Pith Number

pith:A33HTGV3

pith:2026:A33HTGV35QI2VL5IT4MD7BAZBJ

not attested not anchored not stored refs pending

Breaking Structural Isolation: Scalable Graph Clustering via Community-Aware Sampling and Structural Entropy

Angsheng Li, Hao Peng, Jianxin Li, Jingyun Zhang, Philip S. Yu

arxiv:2607.05469 v1 · 2026-07-06 · cs.LG · cs.AI · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A33HTGV35QI2VL5IT4MD7BAZBJ}

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	2026-07-08T01:18:10.872609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f6799abbec11aaafa89f183f84190a6b17a0dee92f48ce1ff09f2a31ff2776

Aliases

arxiv: 2607.05469 · arxiv_version: 2607.05469v1 · doi: 10.48550/arxiv.2607.05469 · pith_short_12: A33HTGV35QI2 · pith_short_16: A33HTGV35QI2VL5I · pith_short_8: A33HTGV3

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/A33HTGV35QI2VL5IT4MD7BAZBJ \
  | 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: 06f6799abbec11aaafa89f183f84190a6b17a0dee92f48ce1ff09f2a31ff2776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef57320ac48ba537c34991636cf81724640eba75d267f8b614b7380442734cd",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-06T07:55:53Z",
    "title_canon_sha256": "ab89dfbdce60d34acabf110188e574507e134b06fe07bb77c349600dd83cec75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05469",
    "kind": "arxiv",
    "version": 1
  }
}