Pith Number

pith:NHA3MDSG

pith:2026:NHA3MDSGDFMG37TY24FHLJDCM2

not attested not anchored not stored refs pending

Enhanced Graph Neural Networks using K-Hop Gaussian Diffusion

Aoran Huang, Daiyan Li, Peng Wang, Xuling Zhang, Yongkui Yang, Zeiwei Chen

arxiv:2606.18317 v1 · 2026-06-16 · 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{NHA3MDSGDFMG37TY24FHLJDCM2}

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	2026-06-19T16:10:57.766703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c1b60e4619586dfe78d70a75a462669783793838f034a725811717b8d3583e

Aliases

arxiv: 2606.18317 · arxiv_version: 2606.18317v1 · doi: 10.48550/arxiv.2606.18317 · pith_short_12: NHA3MDSGDFMG · pith_short_16: NHA3MDSGDFMG37TY · pith_short_8: NHA3MDSG

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/NHA3MDSGDFMG37TY24FHLJDCM2 \
  | 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: 69c1b60e4619586dfe78d70a75a462669783793838f034a725811717b8d3583e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18ad4ec14d87f106c13ab686b4a89163a3a4bb65f337dd313925ec4d3d189ef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-16T12:33:17Z",
    "title_canon_sha256": "d695155b1adc87702ef37c57993dbcb74d24d399ee06ef6916555c71e7e845f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18317",
    "kind": "arxiv",
    "version": 1
  }
}