Pith Number

pith:WXLY6RZA

pith:2024:WXLY6RZAAD3Y46WIXZOLLCXCW2

not attested not anchored not stored refs pending

Rank type conditions on commutators in finite groups

Cristina Acciarri, Evgeny Khukhro, Pavel Shumyatsky, Robert M. Guralnick

arxiv:2404.14599 v3 · 2024-04-22 · math.GR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXLY6RZAAD3Y46WIXZOLLCXCW2}

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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

Local--global generation property of commutators in finite $\pi$-soluble groups

Receipt and verification

First computed	2026-05-20T00:02:45.968950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d78f472000f78e7ac8be5cb58ae2b6a94d9c589591c05492eb9db636d1004c

Aliases

arxiv: 2404.14599 · arxiv_version: 2404.14599v3 · doi: 10.48550/arxiv.2404.14599 · pith_short_12: WXLY6RZAAD3Y · pith_short_16: WXLY6RZAAD3Y46WI · pith_short_8: WXLY6RZA

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/WXLY6RZAAD3Y46WIXZOLLCXCW2 \
  | 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: b5d78f472000f78e7ac8be5cb58ae2b6a94d9c589591c05492eb9db636d1004c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ec18d9fca5ecedf97ec5422db88f62af971630cec25cdf90cde87cf6c8cde25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-04-22T21:49:45Z",
    "title_canon_sha256": "ba020670f7f81039eb6cf6ec32d4fb2a3a0f3ac9049ab760478da8e1bbed7aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.14599",
    "kind": "arxiv",
    "version": 3
  }
}