Pith Number

pith:PHZRGB5G

pith:2018:PHZRGB5G3VCT7VDTPLNMTENPYD

not attested not anchored not stored refs pending

Invariant and Equivariant Graph Networks

Haggai Maron, Heli Ben-Hamu, Nadav Shamir, Yaron Lipman

arxiv:1812.09902 v2 · 2018-12-24 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHZRGB5G3VCT7VDTPLNMTENPYD}

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

5 papers in Pith

Drawback of Enforcing Equivariance and its Compensation via the Lens of Expressive Power

Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Graph Neural Networks in the Wilson Loop Representation of Abelian Lattice Gauge Theories

Operator-Guided Invariance Learning for Continuous Reinforcement Learning

Gauge-Equivariant Graph Neural Networks for Lattice Gauge Theories

Receipt and verification

First computed	2026-05-17T23:47:26.873911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f31307a6dd453fd4737adac991afc0ced276e5051a950522fc80c59d696fc2

Aliases

arxiv: 1812.09902 · arxiv_version: 1812.09902v2 · doi: 10.48550/arxiv.1812.09902 · pith_short_12: PHZRGB5G3VCT · pith_short_16: PHZRGB5G3VCT7VDT · pith_short_8: PHZRGB5G

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/PHZRGB5G3VCT7VDTPLNMTENPYD \
  | 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: 79f31307a6dd453fd4737adac991afc0ced276e5051a950522fc80c59d696fc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d388cca157b8ccd3867b96fb66abda2bc9d2db132b67948863f2e466b3bb6ed",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-12-24T11:52:27Z",
    "title_canon_sha256": "34cc0187d3b677afc0d9c38f75ea8589bf77a9cbfe91b100efe597ac4389c1cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09902",
    "kind": "arxiv",
    "version": 2
  }
}