Pith Number

pith:SX7CG2YS

pith:2016:SX7CG2YSZCTXPKZPPR2S6SXODO

not attested not anchored not stored refs pending

Greedy bi-criteria approximations for $k$-medians and $k$-means

Daniel Hsu, Matus Telgarsky

arxiv:1607.06203 v1 · 2016-07-21 · cs.DS · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SX7CG2YSZCTXPKZPPR2S6SXODO}

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	2026-05-18T01:10:42.273762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95fe236b12c8a777ab2f7c752f4aee1b9ee0eec0a497783c6110bfbdfb8cf783

Aliases

arxiv: 1607.06203 · arxiv_version: 1607.06203v1 · doi: 10.48550/arxiv.1607.06203 · pith_short_12: SX7CG2YSZCTX · pith_short_16: SX7CG2YSZCTXPKZP · pith_short_8: SX7CG2YS

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/SX7CG2YSZCTXPKZPPR2S6SXODO \
  | 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: 95fe236b12c8a777ab2f7c752f4aee1b9ee0eec0a497783c6110bfbdfb8cf783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19aaacb1f7a2d5a3145008379bfd5d429047fdcddc3bbf0afebf2fd2c16d0ba2",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-07-21T06:04:36Z",
    "title_canon_sha256": "82f0ae45f507a60813ef6877d3f8611c9e4b3405190477e2cc98866bdba51436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06203",
    "kind": "arxiv",
    "version": 1
  }
}