{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:3GEGSFO2JBR327C6GXGATHWCE7","short_pith_number":"pith:3GEGSFO2","schema_version":"1.0","canonical_sha256":"d9886915da4863bd7c5e35cc099ec227e9d944493aca911bd21f303fce4ab38a","source":{"kind":"arxiv","id":"1506.00382","version":2},"attestation_state":"computed","paper":{"title":"Classification of groups of central type of order $p^4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RA","authors_text":"Ofir Schnabel","submitted_at":"2015-06-01T08:30:20Z","abstract_excerpt":"The classification of abelian groups of central type is well known. However, the description of non-abelian groups of central type which are known to be solvable, is far from being understood. In this paper we classify all groups of central type of order $p^4$ where $p$ is a prime number."},"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":"1506.00382","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-06-01T08:30:20Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"da1e8b0ba830bced779eb4f5ec18c09f71723d947e98fb9c65a18af9d6d09ae5","abstract_canon_sha256":"1b5faf1c4f1e8b4a8ec53bd06ef206e45b46600732b793d3506c66570b7a6c27"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:07.965767Z","signature_b64":"pae7cHo+1ly/Vwr81Hx62niA3iewSKTPSv+npVHBHZtaX2Bo7eSrYgy/nZVwWcQfOVrZKlWlce+c/JRLfpnmBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9886915da4863bd7c5e35cc099ec227e9d944493aca911bd21f303fce4ab38a","last_reissued_at":"2026-05-18T01:22:07.965028Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:07.965028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of groups of central type of order $p^4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RA","authors_text":"Ofir Schnabel","submitted_at":"2015-06-01T08:30:20Z","abstract_excerpt":"The classification of abelian groups of central type is well known. However, the description of non-abelian groups of central type which are known to be solvable, is far from being understood. In this paper we classify all groups of central type of order $p^4$ where $p$ is a prime number."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00382","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":"1506.00382","created_at":"2026-05-18T01:22:07.965153+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.00382v2","created_at":"2026-05-18T01:22:07.965153+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00382","created_at":"2026-05-18T01:22:07.965153+00:00"},{"alias_kind":"pith_short_12","alias_value":"3GEGSFO2JBR3","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"3GEGSFO2JBR327C6","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"3GEGSFO2","created_at":"2026-05-18T12:29:02.477457+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/3GEGSFO2JBR327C6GXGATHWCE7","json":"https://pith.science/pith/3GEGSFO2JBR327C6GXGATHWCE7.json","graph_json":"https://pith.science/api/pith-number/3GEGSFO2JBR327C6GXGATHWCE7/graph.json","events_json":"https://pith.science/api/pith-number/3GEGSFO2JBR327C6GXGATHWCE7/events.json","paper":"https://pith.science/paper/3GEGSFO2"},"agent_actions":{"view_html":"https://pith.science/pith/3GEGSFO2JBR327C6GXGATHWCE7","download_json":"https://pith.science/pith/3GEGSFO2JBR327C6GXGATHWCE7.json","view_paper":"https://pith.science/paper/3GEGSFO2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.00382&json=true","fetch_graph":"https://pith.science/api/pith-number/3GEGSFO2JBR327C6GXGATHWCE7/graph.json","fetch_events":"https://pith.science/api/pith-number/3GEGSFO2JBR327C6GXGATHWCE7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3GEGSFO2JBR327C6GXGATHWCE7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3GEGSFO2JBR327C6GXGATHWCE7/action/storage_attestation","attest_author":"https://pith.science/pith/3GEGSFO2JBR327C6GXGATHWCE7/action/author_attestation","sign_citation":"https://pith.science/pith/3GEGSFO2JBR327C6GXGATHWCE7/action/citation_signature","submit_replication":"https://pith.science/pith/3GEGSFO2JBR327C6GXGATHWCE7/action/replication_record"}},"created_at":"2026-05-18T01:22:07.965153+00:00","updated_at":"2026-05-18T01:22:07.965153+00:00"}