 2507.09584 · arxiv_version: 2507.09584v2 · doi: 10.48550/arxiv.2507.09584 · pith_short_12: ARY37DKGSRKL · pith_short_16: ARY37DKGSRKL6QZV · pith_short_8: ARY37DKG

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/ARY37DKGSRKL6QZVRE25NGPO4Q \
  | 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: 0471bf8d469454bf43358935d699eee4310fbdbbc291c32831e8573cc00ccb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c072825a696579d2f1ce5619eb6cd54039c4a49a7ae264f8e91cbe565a29d2a",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-07-13T11:36:45Z",
    "title_canon_sha256": "ff4489530102f70244a1314964aeaab628d0d548aa32936833c461e814ac8a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09584",
    "kind": "arxiv",
    "version": 2
  }
}