Pith Number

pith:7BRDMLYN

pith:2025:7BRDMLYN4BW7ZPIAXKHECRH5XE

not attested not anchored not stored refs pending

On the Rademacher Complexity of Graph Neural Networks: Unifying Expressivity and Geometry

Caio F. Deberaldini Netto, Caterina Graziani, Ehimare Okoyomon, Martin Carrasco, Vahan A. Martirosyan

arxiv:2510.10101 v4 · 2025-10-11 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BRDMLYN4BW7ZPIAXKHECRH5XE}

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	2026-07-30T01:19:13.072400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

f862362f0de06dfcbd00ba8e4144fdb9213c4eab8a68b27fa75377986d26b16b

Aliases

arxiv: 2510.10101 · arxiv_version: 2510.10101v4 · doi: 10.48550/arxiv.2510.10101 · pith_short_12: 7BRDMLYN4BW7 · pith_short_16: 7BRDMLYN4BW7ZPIA · pith_short_8: 7BRDMLYN

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/7BRDMLYN4BW7ZPIAXKHECRH5XE \
  | 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: f862362f0de06dfcbd00ba8e4144fdb9213c4eab8a68b27fa75377986d26b16b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74dfdbc81b1cd5318ed095bac4de9f2c0664995849bbae701c9133e0cf8569bf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-10-11T08:24:07Z",
    "title_canon_sha256": "191e117b323c53f7ad95b0aacc17daf4e1d4092e931863d9f0c50a884e5d074e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.10101",
    "kind": "arxiv",
    "version": 4
  }
}