Pith Number

pith:SQHOWSJL

pith:2025:SQHOWSJLGWOCAK3VHM7KAO5FXO

not attested not anchored not stored refs pending

Fast and Distributed Equivariant Graph Neural Networks by Virtual Node Learning

Jiacheng Cen, Jiaqi Han, Wenbing Huang, Yuelin Zhang

arxiv:2506.19482 v1 · 2025-06-24 · 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{SQHOWSJLGWOCAK3VHM7KAO5FXO}

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	2026-07-05T11:26:15.742516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

940eeb492b359c202b753b3ea03ba5bb85d070b064d5e3e290c03421f1a67b8d

Aliases

arxiv: 2506.19482 · arxiv_version: 2506.19482v1 · doi: 10.48550/arxiv.2506.19482 · pith_short_12: SQHOWSJLGWOC · pith_short_16: SQHOWSJLGWOCAK3V · pith_short_8: SQHOWSJL

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/SQHOWSJLGWOCAK3VHM7KAO5FXO \
  | 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: 940eeb492b359c202b753b3ea03ba5bb85d070b064d5e3e290c03421f1a67b8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "909ba6e62024d1b844ef5ff7faf564348d9183414a1350e2cd804c9cba8b916d",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-24T10:17:38Z",
    "title_canon_sha256": "10bf98ecb79a170e67ce82d3d6acf74dc193e5ceec25046c2a1e89e2fb8bba51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19482",
    "kind": "arxiv",
    "version": 1
  }
}