Pith Number

pith:X34BYG7S

pith:2019:X34BYG7SBMSCLVJSKSJAND2JHS

not attested not anchored not stored refs pending

k-hop Graph Neural Networks

George Dasoulas, Giannis Nikolentzos, Michalis Vazirgiannis

arxiv:1907.06051 v2 · 2019-07-13 · stat.ML · 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{X34BYG7SBMSCLVJSKSJAND2JHS}

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	2026-07-05T01:25:34.760375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bef81c1bf20b2425d5325492068f493c8e7c9627ec9301f3f67813b1f6ff8c13

Aliases

arxiv: 1907.06051 · arxiv_version: 1907.06051v2 · doi: 10.48550/arxiv.1907.06051 · pith_short_12: X34BYG7SBMSC · pith_short_16: X34BYG7SBMSCLVJS · pith_short_8: X34BYG7S

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/X34BYG7SBMSCLVJSKSJAND2JHS \
  | 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: bef81c1bf20b2425d5325492068f493c8e7c9627ec9301f3f67813b1f6ff8c13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "018e951a86777225a5de4393f2b3ef3d8cd2dec3e74beaa43860a1c865f7c060",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-07-13T11:31:57Z",
    "title_canon_sha256": "ff06144cbd22416a5c439ba86618c2f8e9bec9ccaad028734b9876bc7cb55b49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06051",
    "kind": "arxiv",
    "version": 2
  }
}