Pith Number

pith:WL2NFIKV

pith:2025:WL2NFIKV64GQGVHMZVG5GUBYA6

not attested not anchored not stored refs pending

On the Relationship Between Robustness and Expressivity of Graph Neural Networks

Lorenz Kummer, Nils M. Kriege, Wilfried N. Gansterer

arxiv:2504.13786 v1 · 2025-04-18 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WL2NFIKV64GQGVHMZVG5GUBYA6}

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	2026-07-05T10:51:02.124296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2f4d2a155f70d0354eccd4dd3503807a3898a2d8f7ff424e3837fbc163409b5

Aliases

arxiv: 2504.13786 · arxiv_version: 2504.13786v1 · doi: 10.48550/arxiv.2504.13786 · pith_short_12: WL2NFIKV64GQ · pith_short_16: WL2NFIKV64GQGVHM · pith_short_8: WL2NFIKV

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/WL2NFIKV64GQGVHMZVG5GUBYA6 \
  | 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: b2f4d2a155f70d0354eccd4dd3503807a3898a2d8f7ff424e3837fbc163409b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9680a4e69d2806ab15ac1f5929569e2c86f3934b454cc48d6a24ab007d15fb1c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-04-18T16:38:33Z",
    "title_canon_sha256": "80b02cfb17bf27ea16087ab5cf824523ab470e8a54d2f919c89d641c156890b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.13786",
    "kind": "arxiv",
    "version": 1
  }
}