Pith Number

pith:T4TSMZF5

pith:2020:T4TSMZF5YWH357CSXKQZXSAV7G

not attested not anchored not stored refs pending

Breathing K-Means: Superior K-Means Solutions through Dynamic K-Values

Bernd Fritzke (individual researcher)

arxiv:2006.15666 v5 · 2020-06-28 · 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{T4TSMZF5YWH357CSXKQZXSAV7G}

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.

Cited by

1 paper in Pith

Evolving Markov Chains: Unsupervised Mode Discovery and Recognition from Data Streams

Receipt and verification

First computed	2026-07-05T08:56:10.118938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f272664bdc58fbefc52baa19bc815f9930845d77e8e17ff2b00495d4230d80b

Aliases

arxiv: 2006.15666 · arxiv_version: 2006.15666v5 · doi: 10.48550/arxiv.2006.15666 · pith_short_12: T4TSMZF5YWH3 · pith_short_16: T4TSMZF5YWH357CS · pith_short_8: T4TSMZF5

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/T4TSMZF5YWH357CSXKQZXSAV7G \
  | 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: 9f272664bdc58fbefc52baa19bc815f9930845d77e8e17ff2b00495d4230d80b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29da1cc4885913f1d7cfdfe76ca862198066e81835b782ec3571641a9819b753",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-06-28T17:49:37Z",
    "title_canon_sha256": "e63483770899beaab400297007e26eee6d9e5dfbda2da3e133a156f716c60a9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.15666",
    "kind": "arxiv",
    "version": 5
  }
}