Pith Number

pith:LKSTGJFS

pith:2013:LKSTGJFSVNY5BMOXTTSFZVIEZF

not attested not anchored not stored refs pending

CLT for linear spectral statistics of random matrix $S^{-1}T$

Jianfeng Yao, Shurong Zheng, Zhidong Bai

arxiv:1305.1376 v1 · 2013-05-07 · 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{LKSTGJFSVNY5BMOXTTSFZVIEZF}

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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	2026-05-18T03:26:21.917282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa53324b2ab71d0b1d79ce45cd504c95cf13b8cd5fb9830f4a135dda0768d1b

Aliases

arxiv: 1305.1376 · arxiv_version: 1305.1376v1 · doi: 10.48550/arxiv.1305.1376 · pith_short_12: LKSTGJFSVNY5 · pith_short_16: LKSTGJFSVNY5BMOX · pith_short_8: LKSTGJFS

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/LKSTGJFSVNY5BMOXTTSFZVIEZF \
  | 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: 5aa53324b2ab71d0b1d79ce45cd504c95cf13b8cd5fb9830f4a135dda0768d1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59fa77acdbd6afcd1c8b20e231a569bb76d554e679adf4c91eec8f12cd4400ce",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-05-07T01:21:44Z",
    "title_canon_sha256": "6672e02c02952db73bf82ec67e26d27031c616de5cf91dae97173e221b7163c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1376",
    "kind": "arxiv",
    "version": 1
  }
}