Pith Number

pith:CZX7RGGI

pith:2017:CZX7RGGI3NWMAX7B6OHSZM45WU

not attested not anchored not stored refs pending

Validity of Clusters Produced By kernel-$k$-means With Kernel-Trick

Mieczys{\l}aw A. K{\l}opotek

arxiv:1701.05335 v3 · 2017-01-19 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZX7RGGI3NWMAX7B6OHSZM45WU}

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	2026-05-17T23:57:48.973671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166ff898c8db6cc05fe1f38f2cb39db523d3f980bd9ddae639075fd0278430ec

Aliases

arxiv: 1701.05335 · arxiv_version: 1701.05335v3 · doi: 10.48550/arxiv.1701.05335 · pith_short_12: CZX7RGGI3NWM · pith_short_16: CZX7RGGI3NWMAX7B · pith_short_8: CZX7RGGI

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/CZX7RGGI3NWMAX7B6OHSZM45WU \
  | 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: 166ff898c8db6cc05fe1f38f2cb39db523d3f980bd9ddae639075fd0278430ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f24f3bd504f50034d3195d7b74746a0ad0c333e5961331cf1d81bab9e819756",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2017-01-19T08:55:20Z",
    "title_canon_sha256": "5a765211a437f406f9f396a6650ea77fbfdd6f1caadefe6f6bea4f4fedc060b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05335",
    "kind": "arxiv",
    "version": 3
  }
}