Pith Number

pith:IRVWFKX6

pith:2010:IRVWFKX6UOWOD3WEBPL2YF53ST

not attested not anchored not stored refs pending

Central limit theorem of nonparametric estimate of spectral density functions of sample covariance matrices

Guangming Pan, Qi-Man Shao, Wang Zhou

arxiv:1008.3954 v1 · 2010-08-24 · math.ST · math.PR · 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{IRVWFKX6UOWOD3WEBPL2YF53ST}

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	2026-05-18T04:41:54.429348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

446b62aafea3ace1eec40bd7ac17bb94dde0d6ff6c40ece790e30df4ed4cf5f5

Aliases

arxiv: 1008.3954 · arxiv_version: 1008.3954v1 · doi: 10.48550/arxiv.1008.3954 · pith_short_12: IRVWFKX6UOWO · pith_short_16: IRVWFKX6UOWOD3WE · pith_short_8: IRVWFKX6

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/IRVWFKX6UOWOD3WEBPL2YF53ST \
  | 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: 446b62aafea3ace1eec40bd7ac17bb94dde0d6ff6c40ece790e30df4ed4cf5f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd2eb478fef229c06372b98b4a505111cde3fc4afa969c59aa9d4e728c32078",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-08-24T03:14:37Z",
    "title_canon_sha256": "f631ec27a2476d81d7efe92b87e0cad2e59478b6a8dcfb7ab389353ca315620b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3954",
    "kind": "arxiv",
    "version": 1
  }
}