Pith Number

pith:OB5CBZIO

pith:2010:OB5CBZIOSJANSY4X7FTLUMMDIA

not attested not anchored not stored refs pending

Functional CLT for sample covariance matrices

Wang Zhou, Xiaoying Wang, Zhidong Bai

arxiv:1011.5729 v1 · 2010-11-26 · 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{OB5CBZIOSJANSY4X7FTLUMMDIA}

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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	2026-05-18T04:34:38.563915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707a20e50e9240d96397f966ba318340143b8be16fc214c5ab67bb47828ed359

Aliases

arxiv: 1011.5729 · arxiv_version: 1011.5729v1 · doi: 10.48550/arxiv.1011.5729 · pith_short_12: OB5CBZIOSJAN · pith_short_16: OB5CBZIOSJANSY4X · pith_short_8: OB5CBZIO

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/OB5CBZIOSJANSY4X7FTLUMMDIA \
  | 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: 707a20e50e9240d96397f966ba318340143b8be16fc214c5ab67bb47828ed359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dca8d811c744ed0f2e8fe6c1f9f1ee33e99df77e106f789a1857001535e5f0af",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-11-26T08:43:08Z",
    "title_canon_sha256": "99ef31245787a0d964c5902d947c65a4f1116528a3f7d70f6d48a52bec87a502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5729",
    "kind": "arxiv",
    "version": 1
  }
}