Pith Number

pith:D3TSOCMK

pith:2013:D3TSOCMKTINDMGC4CIAWCXMCOQ

not attested not anchored not stored refs pending

Finite groups and Lie rings with a metacyclic Frobenius group of automorphisms

E. I. Khukhro, N. Yu. Makarenko

arxiv:1301.3409 v2 · 2013-01-15 · 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{D3TSOCMKTINDMGC4CIAWCXMCOQ}

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	2026-05-18T03:22:18.565385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee727098a9a1a36185c1201615d8274147d7227b6b5630d46bbc8eb51c83e20

Aliases

arxiv: 1301.3409 · arxiv_version: 1301.3409v2 · doi: 10.48550/arxiv.1301.3409 · pith_short_12: D3TSOCMKTIND · pith_short_16: D3TSOCMKTINDMGC4 · pith_short_8: D3TSOCMK

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/D3TSOCMKTINDMGC4CIAWCXMCOQ \
  | 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: 1ee727098a9a1a36185c1201615d8274147d7227b6b5630d46bbc8eb51c83e20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9b1aa2216de071a72381bd2dbd0165c18b6ca792644828e6f837362730aec6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-15T16:47:55Z",
    "title_canon_sha256": "50830280803f2b02898cf8d57db66d3ab8f4f27014068806fd87fdc32b81d6bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3409",
    "kind": "arxiv",
    "version": 2
  }
}