Pith Number

pith:DT7IUV4N

pith:2026:DT7IUV4N4JR5HR5TTOG4ZOTWJ5

not attested not anchored not stored refs pending

Scalable Message-Passing Quantum Graph Neural Networks in the Weisfeiler-Leman Hierarchy

Andr\'e J. Ferreira-Martins, Brian Coyle, Elham Kashefi, L\'eo Monbroussou, Renato M. S. Farias, Snehal Raj

arxiv:2606.26873 v1 · 2026-06-25 · quant-ph · 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{DT7IUV4N4JR5HR5TTOG4ZOTWJ5}

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	2026-06-26T01:16:02.510349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cfe8a578de263d3c7b39b8dccba764f761510c41b9bd18104bee12ddc437a85

Aliases

arxiv: 2606.26873 · arxiv_version: 2606.26873v1 · doi: 10.48550/arxiv.2606.26873 · pith_short_12: DT7IUV4N4JR5 · pith_short_16: DT7IUV4N4JR5HR5T · pith_short_8: DT7IUV4N

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/DT7IUV4N4JR5HR5TTOG4ZOTWJ5 \
  | 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: 1cfe8a578de263d3c7b39b8dccba764f761510c41b9bd18104bee12ddc437a85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "029e67549af260e515066e091b7f438fedc9d758274c7b2bd9efe58e46b235f1",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-25T10:58:29Z",
    "title_canon_sha256": "16f86bc479bf9ccde8fcb7f82dd4786d6196c9721bac896614d050a1545a6aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26873",
    "kind": "arxiv",
    "version": 1
  }
}