Pith Number

pith:67GKV5SU

pith:2026:67GKV5SUHDLZAW7TKKDYQ2Z6MA

not attested not anchored not stored refs pending

Scalar relative differential invariants

Boris Kruglikov, Eivind Schneider

The algebra of relative differential invariants becomes finitely generated after localization at a finite set of them.

arxiv:2604.15473 v2 · 2026-04-16 · math.DG · math.RA

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\usepackage{pith}
\pithnumber{67GKV5SUHDLZAW7TKKDYQ2Z6MA}

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Record completeness

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4 Citations open

5 Replications open

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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

We address the fundamental problem of finite generation of their (differential) algebra and demonstrate both positive and negative results in this respect under various setups. ... after localization on a finite set of relative invariants the differential algebra becomes finitely generated. We also investigate the weights of rational relative differential invariants and bound their order.

C2weakest assumption

The various setups for geometric structures admit well-defined relative differential invariants to which the algebraic finite-generation techniques can be extended.

C3one line summary

Relative differential invariant algebras are not finitely generated in general but become so after localization, with order bounds for rational invariants.

Receipt and verification

First computed	2026-05-20T00:02:11.510443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ccaaf65438d7905bf35287886b3e60123ec37282dad435cfbf4906f51cf833

Aliases

arxiv: 2604.15473 · arxiv_version: 2604.15473v2 · doi: 10.48550/arxiv.2604.15473 · pith_short_12: 67GKV5SUHDLZ · pith_short_16: 67GKV5SUHDLZAW7T · pith_short_8: 67GKV5SU

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/67GKV5SUHDLZAW7TKKDYQ2Z6MA \
  | 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: f7ccaaf65438d7905bf35287886b3e60123ec37282dad435cfbf4906f51cf833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dac50fadbf342d08d324b0be04689a2cf4e7defbb28736c98f48b16e4252186",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-04-16T18:48:21Z",
    "title_canon_sha256": "df57b3052fe99e96ef01c70d35a61732727b9d632cf2e7dbe1deefb8e37670c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.15473",
    "kind": "arxiv",
    "version": 2
  }
}