Pith Number

pith:LALOPH62

pith:2025:LALOPH62C32TYO6LNUQ4VBFZCK

not attested not anchored not stored refs pending

GBGC: Efficient and Adaptive Graph Coarsening via Granular-ball Computing

Gaojie Xu, Guan Wang, Guoyin Wang, Sen Zhao, Shuyin Xia

arxiv:2506.19224 v1 · 2025-06-24 · 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{LALOPH62C32TYO6LNUQ4VBFZCK}

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	2026-07-05T11:26:11.616931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5816e79fda16f53c3bcb6d21ca84b9128ddac63f291f2f83422af93131fa8bff

Aliases

arxiv: 2506.19224 · arxiv_version: 2506.19224v1 · doi: 10.48550/arxiv.2506.19224 · pith_short_12: LALOPH62C32T · pith_short_16: LALOPH62C32TYO6L · pith_short_8: LALOPH62

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/LALOPH62C32TYO6LNUQ4VBFZCK \
  | 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: 5816e79fda16f53c3bcb6d21ca84b9128ddac63f291f2f83422af93131fa8bff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6eac4da9c536ef3384c8055616b501a42903339154a9ac0bbebfa689b6fe7b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-06-24T01:18:06Z",
    "title_canon_sha256": "2b31346681395ed78460e3202ccd45583ab09fbf20aa7ba18e56c467b0d97418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19224",
    "kind": "arxiv",
    "version": 1
  }
}