Pith Number

pith:YVFC3XHX

pith:2024:YVFC3XHX7A3ADPF2PGSWN3JCA3

not attested not anchored not stored refs pending

Beyond Weisfeiler-Lehman: A Quantitative Framework for GNN Expressiveness

Bohang Zhang, Di He, Jingchu Gai, Liwei Wang, Qiwei Ye, Yiheng Du

arxiv:2401.08514 v1 · 2024-01-16 · cs.LG · cs.DM · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVFC3XHX7A3ADPF2PGSWN3JCA3}

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

Algorithmic Foundations of Deep Learning: Complexity-Theoretic Rates and a Characterization of Universal Approximation

QuIC: A Training-Free Quantum Graph Embedding from Ideal Analysis to Practical Hardware Evaluation

Receipt and verification

First computed	2026-07-05T07:34:12.903813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c54a2ddcf7f83601bcba79a566ed2206c6c943caab94b9f7c3347195c457b98f

Aliases

arxiv: 2401.08514 · arxiv_version: 2401.08514v1 · doi: 10.48550/arxiv.2401.08514 · pith_short_12: YVFC3XHX7A3A · pith_short_16: YVFC3XHX7A3ADPF2 · pith_short_8: YVFC3XHX

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/YVFC3XHX7A3ADPF2PGSWN3JCA3 \
  | 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: c54a2ddcf7f83601bcba79a566ed2206c6c943caab94b9f7c3347195c457b98f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df3201e252e3503168211749572e36978a27b12a89e97934e8773c99cac460f",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-01-16T17:23:23Z",
    "title_canon_sha256": "a4d239a35e732820bd19e5f612204a07528f947183557c19b74733d67984c17c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.08514",
    "kind": "arxiv",
    "version": 1
  }
}