Pith Number

pith:H2XCSFBQ

pith:2026:H2XCSFBQXYUTXYLL4U5EN572RC

not attested not anchored not stored refs pending

Locally finite solvable Lie algebras of derivations

Mikhail Zaidenberg

Solvable Lie subalgebras generated by locally finite ones are locally finite for the affine plane under an extra assumption.

arxiv:2604.02864 v4 · 2026-04-03 · math.AG

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\usepackage{pith}
\pithnumber{H2XCSFBQXYUTXYLL4U5EN572RC}

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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.

Claims

C1strongest claim

Under some additional assumption, we answer this question in the affirmative in the particular case where X is the affine plane.

C2weakest assumption

The additional assumption (unspecified in the abstract) that is required to obtain the affirmative answer for the affine plane.

C3one line summary

Criteria are given for local finiteness of solvable Lie algebras of derivations on affine varieties, with an affirmative answer for the affine plane under an additional assumption.

Cited by

1 paper in Pith

Locally finite sets of derivations

Receipt and verification

First computed	2026-05-26T02:04:09.866514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eae291430be293be16be53a46f7fa88ab955d6e903f4edc6edbd471ac32675d

Aliases

arxiv: 2604.02864 · arxiv_version: 2604.02864v4 · doi: 10.48550/arxiv.2604.02864 · pith_short_12: H2XCSFBQXYUT · pith_short_16: H2XCSFBQXYUTXYLL · pith_short_8: H2XCSFBQ

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/H2XCSFBQXYUTXYLL4U5EN572RC \
  | 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: 3eae291430be293be16be53a46f7fa88ab955d6e903f4edc6edbd471ac32675d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e60a06a8f7de9e693b3950b8ac16a0a4a4d49c6e802dcac1efe253f174948e1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-04-03T08:30:14Z",
    "title_canon_sha256": "c3180c2038f87922663fb1617df38f7364544899cd7955450ea209fc2b50c3f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.02864",
    "kind": "arxiv",
    "version": 4
  }
}