Pith Number

pith:JIRU2R4I

pith:2019:JIRU2R4IXBUHGS77NTOR4LJUGP

not attested not anchored not stored refs pending

Central limit theorem for linear spectral statistics of general separable sample covariance matrices with applications

Huiqin Li, Shurong Zheng, Yanqing Yin

arxiv:1901.07746 v1 · 2019-01-23 · 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{JIRU2R4IXBUHGS77NTOR4LJUGP}

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	2026-05-17T23:55:41.617844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a234d4788b868734bff6cdd1e2d3433e2d0742738839c3a1204e952010988ee

Aliases

arxiv: 1901.07746 · arxiv_version: 1901.07746v1 · doi: 10.48550/arxiv.1901.07746 · pith_short_12: JIRU2R4IXBUH · pith_short_16: JIRU2R4IXBUHGS77 · pith_short_8: JIRU2R4I

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/JIRU2R4IXBUHGS77NTOR4LJUGP \
  | 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: 4a234d4788b868734bff6cdd1e2d3433e2d0742738839c3a1204e952010988ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7909a9bc71679b28dc2bbc33d9a89d7c1d56ea54c8304370c68704c7d49e3b9f",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-01-23T06:42:36Z",
    "title_canon_sha256": "682632df8a1aa59ac0e02ffd8f03e3320e160bc182e476f722f3422abe9abd92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07746",
    "kind": "arxiv",
    "version": 1
  }
}