Pith Number

pith:PNLLGOCZ

pith:2021:PNLLGOCZWIDSEJJHDS42BDBIZA

not attested not anchored not stored refs pending

Topological Graph Neural Networks

Bastian Rieck, Edward De Brouwer, Karsten Borgwardt, Max Horn, Michael Moor, Yves Moreau

arxiv:2102.07835 v4 · 2021-02-15 · cs.LG · math.AT · 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{PNLLGOCZWIDSEJJHDS42BDBIZA}

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

From Persistence to Survival: Hypothesis Testing, Effect Sizes and Vectorisation for Topological Features

HodgeCover: Higher-Order Topological Coverage Drives Compression of Sparse Mixture-of-Experts

Receipt and verification

First computed	2026-07-05T04:05:56.895625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b56b33859b2072225271cb9a08c28c825b39231a40af5b121fa0efea6a2a257

Aliases

arxiv: 2102.07835 · arxiv_version: 2102.07835v4 · doi: 10.48550/arxiv.2102.07835 · pith_short_12: PNLLGOCZWIDS · pith_short_16: PNLLGOCZWIDSEJJH · pith_short_8: PNLLGOCZ

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/PNLLGOCZWIDSEJJHDS42BDBIZA \
  | 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: 7b56b33859b2072225271cb9a08c28c825b39231a40af5b121fa0efea6a2a257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee6eb964d3f5138fb9ce317521b7db70a948cab7e56c78c42cd24c81218c5117",
    "cross_cats_sorted": [
      "math.AT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-02-15T20:27:56Z",
    "title_canon_sha256": "af702a9f2628c4b0b3b26f14de70d885346f6b18feb7d38af7bb6be8aa4adadc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.07835",
    "kind": "arxiv",
    "version": 4
  }
}