Pith Number

pith:ZLEDGKTW

pith:2017:ZLEDGKTWRHV26ZG3PW242XBYWP

not attested not anchored not stored refs pending

$k$-means as a variational EM approximation of Gaussian mixture models

Dennis Forster, J\"org L\"ucke

arxiv:1704.04812 v5 · 2017-04-16 · 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{ZLEDGKTWRHV26ZG3PW242XBYWP}

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	2026-05-17T23:44:04.914443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac8332a7689ebaf64db7db5cd5c38b3d98c8f6651f83dc2eb9e04b52a765663

Aliases

arxiv: 1704.04812 · arxiv_version: 1704.04812v5 · doi: 10.48550/arxiv.1704.04812 · pith_short_12: ZLEDGKTWRHV2 · pith_short_16: ZLEDGKTWRHV26ZG3 · pith_short_8: ZLEDGKTW

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/ZLEDGKTWRHV26ZG3PW242XBYWP \
  | 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: cac8332a7689ebaf64db7db5cd5c38b3d98c8f6651f83dc2eb9e04b52a765663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c039ad3c92bf499d4adb5eb7c6cc8a323d548b3b4029bf6bb2b51e4ab285419",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2017-04-16T20:06:30Z",
    "title_canon_sha256": "7abce256b6871e4a54a5e5e65a7a825d090b1f95d73145a56fa839f9bf25f064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04812",
    "kind": "arxiv",
    "version": 5
  }
}