Pith Number

pith:3BPEZBGV

pith:2025:3BPEZBGVAAC3LPBQI34TDF625L

not attested not anchored not stored refs pending

Learning Augmented Graph $k$-Clustering

Chenglin Fan, Kijun Shin

arxiv:2506.13533 v1 · 2025-06-16 · cs.LG · 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{3BPEZBGVAAC3LPBQI34TDF625L}

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	2026-07-05T11:22:21.753490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d85e4c84d50005b5bc3046f93197daeae92b060af83d439c3dbf32a2e3f17db9

Aliases

arxiv: 2506.13533 · arxiv_version: 2506.13533v1 · doi: 10.48550/arxiv.2506.13533 · pith_short_12: 3BPEZBGVAAC3 · pith_short_16: 3BPEZBGVAAC3LPBQ · pith_short_8: 3BPEZBGV

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/3BPEZBGVAAC3LPBQI34TDF625L \
  | 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: d85e4c84d50005b5bc3046f93197daeae92b060af83d439c3dbf32a2e3f17db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16cfeccd1f413af11e044370cc824e44965c4c846a48594f44f9ac85b86d1bd1",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-16T14:23:16Z",
    "title_canon_sha256": "4a0bd6419480da5f93b949fe970ce75bbe4198a72e817c175127903b0ee2c766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13533",
    "kind": "arxiv",
    "version": 1
  }
}