Pith Number

pith:S4Z7XANG

pith:2012:S4Z7XANGWW5G2FOSXRZR23TEWF

not attested not anchored not stored refs pending

Lie algebras of triangular polynomial derivations and an isomorphism criterion for their Lie factor algebras

V. V. Bavula

arxiv:1204.4908 v2 · 2012-04-22 · math.RA · 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{S4Z7XANGWW5G2FOSXRZR23TEWF}

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	2026-05-18T01:57:47.645968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9733fb81a6b5ba6d15d2bc731d6e64b178ecdcff6b15e759fcb3f3f1aafbdc7e

Aliases

arxiv: 1204.4908 · arxiv_version: 1204.4908v2 · doi: 10.48550/arxiv.1204.4908 · pith_short_12: S4Z7XANGWW5G · pith_short_16: S4Z7XANGWW5G2FOS · pith_short_8: S4Z7XANG

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/S4Z7XANGWW5G2FOSXRZR23TEWF \
  | 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: 9733fb81a6b5ba6d15d2bc731d6e64b178ecdcff6b15e759fcb3f3f1aafbdc7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0ea9516542cadbadbe6f3705588e369e6a7189f05edbc5a30f05e13d73329d9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-04-22T16:17:05Z",
    "title_canon_sha256": "b700c18658139dd3b353f39dc1f8d4ef15cf2e3181d994c38415e448b27abeee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4908",
    "kind": "arxiv",
    "version": 2
  }
}