Pith Number

pith:OER5JGV5

pith:2013:OER5JGV5NHQ5SMPN7XBZSJBPDI

not attested not anchored not stored refs pending

Spectral statistics of large dimensional Spearman's rank correlation matrix and its application

Guangming Pan, Liang-Ching Lin, Wang Zhou, Zhigang Bao

arxiv:1312.5119 v3 · 2013-12-18 · 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{OER5JGV5NHQ5SMPN7XBZSJBPDI}

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	2026-05-18T01:26:50.637283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7123d49abd69e1d931edfdc399242f1a0e7957fdc296e632a810aa7a6c7be283

Aliases

arxiv: 1312.5119 · arxiv_version: 1312.5119v3 · doi: 10.48550/arxiv.1312.5119 · pith_short_12: OER5JGV5NHQ5 · pith_short_16: OER5JGV5NHQ5SMPN · pith_short_8: OER5JGV5

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/OER5JGV5NHQ5SMPN7XBZSJBPDI \
  | 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: 7123d49abd69e1d931edfdc399242f1a0e7957fdc296e632a810aa7a6c7be283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c946e1b0e4dcfad5f0644e7476538fc9d9bf528f4081d45b4e10c837285838",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-18T12:55:28Z",
    "title_canon_sha256": "14a4db4ed24089de9afd960a0602319b3632a6c6df18e3b533e62fac706b335a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5119",
    "kind": "arxiv",
    "version": 3
  }
}