Pith Number

pith:QJPYZ2CB

pith:2010:QJPYZ2CBFV4O6U7DPTNOCXLH6H

not attested not anchored not stored refs pending

On maximal subalgebras of Lie algebras containing Engel subalgebras

David A. Towers

arxiv:1004.5005 v1 · 2010-04-28 · math.RA · 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{QJPYZ2CBFV4O6U7DPTNOCXLH6H}

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	2026-05-18T02:24:15.486456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

825f8ce8412d78ef53e37cdae15d67f1ca7aa991d2945751833b006f92c0df51

Aliases

arxiv: 1004.5005 · arxiv_version: 1004.5005v1 · doi: 10.48550/arxiv.1004.5005 · pith_short_12: QJPYZ2CBFV4O · pith_short_16: QJPYZ2CBFV4O6U7D · pith_short_8: QJPYZ2CB

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/QJPYZ2CBFV4O6U7DPTNOCXLH6H \
  | 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: 825f8ce8412d78ef53e37cdae15d67f1ca7aa991d2945751833b006f92c0df51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7706226ee144282efd990c8272f1f3f1618ca11cc93e793382534cf2c215283e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-04-28T12:04:21Z",
    "title_canon_sha256": "37aadbdd218e89de9b890a09f18bebeaa257e3ba3aaa6f013426eb5c74eaf22d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5005",
    "kind": "arxiv",
    "version": 1
  }
}