Pith Number

pith:PPGARYDL

pith:2026:PPGARYDLNHJ3DWHGLAJZPTYLIX

not attested not anchored not stored refs pending

A Completion-Aware Framework for Impactful Counterfactual Explainability in Graph Neural Networks

Filippos Gouidis, Maria Myrto Villia, Panos Trahanias, Theodore Patkos

arxiv:2606.22033 v1 · 2026-06-20 · 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{PPGARYDLNHJ3DWHGLAJZPTYLIX}

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	2026-06-23T02:13:06.058281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bcc08e06b69d3b1d8e6581397cf0b45e5dd994c0882bccd4b99486465dd4520

Aliases

arxiv: 2606.22033 · arxiv_version: 2606.22033v1 · doi: 10.48550/arxiv.2606.22033 · pith_short_12: PPGARYDLNHJ3 · pith_short_16: PPGARYDLNHJ3DWHG · pith_short_8: PPGARYDL

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/PPGARYDLNHJ3DWHGLAJZPTYLIX \
  | 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: 7bcc08e06b69d3b1d8e6581397cf0b45e5dd994c0882bccd4b99486465dd4520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7f13e1601621c13541accdefdd8876dd2e341325daafc8ca876c71fb3976c8",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-20T13:13:02Z",
    "title_canon_sha256": "5cea95e8ccbf8cd164e60925b5e1e7b837d2a27822e76951ec74266acbf23b6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22033",
    "kind": "arxiv",
    "version": 1
  }
}