Pith Number

pith:NPVLTSO7

pith:2011:NPVLTSO7QBVA6FSFHY3ZUANUED

not attested not anchored not stored refs pending

An Upper Bound to the Marginal PDF of the Ordered Eigenvalues of Wishart Matrices

Ender Ayanoglu, Hong Ju Park

arxiv:1201.0148 v1 · 2011-12-30 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPVLTSO7QBVA6FSFHY3ZUANUED}

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	2026-05-18T04:05:26.023566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6beab9c9df806a0f16453e379a01b420c19a8def1cf06e6d2056686d6ac483b1

Aliases

arxiv: 1201.0148 · arxiv_version: 1201.0148v1 · doi: 10.48550/arxiv.1201.0148 · pith_short_12: NPVLTSO7QBVA · pith_short_16: NPVLTSO7QBVA6FSF · pith_short_8: NPVLTSO7

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/NPVLTSO7QBVA6FSFHY3ZUANUED \
  | 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: 6beab9c9df806a0f16453e379a01b420c19a8def1cf06e6d2056686d6ac483b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "472d4f306517f8f5ff5e7593561121d22b5317d69474f97de41d6c1e250b113a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-12-30T16:18:03Z",
    "title_canon_sha256": "0701e45936b675274dd4ededa589cc2cdcb4e4e5a35c45dd1aeda1b996115f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0148",
    "kind": "arxiv",
    "version": 1
  }
}