Pith Number

pith:M32ZY2NU

pith:2024:M32ZY2NULRCNZMCPNFGYTRLMHD

not attested not anchored not stored refs pending

Space Complexity of Euclidean Clustering

Lingxiao Huang, Xiaoyi Zhu, Yuxiang Tian, Zengfeng Huang

arxiv:2403.02971 v3 · 2024-03-05 · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M32ZY2NULRCNZMCPNFGYTRLMHD}

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

Fast, Space-Optimal Streaming Algorithms for Clustering and Subspace Embeddings

Receipt and verification

First computed	2026-07-05T10:31:41.844660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66f59c69b45c44dcb04f694d89c56c38f663d8823cad4995a979a00d44b6405b

Aliases

arxiv: 2403.02971 · arxiv_version: 2403.02971v3 · doi: 10.48550/arxiv.2403.02971 · pith_short_12: M32ZY2NULRCN · pith_short_16: M32ZY2NULRCNZMCP · pith_short_8: M32ZY2NU

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/M32ZY2NULRCNZMCPNFGYTRLMHD \
  | 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: 66f59c69b45c44dcb04f694d89c56c38f663d8823cad4995a979a00d44b6405b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4324b405f9a910b610c070ccd8ac3cd54a25b9709f4d65eff7238a84fe6c52fb",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2024-03-05T13:49:32Z",
    "title_canon_sha256": "27f01b88b4460c4599b4376ac69561948684b6764218f245db2a4fab93d187ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.02971",
    "kind": "arxiv",
    "version": 3
  }
}