{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SXNBLQYKBLCYSB76SWQI2Y5GMZ","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":"0709000b26edec55b9076168b8a23cb5d8b2ab078e3f3466c0a2bd091d7f0d9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-08-28T10:58:26Z","title_canon_sha256":"7de95de740a9963f35ad38908c698088c76b47a02aad6c4948e3d877e4e51a91"},"schema_version":"1.0","source":{"id":"1208.5617","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.5617","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"arxiv_version","alias_value":"1208.5617v1","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5617","created_at":"2026-05-18T02:19:50Z"},{"alias_kind":"pith_short_12","alias_value":"SXNBLQYKBLCY","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"SXNBLQYKBLCYSB76","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"SXNBLQYK","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:cbbc4d44f1b4b9e3bc97d36bb56c8f83f4fdcf10e88c98e8bbb53f01a047e678","target":"graph","created_at":"2026-05-18T02:19:50Z","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":"In this paper, we deal with locally graded groups whose subgroups are either subnormal or soluble of bounded derived length, say d. In particular, we prove that every locally (soluble-by-finite) group with this property is either soluble or an extension of a soluble group of derived length at most d by a finite group, which fits between a minimal simple group and its automorphism group. We also classify all the finite non-abelian simple groups whose proper subgroups are metabelian.","authors_text":"Antonio Tortora, Kivanc Ersoy, Maria Tota","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-08-28T10:58:26Z","title":"On groups with all subgroups subnormal or soluble of bounded derived length"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5617","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":"sha256:3171a74a2b6e8a42d5c297ab78918984436dbc54a8362cf2b2607d04c2bab69d","target":"record","created_at":"2026-05-18T02:19:50Z","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":"0709000b26edec55b9076168b8a23cb5d8b2ab078e3f3466c0a2bd091d7f0d9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-08-28T10:58:26Z","title_canon_sha256":"7de95de740a9963f35ad38908c698088c76b47a02aad6c4948e3d877e4e51a91"},"schema_version":"1.0","source":{"id":"1208.5617","kind":"arxiv","version":1}},"canonical_sha256":"95da15c30a0ac58907fe95a08d63a6666827d907314d53cc03160dc7b67d93dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95da15c30a0ac58907fe95a08d63a6666827d907314d53cc03160dc7b67d93dd","first_computed_at":"2026-05-18T02:19:50.981087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:50.981087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AzL/JECLFG7oITJCdiwgvGwFhKBEpl4BpGZeZ4WkVLJvzdcpsDzd38JiMuKs/zaBavWjq2Iq5KuJblF6zHlCDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:50.981824Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.5617","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3171a74a2b6e8a42d5c297ab78918984436dbc54a8362cf2b2607d04c2bab69d","sha256:cbbc4d44f1b4b9e3bc97d36bb56c8f83f4fdcf10e88c98e8bbb53f01a047e678"],"state_sha256":"038b33533c8b584c691a11c4c978c3fc0b020bd77c4812be6b2ee9a92b3a28ad"}