Pith Number

pith:SIOSX55N

pith:2025:SIOSX55NO7YMSBKUY5EPLZ3SZ6

not attested not anchored not stored refs pending

On a problem of B. Hartley about a small centralizer in finite and locally finite groups

Evgeny Khukhro

arxiv:2505.20999 v2 · 2025-05-27 · 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{SIOSX55NO7YMSBKUY5EPLZ3SZ6}

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	2026-07-05T11:56:19.836626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

921d2bf7ad77f0c90554c748f5e772cfa57849598f276ea91d7ff54f2d8de635

Aliases

arxiv: 2505.20999 · arxiv_version: 2505.20999v2 · doi: 10.48550/arxiv.2505.20999 · pith_short_12: SIOSX55NO7YM · pith_short_16: SIOSX55NO7YMSBKU · pith_short_8: SIOSX55N

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/SIOSX55NO7YMSBKUY5EPLZ3SZ6 \
  | 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: 921d2bf7ad77f0c90554c748f5e772cfa57849598f276ea91d7ff54f2d8de635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca7a0d83aa83020b79f7e75cb9244ae9343e1ee34071087ff8e1ff1352db05d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-27T10:32:11Z",
    "title_canon_sha256": "2c34e1d69fa36e19d0aacdb076c3b3c1b2dc50e550806193bdb49fdecb7edaaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20999",
    "kind": "arxiv",
    "version": 2
  }
}