Pith Number

pith:ES4QIDVT

pith:2011:ES4QIDVT2NWPEI67LPROHIRSPW

not attested not anchored not stored refs pending

Tracy-Widom law for the extreme eigenvalues of sample correlation matrices

Guangming Pan, Wang Zhou, Zhigang Bao

arxiv:1110.5208 v2 · 2011-10-24 · 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{ES4QIDVT2NWPEI67LPROHIRSPW}

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	2026-05-18T04:09:55.821732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b9040eb3d36cf223df5be2e3a2327d947f40d8b6cbe2a22462f4948011da29

Aliases

arxiv: 1110.5208 · arxiv_version: 1110.5208v2 · doi: 10.48550/arxiv.1110.5208 · pith_short_12: ES4QIDVT2NWP · pith_short_16: ES4QIDVT2NWPEI67 · pith_short_8: ES4QIDVT

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/ES4QIDVT2NWPEI67LPROHIRSPW \
  | 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: 24b9040eb3d36cf223df5be2e3a2327d947f40d8b6cbe2a22462f4948011da29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "231b3a0d9d861fcec2d824d455e2553319a0e93f009e1d3add5b3bd2c0a265f4",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-10-24T12:12:17Z",
    "title_canon_sha256": "febbea5b668d1f5bd1f85bb4ec226bd6de63b4cf7f1d7404af080230d0724beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5208",
    "kind": "arxiv",
    "version": 2
  }
}