{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:UJF7ETMWIYYYFLFQGZF4VWSM65","short_pith_number":"pith:UJF7ETMW","schema_version":"1.0","canonical_sha256":"a24bf24d96463182acb0364bcada4cf744a510f83fea29f93de2670413e52d0d","source":{"kind":"arxiv","id":"1310.5496","version":2},"attestation_state":"computed","paper":{"title":"Finite $p$-groups with a minimal non-abelian subgroup of index $p$ (III)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Haipeng Qu, Lijian An, Mingyao Xu","submitted_at":"2013-10-21T10:40:01Z","abstract_excerpt":"In this paper, we finished the classification of three-generator finite $p$-groups $G$ such that $\\Phi(G)\\le Z(G)$. This paper is a part of classification of finite $p$-groups with a minimal non-abelian subgroup of index $p$, and partly solved a problem proposed by Y. Berkovich."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1310.5496","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-10-21T10:40:01Z","cross_cats_sorted":[],"title_canon_sha256":"97366439b07e8250dc58be22562e9587964b85ebe22344bab38bcfcaf62f7bf3","abstract_canon_sha256":"f7c88dd42820665484103e1fc2aff73cc0e12ee8f33f9b719ab54cb3d2b07447"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:46.574174Z","signature_b64":"F5KquRyzETM9N4sMfmIZcz2KlkjKYEPjFCwlDRIliAxoLTmYrT14+4hjgyzbn0o3npjUB+uLpsPOOkbBUuauBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a24bf24d96463182acb0364bcada4cf744a510f83fea29f93de2670413e52d0d","last_reissued_at":"2026-05-18T03:08:46.573567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:46.573567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite $p$-groups with a minimal non-abelian subgroup of index $p$ (III)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Haipeng Qu, Lijian An, Mingyao Xu","submitted_at":"2013-10-21T10:40:01Z","abstract_excerpt":"In this paper, we finished the classification of three-generator finite $p$-groups $G$ such that $\\Phi(G)\\le Z(G)$. This paper is a part of classification of finite $p$-groups with a minimal non-abelian subgroup of index $p$, and partly solved a problem proposed by Y. Berkovich."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5496","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1310.5496","created_at":"2026-05-18T03:08:46.573668+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.5496v2","created_at":"2026-05-18T03:08:46.573668+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5496","created_at":"2026-05-18T03:08:46.573668+00:00"},{"alias_kind":"pith_short_12","alias_value":"UJF7ETMWIYYY","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"UJF7ETMWIYYYFLFQ","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"UJF7ETMW","created_at":"2026-05-18T12:28:02.375192+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UJF7ETMWIYYYFLFQGZF4VWSM65","json":"https://pith.science/pith/UJF7ETMWIYYYFLFQGZF4VWSM65.json","graph_json":"https://pith.science/api/pith-number/UJF7ETMWIYYYFLFQGZF4VWSM65/graph.json","events_json":"https://pith.science/api/pith-number/UJF7ETMWIYYYFLFQGZF4VWSM65/events.json","paper":"https://pith.science/paper/UJF7ETMW"},"agent_actions":{"view_html":"https://pith.science/pith/UJF7ETMWIYYYFLFQGZF4VWSM65","download_json":"https://pith.science/pith/UJF7ETMWIYYYFLFQGZF4VWSM65.json","view_paper":"https://pith.science/paper/UJF7ETMW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.5496&json=true","fetch_graph":"https://pith.science/api/pith-number/UJF7ETMWIYYYFLFQGZF4VWSM65/graph.json","fetch_events":"https://pith.science/api/pith-number/UJF7ETMWIYYYFLFQGZF4VWSM65/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UJF7ETMWIYYYFLFQGZF4VWSM65/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UJF7ETMWIYYYFLFQGZF4VWSM65/action/storage_attestation","attest_author":"https://pith.science/pith/UJF7ETMWIYYYFLFQGZF4VWSM65/action/author_attestation","sign_citation":"https://pith.science/pith/UJF7ETMWIYYYFLFQGZF4VWSM65/action/citation_signature","submit_replication":"https://pith.science/pith/UJF7ETMWIYYYFLFQGZF4VWSM65/action/replication_record"}},"created_at":"2026-05-18T03:08:46.573668+00:00","updated_at":"2026-05-18T03:08:46.573668+00:00"}