Pith Number

pith:4WPA4MYA

pith:2025:4WPA4MYAXZCBIX7GAIUX567WYH

not attested not anchored not stored refs pending

Deep k-grouping: An Unsupervised Learning Framework for Combinatorial Optimization on Graphs and Hypergraphs

Chunqi Yang, Sen Bai, Xin Bai, Xin Zhang, Zhengang Jiang

arxiv:2505.20972 v1 · 2025-05-27 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WPA4MYAXZCBIX7GAIUX567WYH}

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	2026-07-05T11:10:21.826084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59e0e3300be44145fe602297efbf6c1da4b0752fcdb614c7d317dc36e76f9ac

Aliases

arxiv: 2505.20972 · arxiv_version: 2505.20972v1 · doi: 10.48550/arxiv.2505.20972 · pith_short_12: 4WPA4MYAXZCB · pith_short_16: 4WPA4MYAXZCBIX7G · pith_short_8: 4WPA4MYA

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/4WPA4MYAXZCBIX7GAIUX567WYH \
  | 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: e59e0e3300be44145fe602297efbf6c1da4b0752fcdb614c7d317dc36e76f9ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0448f95c48ea1f2a9f2a1d8ad9bbd09f8c4d12bd006918bdee5196dccd3f6b89",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-27T10:04:54Z",
    "title_canon_sha256": "413fa72e667459b0b72dea939530dde972c808e44c6cf482f79348ef51e967f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20972",
    "kind": "arxiv",
    "version": 1
  }
}