Pith Number

pith:GK5IG6CW

pith:2024:GK5IG6CWI7BEBN5JKFEXHKJB2X

not attested not anchored not stored refs pending

A Copula Graphical Model for Multi-Attribute Data using Optimal Transport

Bing Li, Lingzhou Xue, Qi Zhang

arxiv:2404.06735 v1 · 2024-04-10 · stat.ML · cs.LG · math.ST · stat.AP · stat.ME · 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{GK5IG6CWI7BEBN5JKFEXHKJB2X}

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	2026-07-05T08:06:16.721323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ba83785647c240b7a9514973a921d5f6c472a42fb4cc0496b607dd29a85751

Aliases

arxiv: 2404.06735 · arxiv_version: 2404.06735v1 · doi: 10.48550/arxiv.2404.06735 · pith_short_12: GK5IG6CWI7BE · pith_short_16: GK5IG6CWI7BEBN5J · pith_short_8: GK5IG6CW

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/GK5IG6CWI7BEBN5JKFEXHKJB2X \
  | 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: 32ba83785647c240b7a9514973a921d5f6c472a42fb4cc0496b607dd29a85751

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b186943bff453c07b5e199800f031269358d4dc9279c2fe6ab5f5483199eb56f",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.AP",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-04-10T04:49:00Z",
    "title_canon_sha256": "5f9d73d2935fdcecc52472fb3cf83cf0f3864c569cef75ad87a9249650459211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.06735",
    "kind": "arxiv",
    "version": 1
  }
}