Pith Number

pith:JSA34VLH

pith:2013:JSA34VLHYQZQXBVLJTRLIKBQIL

not attested not anchored not stored refs pending

A restriction on centralizers in finite groups

Antonio Tortora, Gustavo A. Fernandez-Alcober, Leire Legarreta, Maria Tota

arxiv:1309.2231 v1 · 2013-09-09 · 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{JSA34VLHYQZQXBVLJTRLIKBQIL}

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	2026-05-18T02:19:50.859269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c81be5567c4330b86ab4ce2b4283042d97181058e97f50d0726dfb953d95230

Aliases

arxiv: 1309.2231 · arxiv_version: 1309.2231v1 · doi: 10.48550/arxiv.1309.2231 · pith_short_12: JSA34VLHYQZQ · pith_short_16: JSA34VLHYQZQXBVL · pith_short_8: JSA34VLH

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/JSA34VLHYQZQXBVLJTRLIKBQIL \
  | 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: 4c81be5567c4330b86ab4ce2b4283042d97181058e97f50d0726dfb953d95230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a85f5cf7b0f62a63cdda24f005deb1e41679aff52e1bdf65aa62eeb755de96cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-09T17:21:05Z",
    "title_canon_sha256": "f6b3eef152749ece974087c6c0e5bde232eb80b96089c41f43b6b6c3ed4bb3bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2231",
    "kind": "arxiv",
    "version": 1
  }
}