Pith Number

pith:4M6M7IXD

pith:2025:4M6M7IXDYL5OA2GUEW2YJTNIE4

not attested not anchored not stored refs pending

An Efficient Massively Parallel Constant-Factor Approximation Algorithm for the $k$-Means Problem

Fabian Kuhn, Vincent Cohen-Addad, Zahra Parsaeian

arxiv:2507.14089 v1 · 2025-07-18 · 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{4M6M7IXDYL5OA2GUEW2YJTNIE4}

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	2026-07-05T11:39:28.584465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33ccfa2e3c2fae068d425b584cda827367b62ff0b2325191516c0472c7fdc21

Aliases

arxiv: 2507.14089 · arxiv_version: 2507.14089v1 · doi: 10.48550/arxiv.2507.14089 · pith_short_12: 4M6M7IXDYL5O · pith_short_16: 4M6M7IXDYL5OA2GU · pith_short_8: 4M6M7IXD

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/4M6M7IXDYL5OA2GUEW2YJTNIE4 \
  | 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: e33ccfa2e3c2fae068d425b584cda827367b62ff0b2325191516c0472c7fdc21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6af7326c9296c259f626e47a0919fa3fdf321c3bc7446b2a8a585f7c973d6c1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-07-18T17:13:36Z",
    "title_canon_sha256": "f24ff0bf540a8d3eb6d40a1518eae7662838e00bef3b661c19a875fc0052d19a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14089",
    "kind": "arxiv",
    "version": 1
  }
}