Pith Number

pith:WB4ZP3C4

pith:2006:WB4ZP3C4EQTAY4OMF4IK56ZWTU

not attested not anchored not stored refs pending

Characterizations of joint distributions, copulas, information, dependence and decoupling, with applications to time series

Rustam Ibragimov, Shaturgun Sharakhmetov, Victor H. de la Pe\~na

arxiv:math/0611166 v1 · 2006-11-07 · 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{WB4ZP3C4EQTAY4OMF4IK56ZWTU}

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	2026-05-18T01:08:49.540410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07997ec5c24260c71cc2f10aefb369d2b7bd90d7ea0b64f541225eef7991623

Aliases

arxiv: math/0611166 · arxiv_version: math/0611166v1 · doi: 10.48550/arxiv.math/0611166 · pith_short_12: WB4ZP3C4EQTA · pith_short_16: WB4ZP3C4EQTAY4OM · pith_short_8: WB4ZP3C4

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/WB4ZP3C4EQTAY4OMF4IK56ZWTU \
  | 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: b07997ec5c24260c71cc2f10aefb369d2b7bd90d7ea0b64f541225eef7991623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de1a0f88abcbacfcfa2c91448dadb39c339d0642ffeafdc7bddac1e9f26edefa",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-11-07T08:25:55Z",
    "title_canon_sha256": "778083d11aab26aeb54c9c698a1a8f475c746dfc28bac0485d5a00bce578e75e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611166",
    "kind": "arxiv",
    "version": 1
  }
}