Pith Number

pith:YAMW56PZ

pith:2013:YAMW56PZW4N6JVSWXA4I4P5XCB

not attested not anchored not stored refs pending

Finite p-groups with a Frobenius group of automorphisms whose kernel is a cyclic p-group

E. I. Khukhro, N. Yu. Makarenko

arxiv:1302.3499 v3 · 2013-02-14 · 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{YAMW56PZW4N6JVSWXA4I4P5XCB}

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	2026-05-18T02:42:29.120185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0196ef9f9b71be4d656b8388e3fb71051080900f3b331e3451b683e87dd3a32

Aliases

arxiv: 1302.3499 · arxiv_version: 1302.3499v3 · doi: 10.48550/arxiv.1302.3499 · pith_short_12: YAMW56PZW4N6 · pith_short_16: YAMW56PZW4N6JVSW · pith_short_8: YAMW56PZ

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/YAMW56PZW4N6JVSWXA4I4P5XCB \
  | 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: c0196ef9f9b71be4d656b8388e3fb71051080900f3b331e3451b683e87dd3a32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a948c1310d3a7156eae1ccea567da44ed9fc79a74e920679e6a60b7da3649878",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-14T18:20:41Z",
    "title_canon_sha256": "8192cfa1beb8f60ab849acbe3be847de50bf410b77fc00d3b7573c68c168f4b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3499",
    "kind": "arxiv",
    "version": 3
  }
}