Pith Number

pith:G7CN2GVG

pith:2016:G7CN2GVGDBYI6AASLK7YFVYRYX

not attested not anchored not stored refs pending

Better Guarantees for k-Means and Euclidean k-Median by Primal-Dual Algorithms

Ashkan Norouzi-Fard, Justin Ward, Ola Svensson, Sara Ahmadian

arxiv:1612.07925 v2 · 2016-12-23 · 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{G7CN2GVGDBYI6AASLK7YFVYRYX}

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	2026-05-18T00:46:48.619382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37c4dd1aa618708f00125abf82d711c5d412aa46ae28b453d1178e5474d3a9f6

Aliases

arxiv: 1612.07925 · arxiv_version: 1612.07925v2 · doi: 10.48550/arxiv.1612.07925 · pith_short_12: G7CN2GVGDBYI · pith_short_16: G7CN2GVGDBYI6AAS · pith_short_8: G7CN2GVG

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/G7CN2GVGDBYI6AASLK7YFVYRYX \
  | 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: 37c4dd1aa618708f00125abf82d711c5d412aa46ae28b453d1178e5474d3a9f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "147f169472e1d672fd65dac1f85875450ab8671bb6e7dc4793eec2c806d8d9d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-12-23T10:34:53Z",
    "title_canon_sha256": "1de77d9abe71eeda38039a7167ff80c01c36037ddc4f5ee1d129c324b1467e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07925",
    "kind": "arxiv",
    "version": 2
  }
}