Pith Number

pith:76XGN3AI

pith:2014:76XGN3AIFDUGWDKJ5GBMQNN7NV

not attested not anchored not stored refs pending

$C^\ast$-simple groups without free subgroups

A.Yu. Olshanskii, D.V. Osin

arxiv:1401.7300 v3 · 2014-01-28 · math.GR · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76XGN3AIFDUGWDKJ5GBMQNN7NV}

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	2026-05-18T02:49:09.780157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffae66ec0828e86b0d49e982c835bf6d407fc85aa88e97f56e30bd1fb3ff372e

Aliases

arxiv: 1401.7300 · arxiv_version: 1401.7300v3 · doi: 10.48550/arxiv.1401.7300 · pith_short_12: 76XGN3AIFDUG · pith_short_16: 76XGN3AIFDUGWDKJ · pith_short_8: 76XGN3AI

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/76XGN3AIFDUGWDKJ5GBMQNN7NV \
  | 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: ffae66ec0828e86b0d49e982c835bf6d407fc85aa88e97f56e30bd1fb3ff372e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "633491cc2628655785afaf72bb72c0019d1a1352fb3207b38c5fb28879974b49",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-01-28T19:17:54Z",
    "title_canon_sha256": "69d5503fe864aa28e6e278d17ba5a068bb716ef9806e7e597cb84df5992dad73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7300",
    "kind": "arxiv",
    "version": 3
  }
}