Pith Number

pith:EMOYMB2J

pith:2024:EMOYMB2JXI3M6PEZZ5BJABWEE2

not attested not anchored not stored refs pending

VC dimension of Graph Neural Networks with Pfaffian activation functions

Franco Scarselli, Giuseppe Alessio D'Inverno, Monica Bianchini

arxiv:2401.12362 v2 · 2024-01-22 · stat.ML · 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{EMOYMB2JXI3M6PEZZ5BJABWEE2}

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	2026-07-05T08:03:29.321728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

231d860749ba36cf3c99cf429006c426b7bf6eb884a646d533a3e81bbeb60430

Aliases

arxiv: 2401.12362 · arxiv_version: 2401.12362v2 · doi: 10.48550/arxiv.2401.12362 · pith_short_12: EMOYMB2JXI3M · pith_short_16: EMOYMB2JXI3M6PEZ · pith_short_8: EMOYMB2J

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/EMOYMB2JXI3M6PEZZ5BJABWEE2 \
  | 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: 231d860749ba36cf3c99cf429006c426b7bf6eb884a646d533a3e81bbeb60430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eed9b45ad4fa26867e7c9dfa9d551522c91319e0a64975548a496e50abcc08a",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-01-22T21:11:22Z",
    "title_canon_sha256": "3f7a573310b698c99e81e423e87b8e6a3df43f719f42160a34a93866f4354c3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.12362",
    "kind": "arxiv",
    "version": 2
  }
}