Pith Number

pith:ZV6B2OPZ

pith:2021:ZV6B2OPZ4A7AMNQPBHLLOAIZRB

not attested not anchored not stored refs pending

Weisfeiler and Lehman Go Topological: Message Passing Simplicial Networks

Cristian Bodnar, Fabrizio Frasca, Guido Mont\'ufar, Michael Bronstein, Nina Otter, Pietro Li\`o, Yu Guang Wang

arxiv:2103.03212 v2 · 2021-03-04 · cs.LG · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZV6B2OPZ4A7AMNQPBHLLOAIZRB}

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

4 papers in Pith

Adjusted Cup-Product Neural Layer

The Cognitive Categorical Transformer: Category-Theoretic Inductive Biases for Language Modeling

Learning Dynamic Stability Landscapes in Synchronization Networks

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

Receipt and verification

First computed	2026-07-05T02:48:59.851900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd7c1d39f9e03e06360f09d6b701198867ba1a514df77f83fde36436d6b900a6

Aliases

arxiv: 2103.03212 · arxiv_version: 2103.03212v2 · doi: 10.48550/arxiv.2103.03212 · pith_short_12: ZV6B2OPZ4A7A · pith_short_16: ZV6B2OPZ4A7AMNQP · pith_short_8: ZV6B2OPZ

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/ZV6B2OPZ4A7AMNQPBHLLOAIZRB \
  | 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: cd7c1d39f9e03e06360f09d6b701198867ba1a514df77f83fde36436d6b900a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa6b3ea6d410f293654b79ce20165632e35aeb992e9eac9cecebd33867acfb02",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-03-04T18:35:24Z",
    "title_canon_sha256": "51e2ac421c62398a4bc0c943d689d23c218129d5592109f2c6f101b847811fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.03212",
    "kind": "arxiv",
    "version": 2
  }
}