Pith Number

pith:5VCDJKLS

pith:2021:5VCDJKLSS5ETVY67YRQF4OHX4I

not attested not anchored not stored refs pending

Limit varieties of monoids satisfying a certain identity

Sergey V. Gusev, Wen Ting Zhang, Yu Xian Li

arxiv:2107.07120 v2 · 2021-07-15 · 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{5VCDJKLSS5ETVY67YRQF4OHX4I}

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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

Small monoids generating varieties with uncountably many subvarieties

Receipt and verification

First computed	2026-07-05T10:27:02.267612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4434a97297493ae3dfc4605e38f7e22dd07c4ba36adc3dd2ae700ceb7fb231

Aliases

arxiv: 2107.07120 · arxiv_version: 2107.07120v2 · doi: 10.48550/arxiv.2107.07120 · pith_short_12: 5VCDJKLSS5ET · pith_short_16: 5VCDJKLSS5ETVY67 · pith_short_8: 5VCDJKLS

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/5VCDJKLSS5ETVY67YRQF4OHX4I \
  | 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: ed4434a97297493ae3dfc4605e38f7e22dd07c4ba36adc3dd2ae700ceb7fb231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9473db5beffac8beb998405e242a0faf8b67c6372788e2dcec68c45b157820fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-07-15T04:59:42Z",
    "title_canon_sha256": "febb62f495cd3aadad99cc42c54e2dfb6390aca3b331d48eb9910bd4748c5d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.07120",
    "kind": "arxiv",
    "version": 2
  }
}