Pith Number

pith:KIL5GFP2

pith:2016:KIL5GFP2P7CLQDXNWXJGBF2ZL2

not attested not anchored not stored refs pending

Theoretical Analysis of the $k$-Means Algorithm - A Survey

Christiane Lammersen, Christian Sohler, Johannes Bl\"omer, Melanie Schmidt

arxiv:1602.08254 v1 · 2016-02-26 · cs.DS · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIL5GFP2P7CLQDXNWXJGBF2ZL2}

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	2026-05-18T01:19:56.461821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5217d315fa7fc4b80eedb5d26097595ebbfcacac8b2a5a2773979a5cdf7c3319

Aliases

arxiv: 1602.08254 · arxiv_version: 1602.08254v1 · doi: 10.48550/arxiv.1602.08254 · pith_short_12: KIL5GFP2P7CL · pith_short_16: KIL5GFP2P7CLQDXN · pith_short_8: KIL5GFP2

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/KIL5GFP2P7CLQDXNWXJGBF2ZL2 \
  | 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: 5217d315fa7fc4b80eedb5d26097595ebbfcacac8b2a5a2773979a5cdf7c3319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f8cb41f7b3cf848e4b95384fc3db7f81bf451516647e4aa1b0495962837907",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-02-26T09:39:50Z",
    "title_canon_sha256": "7f7f48c3c2d7abc7e6a5a766a7ad4e6e8b591544e2eafd0af8d282c92951bf54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08254",
    "kind": "arxiv",
    "version": 1
  }
}