Pith Number

pith:A3GFF7EO

pith:2025:A3GFF7EO6YYJBMTOOVXKJKI4WH

not attested not anchored not stored refs pending

Strong bounds for large-scale Minimum Sum-of-Squares Clustering

Anna Livia Croella, Antonio M. Sudoso, Veronica Piccialli

arxiv:2502.08397 v3 · 2025-02-12 · math.OC · 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{A3GFF7EO6YYJBMTOOVXKJKI4WH}

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	2026-08-05T00:40:39.396426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06cc52fc8ef63090b26e756ea4a91cb1e05b8c8c3282e5f2744f5cc3f99f79d6

Aliases

arxiv: 2502.08397 · arxiv_version: 2502.08397v3 · doi: 10.48550/arxiv.2502.08397 · pith_short_12: A3GFF7EO6YYJ · pith_short_16: A3GFF7EO6YYJBMTO · pith_short_8: A3GFF7EO

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/A3GFF7EO6YYJBMTOOVXKJKI4WH \
  | 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: 06cc52fc8ef63090b26e756ea4a91cb1e05b8c8c3282e5f2744f5cc3f99f79d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2f1151cc9c5e34d7deac0158ee917500a7c9953b52d714f28ec144c248c674c",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-02-12T13:40:00Z",
    "title_canon_sha256": "75f547e1fddc4a44956e797abb84a645184d98afeec78f65cf1526ed886eaea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08397",
    "kind": "arxiv",
    "version": 3
  }
}