Pith Number

pith:XD6FHW5M

pith:2021:XD6FHW5MXD5YNS6HV33O3EIIQZ

not attested not anchored not stored refs pending

Robust Counterfactual Explanations on Graph Neural Networks

Jian Pei, Lanjun Wang, Lingyang Chu, Mohit Bajaj, Peter Cho-Ho Lam, Yong Zhang, Zi Yu Xue

arxiv:2107.04086 v3 · 2021-07-08 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XD6FHW5MXD5YNS6HV33O3EIIQZ}

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	2026-07-05T04:39:46.839563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8fc53dbacb8fb86cbc7aef6ed91088669d4a52b340cd16de3918d02495556d4

Aliases

arxiv: 2107.04086 · arxiv_version: 2107.04086v3 · doi: 10.48550/arxiv.2107.04086 · pith_short_12: XD6FHW5MXD5Y · pith_short_16: XD6FHW5MXD5YNS6H · pith_short_8: XD6FHW5M

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/XD6FHW5MXD5YNS6HV33O3EIIQZ \
  | 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: b8fc53dbacb8fb86cbc7aef6ed91088669d4a52b340cd16de3918d02495556d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94477ffe240cf0da176a905f4219daece546b122dfa408510f42a47dc29d732a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-07-08T19:50:00Z",
    "title_canon_sha256": "512b75fa7d1b9b050324621473583fcf4e28ebd0a02bfab88d0e82e94b85816a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04086",
    "kind": "arxiv",
    "version": 3
  }
}