Pith Number

pith:WAI3Q4XB

pith:2024:WAI3Q4XBKO3TSNRHGETZNSSZUI

not attested not anchored not stored refs pending

Homomorphism Counts for Graph Neural Networks: All About That Basis

Emily Jin, \.Ismail \.Ilkan Ceylan, Matthias Lanzinger, Michael Bronstein

arxiv:2402.08595 v5 · 2024-02-13 · 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{WAI3Q4XBKO3TSNRHGETZNSSZUI}

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

1 paper in Pith

HOPSE: Scalable Higher-Order Positional and Structural Encoder for Combinatorial Representations

Receipt and verification

First computed	2026-07-05T08:29:22.106099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b011b872e153b7393627312796ca59a21f1475bf1661026c4981c0ba8e14e88d

Aliases

arxiv: 2402.08595 · arxiv_version: 2402.08595v5 · doi: 10.48550/arxiv.2402.08595 · pith_short_12: WAI3Q4XBKO3T · pith_short_16: WAI3Q4XBKO3TSNRH · pith_short_8: WAI3Q4XB

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/WAI3Q4XBKO3TSNRHGETZNSSZUI \
  | 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: b011b872e153b7393627312796ca59a21f1475bf1661026c4981c0ba8e14e88d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "717a159aa06cc64369d21d3cc3a8369c52b264387184c79feaa2e4b448b6f0b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-02-13T16:57:06Z",
    "title_canon_sha256": "51b202a7fb536a5b456a1a4dc8cdb3e47a87df8cda3abbfef01e59b251d88df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.08595",
    "kind": "arxiv",
    "version": 5
  }
}