Pith Number

pith:X4CW7TJJ

pith:2017:X4CW7TJJFL7YIVPA6V4PM4KGSB

not attested not anchored not stored refs pending

Clustering and Model Selection via Penalized Likelihood for Different-sized Categorical Data Vectors

Erwan Le Pennec (CMAP, Esther Derman (CMAP), XPOP)

arxiv:1709.02294 v1 · 2017-09-07 · 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{X4CW7TJJFL7YIVPA6V4PM4KGSB}

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	2026-05-18T00:35:49.548484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf056fcd292aff8455e0f578f67146907adfa6949a3bd9e113472917e88a48e9

Aliases

arxiv: 1709.02294 · arxiv_version: 1709.02294v1 · doi: 10.48550/arxiv.1709.02294 · pith_short_12: X4CW7TJJFL7Y · pith_short_16: X4CW7TJJFL7YIVPA · pith_short_8: X4CW7TJJ

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/X4CW7TJJFL7YIVPA6V4PM4KGSB \
  | 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: bf056fcd292aff8455e0f578f67146907adfa6949a3bd9e113472917e88a48e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f2cf4193a8b05fa94de8f2820d971a6e171914f737e3b18e069dc9978d6c784",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-09-07T14:59:50Z",
    "title_canon_sha256": "7e4707282af70a06be229022ed1902e98d9a694a7d1390f8ebdca13639e7a70e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02294",
    "kind": "arxiv",
    "version": 1
  }
}