Pith Number

pith:XBFTUSFQ

pith:2026:XBFTUSFQQYK7NDSPAXMTNOOXYN

not attested not anchored not stored refs pending

Towards Faithful Graph Explanations with Synergistic Edge Effects via Granular Balls

Degang Chen, Fan Chen, Guan Wang, Jiancu Chen, Shuyin Xia

arxiv:2607.21381 v1 · 2026-07-23 · 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{XBFTUSFQQYK7NDSPAXMTNOOXYN}

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	2026-07-24T01:24:29.553508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b84b3a48b08615f68e4f05d936b9d7c37e94ab8e0b83bb58604658ca4f73d4eb

Aliases

arxiv: 2607.21381 · arxiv_version: 2607.21381v1 · doi: 10.48550/arxiv.2607.21381 · pith_short_12: XBFTUSFQQYK7 · pith_short_16: XBFTUSFQQYK7NDSP · pith_short_8: XBFTUSFQ

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/XBFTUSFQQYK7NDSPAXMTNOOXYN \
  | 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: b84b3a48b08615f68e4f05d936b9d7c37e94ab8e0b83bb58604658ca4f73d4eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f5b2c4a5fd771e9d9c90ea06ce1955040b70cd72ace9e23640f08ee096b198",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-23T14:44:51Z",
    "title_canon_sha256": "7b30153e72723534756fbc5124c6e4f80949602a16421c69bc9b3b4c652bdd2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21381",
    "kind": "arxiv",
    "version": 1
  }
}