Pith Number

pith:BXVATFRL

pith:2022:BXVATFRLKX6JP65JECV67U45VO

not attested not anchored not stored refs pending

Optimal Clustering by Lloyd Algorithm for Low-Rank Mixture Model

Dong Xia, Zhongyuan Lyu

arxiv:2207.04600 v2 · 2022-07-11 · math.ST · cs.IT · cs.LG · math.IT · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXVATFRLKX6JP65JECV67U45VO}

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

Computational Complexity of Statistics: New Insights from Low-Degree Polynomials

Receipt and verification

First computed	2026-07-05T06:18:17.129833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dea09962b55fc97fba920abefd39daba11c334b914e1a35f5b1912de7ec9efa

Aliases

arxiv: 2207.04600 · arxiv_version: 2207.04600v2 · doi: 10.48550/arxiv.2207.04600 · pith_short_12: BXVATFRLKX6J · pith_short_16: BXVATFRLKX6JP65J · pith_short_8: BXVATFRL

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/BXVATFRLKX6JP65JECV67U45VO \
  | 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: 0dea09962b55fc97fba920abefd39daba11c334b914e1a35f5b1912de7ec9efa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d79bc056cc49e4bc846bd1f5ac31af87a458ccbb010e026d0764d9e9f6149fe9",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-07-11T03:16:10Z",
    "title_canon_sha256": "c6b4319fb3547ee7c22f4d4ba6d5161cbcaedabd911e3331f6f450b6d55d3b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.04600",
    "kind": "arxiv",
    "version": 2
  }
}