Pith Number

pith:4UDCGAMG

pith:2015:4UDCGAMGDPCXS52UFQPATVVATX

not attested not anchored not stored refs pending

A finiteness condition on centralizers in locally finite groups

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

arxiv:1510.03733 v1 · 2015-10-13 · 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{4UDCGAMGDPCXS52UFQPATVVATX}

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	2026-05-18T01:30:16.316861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5062301861bc57977542c1e09d6a09de8d7f6b285eb9004c2496a340fcd1c80

Aliases

arxiv: 1510.03733 · arxiv_version: 1510.03733v1 · doi: 10.48550/arxiv.1510.03733 · pith_short_12: 4UDCGAMGDPCX · pith_short_16: 4UDCGAMGDPCXS52U · pith_short_8: 4UDCGAMG

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/4UDCGAMGDPCXS52UFQPATVVATX \
  | 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: e5062301861bc57977542c1e09d6a09de8d7f6b285eb9004c2496a340fcd1c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55bb901a9e4cc644f7f4e959f2c77b394a96e6a0d43938960f0c56484cf0283d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-13T15:15:43Z",
    "title_canon_sha256": "e1fa9ab3542ee8624576440d1ae0098c10c9a80c4882da9a6bf90e95047424bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03733",
    "kind": "arxiv",
    "version": 1
  }
}