{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:OOPDEOFX7VGXP2PTT633EBDZK4","short_pith_number":"pith:OOPDEOFX","schema_version":"1.0","canonical_sha256":"739e3238b7fd4d77e9f39fb7b20479573e121756536efc2e48a070c3f566fadb","source":{"kind":"arxiv","id":"1603.02493","version":4},"attestation_state":"computed","paper":{"title":"Clifford theory for glider representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Frederik Caenepeel, Fred van Oystaeyen","submitted_at":"2016-03-08T12:02:48Z","abstract_excerpt":"Classical Clifford theory studies the decomposition of simple $G$-modules into simple $H$-modules for some normal subgroup $H \\triangleleft G$. In this paper we deal with chains of normal subgroups $1 \\triangleleft G_1 \\triangleleft \\cdots \\triangleleft G_d =G$, which allow to consider fragments and in particular glider representations. These are given by a descending chain of vector spaces over some field $K$ and relate different representations of the groups appearing in the chain. Picking some normal subgroup $H \\triangleleft G$ one obtains a normal subchain and one can construct an induced"},"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":"1603.02493","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-03-08T12:02:48Z","cross_cats_sorted":[],"title_canon_sha256":"3b9341f5b45370d12f9b6e0d37d7470462bd7bc71406365c44aa8a4ad83023d9","abstract_canon_sha256":"296c85d97d30bc8af1717ddd8e18ba3220b648c059226fc7d89d4967cba9e6d6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:35.293433Z","signature_b64":"N8IgMWNVgzn6ki5Ot2uF3XlKajIMXpOGOaH+mb18Up4vND0HLs8wWZ8dBmjNwPpz6hQF+ncs3e7filP1pu1pBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"739e3238b7fd4d77e9f39fb7b20479573e121756536efc2e48a070c3f566fadb","last_reissued_at":"2026-05-18T00:42:35.292883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:35.292883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Clifford theory for glider representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Frederik Caenepeel, Fred van Oystaeyen","submitted_at":"2016-03-08T12:02:48Z","abstract_excerpt":"Classical Clifford theory studies the decomposition of simple $G$-modules into simple $H$-modules for some normal subgroup $H \\triangleleft G$. In this paper we deal with chains of normal subgroups $1 \\triangleleft G_1 \\triangleleft \\cdots \\triangleleft G_d =G$, which allow to consider fragments and in particular glider representations. These are given by a descending chain of vector spaces over some field $K$ and relate different representations of the groups appearing in the chain. Picking some normal subgroup $H \\triangleleft G$ one obtains a normal subchain and one can construct an induced"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02493","kind":"arxiv","version":4},"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":"1603.02493","created_at":"2026-05-18T00:42:35.292967+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.02493v4","created_at":"2026-05-18T00:42:35.292967+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.02493","created_at":"2026-05-18T00:42:35.292967+00:00"},{"alias_kind":"pith_short_12","alias_value":"OOPDEOFX7VGX","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"OOPDEOFX7VGXP2PT","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"OOPDEOFX","created_at":"2026-05-18T12:30:36.002864+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/OOPDEOFX7VGXP2PTT633EBDZK4","json":"https://pith.science/pith/OOPDEOFX7VGXP2PTT633EBDZK4.json","graph_json":"https://pith.science/api/pith-number/OOPDEOFX7VGXP2PTT633EBDZK4/graph.json","events_json":"https://pith.science/api/pith-number/OOPDEOFX7VGXP2PTT633EBDZK4/events.json","paper":"https://pith.science/paper/OOPDEOFX"},"agent_actions":{"view_html":"https://pith.science/pith/OOPDEOFX7VGXP2PTT633EBDZK4","download_json":"https://pith.science/pith/OOPDEOFX7VGXP2PTT633EBDZK4.json","view_paper":"https://pith.science/paper/OOPDEOFX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.02493&json=true","fetch_graph":"https://pith.science/api/pith-number/OOPDEOFX7VGXP2PTT633EBDZK4/graph.json","fetch_events":"https://pith.science/api/pith-number/OOPDEOFX7VGXP2PTT633EBDZK4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OOPDEOFX7VGXP2PTT633EBDZK4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OOPDEOFX7VGXP2PTT633EBDZK4/action/storage_attestation","attest_author":"https://pith.science/pith/OOPDEOFX7VGXP2PTT633EBDZK4/action/author_attestation","sign_citation":"https://pith.science/pith/OOPDEOFX7VGXP2PTT633EBDZK4/action/citation_signature","submit_replication":"https://pith.science/pith/OOPDEOFX7VGXP2PTT633EBDZK4/action/replication_record"}},"created_at":"2026-05-18T00:42:35.292967+00:00","updated_at":"2026-05-18T00:42:35.292967+00:00"}