Pith Number

pith:5L6EADCK

pith:2025:5L6EADCKD6JI7LK2VGGY6DABM6

not attested not anchored not stored refs pending

A Logical View of GNN-Style Computation and the Role of Activation Functions

Floris Geerts, Jan Van den Bussche, Klara Pakhomenko, Matthias Lanzinger, Pablo Barcel\'o

arxiv:2512.19332 v2 · 2025-12-22 · cs.LG · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5L6EADCKD6JI7LK2VGGY6DABM6}

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	2026-05-27T01:05:41.595031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eafc400c4a1f928fad5aa98d8f0c0167b626230d54d2efe0d338586c7d88a940

Aliases

arxiv: 2512.19332 · arxiv_version: 2512.19332v2 · doi: 10.48550/arxiv.2512.19332 · pith_short_12: 5L6EADCKD6JI · pith_short_16: 5L6EADCKD6JI7LK2 · pith_short_8: 5L6EADCK

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/5L6EADCKD6JI7LK2VGGY6DABM6 \
  | 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: eafc400c4a1f928fad5aa98d8f0c0167b626230d54d2efe0d338586c7d88a940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9898d0e6a31cfc85ff6973779aebd5092d25c3dddfa0a38a87d7b0dbf1ebb8be",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-12-22T12:27:36Z",
    "title_canon_sha256": "dfff20134e749fdc9bccca0c2f8f4669eddc55d33a0e893cc5ebcd75e08a3309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.19332",
    "kind": "arxiv",
    "version": 2
  }
}