Pith Number

pith:27ON2HMN

pith:2018:27ON2HMNGCD6KRKZHOPFFXJY5Y

not attested not anchored not stored refs pending

On some groupoids of small orders with Bol-Moufang type of identities

Alexander Moldovyan, Victor Shcherbacov, Vladimir Chernov

arxiv:1812.02511 v1 · 2018-12-06 · 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{27ON2HMNGCD6KRKZHOPFFXJY5Y}

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	2026-05-17T23:58:55.515803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7dcdd1d8d3087e545593b9e52dd38ee2466745e214b532845e0a42cfd2b1b89

Aliases

arxiv: 1812.02511 · arxiv_version: 1812.02511v1 · doi: 10.48550/arxiv.1812.02511 · pith_short_12: 27ON2HMNGCD6 · pith_short_16: 27ON2HMNGCD6KRKZ · pith_short_8: 27ON2HMN

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/27ON2HMNGCD6KRKZHOPFFXJY5Y \
  | 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: d7dcdd1d8d3087e545593b9e52dd38ee2466745e214b532845e0a42cfd2b1b89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "091494378d454ba6cbb78da8211cf29bfeae60ac9ffd6e2676b319c05486fa5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-12-06T13:14:35Z",
    "title_canon_sha256": "7c5b13a16c96627ca43ffd18e7a2b10be30ca8040431591e6566ce708b8c2b8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02511",
    "kind": "arxiv",
    "version": 1
  }
}