{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KWG3KFMCNK62E55XVFHOQ6ZRIA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"01336339c7a32d6a763c2669ab26d9df8359d6022ef72258c23f5d412a60c38a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-10-01T06:11:46Z","title_canon_sha256":"f880129a975b86872e69e1045ebf4b5a6c02b3e2429fb9ebfa0396fcc73b9827"},"schema_version":"1.0","source":{"id":"1610.00093","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00093","created_at":"2026-05-18T00:17:19Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00093v2","created_at":"2026-05-18T00:17:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00093","created_at":"2026-05-18T00:17:19Z"},{"alias_kind":"pith_short_12","alias_value":"KWG3KFMCNK62","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"KWG3KFMCNK62E55X","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"KWG3KFMC","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:44518068ff7ca0475ade1545da47d5aa5956a8dc0581df8a48e6c6eb5b313632","target":"graph","created_at":"2026-05-18T00:17:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Let $B\\rightarrow A$ be a homomorphism of Hopf algebras and let $C$ be an algebra. We consider the induction from $B$ to $A$ of $C$ in two cases: when $C$ is a $B$-interior algebra and when $C$ is a $B$-module algebra. Our main results establish the connection between the two inductions. The inspiration comes from finite group representation theory, and some constructions work in even more general contexts.","authors_text":"Andrei Marcus, Constantin-Cosmin Todea, Tiberiu Coconet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-10-01T06:11:46Z","title":"Frobenius induction for algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00093","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6eb6523cac80a573306edf5356b5af6778212c7e80379de86f0b186a6886cb5a","target":"record","created_at":"2026-05-18T00:17:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"01336339c7a32d6a763c2669ab26d9df8359d6022ef72258c23f5d412a60c38a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-10-01T06:11:46Z","title_canon_sha256":"f880129a975b86872e69e1045ebf4b5a6c02b3e2429fb9ebfa0396fcc73b9827"},"schema_version":"1.0","source":{"id":"1610.00093","kind":"arxiv","version":2}},"canonical_sha256":"558db515826abda277b7a94ee87b314005f40b92991585095c60b5ab9b438341","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"558db515826abda277b7a94ee87b314005f40b92991585095c60b5ab9b438341","first_computed_at":"2026-05-18T00:17:19.695135Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:19.695135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EcbI3d53mdq5fz6BDyNLFul+zwGLu4kK7FShX1aOZePTDjTkRjNFqrjSPyGTnKGPHkjBMyuAiRUqPU9Cb5oiAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:19.695870Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.00093","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6eb6523cac80a573306edf5356b5af6778212c7e80379de86f0b186a6886cb5a","sha256:44518068ff7ca0475ade1545da47d5aa5956a8dc0581df8a48e6c6eb5b313632"],"state_sha256":"5ce3d4ace8963ca3925088a495c0cd90ef6524f038ffd13a82190596a9ce39f8"}