Pith Number

pith:UBGBJ4MD

pith:2011:UBGBJ4MDTZKLXQQZAGE6GWCMAU

not attested not anchored not stored refs pending

Leibniz algebras with associated Lie algebras sl_2\dot{+} R (dim R=2)

B. A. Omirov, L. M. Camacho, S. Gomez-Vidal

arxiv:1111.4631 v1 · 2011-11-20 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBGBJ4MDTZKLXQQZAGE6GWCMAU}

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	2026-05-18T04:08:02.947282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a04c14f1839e54bbc2190189e3584c050c400caaebd21a2bf7395a02c28d8f48

Aliases

arxiv: 1111.4631 · arxiv_version: 1111.4631v1 · doi: 10.48550/arxiv.1111.4631 · pith_short_12: UBGBJ4MDTZKL · pith_short_16: UBGBJ4MDTZKLXQQZ · pith_short_8: UBGBJ4MD

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/UBGBJ4MDTZKLXQQZAGE6GWCMAU \
  | 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: a04c14f1839e54bbc2190189e3584c050c400caaebd21a2bf7395a02c28d8f48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e9010468edb3a5d8b07f1c87b71ce7d96a6d56a1e4532c4cd204bc5cbeb806",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-11-20T13:27:33Z",
    "title_canon_sha256": "c8017ac084e49b21a0464484fe1b24e56d017e25844e630fb13dd6df1bb12d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4631",
    "kind": "arxiv",
    "version": 1
  }
}