{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:RHBKP5R2TBNSHXV7YF6T6EDDOS","short_pith_number":"pith:RHBKP5R2","schema_version":"1.0","canonical_sha256":"89c2a7f63a985b23debfc17d3f106374b1a3052185e379421f547d429cdd1b74","source":{"kind":"arxiv","id":"1501.02360","version":1},"attestation_state":"computed","paper":{"title":"On the structure theorem and the Maschke type theorem of Doi Hom-Hopf modules","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Shuangjian Guo, Xiaohui Zhang","submitted_at":"2015-01-10T15:23:28Z","abstract_excerpt":"We give necessary and sufficient conditions for the functor that forgets the $(C, \\gamma)$-coaction to be separable. This leads to a generalized notion of integrals. Finally, the applications of our results are considered."},"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":"1501.02360","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.RA","submitted_at":"2015-01-10T15:23:28Z","cross_cats_sorted":[],"title_canon_sha256":"ee1db914fbff16598945eda6b1ec87890face8807773e55d29035ca296d51503","abstract_canon_sha256":"a53db4ed0373544ceb9f4a804f74b72363038ce3d709a4e6bb3ba83024df555c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:38.161928Z","signature_b64":"Ne8ds4rBwmg0Yonva0O8oI/+4PisNBM7JIL9D7sEEKh7m4Qor6Zg7Z9aLr6gojdSg1oqmv9qKMi/KtJs5Kp+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89c2a7f63a985b23debfc17d3f106374b1a3052185e379421f547d429cdd1b74","last_reissued_at":"2026-05-18T02:29:38.161506Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:38.161506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the structure theorem and the Maschke type theorem of Doi Hom-Hopf modules","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Shuangjian Guo, Xiaohui Zhang","submitted_at":"2015-01-10T15:23:28Z","abstract_excerpt":"We give necessary and sufficient conditions for the functor that forgets the $(C, \\gamma)$-coaction to be separable. This leads to a generalized notion of integrals. Finally, the applications of our results are considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02360","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":"1501.02360","created_at":"2026-05-18T02:29:38.161570+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.02360v1","created_at":"2026-05-18T02:29:38.161570+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02360","created_at":"2026-05-18T02:29:38.161570+00:00"},{"alias_kind":"pith_short_12","alias_value":"RHBKP5R2TBNS","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"RHBKP5R2TBNSHXV7","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"RHBKP5R2","created_at":"2026-05-18T12:29:39.896362+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/RHBKP5R2TBNSHXV7YF6T6EDDOS","json":"https://pith.science/pith/RHBKP5R2TBNSHXV7YF6T6EDDOS.json","graph_json":"https://pith.science/api/pith-number/RHBKP5R2TBNSHXV7YF6T6EDDOS/graph.json","events_json":"https://pith.science/api/pith-number/RHBKP5R2TBNSHXV7YF6T6EDDOS/events.json","paper":"https://pith.science/paper/RHBKP5R2"},"agent_actions":{"view_html":"https://pith.science/pith/RHBKP5R2TBNSHXV7YF6T6EDDOS","download_json":"https://pith.science/pith/RHBKP5R2TBNSHXV7YF6T6EDDOS.json","view_paper":"https://pith.science/paper/RHBKP5R2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.02360&json=true","fetch_graph":"https://pith.science/api/pith-number/RHBKP5R2TBNSHXV7YF6T6EDDOS/graph.json","fetch_events":"https://pith.science/api/pith-number/RHBKP5R2TBNSHXV7YF6T6EDDOS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RHBKP5R2TBNSHXV7YF6T6EDDOS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RHBKP5R2TBNSHXV7YF6T6EDDOS/action/storage_attestation","attest_author":"https://pith.science/pith/RHBKP5R2TBNSHXV7YF6T6EDDOS/action/author_attestation","sign_citation":"https://pith.science/pith/RHBKP5R2TBNSHXV7YF6T6EDDOS/action/citation_signature","submit_replication":"https://pith.science/pith/RHBKP5R2TBNSHXV7YF6T6EDDOS/action/replication_record"}},"created_at":"2026-05-18T02:29:38.161570+00:00","updated_at":"2026-05-18T02:29:38.161570+00:00"}