Pith Number

pith:R5X7HO5G

pith:2014:R5X7HO5GKOJBGWT6UYZ3DCNWBQ

not attested not anchored not stored refs pending

Locally finite groups containing a $2$-element with Chernikov centralizer

E. I. Khukhro, N. Yu. Makarenko, P. Shumyatsky

arxiv:1410.1521 v1 · 2014-10-04 · 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{R5X7HO5GKOJBGWT6UYZ3DCNWBQ}

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	2026-05-18T02:41:01.593072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f6ff3bba65392135a7ea633b189b60c3157d96caba181d8f83c18fb24785593

Aliases

arxiv: 1410.1521 · arxiv_version: 1410.1521v1 · doi: 10.48550/arxiv.1410.1521 · pith_short_12: R5X7HO5GKOJB · pith_short_16: R5X7HO5GKOJBGWT6 · pith_short_8: R5X7HO5G

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/R5X7HO5GKOJBGWT6UYZ3DCNWBQ \
  | 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: 8f6ff3bba65392135a7ea633b189b60c3157d96caba181d8f83c18fb24785593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c1c9bcc27c7fc8fc0c6397f3d274442571336edab4d952cec4ef893acdf0441",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-04T20:56:49Z",
    "title_canon_sha256": "1dbf28750cc336e81c774fda24d4ee4e59ffe087b571b9d4b192804331818c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1521",
    "kind": "arxiv",
    "version": 1
  }
}