Pith Number

pith:P5T5P2YU

pith:2008:P5T5P2YUT3XDFFMNOCYJVHJAI4

not attested not anchored not stored refs pending

A new test procedure of independence in copula models via chi-square-divergence

Amor Keziou (LM-Reims), Salim Bouzebda (LSTA)

arxiv:0803.1572 v2 · 2008-03-11 · 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{P5T5P2YUT3XDFFMNOCYJVHJAI4}

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	2026-05-17T23:51:20.385863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f67d7eb149eee32958d70b09a9d20471aac1fe0102351ec5ef30f850371206b

Aliases

arxiv: 0803.1572 · arxiv_version: 0803.1572v2 · doi: 10.48550/arxiv.0803.1572 · pith_short_12: P5T5P2YUT3XD · pith_short_16: P5T5P2YUT3XDFFMN · pith_short_8: P5T5P2YU

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/P5T5P2YUT3XDFFMNOCYJVHJAI4 \
  | 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: 7f67d7eb149eee32958d70b09a9d20471aac1fe0102351ec5ef30f850371206b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38349a965f0f0d413950e27a833a9279b7eefd428801793a11d3d1ff9a8d361e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2008-03-11T12:44:24Z",
    "title_canon_sha256": "53d084650244f4034c3ac7e6a941782bf2f6f43d76732cfdfef8b0e5af7b6ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1572",
    "kind": "arxiv",
    "version": 2
  }
}