Pith Number

pith:6BVATLYW

pith:2021:6BVATLYWGXCSMRJMWPVAZNMNSJ

not attested not anchored not stored refs pending

Local Augmentation for Graph Neural Networks

Dinghao Wu, HanZe Dong, Junzhou Huang, Lanqing Li, Peilin Zhao, Rex Ying, Songtao Liu, Tingyang Xu, Yu Rong

arxiv:2109.03856 v4 · 2021-09-08 · 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{6BVATLYWGXCSMRJMWPVAZNMNSJ}

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	2026-07-05T04:35:09.173049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f06a09af1635c526452cb3ea0cb58d927b84622f1381352b4283577db8dc40ad

Aliases

arxiv: 2109.03856 · arxiv_version: 2109.03856v4 · doi: 10.48550/arxiv.2109.03856 · pith_short_12: 6BVATLYWGXCS · pith_short_16: 6BVATLYWGXCSMRJM · pith_short_8: 6BVATLYW

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/6BVATLYWGXCSMRJMWPVAZNMNSJ \
  | 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: f06a09af1635c526452cb3ea0cb58d927b84622f1381352b4283577db8dc40ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "875a394be5bbbd226a92d78f9631adc176d9635c78307d50bb2f72b6617dab2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-09-08T18:10:08Z",
    "title_canon_sha256": "f88e6332a00f4a79a997c3fedffc3b419198295f3c055defeaa6ec1bb7f82f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.03856",
    "kind": "arxiv",
    "version": 4
  }
}