Pith Number

pith:L7XWXO2B

pith:2025:L7XWXO2BGGCT53H35AXW5DK2AJ

not attested not anchored not stored refs pending

Graph Learning via Logic-Based Weisfeiler-Leman Variants and Tabularization

Antti Kuusisto, Magdalena Ortiz, Mantas \v{S}imkus, Matias Selin, Reijo Jaakkola, Tomi Janhunen

arxiv:2508.10651 v3 · 2025-08-14 · 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{L7XWXO2BGGCT53H35AXW5DK2AJ}

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.

Cited by

2 papers in Pith

Model Comparison Games for Generalized Quantifiers

The Polynomial Counting Capabilities of Message Passing Neural Networks

Receipt and verification

First computed	2026-05-25T02:01:06.011766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fef6bbb4131853eecfbe82f6e8d5a024865545beea3528b3956d63da4814530

Aliases

arxiv: 2508.10651 · arxiv_version: 2508.10651v3 · doi: 10.48550/arxiv.2508.10651 · pith_short_12: L7XWXO2BGGCT · pith_short_16: L7XWXO2BGGCT53H3 · pith_short_8: L7XWXO2B

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/L7XWXO2BGGCT53H35AXW5DK2AJ \
  | 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: 5fef6bbb4131853eecfbe82f6e8d5a024865545beea3528b3956d63da4814530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1bbab058a85156d9a5325bb49f6f3ae5c8a37b3fd31c403b743ac33e5bb4f3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-14T13:47:50Z",
    "title_canon_sha256": "7f36ef98f18a3f289b741409694d62d44673f917b4d700bfa53dec114e01bf9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.10651",
    "kind": "arxiv",
    "version": 3
  }
}