Pith Number

pith:J737YEGZ

pith:2011:J737YEGZC6QHQCZNSV5GRVXIHC

not attested not anchored not stored refs pending

Complements of Intervals and Prefrattini Subalgebras of Solvable Lie Algebras

David A. Towers

arxiv:1104.3774 v1 · 2011-04-19 · 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{J737YEGZC6QHQCZNSV5GRVXIHC}

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	2026-05-18T04:23:55.712102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff7fc10d917a0780b2d957a68d6e8388140f708bd5984f4d479ed883a467e5f

Aliases

arxiv: 1104.3774 · arxiv_version: 1104.3774v1 · doi: 10.48550/arxiv.1104.3774 · pith_short_12: J737YEGZC6QH · pith_short_16: J737YEGZC6QHQCZN · pith_short_8: J737YEGZ

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/J737YEGZC6QHQCZNSV5GRVXIHC \
  | 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: 4ff7fc10d917a0780b2d957a68d6e8388140f708bd5984f4d479ed883a467e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b81f750b63a43dd6ef9c419fdc941f1e5078d340c488517314ba1e1d36ca6dcc",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-04-19T15:21:17Z",
    "title_canon_sha256": "10e874257fb68e02b0e894cb4990597cb325808a1e4189d10fa640507841e450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3774",
    "kind": "arxiv",
    "version": 1
  }
}