Pith Number

pith:S27V6O7T

pith:2019:S27V6O7TPDIVGEMTS76AXYN4EI

not attested not anchored not stored refs pending

On Some Incremental Algorithms for the Minimum Sum-of-Squares Clustering Problem. Part 1: Ordin and Bagirov's Incremental Algorithm

Jen-Chih Yao, Nguyen Dong Yen, Tran Hung Cuong

arxiv:1901.10151 v1 · 2019-01-29 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S27V6O7TPDIVGEMTS76AXYN4EI}

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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	2026-05-17T23:55:16.021958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96bf5f3bf378d153119397fc0be1bc220c6f0c9667a1772cf2b4197d142750d7

Aliases

arxiv: 1901.10151 · arxiv_version: 1901.10151v1 · doi: 10.48550/arxiv.1901.10151 · pith_short_12: S27V6O7TPDIV · pith_short_16: S27V6O7TPDIVGEMT · pith_short_8: S27V6O7T

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/S27V6O7TPDIVGEMTS76AXYN4EI \
  | 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: 96bf5f3bf378d153119397fc0be1bc220c6f0c9667a1772cf2b4197d142750d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f617920349ca9f72d0a6f766319be6f124a41c1a26c864da4cb2ac2c1f26dea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-29T07:59:50Z",
    "title_canon_sha256": "fe5bee7abc31cefc423f73f3699ca9f572f91502b7184bd77be64eaf7b0c0454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10151",
    "kind": "arxiv",
    "version": 1
  }
}