{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4RTFL4YIJVRY4Z3INLHDOGFE5B","short_pith_number":"pith:4RTFL4YI","schema_version":"1.0","canonical_sha256":"e46655f3084d638e67686ace3718a4e84332dac4b9f9c4097c23a518ab3c0d30","source":{"kind":"arxiv","id":"1408.6075","version":3},"attestation_state":"computed","paper":{"title":"A Sylow theorem for the integral group ring of PSL(2,q)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RA","authors_text":"Leo Margolis","submitted_at":"2014-08-26T11:19:22Z","abstract_excerpt":"For G = PSL(2,p^f) denote by ZG the integral group ring, by V(ZG) the group of normalized units of ZG and let r be a prime different from p. Using the so called HeLP-method we prove, that units of r-power order in V(ZG) are rationally conjugate to elements of G. As a consequence we prove, that subgroups of prime power order in V(ZG) are rationally conjugate to subgroups of G, provided p = 2 or f =1."},"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":"1408.6075","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-08-26T11:19:22Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"fb57825232128a34f0aa54b8ce150e06eb938b777145f57bd1302bc014873f96","abstract_canon_sha256":"096c8844fb91e431b15e83c9829eb9669f1dd6abecb0d9641c5063c52bdaaea6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:50.779334Z","signature_b64":"BocgYmduSqrpMgx7HM99sYfjlB+AA44RDnBCada27ESPrKH/bAWtnG0BE++N7HYPyB9RBgXCynxk5d596HDrAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e46655f3084d638e67686ace3718a4e84332dac4b9f9c4097c23a518ab3c0d30","last_reissued_at":"2026-05-18T01:32:50.778596Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:50.778596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Sylow theorem for the integral group ring of PSL(2,q)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RA","authors_text":"Leo Margolis","submitted_at":"2014-08-26T11:19:22Z","abstract_excerpt":"For G = PSL(2,p^f) denote by ZG the integral group ring, by V(ZG) the group of normalized units of ZG and let r be a prime different from p. Using the so called HeLP-method we prove, that units of r-power order in V(ZG) are rationally conjugate to elements of G. As a consequence we prove, that subgroups of prime power order in V(ZG) are rationally conjugate to subgroups of G, provided p = 2 or f =1."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6075","kind":"arxiv","version":3},"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":"1408.6075","created_at":"2026-05-18T01:32:50.778723+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.6075v3","created_at":"2026-05-18T01:32:50.778723+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6075","created_at":"2026-05-18T01:32:50.778723+00:00"},{"alias_kind":"pith_short_12","alias_value":"4RTFL4YIJVRY","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4RTFL4YIJVRY4Z3I","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4RTFL4YI","created_at":"2026-05-18T12:28:14.216126+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/4RTFL4YIJVRY4Z3INLHDOGFE5B","json":"https://pith.science/pith/4RTFL4YIJVRY4Z3INLHDOGFE5B.json","graph_json":"https://pith.science/api/pith-number/4RTFL4YIJVRY4Z3INLHDOGFE5B/graph.json","events_json":"https://pith.science/api/pith-number/4RTFL4YIJVRY4Z3INLHDOGFE5B/events.json","paper":"https://pith.science/paper/4RTFL4YI"},"agent_actions":{"view_html":"https://pith.science/pith/4RTFL4YIJVRY4Z3INLHDOGFE5B","download_json":"https://pith.science/pith/4RTFL4YIJVRY4Z3INLHDOGFE5B.json","view_paper":"https://pith.science/paper/4RTFL4YI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.6075&json=true","fetch_graph":"https://pith.science/api/pith-number/4RTFL4YIJVRY4Z3INLHDOGFE5B/graph.json","fetch_events":"https://pith.science/api/pith-number/4RTFL4YIJVRY4Z3INLHDOGFE5B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4RTFL4YIJVRY4Z3INLHDOGFE5B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4RTFL4YIJVRY4Z3INLHDOGFE5B/action/storage_attestation","attest_author":"https://pith.science/pith/4RTFL4YIJVRY4Z3INLHDOGFE5B/action/author_attestation","sign_citation":"https://pith.science/pith/4RTFL4YIJVRY4Z3INLHDOGFE5B/action/citation_signature","submit_replication":"https://pith.science/pith/4RTFL4YIJVRY4Z3INLHDOGFE5B/action/replication_record"}},"created_at":"2026-05-18T01:32:50.778723+00:00","updated_at":"2026-05-18T01:32:50.778723+00:00"}