Pith Number

pith:SXNBLQYK

pith:2012:SXNBLQYKBLCYSB76SWQI2Y5GMZ

not attested not anchored not stored refs pending

On groups with all subgroups subnormal or soluble of bounded derived length

Antonio Tortora, Kivanc Ersoy, Maria Tota

arxiv:1208.5617 v1 · 2012-08-28 · 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{SXNBLQYKBLCYSB76SWQI2Y5GMZ}

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	2026-05-18T02:19:50.981087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95da15c30a0ac58907fe95a08d63a6666827d907314d53cc03160dc7b67d93dd

Aliases

arxiv: 1208.5617 · arxiv_version: 1208.5617v1 · doi: 10.48550/arxiv.1208.5617 · pith_short_12: SXNBLQYKBLCY · pith_short_16: SXNBLQYKBLCYSB76 · pith_short_8: SXNBLQYK

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/SXNBLQYKBLCYSB76SWQI2Y5GMZ \
  | 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: 95da15c30a0ac58907fe95a08d63a6666827d907314d53cc03160dc7b67d93dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0709000b26edec55b9076168b8a23cb5d8b2ab078e3f3466c0a2bd091d7f0d9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-08-28T10:58:26Z",
    "title_canon_sha256": "7de95de740a9963f35ad38908c698088c76b47a02aad6c4948e3d877e4e51a91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5617",
    "kind": "arxiv",
    "version": 1
  }
}