Pith Number

pith:YLBS6ZDU

pith:2022:YLBS6ZDUGLFIM4VGCW7W3WWEMD

not attested not anchored not stored refs pending

A CLT for the LSS of large dimensional sample covariance matrices with unbounded dispersions

Haiyan Song, Jiang Hu, Zhidong Bai, Zhijun Liu

arxiv:2205.07280 v1 · 2022-05-15 · 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{YLBS6ZDUGLFIM4VGCW7W3WWEMD}

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	2026-07-05T04:23:27.218613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2c32f647432ca8672a615bf6ddac460c597ad861427bd97d781ccaccc6c62d0

Aliases

arxiv: 2205.07280 · arxiv_version: 2205.07280v1 · doi: 10.48550/arxiv.2205.07280 · pith_short_12: YLBS6ZDUGLFI · pith_short_16: YLBS6ZDUGLFIM4VG · pith_short_8: YLBS6ZDU

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/YLBS6ZDUGLFIM4VGCW7W3WWEMD \
  | 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: c2c32f647432ca8672a615bf6ddac460c597ad861427bd97d781ccaccc6c62d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c764e0a48623162e68cc6e3395cb93cdfbe02bf910c22eab7d49a2f0df98642",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-05-15T13:16:15Z",
    "title_canon_sha256": "ac68e2c82de5297ff767441fb0df201e4aa28664f7bc473a15be9af1bf24a0f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.07280",
    "kind": "arxiv",
    "version": 1
  }
}