Pith Number

pith:YBYLJ4AR

pith:2022:YBYLJ4ARIXFYSIJAMJCXPE67AZ

not attested not anchored not stored refs pending

Understanding and Extending Subgraph GNNs by Rethinking Their Symmetries

Beatrice Bevilacqua, Fabrizio Frasca, Haggai Maron, Michael M. Bronstein

arxiv:2206.11140 v3 · 2022-06-22 · 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{YBYLJ4ARIXFYSIJAMJCXPE67AZ}

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	2026-07-05T05:06:32.561304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c070b4f01145cb89212062457793df0673d99b6aad23cfdc67290aed3c17269d

Aliases

arxiv: 2206.11140 · arxiv_version: 2206.11140v3 · doi: 10.48550/arxiv.2206.11140 · pith_short_12: YBYLJ4ARIXFY · pith_short_16: YBYLJ4ARIXFYSIJA · pith_short_8: YBYLJ4AR

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/YBYLJ4ARIXFYSIJAMJCXPE67AZ \
  | 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: c070b4f01145cb89212062457793df0673d99b6aad23cfdc67290aed3c17269d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e75d055ebe7321ad23ac53c1f6daf4cb60e4b9ade28679820a6161f67d53ac6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-06-22T14:35:47Z",
    "title_canon_sha256": "06b958fb55909bf443af8cd4f7f7833bd17d40b95a0ca7826aca664902fcfca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.11140",
    "kind": "arxiv",
    "version": 3
  }
}