Pith Number

pith:2FYZ4T7G

pith:2011:2FYZ4T7GPHAHZPQHJWPETXHEBV

not attested not anchored not stored refs pending

Limit Theory for the largest eigenvalues of sample covariance matrices with heavy-tails

Oliver Pfaffel, Richard A. Davis, Robert Stelzer

arxiv:1108.5464 v2 · 2011-08-27 · math.PR · 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{2FYZ4T7GPHAHZPQHJWPETXHEBV}

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	2026-05-18T03:41:58.954209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1719e4fe679c07cbe074d9e49dce40d6d1dda84436206d4054c110875e56cca

Aliases

arxiv: 1108.5464 · arxiv_version: 1108.5464v2 · doi: 10.48550/arxiv.1108.5464 · pith_short_12: 2FYZ4T7GPHAH · pith_short_16: 2FYZ4T7GPHAHZPQH · pith_short_8: 2FYZ4T7G

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/2FYZ4T7GPHAHZPQHJWPETXHEBV \
  | 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: d1719e4fe679c07cbe074d9e49dce40d6d1dda84436206d4054c110875e56cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318ccc481fe5e22dfb981d524957d8813bdae97aac99bc62137507a26b7a332e",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-27T16:52:27Z",
    "title_canon_sha256": "b67b28eb8bc8515a0454b86ddafb3e2da9329aab28b5a0013af65ce5898958d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5464",
    "kind": "arxiv",
    "version": 2
  }
}