Pith Number

pith:GMIGUKRW

pith:2026:GMIGUKRW7SLUCVVXNW4BZVEVFN

not attested not anchored not stored refs pending

Learning Subgroup Relations Using Siamese Graph Neural Networks

Tal Weissblat

arxiv:2607.11140 v1 · 2026-07-13 · cs.LG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMIGUKRW7SLUCVVXNW4BZVEVFN}

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	2026-07-14T01:22:18.615293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33106a2a36fc974156b76db81cd4952b4a6ddd693e6c4ae7c4f7e053d24a6f41

Aliases

arxiv: 2607.11140 · arxiv_version: 2607.11140v1 · doi: 10.48550/arxiv.2607.11140 · pith_short_12: GMIGUKRW7SLU · pith_short_16: GMIGUKRW7SLUCVVX · pith_short_8: GMIGUKRW

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/GMIGUKRW7SLUCVVXNW4BZVEVFN \
  | 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: 33106a2a36fc974156b76db81cd4952b4a6ddd693e6c4ae7c4f7e053d24a6f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "622360ba98e69b35bae3c8ac36b7f5dd47598cff4bb38c898b9d293b4b187748",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-13T06:20:25Z",
    "title_canon_sha256": "cd65ad02143993ef1e92b4fce3e183768a0d0bd1d58b05206e85c2cb06ade7ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11140",
    "kind": "arxiv",
    "version": 1
  }
}