Pith Number

pith:MY7QJDLE

pith:2023:MY7QJDLEXUIIV5RPRTLWVUGA7Y

not attested not anchored not stored refs pending

Collective Robustness Certificates: Exploiting Interdependence in Graph Neural Networks

Aleksandar Bojchevski, Jan Schuchardt, Johannes Gasteiger, Stephan G\"unnemann

arxiv:2302.02829 v1 · 2023-02-06 · cs.LG · cs.CR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MY7QJDLEXUIIV5RPRTLWVUGA7Y}

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	2026-07-05T05:39:07.223484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

663f048d64bd108af62f8cd76ad0c0fe2d005934fcb0650e31f0794b8f4ac916

Aliases

arxiv: 2302.02829 · arxiv_version: 2302.02829v1 · doi: 10.48550/arxiv.2302.02829 · pith_short_12: MY7QJDLEXUII · pith_short_16: MY7QJDLEXUIIV5RP · pith_short_8: MY7QJDLE

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/MY7QJDLEXUIIV5RPRTLWVUGA7Y \
  | 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: 663f048d64bd108af62f8cd76ad0c0fe2d005934fcb0650e31f0794b8f4ac916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6990c9dc032f868c7f100c94b535422bcbd406500a5cca2d73678cafdf4a69a4",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-02-06T14:46:51Z",
    "title_canon_sha256": "9a33bc5433798a8c90115a1f0de2ec394c64cb1b3057dea395a83bcc5fa037e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.02829",
    "kind": "arxiv",
    "version": 1
  }
}