{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:YSAEBVGVZZJ2R5FOL3WVTEWWRE","short_pith_number":"pith:YSAEBVGV","schema_version":"1.0","canonical_sha256":"c48040d4d5ce53a8f4ae5eed5992d68909eaeaab640801d6d4bf5618602c6947","source":{"kind":"arxiv","id":"0910.4622","version":2},"attestation_state":"computed","paper":{"title":"A categorical approach to cyclic duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.KT","authors_text":"Dragos Stefan, Gabriella B\\\"ohm","submitted_at":"2009-10-24T05:35:34Z","abstract_excerpt":"The aim of this paper is to provide a unifying categorical framework for the many examples of para-(co)cyclic modules arising from Hopf cyclic theory. Functoriality of the coefficients is immediate in this approach. A functor corresponding to Connes's cyclic duality is constructed. Our methods allow, in particular, to extend Hopf cyclic theory to (Hopf) bialgebroids."},"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":"0910.4622","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2009-10-24T05:35:34Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"ee6d3ed66529b2be3d182a7d848ca66e6e7f915d7144173af6ab55d7d604abd8","abstract_canon_sha256":"04e199e6a54a82cc11814f36f314a25a6acd6a42a829d253605e6ff816d72c07"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:46.629742Z","signature_b64":"b3zP+gJQ96SFjTm/A8HP9KIBZ0DiCz7j09BtqXJky44Fq62iyjwfbn6hrxk94KqaFpsxfxhxuaO4azF/jyPGCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c48040d4d5ce53a8f4ae5eed5992d68909eaeaab640801d6d4bf5618602c6947","last_reissued_at":"2026-05-18T02:24:46.629293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:46.629293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A categorical approach to cyclic duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.KT","authors_text":"Dragos Stefan, Gabriella B\\\"ohm","submitted_at":"2009-10-24T05:35:34Z","abstract_excerpt":"The aim of this paper is to provide a unifying categorical framework for the many examples of para-(co)cyclic modules arising from Hopf cyclic theory. Functoriality of the coefficients is immediate in this approach. A functor corresponding to Connes's cyclic duality is constructed. Our methods allow, in particular, to extend Hopf cyclic theory to (Hopf) bialgebroids."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.4622","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":"0910.4622","created_at":"2026-05-18T02:24:46.629373+00:00"},{"alias_kind":"arxiv_version","alias_value":"0910.4622v2","created_at":"2026-05-18T02:24:46.629373+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.4622","created_at":"2026-05-18T02:24:46.629373+00:00"},{"alias_kind":"pith_short_12","alias_value":"YSAEBVGVZZJ2","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"YSAEBVGVZZJ2R5FO","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"YSAEBVGV","created_at":"2026-05-18T12:26:02.257875+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/YSAEBVGVZZJ2R5FOL3WVTEWWRE","json":"https://pith.science/pith/YSAEBVGVZZJ2R5FOL3WVTEWWRE.json","graph_json":"https://pith.science/api/pith-number/YSAEBVGVZZJ2R5FOL3WVTEWWRE/graph.json","events_json":"https://pith.science/api/pith-number/YSAEBVGVZZJ2R5FOL3WVTEWWRE/events.json","paper":"https://pith.science/paper/YSAEBVGV"},"agent_actions":{"view_html":"https://pith.science/pith/YSAEBVGVZZJ2R5FOL3WVTEWWRE","download_json":"https://pith.science/pith/YSAEBVGVZZJ2R5FOL3WVTEWWRE.json","view_paper":"https://pith.science/paper/YSAEBVGV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0910.4622&json=true","fetch_graph":"https://pith.science/api/pith-number/YSAEBVGVZZJ2R5FOL3WVTEWWRE/graph.json","fetch_events":"https://pith.science/api/pith-number/YSAEBVGVZZJ2R5FOL3WVTEWWRE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YSAEBVGVZZJ2R5FOL3WVTEWWRE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YSAEBVGVZZJ2R5FOL3WVTEWWRE/action/storage_attestation","attest_author":"https://pith.science/pith/YSAEBVGVZZJ2R5FOL3WVTEWWRE/action/author_attestation","sign_citation":"https://pith.science/pith/YSAEBVGVZZJ2R5FOL3WVTEWWRE/action/citation_signature","submit_replication":"https://pith.science/pith/YSAEBVGVZZJ2R5FOL3WVTEWWRE/action/replication_record"}},"created_at":"2026-05-18T02:24:46.629373+00:00","updated_at":"2026-05-18T02:24:46.629373+00:00"}