Pith Number

pith:CFKWQFUD

pith:2011:CFKWQFUDYGB7HNJGLDY4HM7V5A

not attested not anchored not stored refs pending

A Strong Invariance Theorem of the Tail Empirical Copula Processes

Salim Bouzebda, Tarek Zari

arxiv:1110.3437 v1 · 2011-10-15 · math.ST · stat.AP · 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{CFKWQFUDYGB7HNJGLDY4HM7V5A}

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	2026-05-17T23:52:08.842008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1155681683c183f3b52658f1c3b3f5e81a3905bdc85b0622dbfe8f92f6373054

Aliases

arxiv: 1110.3437 · arxiv_version: 1110.3437v1 · doi: 10.48550/arxiv.1110.3437 · pith_short_12: CFKWQFUDYGB7 · pith_short_16: CFKWQFUDYGB7HNJG · pith_short_8: CFKWQFUD

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/CFKWQFUDYGB7HNJGLDY4HM7V5A \
  | 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: 1155681683c183f3b52658f1c3b3f5e81a3905bdc85b0622dbfe8f92f6373054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072ce31d6629d9a70a45244f85c27bcf127c19799d59384cb978df0c14f9dc17",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-10-15T20:14:00Z",
    "title_canon_sha256": "1af900bf0c3af1949b1be383893b5a2d779de1e1fa93ccdc548b2bc9d6c16484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3437",
    "kind": "arxiv",
    "version": 1
  }
}