Pith Number

pith:CP4XQBZV

pith:2026:CP4XQBZVXUUO2A3DF3JY4ERF4P

not attested not anchored not stored refs pending

A General Framework for Learning Algebraic Properties from Cayley Graphs using Graph Neural Networks

Tal Weissblat

arxiv:2606.26212 v1 · 2026-06-24 · 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{CP4XQBZVXUUO2A3DF3JY4ERF4P}

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.

Cited by

1 paper in Pith

From Finite Cayley Graphs to Growth of Infinite Groups

Receipt and verification

First computed	2026-06-26T00:15:29.658045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f9780735bd28ed03632ed38e1225e3e960410437258a22e5f78ab2abc2580b

Aliases

arxiv: 2606.26212 · arxiv_version: 2606.26212v1 · doi: 10.48550/arxiv.2606.26212 · pith_short_12: CP4XQBZVXUUO · pith_short_16: CP4XQBZVXUUO2A3D · pith_short_8: CP4XQBZV

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/CP4XQBZVXUUO2A3DF3JY4ERF4P \
  | 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: 13f9780735bd28ed03632ed38e1225e3e960410437258a22e5f78ab2abc2580b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461c820f96af3cbaeae251d0b853d439920c68b24b7fb7e713886c85a1fd92c9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-24T17:37:16Z",
    "title_canon_sha256": "f2ce0e0542decb1ab488fa9e422a556617b7e0e72448b2f277420561d7f365ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26212",
    "kind": "arxiv",
    "version": 1
  }
}