{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VOHVQLI7TQ6CQC7BJASKJ7VS2B","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1e20db1c3c76d0017c36807d4a05b7933f7e98b1a4aa18f0868d5da663ad1081","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-05-10T17:58:19Z","title_canon_sha256":"90be923e6b13cebfed3f65e35e07bdf9cc77660c83ddb320031fd93ce3964e10"},"schema_version":"1.0","source":{"id":"1905.04287","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.04287","created_at":"2026-05-17T23:46:31Z"},{"alias_kind":"arxiv_version","alias_value":"1905.04287v1","created_at":"2026-05-17T23:46:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.04287","created_at":"2026-05-17T23:46:31Z"},{"alias_kind":"pith_short_12","alias_value":"VOHVQLI7TQ6C","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VOHVQLI7TQ6CQC7B","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VOHVQLI7","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:ea772dad2d7bf3144628b101585fe008a0f59669f8982c1a4faecc70afb6caae","target":"graph","created_at":"2026-05-17T23:46:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We develop a practical algorithm to decide whether a finitely generated subgroup of a solvable algebraic group $G$ is arithmetic. This incorporates a procedure to compute a generating set of an arithmetic subgroup of $G$. We also provide a simple new algorithm for integrality testing of finitely generated solvable-by-finite linear groups over the rational field. The algorithms have been implemented in {\\sc Magma}.","authors_text":"A.S. Detinko, D.L. Flannery, W.A. de Graaf","cross_cats":["cs.SC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-05-10T17:58:19Z","title":"Integrality and arithmeticity of solvable linear groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.04287","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a5e291ad9fd15a4942dcfd9718bbaa6ad780bc4ad0ef58a3767576ac71e795fc","target":"record","created_at":"2026-05-17T23:46:31Z","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":"1e20db1c3c76d0017c36807d4a05b7933f7e98b1a4aa18f0868d5da663ad1081","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-05-10T17:58:19Z","title_canon_sha256":"90be923e6b13cebfed3f65e35e07bdf9cc77660c83ddb320031fd93ce3964e10"},"schema_version":"1.0","source":{"id":"1905.04287","kind":"arxiv","version":1}},"canonical_sha256":"ab8f582d1f9c3c280be14824a4feb2d047cc1e8cd61756d9bddb83dc45c79c71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab8f582d1f9c3c280be14824a4feb2d047cc1e8cd61756d9bddb83dc45c79c71","first_computed_at":"2026-05-17T23:46:31.503877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:31.503877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZvicgwEx9tWTwqaIboCauxRuwneVtTER/3YFdqQG0voYovKevI/hsPl2QHzdMqqMBN4zhVcEtiEBeBsOcWmDDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:31.504496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.04287","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5e291ad9fd15a4942dcfd9718bbaa6ad780bc4ad0ef58a3767576ac71e795fc","sha256:ea772dad2d7bf3144628b101585fe008a0f59669f8982c1a4faecc70afb6caae"],"state_sha256":"6d0a4430a124e7a16cb8d6cb307580657c3d66b502d159042ea5e5f3d346c6bd"}