Pith Number

pith:OZN7PDCS

pith:2026:OZN7PDCS3IGMUA4CHPZZXB2DD6

not attested not anchored not stored refs pending

Learning to Execute Graph Algorithms Exactly with Graph Neural Networks

Artur Back de Luca, George Giapitzakis, Kimon Fountoulakis, Muhammad Fetrat Qharabagh

arxiv:2601.23207 v2 · 2026-01-30 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZN7PDCS3IGMUA4CHPZZXB2DD6}

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	2026-06-08T01:05:06.694400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

765bf78c52da0cca03823bf39b87431f844d6e3f91b072f570567b89260785dd

Aliases

arxiv: 2601.23207 · arxiv_version: 2601.23207v2 · doi: 10.48550/arxiv.2601.23207 · pith_short_12: OZN7PDCS3IGM · pith_short_16: OZN7PDCS3IGMUA4C · pith_short_8: OZN7PDCS

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/OZN7PDCS3IGMUA4CHPZZXB2DD6 \
  | 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: 765bf78c52da0cca03823bf39b87431f844d6e3f91b072f570567b89260785dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994f50228bb19b09c9bf818f95e9d747cee7b237c77e8abac582f0266ee11f47",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-01-30T17:31:26Z",
    "title_canon_sha256": "e11b09be24bfceb069db90e7b9571ec04a197c56d05fa03f400769b5baeb210d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.23207",
    "kind": "arxiv",
    "version": 2
  }
}