Pith Number

pith:HKS3WMR2

pith:2026:HKS3WMR24AOKUPFZLZ3JGMKFCD

not attested not anchored not stored refs pending

Automorphism-Induced Non-Canonicity in Top-k Explanations of Graph Neural Networks

Kaizhen Tan, Siru Tao, Xin Xu

arxiv:2607.26344 v1 · 2026-07-28 · 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{HKS3WMR24AOKUPFZLZ3JGMKFCD}

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	2026-07-30T01:18:07.305383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

3aa5bb323ae01caa3cb95e7693314510dea9320722c676221e1c9c2f73b70e8d

Aliases

arxiv: 2607.26344 · arxiv_version: 2607.26344v1 · doi: 10.48550/arxiv.2607.26344 · pith_short_12: HKS3WMR24AOK · pith_short_16: HKS3WMR24AOKUPFZ · pith_short_8: HKS3WMR2

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/HKS3WMR24AOKUPFZLZ3JGMKFCD \
  | 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: 3aa5bb323ae01caa3cb95e7693314510dea9320722c676221e1c9c2f73b70e8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91e91faabe2fb77d2a618db92f17d6644aff1857786fa031401386933cb2b07c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-28T23:36:05Z",
    "title_canon_sha256": "e60054c05cc3c1ee6721cab7b844637c96383007233feefe25c58cb7ec40bd59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26344",
    "kind": "arxiv",
    "version": 1
  }
}