Pith Number

pith:QXL6WBYI

pith:2015:QXL6WBYI5EOWBNGXLYYY2IPUQM

not attested not anchored not stored refs pending

k-Means Clustering Is Matrix Factorization

Christian Bauckhage

arxiv:1512.07548 v1 · 2015-12-23 · 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{QXL6WBYI5EOWBNGXLYYY2IPUQM}

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

Adaptive Quantum Optimized Centroid Initialization

Receipt and verification

First computed	2026-05-18T01:23:49.414626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d7eb0708e91d60b4d75e318d21f4832121cd880f05a5344c89bf65a1ef04d0

Aliases

arxiv: 1512.07548 · arxiv_version: 1512.07548v1 · doi: 10.48550/arxiv.1512.07548 · pith_short_12: QXL6WBYI5EOW · pith_short_16: QXL6WBYI5EOWBNGX · pith_short_8: QXL6WBYI

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/QXL6WBYI5EOWBNGXLYYY2IPUQM \
  | 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: 85d7eb0708e91d60b4d75e318d21f4832121cd880f05a5344c89bf65a1ef04d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a0a540e49aab8d5e26a23fb0c38304b6123fb63a42b9605822d47e362d08d28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-12-23T17:12:06Z",
    "title_canon_sha256": "40d9d8d87366d05847de40b9946a1a8a08a41cf15cf44c5eb3cc44980919521e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07548",
    "kind": "arxiv",
    "version": 1
  }
}