Pith Number

pith:WDKBOREF

pith:2011:WDKBOREFPIYMXITBYIAY4TXDSK

not attested not anchored not stored refs pending

Ward's Hierarchical Clustering Method: Clustering Criterion and Agglomerative Algorithm

Fionn Murtagh, Pierre Legendre

arxiv:1111.6285 v2 · 2011-11-27 · stat.ML · cs.CV · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDKBOREFPIYMXITBYIAY4TXDSK}

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	2026-05-18T01:04:30.679107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0d41744857a30cba261c2018e4ee392bbbb1afcf906f1a41d930e2f6b1ee361

Aliases

arxiv: 1111.6285 · arxiv_version: 1111.6285v2 · doi: 10.48550/arxiv.1111.6285 · pith_short_12: WDKBOREFPIYM · pith_short_16: WDKBOREFPIYMXITB · pith_short_8: WDKBOREF

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/WDKBOREFPIYMXITBYIAY4TXDSK \
  | 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: b0d41744857a30cba261c2018e4ee392bbbb1afcf906f1a41d930e2f6b1ee361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0612d5a84443152819122b5914dde08a34bec41e19289a0b789ae209e22ebf46",
    "cross_cats_sorted": [
      "cs.CV",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2011-11-27T18:39:14Z",
    "title_canon_sha256": "0ad538a9117280730856e8ae6b2a32ace1d627c4c9845717a00bf1b73a0291eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6285",
    "kind": "arxiv",
    "version": 2
  }
}