{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5GEIB3ZME6UTQ6FZLZBAQQUZ2N","short_pith_number":"pith:5GEIB3ZM","schema_version":"1.0","canonical_sha256":"e98880ef2c27a93878b95e42084299d35aa731f432bc23d0273209fd0faae761","source":{"kind":"arxiv","id":"1707.02057","version":1},"attestation_state":"computed","paper":{"title":"Simple groups of Morley rank 5 are bad","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.LO","authors_text":"Adrien Deloro, Joshua Wiscons","submitted_at":"2017-07-07T07:06:17Z","abstract_excerpt":"By exploiting the geometry of involutions in $N_\\circ^\\circ$-groups of finite Morley rank, we show that any simple group of Morley rank $5$ is a bad group all of whose proper definable connected subgroups are nilpotent of rank at most $2$. The main result is then used to catalog the nonsoluble connected groups of Morley rank $5$."},"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":"1707.02057","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-07-07T07:06:17Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"80963770cf7ac704cec7148704adc1ca52044cc67d621e500910bd63459a402b","abstract_canon_sha256":"bf1d8a34cf3c65c6f80cd767d455146de3672ea75dab5ae83363a0ab46d950d9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:43.109412Z","signature_b64":"aRrYz2vG+dewe4EF7/oJayFOov2uf8H32sdp2WLoOvtg2/fQOjY3Qq3xYpkgZQJoCw764b5NpMHaXMki/PaPCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e98880ef2c27a93878b95e42084299d35aa731f432bc23d0273209fd0faae761","last_reissued_at":"2026-05-18T00:40:43.108702Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:43.108702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple groups of Morley rank 5 are bad","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.LO","authors_text":"Adrien Deloro, Joshua Wiscons","submitted_at":"2017-07-07T07:06:17Z","abstract_excerpt":"By exploiting the geometry of involutions in $N_\\circ^\\circ$-groups of finite Morley rank, we show that any simple group of Morley rank $5$ is a bad group all of whose proper definable connected subgroups are nilpotent of rank at most $2$. The main result is then used to catalog the nonsoluble connected groups of Morley rank $5$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.02057","kind":"arxiv","version":1},"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":"1707.02057","created_at":"2026-05-18T00:40:43.108813+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.02057v1","created_at":"2026-05-18T00:40:43.108813+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.02057","created_at":"2026-05-18T00:40:43.108813+00:00"},{"alias_kind":"pith_short_12","alias_value":"5GEIB3ZME6UT","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"5GEIB3ZME6UTQ6FZ","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"5GEIB3ZM","created_at":"2026-05-18T12:31:00.734936+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/5GEIB3ZME6UTQ6FZLZBAQQUZ2N","json":"https://pith.science/pith/5GEIB3ZME6UTQ6FZLZBAQQUZ2N.json","graph_json":"https://pith.science/api/pith-number/5GEIB3ZME6UTQ6FZLZBAQQUZ2N/graph.json","events_json":"https://pith.science/api/pith-number/5GEIB3ZME6UTQ6FZLZBAQQUZ2N/events.json","paper":"https://pith.science/paper/5GEIB3ZM"},"agent_actions":{"view_html":"https://pith.science/pith/5GEIB3ZME6UTQ6FZLZBAQQUZ2N","download_json":"https://pith.science/pith/5GEIB3ZME6UTQ6FZLZBAQQUZ2N.json","view_paper":"https://pith.science/paper/5GEIB3ZM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.02057&json=true","fetch_graph":"https://pith.science/api/pith-number/5GEIB3ZME6UTQ6FZLZBAQQUZ2N/graph.json","fetch_events":"https://pith.science/api/pith-number/5GEIB3ZME6UTQ6FZLZBAQQUZ2N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5GEIB3ZME6UTQ6FZLZBAQQUZ2N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5GEIB3ZME6UTQ6FZLZBAQQUZ2N/action/storage_attestation","attest_author":"https://pith.science/pith/5GEIB3ZME6UTQ6FZLZBAQQUZ2N/action/author_attestation","sign_citation":"https://pith.science/pith/5GEIB3ZME6UTQ6FZLZBAQQUZ2N/action/citation_signature","submit_replication":"https://pith.science/pith/5GEIB3ZME6UTQ6FZLZBAQQUZ2N/action/replication_record"}},"created_at":"2026-05-18T00:40:43.108813+00:00","updated_at":"2026-05-18T00:40:43.108813+00:00"}