Pith Number

pith:323MP7U2

pith:2024:323MP7U2OOOBE6LYB73LCZNISU

not attested not anchored not stored refs pending

Hybrid k-Clustering: Blending k-Median and k-Center

Fedor V. Fomin, Meirav Zehavi, Petr A. Golovach, Saket Saurabh, Tanmay Inamdar

arxiv:2407.08295 v1 · 2024-07-11 · cs.DS · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{323MP7U2OOOBE6LYB73LCZNISU}

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	2026-07-05T08:42:46.387869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb6c7fe9a739c1279780ff6b165a8953992cda190ee181d539f2c058c0a6cf1

Aliases

arxiv: 2407.08295 · arxiv_version: 2407.08295v1 · doi: 10.48550/arxiv.2407.08295 · pith_short_12: 323MP7U2OOOB · pith_short_16: 323MP7U2OOOBE6LY · pith_short_8: 323MP7U2

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/323MP7U2OOOBE6LYB73LCZNISU \
  | 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: deb6c7fe9a739c1279780ff6b165a8953992cda190ee181d539f2c058c0a6cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78a9f21a743fe1ca6c5c60bf9ec0356cf1d1214ceb1787d6d053d80fcb7de594",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2024-07-11T08:40:34Z",
    "title_canon_sha256": "809f533413f63a86802ea2ddb56713a0f193754d68e82c201df4c30dc8a8d936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.08295",
    "kind": "arxiv",
    "version": 1
  }
}