Pith Number

pith:MVLOT4QV

pith:2011:MVLOT4QVWGDLAGQTZXPADUX74W

not attested not anchored not stored refs pending

Hirsch-Plotkin radical of stability groups

Carlo Casolo, Orazio Puglisi

arxiv:1107.3955 v1 · 2011-07-20 · 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{MVLOT4QVWGDLAGQTZXPADUX74W}

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	2026-05-18T04:17:14.354732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6556e9f215b186b01a13cdde01d2ffe5965e76271905ef9b7727f3af0491fe89

Aliases

arxiv: 1107.3955 · arxiv_version: 1107.3955v1 · doi: 10.48550/arxiv.1107.3955 · pith_short_12: MVLOT4QVWGDL · pith_short_16: MVLOT4QVWGDLAGQT · pith_short_8: MVLOT4QV

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/MVLOT4QVWGDLAGQTZXPADUX74W \
  | 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: 6556e9f215b186b01a13cdde01d2ffe5965e76271905ef9b7727f3af0491fe89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1750906298b78a30ca364b644237e31d6074c50405536282224188aaa2670b4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-20T12:18:33Z",
    "title_canon_sha256": "58cd849090a387d9cfcd3205e3b1640775fbd78377245bc2a2c02964e80e3a9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3955",
    "kind": "arxiv",
    "version": 1
  }
}