Pith Number

pith:OGHFLDWF

pith:2018:OGHFLDWFWPUG2SGIJMXX7OJGMB

not attested not anchored not stored refs pending

Qualitative Properties of the Minimum Sum-of-Squares Clustering Problem

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

arxiv:1810.02057 v1 · 2018-10-04 · 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{OGHFLDWFWPUG2SGIJMXX7OJGMB}

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	2026-05-18T00:04:06.434110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

718e558ec5b3e86d48c84b2f7fb926607c6f2bc7c7a711b29bf6e54ae7c52317

Aliases

arxiv: 1810.02057 · arxiv_version: 1810.02057v1 · doi: 10.48550/arxiv.1810.02057 · pith_short_12: OGHFLDWFWPUG · pith_short_16: OGHFLDWFWPUG2SGI · pith_short_8: OGHFLDWF

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/OGHFLDWFWPUG2SGIJMXX7OJGMB \
  | 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: 718e558ec5b3e86d48c84b2f7fb926607c6f2bc7c7a711b29bf6e54ae7c52317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ba6d8ace6c034d7ee567f4f61b283e7a95cd16917b049b929cb9ca5cb94da1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-04T04:52:25Z",
    "title_canon_sha256": "5a2426ac74ee402f145ee89bddd6e747a79d8d5a7735e6799f49f1eb4668e631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02057",
    "kind": "arxiv",
    "version": 1
  }
}