Pith Number

pith:MAI4WO65

pith:2026:MAI4WO654C6RC4L6KUPTEGCOV4

not attested not anchored not stored refs pending

Exact ratio preservation via outliers for fair $k$-center clustering

Anna Arutyunova, Annika Hennes, Carsten Krollmann, Daniel R. Schmidt, Irina Fast, Melanie Schmidt

arxiv:2607.05342 v1 · 2026-07-06 · 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{MAI4WO654C6RC4L6KUPTEGCOV4}

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	2026-07-07T03:19:24.191291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6011cb3bdde0bd11717e551f32184eaf1e1214a4283d7ed3aa5896027a84fb77

Aliases

arxiv: 2607.05342 · arxiv_version: 2607.05342v1 · doi: 10.48550/arxiv.2607.05342 · pith_short_12: MAI4WO654C6R · pith_short_16: MAI4WO654C6RC4L6 · pith_short_8: MAI4WO65

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/MAI4WO654C6RC4L6KUPTEGCOV4 \
  | 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: 6011cb3bdde0bd11717e551f32184eaf1e1214a4283d7ed3aa5896027a84fb77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f34d23a836a3d4c63d5e450edc7bf167b72f88c58f7563ee6071bb8a3264673",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-06T17:23:55Z",
    "title_canon_sha256": "ffb9f216d647eacf6f17fab3cedf5fee03a11ccaaf3eae6a84abeff970e91a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05342",
    "kind": "arxiv",
    "version": 1
  }
}