Pith Number

pith:GZM5VAC2

pith:2018:GZM5VAC2EMTRNGVEINT3QKOXN5

not attested not anchored not stored refs pending

The structure of idempotent translatable quasigroups

Robert A. R. Monzo, Wieslaw A. Dudek

arxiv:1810.04566 v1 · 2018-10-09 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZM5VAC2EMTRNGVEINT3QKOXN5}

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	2026-05-18T00:03:39.720362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3659da805a2327169aa44367b829d76f4bbb9e9754e0aa2f512e0d3416433777

Aliases

arxiv: 1810.04566 · arxiv_version: 1810.04566v1 · doi: 10.48550/arxiv.1810.04566 · pith_short_12: GZM5VAC2EMTR · pith_short_16: GZM5VAC2EMTRNGVE · pith_short_8: GZM5VAC2

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/GZM5VAC2EMTRNGVEINT3QKOXN5 \
  | 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: 3659da805a2327169aa44367b829d76f4bbb9e9754e0aa2f512e0d3416433777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe479fd0fcf848bf8cbae78a9ad267fe19c995ba882e489ab04427088063f95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-10-09T16:37:16Z",
    "title_canon_sha256": "2c46864d0f543f8e823f7a08cd4b154ccbef63cbfce2658362f8f86aaa95fcc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04566",
    "kind": "arxiv",
    "version": 1
  }
}