Pith Number

pith:VV5BXP3S

pith:2025:VV5BXP3S57VJJTX66DYTXBTR4Y

not attested not anchored not stored refs pending

Cayley graphs and their growth functions for multivalued groups

Matvei N. Zonov, Tatyana A. Kozlovskaya, Valeriy G. Bardakov

arxiv:2505.18804 v1 · 2025-05-24 · 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{VV5BXP3S57VJJTX66DYTXBTR4Y}

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	2026-07-05T11:09:19.852128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad7a1bbf72efea94cefef0f13b8671e618d40479467902849664e7fce7e93d1d

Aliases

arxiv: 2505.18804 · arxiv_version: 2505.18804v1 · doi: 10.48550/arxiv.2505.18804 · pith_short_12: VV5BXP3S57VJ · pith_short_16: VV5BXP3S57VJJTX6 · pith_short_8: VV5BXP3S

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/VV5BXP3S57VJJTX66DYTXBTR4Y \
  | 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: ad7a1bbf72efea94cefef0f13b8671e618d40479467902849664e7fce7e93d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86d594674cfefbafd01d101ecc8e5fd21299b65d65824f5a3cbc93aa96e191e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-24T17:27:08Z",
    "title_canon_sha256": "487a642eed5ddd8759f5c2852ed1bc7832f01f896060819b9e95e9f3c4b37d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.18804",
    "kind": "arxiv",
    "version": 1
  }
}