{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:YYEH5XKGUIVNJAVPMO4LCRXJZB","short_pith_number":"pith:YYEH5XKG","schema_version":"1.0","canonical_sha256":"c6087edd46a22ad482af63b8b146e9c85014f08897c0c0255e9da77523da0cd8","source":{"kind":"arxiv","id":"1601.04423","version":2},"attestation_state":"computed","paper":{"title":"Restriction of odd degree characters and natural correspondences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Alexander Kleshchev, Eugenio Giannelli, Gabriel Navarro, Pham Huu Tiep","submitted_at":"2016-01-18T08:16:40Z","abstract_excerpt":"Let $q$ be an odd prime power, $n > 1$, and let $P$ denote a maximal parabolic subgroup of $GL_n(q)$ with Levi subgroup $GL_{n-1}(q) \\times GL_1(q)$. We restrict the odd-degree irreducible characters of $GL_n(q)$ to $P$ to discover a natural correspondence of characters, both for $GL_n(q)$ and $SL_n(q)$. A similar result is established for certain finite groups with self-normalizing Sylow $p$-subgroups. We also construct a canonical bijection between the odd-degree irreducible characters of $S_n$ and those of $M$, where $M$ is any maximal subgroup of $S_n$ of odd index; as well as between the "},"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":"1601.04423","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-01-18T08:16:40Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"58e8898dcac17b4d73c3389e02387b312b6c64e1300080241b1bab59a605f942","abstract_canon_sha256":"750ad132c6b5797083a5d09dc0d70a365596e202350f2922aeef1954c1c77f36"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:46.760820Z","signature_b64":"yxmf0VNKZCjJGbQtJa3uyVbjzmr0GkDz7FNf+bWymzMAtgf4BZ8KbWxledmG+7XGO7jqJS4Vy9MLoeD3AGjADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6087edd46a22ad482af63b8b146e9c85014f08897c0c0255e9da77523da0cd8","last_reissued_at":"2026-05-18T01:21:46.760132Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:46.760132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Restriction of odd degree characters and natural correspondences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Alexander Kleshchev, Eugenio Giannelli, Gabriel Navarro, Pham Huu Tiep","submitted_at":"2016-01-18T08:16:40Z","abstract_excerpt":"Let $q$ be an odd prime power, $n > 1$, and let $P$ denote a maximal parabolic subgroup of $GL_n(q)$ with Levi subgroup $GL_{n-1}(q) \\times GL_1(q)$. We restrict the odd-degree irreducible characters of $GL_n(q)$ to $P$ to discover a natural correspondence of characters, both for $GL_n(q)$ and $SL_n(q)$. A similar result is established for certain finite groups with self-normalizing Sylow $p$-subgroups. We also construct a canonical bijection between the odd-degree irreducible characters of $S_n$ and those of $M$, where $M$ is any maximal subgroup of $S_n$ of odd index; as well as between the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04423","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":"1601.04423","created_at":"2026-05-18T01:21:46.760231+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.04423v2","created_at":"2026-05-18T01:21:46.760231+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04423","created_at":"2026-05-18T01:21:46.760231+00:00"},{"alias_kind":"pith_short_12","alias_value":"YYEH5XKGUIVN","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"YYEH5XKGUIVNJAVP","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"YYEH5XKG","created_at":"2026-05-18T12:30:53.716459+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/YYEH5XKGUIVNJAVPMO4LCRXJZB","json":"https://pith.science/pith/YYEH5XKGUIVNJAVPMO4LCRXJZB.json","graph_json":"https://pith.science/api/pith-number/YYEH5XKGUIVNJAVPMO4LCRXJZB/graph.json","events_json":"https://pith.science/api/pith-number/YYEH5XKGUIVNJAVPMO4LCRXJZB/events.json","paper":"https://pith.science/paper/YYEH5XKG"},"agent_actions":{"view_html":"https://pith.science/pith/YYEH5XKGUIVNJAVPMO4LCRXJZB","download_json":"https://pith.science/pith/YYEH5XKGUIVNJAVPMO4LCRXJZB.json","view_paper":"https://pith.science/paper/YYEH5XKG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.04423&json=true","fetch_graph":"https://pith.science/api/pith-number/YYEH5XKGUIVNJAVPMO4LCRXJZB/graph.json","fetch_events":"https://pith.science/api/pith-number/YYEH5XKGUIVNJAVPMO4LCRXJZB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YYEH5XKGUIVNJAVPMO4LCRXJZB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YYEH5XKGUIVNJAVPMO4LCRXJZB/action/storage_attestation","attest_author":"https://pith.science/pith/YYEH5XKGUIVNJAVPMO4LCRXJZB/action/author_attestation","sign_citation":"https://pith.science/pith/YYEH5XKGUIVNJAVPMO4LCRXJZB/action/citation_signature","submit_replication":"https://pith.science/pith/YYEH5XKGUIVNJAVPMO4LCRXJZB/action/replication_record"}},"created_at":"2026-05-18T01:21:46.760231+00:00","updated_at":"2026-05-18T01:21:46.760231+00:00"}