Pith Number

pith:JTHMKON6

pith:2011:JTHMKON6RWX7PPW4OFHEM2MYW7

not attested not anchored not stored refs pending

On abelian subalgebras and ideals of maximal dimension in supersolvable lie algebras

David A. Towers, Manuel Ceballos

arxiv:1110.2389 v3 · 2011-10-11 · math.RA · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTHMKON6RWX7PPW4OFHEM2MYW7}

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	2026-05-18T03:21:45.779517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ccec539be8daff7bedc714e466998b7f1749282413a1a443102066d02141056

Aliases

arxiv: 1110.2389 · arxiv_version: 1110.2389v3 · doi: 10.48550/arxiv.1110.2389 · pith_short_12: JTHMKON6RWX7 · pith_short_16: JTHMKON6RWX7PPW4 · pith_short_8: JTHMKON6

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/JTHMKON6RWX7PPW4OFHEM2MYW7 \
  | 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: 4ccec539be8daff7bedc714e466998b7f1749282413a1a443102066d02141056

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c043044f02605d12099200ebcfc34a78f70dd9a0735e4840ddbdaaf10002b128",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-10-11T14:31:03Z",
    "title_canon_sha256": "f3b3d514e55dbf5ce3f8197fb9b55c8dee7452f0aacba38af3638bc027ecd2db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2389",
    "kind": "arxiv",
    "version": 3
  }
}