Pith Number

pith:X7BCPU7T

pith:2008:X7BCPU7TVCZMAJBB42DD3IP5LU

not attested not anchored not stored refs pending

The largest eigenvalues of sample covariance matrices for a spiked population: diagonal case

Delphine F\'eral (IMB), Sandrine P\'ech\'e (IF)

arxiv:0812.2320 v1 · 2008-12-12 · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7BCPU7TVCZMAJBB42DD3IP5LU}

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	2026-05-18T02:15:10.691053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc227d3f3a8b2c02421e6863da1fd5d1dea49e0b3a3a54e60ec1e189640ec07

Aliases

arxiv: 0812.2320 · arxiv_version: 0812.2320v1 · doi: 10.48550/arxiv.0812.2320 · pith_short_12: X7BCPU7TVCZM · pith_short_16: X7BCPU7TVCZMAJBB · pith_short_8: X7BCPU7T

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/X7BCPU7TVCZMAJBB42DD3IP5LU \
  | 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: bfc227d3f3a8b2c02421e6863da1fd5d1dea49e0b3a3a54e60ec1e189640ec07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "394632bd1622206cd0e7b1930085627aac485f3f060c0a335f2cdd249852454a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-12-12T09:01:05Z",
    "title_canon_sha256": "b6c909e83f1bc2a09fe998f5a6b9ef468dd5dd3d07451c878897802cfb9e7a86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2320",
    "kind": "arxiv",
    "version": 1
  }
}