Pith Number

pith:33EEZZLD

pith:2026:33EEZZLDDNAMXMF5S6QNZHVBFI

not attested not anchored not stored refs pending

Statistical Properties of $k$-means Clustering for Data Missing Completely at Random

Xin Guan

arxiv:2607.01945 v1 · 2026-07-02 · stat.ML · 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{33EEZZLDDNAMXMF5S6QNZHVBFI}

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	2026-07-03T01:17:34.641650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec84ce5631b40cbb0bd97a0dc9ea12a2f43aac50d65dd11e52c905c2f394392

Aliases

arxiv: 2607.01945 · arxiv_version: 2607.01945v1 · doi: 10.48550/arxiv.2607.01945 · pith_short_12: 33EEZZLDDNAM · pith_short_16: 33EEZZLDDNAMXMF5 · pith_short_8: 33EEZZLD

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/33EEZZLDDNAMXMF5S6QNZHVBFI \
  | 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: dec84ce5631b40cbb0bd97a0dc9ea12a2f43aac50d65dd11e52c905c2f394392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097c2ee8b43337d0107b1bfae45c9961557e65da2596dc445cdc8647b7928895",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-02T09:34:44Z",
    "title_canon_sha256": "520237b9f2aab784888ea8281e97bfde89efe810ebae4577cb19f7e7d611b240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01945",
    "kind": "arxiv",
    "version": 1
  }
}