Pith Number

pith:LL36BD2E

pith:2025:LL36BD2EEDYMC4NVXLGAM5AURB

not attested not anchored not stored refs pending

On the Computational Capability of Graph Neural Networks: A Circuit Complexity Bound Perspective

Jiahao Zhang, Wei Wang, Xiaoyu Li, Yingyu Liang, Zhao Song, Zhenmei Shi

arxiv:2501.06444 v1 · 2025-01-11 · cs.LG · cs.AI · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LL36BD2EEDYMC4NVXLGAM5AURB}

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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

How Hard Is It for Message-Passing GNNs to Simulate One Weisfeiler-Lehman Color-Refinement Step?

Receipt and verification

First computed	2026-07-05T10:00:03.457941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af7e08f4420f0c171b5bacc06741488552ac46882fc8a09a5760100c72a8c36

Aliases

arxiv: 2501.06444 · arxiv_version: 2501.06444v1 · doi: 10.48550/arxiv.2501.06444 · pith_short_12: LL36BD2EEDYM · pith_short_16: LL36BD2EEDYMC4NV · pith_short_8: LL36BD2E

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/LL36BD2EEDYMC4NVXLGAM5AURB \
  | 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: 5af7e08f4420f0c171b5bacc06741488552ac46882fc8a09a5760100c72a8c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5e67b8555ce6cf762ec84b1e12c1840169a8adf047c9129f72bd0b534d4549c",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-11T05:54:10Z",
    "title_canon_sha256": "50b53312b26e604784183f3261d3cd5b1de2ae4db14b55db3a5e8b32057871ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06444",
    "kind": "arxiv",
    "version": 1
  }
}