Pith Number

pith:2ITVUAV7

pith:2012:2ITVUAV7LQTQ3LR5OURFPRIWKP

not attested not anchored not stored refs pending

Finite semigroups that are minimal for not being Malcev nilpotent

E. Jespers, M. H. Shahzamanian

arxiv:1207.1638 v3 · 2012-07-06 · 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{2ITVUAV7LQTQ3LR5OURFPRIWKP}

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	2026-05-18T02:48:43.782258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2275a02bf5c270dae3d752257c51653ffd0b53c2ab8b572fe5582b3181f38b1

Aliases

arxiv: 1207.1638 · arxiv_version: 1207.1638v3 · doi: 10.48550/arxiv.1207.1638 · pith_short_12: 2ITVUAV7LQTQ · pith_short_16: 2ITVUAV7LQTQ3LR5 · pith_short_8: 2ITVUAV7

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/2ITVUAV7LQTQ3LR5OURFPRIWKP \
  | 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: d2275a02bf5c270dae3d752257c51653ffd0b53c2ab8b572fe5582b3181f38b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e55499656d4890fa683b3368359e18f2c2e5fdf1b3256a7e71cbc4b90747e7b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-07-06T14:29:22Z",
    "title_canon_sha256": "5455c483a20565e8baabff99c85d7b857fb115fddd59dfef9aeea138515689e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1638",
    "kind": "arxiv",
    "version": 3
  }
}