Pith Number

pith:CEJZOPQJ

pith:2011:CEJZOPQJHE2EYOZN5DZWOZU5LS

not attested not anchored not stored refs pending

Lie algebras with given properties of subalgebras and elements

Pasha Zusmanovich

arxiv:1105.4284 v3 · 2011-05-21 · 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{CEJZOPQJHE2EYOZN5DZWOZU5LS}

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	2026-05-18T02:45:21.755683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1113973e0939344c3b2de8f367669d5cbe2bcfc7b7841b7c01790bd5d6732996

Aliases

arxiv: 1105.4284 · arxiv_version: 1105.4284v3 · doi: 10.48550/arxiv.1105.4284 · pith_short_12: CEJZOPQJHE2E · pith_short_16: CEJZOPQJHE2EYOZN · pith_short_8: CEJZOPQJ

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/CEJZOPQJHE2EYOZN5DZWOZU5LS \
  | 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: 1113973e0939344c3b2de8f367669d5cbe2bcfc7b7841b7c01790bd5d6732996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa88519bebb7a0f9d31cea367e62345b6b77e0272942091db96321eb05cddd77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-05-21T19:56:11Z",
    "title_canon_sha256": "c28c5d0ec91e64feb350fcd56fc3996714ee5b84d0660e3d54c7f19d5038c481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4284",
    "kind": "arxiv",
    "version": 3
  }
}