Pith Number

pith:6ADZ2FTX

pith:2025:6ADZ2FTXFKYZGDU7PBXHABZVJ6

not attested not anchored not stored refs pending

Exact Verification of Graph Neural Networks with Incremental Constraint Solving

Chia-Hsuan Lu, Marta Kwiatkowska, Minghao Liu

arxiv:2508.09320 v3 · 2025-08-12 · cs.LG · cs.AI · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ADZ2FTXFKYZGDU7PBXHABZVJ6}

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	2026-05-18T02:44:33.419672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0079d16772ab1930e9f786e7007354fbb284f5f0e3313bf71b64e708a4a157f

Aliases

arxiv: 2508.09320 · arxiv_version: 2508.09320v3 · doi: 10.48550/arxiv.2508.09320 · pith_short_12: 6ADZ2FTXFKYZ · pith_short_16: 6ADZ2FTXFKYZGDU7 · pith_short_8: 6ADZ2FTX

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/6ADZ2FTXFKYZGDU7PBXHABZVJ6 \
  | 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: f0079d16772ab1930e9f786e7007354fbb284f5f0e3313bf71b64e708a4a157f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da0e69328c68a5b85d1a8b0decc4530f85c484e7be52e036ab614cb9831e17b5",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-12T20:10:31Z",
    "title_canon_sha256": "cc82b35c0a4e3f0242c6c65866fc3a0566f39d4f60496584330c47615952e465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09320",
    "kind": "arxiv",
    "version": 3
  }
}