Pith Number

pith:25C5B6WM

pith:2016:25C5B6WMOFSEJMQ73NDHBU6IEQ

not attested not anchored not stored refs pending

Local search yields approximation schemes for k-means and k-median in Euclidean and minor-free metrics

Claire Mathieu, Philip N. Klein, Vincent Cohen-Addad

arxiv:1603.09535 v2 · 2016-03-31 · 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{25C5B6WMOFSEJMQ73NDHBU6IEQ}

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	2026-05-18T01:17:32.271480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d745d0facc716444b21fdb4670d3c8243a4a85c93b6530f2e003664a5c28ecf8

Aliases

arxiv: 1603.09535 · arxiv_version: 1603.09535v2 · doi: 10.48550/arxiv.1603.09535 · pith_short_12: 25C5B6WMOFSE · pith_short_16: 25C5B6WMOFSEJMQ7 · pith_short_8: 25C5B6WM

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/25C5B6WMOFSEJMQ73NDHBU6IEQ \
  | 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: d745d0facc716444b21fdb4670d3c8243a4a85c93b6530f2e003664a5c28ecf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d60547911409f58e5871cff4062a6536a6bec5a948aecd6bcbcd7312f963c8",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-03-31T11:40:07Z",
    "title_canon_sha256": "537377b1bd95467d9a844f929d34b88cf5c7fbbea200c193ad2d901377fa4bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09535",
    "kind": "arxiv",
    "version": 2
  }
}