Pith Number

pith:YZ4FF3TU

pith:2015:YZ4FF3TU6ZJDZLWDOPUNAQ5FV5

not attested not anchored not stored refs pending

On Variants of k-means Clustering

Kasturi Varadarajan, Sayan Bandyapadhyay

arxiv:1512.02985 v1 · 2015-12-09 · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZ4FF3TU6ZJDZLWDOPUNAQ5FV5}

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	2026-05-18T01:24:39.102255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c67852ee74f6523caec373e8d043a5af43a39eda3cbbfd863e3168973bd37b5c

Aliases

arxiv: 1512.02985 · arxiv_version: 1512.02985v1 · doi: 10.48550/arxiv.1512.02985 · pith_short_12: YZ4FF3TU6ZJD · pith_short_16: YZ4FF3TU6ZJDZLWD · pith_short_8: YZ4FF3TU

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/YZ4FF3TU6ZJDZLWDOPUNAQ5FV5 \
  | 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: c67852ee74f6523caec373e8d043a5af43a39eda3cbbfd863e3168973bd37b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07626db6e10580be4452f4219cf3319cea59573c2cb056a0044535426e0695fd",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-12-09T18:37:49Z",
    "title_canon_sha256": "02a8e56e1297e1fb6e8a5339b69f16fc0e1d971d49cdee977c4029f1b72aa75a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02985",
    "kind": "arxiv",
    "version": 1
  }
}