Pith Number

pith:YNJJMPXU

pith:2016:YNJJMPXUOU3AZ2QTE7AQRVEJRK

not attested not anchored not stored refs pending

A Copula Statistic for Measuring Nonlinear Multivariate Dependence

Kiran Karra, Lamine Mili, Mohsen Ben Hassine

arxiv:1612.07269 v1 · 2016-12-21 · 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{YNJJMPXUOU3AZ2QTE7AQRVEJRK}

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	2026-05-18T00:54:14.348189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c352963ef475360cea1327c108d4898a8e3bbc3cdc963e9ce25d995abcb1987b

Aliases

arxiv: 1612.07269 · arxiv_version: 1612.07269v1 · doi: 10.48550/arxiv.1612.07269 · pith_short_12: YNJJMPXUOU3A · pith_short_16: YNJJMPXUOU3AZ2QT · pith_short_8: YNJJMPXU

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/YNJJMPXUOU3AZ2QTE7AQRVEJRK \
  | 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: c352963ef475360cea1327c108d4898a8e3bbc3cdc963e9ce25d995abcb1987b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3885769d2c3e6f8022263c4443a6f551ecd2d97e4c4d1737650f26b8272a8e76",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-12-21T18:46:16Z",
    "title_canon_sha256": "f67fd30a0a482fd0493095e057dc8b7b149536a6cea8c5349ace210de50cb7bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07269",
    "kind": "arxiv",
    "version": 1
  }
}