Pith Number

pith:SHTTY6PY

pith:2015:SHTTY6PY5GHLCMFSVQN2UHRWXJ

not attested not anchored not stored refs pending

A bi-criteria approximation algorithm for $k$ Means

Justin Ward, Konstantin Makarychev, Maxim Sviridenko, Yury Makarychev

arxiv:1507.04227 v2 · 2015-07-15 · 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{SHTTY6PY5GHLCMFSVQN2UHRWXJ}

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	2026-05-18T01:35:59.425842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91e73c79f8e98eb130b2ac1baa1e36ba524326841d419afed18d73dc6a2e744a

Aliases

arxiv: 1507.04227 · arxiv_version: 1507.04227v2 · doi: 10.48550/arxiv.1507.04227 · pith_short_12: SHTTY6PY5GHL · pith_short_16: SHTTY6PY5GHLCMFS · pith_short_8: SHTTY6PY

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/SHTTY6PY5GHLCMFSVQN2UHRWXJ \
  | 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: 91e73c79f8e98eb130b2ac1baa1e36ba524326841d419afed18d73dc6a2e744a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34b365310886195b6049c0287b390adb52dc21ba8aceeff1512e495f6e152702",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-07-15T14:15:01Z",
    "title_canon_sha256": "9251bb53ce748fdf8fb942295b8bc361df4d05fb7286096648480fc2af69096c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04227",
    "kind": "arxiv",
    "version": 2
  }
}