Pith Number

pith:BUXDQ4ZQ

pith:2025:BUXDQ4ZQLPZ5RW5OHO7XQMDZAZ

not attested not anchored not stored refs pending

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

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

arxiv:2505.03017 v3 · 2025-05-05 · 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{BUXDQ4ZQLPZ5RW5OHO7XQMDZAZ}

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	2026-05-20T00:02:49.968991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d2e3873305bf3d8dbae3bbf783079066c898cf40bbf06ee1a62d95c49502961

Aliases

arxiv: 2505.03017 · arxiv_version: 2505.03017v3 · doi: 10.48550/arxiv.2505.03017 · pith_short_12: BUXDQ4ZQLPZ5 · pith_short_16: BUXDQ4ZQLPZ5RW5O · pith_short_8: BUXDQ4ZQ

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/BUXDQ4ZQLPZ5RW5OHO7XQMDZAZ \
  | 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: 0d2e3873305bf3d8dbae3bbf783079066c898cf40bbf06ee1a62d95c49502961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de1066f5552975abb0d02950aab7c9da4612d38ac9b36519d011f8a6624cae40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-05T20:37:51Z",
    "title_canon_sha256": "82a9b3ea0b9a5a44b69df56dd1d2373ccdbff1ac91864c85f6d3d8f5af59a075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.03017",
    "kind": "arxiv",
    "version": 3
  }
}