{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:P6ZJKXDXSJZPAIMCDMPFVGD7Z3","short_pith_number":"pith:P6ZJKXDX","schema_version":"1.0","canonical_sha256":"7fb2955c779272f021821b1e5a987fcec1bfe2c43ad5c9b0ae5b1b852a6d6cbd","source":{"kind":"arxiv","id":"1903.11667","version":1},"attestation_state":"computed","paper":{"title":"Descent equalities and the inductive McKay condition for types B and E","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Britta Sp\\\"ath, Marc Cabanes","submitted_at":"2019-03-27T19:42:17Z","abstract_excerpt":"We establish the inductive McKay condition introduced by Isaacs-Malle-Navarro \\cite{IMN} for finite simple groups of Lie types $\\tB_l$ ($l\\geq 2$), $\\tE_6$, $^2\\tE_6$ and $\\tE_7$, thus leaving open only the types $\\tD$ and $^2\\tD$. We bring to the methods previously used by the authors for type $\\tC$ \\cite{CS17C} some descent arguments using Shintani's norm map. This provides for types different from $ \\tA, \\tD, {}^2\\tD$ a uniform proof of the so-called global requirement of the criterion given by the second author in \\cite[2.12]{S12}. The local requirements from that criterion are verified th"},"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":"1903.11667","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-27T19:42:17Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"5581752e1af2f9188dca965e438399df908cee20bd9b8b637d2dd1c923d6de7c","abstract_canon_sha256":"26637ce790b8d3fdd79122b64f03b9b7be2a3c0b345aa5edf31cb33566c2ed17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:02.074509Z","signature_b64":"GUQxq8Wm/XMCYHIuQ9eMuczklP4UJczGDAIVrYXEsJ7bto7WcLiS2qzzJf29BdslhhjgZAmmLFTLGSNFhj8fAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fb2955c779272f021821b1e5a987fcec1bfe2c43ad5c9b0ae5b1b852a6d6cbd","last_reissued_at":"2026-05-17T23:50:02.074074Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:02.074074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Descent equalities and the inductive McKay condition for types B and E","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Britta Sp\\\"ath, Marc Cabanes","submitted_at":"2019-03-27T19:42:17Z","abstract_excerpt":"We establish the inductive McKay condition introduced by Isaacs-Malle-Navarro \\cite{IMN} for finite simple groups of Lie types $\\tB_l$ ($l\\geq 2$), $\\tE_6$, $^2\\tE_6$ and $\\tE_7$, thus leaving open only the types $\\tD$ and $^2\\tD$. We bring to the methods previously used by the authors for type $\\tC$ \\cite{CS17C} some descent arguments using Shintani's norm map. This provides for types different from $ \\tA, \\tD, {}^2\\tD$ a uniform proof of the so-called global requirement of the criterion given by the second author in \\cite[2.12]{S12}. The local requirements from that criterion are verified th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11667","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":"1903.11667","created_at":"2026-05-17T23:50:02.074137+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.11667v1","created_at":"2026-05-17T23:50:02.074137+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11667","created_at":"2026-05-17T23:50:02.074137+00:00"},{"alias_kind":"pith_short_12","alias_value":"P6ZJKXDXSJZP","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"P6ZJKXDXSJZPAIMC","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"P6ZJKXDX","created_at":"2026-05-18T12:33:24.271573+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/P6ZJKXDXSJZPAIMCDMPFVGD7Z3","json":"https://pith.science/pith/P6ZJKXDXSJZPAIMCDMPFVGD7Z3.json","graph_json":"https://pith.science/api/pith-number/P6ZJKXDXSJZPAIMCDMPFVGD7Z3/graph.json","events_json":"https://pith.science/api/pith-number/P6ZJKXDXSJZPAIMCDMPFVGD7Z3/events.json","paper":"https://pith.science/paper/P6ZJKXDX"},"agent_actions":{"view_html":"https://pith.science/pith/P6ZJKXDXSJZPAIMCDMPFVGD7Z3","download_json":"https://pith.science/pith/P6ZJKXDXSJZPAIMCDMPFVGD7Z3.json","view_paper":"https://pith.science/paper/P6ZJKXDX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.11667&json=true","fetch_graph":"https://pith.science/api/pith-number/P6ZJKXDXSJZPAIMCDMPFVGD7Z3/graph.json","fetch_events":"https://pith.science/api/pith-number/P6ZJKXDXSJZPAIMCDMPFVGD7Z3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P6ZJKXDXSJZPAIMCDMPFVGD7Z3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P6ZJKXDXSJZPAIMCDMPFVGD7Z3/action/storage_attestation","attest_author":"https://pith.science/pith/P6ZJKXDXSJZPAIMCDMPFVGD7Z3/action/author_attestation","sign_citation":"https://pith.science/pith/P6ZJKXDXSJZPAIMCDMPFVGD7Z3/action/citation_signature","submit_replication":"https://pith.science/pith/P6ZJKXDXSJZPAIMCDMPFVGD7Z3/action/replication_record"}},"created_at":"2026-05-17T23:50:02.074137+00:00","updated_at":"2026-05-17T23:50:02.074137+00:00"}