Pith Number

pith:HMH3NFBT

pith:2021:HMH3NFBTEVBII4R3PSY2XQNW3O

not attested not anchored not stored refs pending

The Logic of Graph Neural Networks

Martin Grohe

arxiv:2104.14624 v2 · 2021-04-29 · cs.LG · cs.AI · 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{HMH3NFBTEVBII4R3PSY2XQNW3O}

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	2026-07-05T03:46:58.182829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0fb69433254284723b7cb1abc1b6dba91ed869a90dacd5e194ff76e6925b40

Aliases

arxiv: 2104.14624 · arxiv_version: 2104.14624v2 · doi: 10.48550/arxiv.2104.14624 · pith_short_12: HMH3NFBTEVBI · pith_short_16: HMH3NFBTEVBII4R3 · pith_short_8: HMH3NFBT

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/HMH3NFBTEVBII4R3PSY2XQNW3O \
  | 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: 3b0fb69433254284723b7cb1abc1b6dba91ed869a90dacd5e194ff76e6925b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb462ae1e8d3207122033feae2754d133663e54732a9e2d801d1510b302c5da6",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-04-29T19:23:26Z",
    "title_canon_sha256": "6a8444c59b1736c8cae40379298b33177ea6881cb2fb22764da89b5d8a74546b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.14624",
    "kind": "arxiv",
    "version": 2
  }
}