Pith Number

pith:O2UFNGKP

pith:2022:O2UFNGKPCD6HMZPXYY5S4TUQRZ

not attested not anchored not stored refs pending

Higher-order Clustering and Pooling for Graph Neural Networks

Alexandre Duval, Fragkiskos Malliaros

arxiv:2209.03473 v1 · 2022-09-02 · 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{O2UFNGKPCD6HMZPXYY5S4TUQRZ}

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	2026-07-05T04:55:42.255442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a856994f10fc7665f7c63b2e4e908e739c6d2c0e64b6d68df73d25b7e42922

Aliases

arxiv: 2209.03473 · arxiv_version: 2209.03473v1 · doi: 10.48550/arxiv.2209.03473 · pith_short_12: O2UFNGKPCD6H · pith_short_16: O2UFNGKPCD6HMZPX · pith_short_8: O2UFNGKP

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/O2UFNGKPCD6HMZPXYY5S4TUQRZ \
  | 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: 76a856994f10fc7665f7c63b2e4e908e739c6d2c0e64b6d68df73d25b7e42922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5331d731ef04f0b23640d7624f13df1f547be0c6616a51f4a3bd125e68411554",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-09-02T09:17:10Z",
    "title_canon_sha256": "284a56c0a0c92b73738c806f0b3dd811983abd9d36f2a144a8dbfbbe9b81e757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.03473",
    "kind": "arxiv",
    "version": 1
  }
}