Pith Number

pith:XUPCOTQ7

pith:2016:XUPCOTQ7EJT266DC35WITDD7VS

not attested not anchored not stored refs pending

Lie algebras with nilpotent length greater than that of each of their subalgebras

David A. Towers

arxiv:1608.06793 v1 · 2016-08-24 · 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{XUPCOTQ7EJT266DC35WITDD7VS}

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	2026-05-18T01:07:57.498451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1e274e1f2267af7862df6c898c7fac82db2aae82ffeccf8fedebe99b6e8c3e

Aliases

arxiv: 1608.06793 · arxiv_version: 1608.06793v1 · doi: 10.48550/arxiv.1608.06793 · pith_short_12: XUPCOTQ7EJT2 · pith_short_16: XUPCOTQ7EJT266DC · pith_short_8: XUPCOTQ7

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/XUPCOTQ7EJT266DC35WITDD7VS \
  | 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: bd1e274e1f2267af7862df6c898c7fac82db2aae82ffeccf8fedebe99b6e8c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3ecd5b534e905c074d1a45460946f46c4fd3f65dd6e2210bc9efd31363c6a5c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-08-24T12:31:07Z",
    "title_canon_sha256": "d04d5de42bb81558b58d2d9816e51afe2551d3ee73bb9d906d2f754bb3901e84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06793",
    "kind": "arxiv",
    "version": 1
  }
}