Pith Number

pith:YXTGHPFO

pith:2017:YXTGHPFOSNNV23FRWF7WPR7KPQ

not attested not anchored not stored refs pending

Commutators in finite $p$-groups with $2$-generator derived subgroup

Gustavo A. Fern\'andez-Alcober, Iker de las Heras

arxiv:1709.10422 v2 · 2017-09-29 · 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{YXTGHPFOSNNV23FRWF7WPR7KPQ}

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	2026-05-18T00:19:03.483728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e663bcae935b5d6cb1b17f67c7ea7c2f82655f46e96a3d5bedf7e3bd88713d

Aliases

arxiv: 1709.10422 · arxiv_version: 1709.10422v2 · doi: 10.48550/arxiv.1709.10422 · pith_short_12: YXTGHPFOSNNV · pith_short_16: YXTGHPFOSNNV23FR · pith_short_8: YXTGHPFO

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/YXTGHPFOSNNV23FRWF7WPR7KPQ \
  | 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: c5e663bcae935b5d6cb1b17f67c7ea7c2f82655f46e96a3d5bedf7e3bd88713d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e83a9df708dcfc0f5d13f9ebcef1c961c0f9428a7a4f6a98143dcfe287ebe04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-29T14:19:18Z",
    "title_canon_sha256": "71038e0f7f417b29838059df2f0951e0268a04d52904732fa8e7205e6177fac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10422",
    "kind": "arxiv",
    "version": 2
  }
}