Pith Number

pith:PT5VHBMQ

pith:2026:PT5VHBMQRHFSDCFFY5OZFU7SRU

not attested not anchored not stored refs pending

Counterfactual Explanations for Hypergraph Neural Networks

Fabiano Veglianti, Gabriele Tolomei, Lorenzo Antonelli

arxiv:2602.04360 v2 · 2026-02-04 · cs.LG · cs.AI · cs.CY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PT5VHBMQRHFSDCFFY5OZFU7SRU}

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	2026-05-26T01:03:24.520279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cfb53859089cb2188a5c75d92d3f28d3054f978440f6b1ab8b707d17a81b48a

Aliases

arxiv: 2602.04360 · arxiv_version: 2602.04360v2 · doi: 10.48550/arxiv.2602.04360 · pith_short_12: PT5VHBMQRHFS · pith_short_16: PT5VHBMQRHFSDCFF · pith_short_8: PT5VHBMQ

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/PT5VHBMQRHFSDCFFY5OZFU7SRU \
  | 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: 7cfb53859089cb2188a5c75d92d3f28d3054f978440f6b1ab8b707d17a81b48a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a5e48bf1eb0e822287962d0f2b85b498bc8f971324bb48e8c724faa65ba1f2",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-04T09:34:03Z",
    "title_canon_sha256": "1bdc9855024070d41b8e0a5758170e28e51e3a2cba7f4a76b5a0e83f40facb86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.04360",
    "kind": "arxiv",
    "version": 2
  }
}