Pith Number

pith:OFBZBATW

pith:2006:OFBZBATWPSJOUXLIIUKU6H7OXG

not attested not anchored not stored refs pending

Asymptotic behavior of random determinants in the Laguerre, Gram and Jacobi ensembles

Alain Rouault (LM-Versailles)

arxiv:math/0607767 v4 · 2006-07-29 · 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{OFBZBATWPSJOUXLIIUKU6H7OXG}

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	2026-07-04T15:07:09.057078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71439082767c92ea5d6845154f1feeb9a05ad1dcce3d764ad9ea2aaf7151f164

Aliases

arxiv: math/0607767 · arxiv_version: math/0607767v4 · doi: 10.48550/arxiv.math/0607767 · pith_short_12: OFBZBATWPSJO · pith_short_16: OFBZBATWPSJOUXLI · pith_short_8: OFBZBATW

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/OFBZBATWPSJOUXLIIUKU6H7OXG \
  | 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: 71439082767c92ea5d6845154f1feeb9a05ad1dcce3d764ad9ea2aaf7151f164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1023c8f67fa358ef8c2b347cedca35631b2717da0b230701b5587c837342478",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-07-29T17:21:35Z",
    "title_canon_sha256": "2b2bdaa7344b79b87474ed21d57f13c4eff1cd97e92d25395e0ee9b2a3c18117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607767",
    "kind": "arxiv",
    "version": 4
  }
}