Pith Number

pith:QTZNP664

pith:2008:QTZNP664HOS4HJWLUN3NNVSOVP

not attested not anchored not stored refs pending

Strong Approximation of Empirical Copula Processes by Gaussian Processes

Salim Bouzebda (LSTA), Tarek Zari (LSTA)

arxiv:0811.3330 v4 · 2008-11-20 · 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{QTZNP664HOS4HJWLUN3NNVSOVP}

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	2026-05-17T23:52:08.867972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f2d7fbdc3ba5c3a6cba376d6d64eabcd002e66ccc5eacf0c3933809cb5b1ec

Aliases

arxiv: 0811.3330 · arxiv_version: 0811.3330v4 · doi: 10.48550/arxiv.0811.3330 · pith_short_12: QTZNP664HOS4 · pith_short_16: QTZNP664HOS4HJWL · pith_short_8: QTZNP664

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/QTZNP664HOS4HJWLUN3NNVSOVP \
  | 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: 84f2d7fbdc3ba5c3a6cba376d6d64eabcd002e66ccc5eacf0c3933809cb5b1ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "500ad062618bcf9c0d228107ecf8f4140541f9bde4e4c88b7965eafc147d2608",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2008-11-20T13:07:50Z",
    "title_canon_sha256": "51f92536528d15e605a955c1b1b3ceb9f6884ddd69b2d9466737dab96429c973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3330",
    "kind": "arxiv",
    "version": 4
  }
}