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We also classify simple cuspidal quasi-Poisson modules over the Lie-Rinehart pair (dot A, dot fk) and show that each such module is a tensor module dot A ot Omega for an admissible gl(m+1,n)-module Omega via a prescribed action.","weakest_assumption":"The specific algebraic setup with dot A = C[t1^{pm1},...,tm^{pm1}] ot Lambda_n and the restriction to cuspidal simple modules; the correspondence and classification are stated only for this choice of Lie-Rinehart pair and module class, so the result depends on these structural choices holding exactly as defined."}},"verdict_id":"10efc6e9-8ed4-4eda-963a-6bd5bdb65a18"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8edc28082873a253139da935c29416d99cd81348d996ffa1bc70eceb45cf02c3","target":"record","created_at":"2026-05-20T00:03:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"69ef24d8e56bd6209a826f483e0e502cec6869fd0fc2be5b9734b9bbfb65a094","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RT","submitted_at":"2026-05-16T12:02:34Z","title_canon_sha256":"9382b78e7ff959cf7c664540e2147855f83aeef61e8ac02310e5ac90bc313ff1"},"schema_version":"1.0","source":{"id":"2605.16950","kind":"arxiv","version":1}},"canonical_sha256":"004e138ac1d41aa239a61765a5d94398c06400a855246fef7a1f1f735d37e0de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"004e138ac1d41aa239a61765a5d94398c06400a855246fef7a1f1f735d37e0de","first_computed_at":"2026-05-20T00:03:32.484307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:32.484307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BQIjVqBvI5zH8euMGGMhSNJxYtZ/nj9TzgmeoJBDlzom4PqGRf3LXLOqQFv2Hn0Glty/HUDNtm57FUJP6OSwBA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:32.485118Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.16950","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8edc28082873a253139da935c29416d99cd81348d996ffa1bc70eceb45cf02c3","sha256:6f2a669dac3b75255a6d6bd4b11833d6e1bc5427db497610e271591b97c1813a"],"state_sha256":"acec9d2d3030c8c84e0f2da926351c772b3a5fc723335e89b2dacbbf32a2c0f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d7sobb6XDA2wVwlW60PKybNlElVG/rgP8M2vmwPyyMBouBWBAQgth550d/RpVXdUiJxRy7OC83+od1bq5dGcAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T12:37:35.423349Z","bundle_sha256":"cdd0093b66988a9dd08ff3b606745c11f48db5beaa336002df32faf56ae04825"}}