Pith Number

pith:OVSMQ6LB

pith:2012:OVSMQ6LBT4WRM2UB3GOFN2P3NQ

not attested not anchored not stored refs pending

A simple D^2-sampling based PTAS for k-means and other Clustering Problems

Amit Kumar, Ragesh Jaiswal, Sandeep Sen

arxiv:1201.4206 v1 · 2012-01-20 · 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{OVSMQ6LBT4WRM2UB3GOFN2P3NQ}

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	2026-05-18T04:04:07.597837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7564c879619f2d166a81d99c56e9fb6c2caafe7c3ba7d4505c19f0e17f463a7c

Aliases

arxiv: 1201.4206 · arxiv_version: 1201.4206v1 · doi: 10.48550/arxiv.1201.4206 · pith_short_12: OVSMQ6LBT4WR · pith_short_16: OVSMQ6LBT4WRM2UB · pith_short_8: OVSMQ6LB

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/OVSMQ6LBT4WRM2UB3GOFN2P3NQ \
  | 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: 7564c879619f2d166a81d99c56e9fb6c2caafe7c3ba7d4505c19f0e17f463a7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cbb29a2c93fbd36e32a4f47e3236a8fbfbdd7586b9484c6017e943ec73dc7e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-01-20T05:01:48Z",
    "title_canon_sha256": "360b7fc7fab81efda55e70116da9125c477c3699cfb6e40ec8e86d43a7a16574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4206",
    "kind": "arxiv",
    "version": 1
  }
}