Pith Number

pith:K3RVDW5T

pith:2025:K3RVDW5TPJGCNQFOEVFAGLR77J

not attested not anchored not stored refs pending

Homomorphism Expressivity of Spectral Invariant Graph Neural Networks

Bohang Zhang, Haggai Maron, Jingchu Gai, Liwei Wang, Yiheng Du

arxiv:2503.00485 v1 · 2025-03-01 · 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{K3RVDW5TPJGCNQFOEVFAGLR77J}

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	2026-07-05T10:22:23.840377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56e351dbb37a4c26c0ae254a032e3ffa49f858aa028df1ca9b7c2a5f14fe9038

Aliases

arxiv: 2503.00485 · arxiv_version: 2503.00485v1 · doi: 10.48550/arxiv.2503.00485 · pith_short_12: K3RVDW5TPJGC · pith_short_16: K3RVDW5TPJGCNQFO · pith_short_8: K3RVDW5T

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/K3RVDW5TPJGCNQFOEVFAGLR77J \
  | 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: 56e351dbb37a4c26c0ae254a032e3ffa49f858aa028df1ca9b7c2a5f14fe9038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fba0e7c1c96caaa9873b68bd8b914fffae48f86c9a9370a7a80778c51f2464",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-03-01T13:23:49Z",
    "title_canon_sha256": "30a7782c02b49d9c7abc6c4d40f232340acacb615223a3c28a90f9f898024f20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.00485",
    "kind": "arxiv",
    "version": 1
  }
}