Pith Number

pith:62KOL4NN

pith:2026:62KOL4NNQFIXEXWXPQTKVCC7ZJ

not attested not anchored not stored refs pending

Finite groups with high commuting probability for Sylow subgroups

D\'ebora Senise, Eloisa Detomi, Pavel Shumyatsky

arxiv:2605.22955 v1 · 2026-05-21 · 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{62KOL4NNQFIXEXWXPQTKVCC7ZJ}

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	2026-05-25T02:01:32.026017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f694e5f1ad8151725ed77c26aa885fca78d06523ae5cc5cf0b5120331fe61304

Aliases

arxiv: 2605.22955 · arxiv_version: 2605.22955v1 · doi: 10.48550/arxiv.2605.22955 · pith_short_12: 62KOL4NNQFIX · pith_short_16: 62KOL4NNQFIXEXWX · pith_short_8: 62KOL4NN

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/62KOL4NNQFIXEXWXPQTKVCC7ZJ \
  | 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: f694e5f1ad8151725ed77c26aa885fca78d06523ae5cc5cf0b5120331fe61304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9caaf9709fe5002c14a03393b04425a761b8006b36f3f13082e257e73274504b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-21T18:38:01Z",
    "title_canon_sha256": "7ad61c1f4daaadce8b9469aa3a3bf89446ff4b35d04cca855424df60129868ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22955",
    "kind": "arxiv",
    "version": 1
  }
}