{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:XRQ7TVYERG3WZNGF3I5BYDWE2X","short_pith_number":"pith:XRQ7TVYE","schema_version":"1.0","canonical_sha256":"bc61f9d70489b76cb4c5da3a1c0ec4d5d80228bf58e0633d81947ee62613edb3","source":{"kind":"arxiv","id":"1805.04931","version":1},"attestation_state":"computed","paper":{"title":"On the cohomology of comodules over smash coproducts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"S. Caenepeel, T. Gu\\'ed\\'enon","submitted_at":"2018-05-13T19:12:32Z","abstract_excerpt":"We consider the category of comodules over a smash coproduct coalgebra $C\\smashco H$. We show that there is a Grothendieck spectral sequence connecting the derived functors of the Hom functors coming from $C\\smashco H$-colinear, $H$-colinear and rational $C$-colinear morphisms. We give several applications and connect our results to existing spectral sequences in the literature."},"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":"1805.04931","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2018-05-13T19:12:32Z","cross_cats_sorted":[],"title_canon_sha256":"ca5faa401654ef21dbc85ffea7cda7b7708dcbf02fc26e5c4eefa6c64d3804e7","abstract_canon_sha256":"ba105e314839fd0986ddbfa4c31057157909de6a3da1a415859dbef8c059de68"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:04.286608Z","signature_b64":"DOCJHAS1wE6ph2Knc+zdatevTwdY/a+QfY8DdLZJuDuYpHMXY0KZvKn7wZVVRyrnhm6iUz+r0uT3wTlvuwdqAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc61f9d70489b76cb4c5da3a1c0ec4d5d80228bf58e0633d81947ee62613edb3","last_reissued_at":"2026-05-18T00:16:04.286235Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:04.286235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the cohomology of comodules over smash coproducts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"S. Caenepeel, T. Gu\\'ed\\'enon","submitted_at":"2018-05-13T19:12:32Z","abstract_excerpt":"We consider the category of comodules over a smash coproduct coalgebra $C\\smashco H$. We show that there is a Grothendieck spectral sequence connecting the derived functors of the Hom functors coming from $C\\smashco H$-colinear, $H$-colinear and rational $C$-colinear morphisms. We give several applications and connect our results to existing spectral sequences in the literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04931","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":"1805.04931","created_at":"2026-05-18T00:16:04.286297+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.04931v1","created_at":"2026-05-18T00:16:04.286297+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04931","created_at":"2026-05-18T00:16:04.286297+00:00"},{"alias_kind":"pith_short_12","alias_value":"XRQ7TVYERG3W","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"XRQ7TVYERG3WZNGF","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"XRQ7TVYE","created_at":"2026-05-18T12:33:01.666342+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/XRQ7TVYERG3WZNGF3I5BYDWE2X","json":"https://pith.science/pith/XRQ7TVYERG3WZNGF3I5BYDWE2X.json","graph_json":"https://pith.science/api/pith-number/XRQ7TVYERG3WZNGF3I5BYDWE2X/graph.json","events_json":"https://pith.science/api/pith-number/XRQ7TVYERG3WZNGF3I5BYDWE2X/events.json","paper":"https://pith.science/paper/XRQ7TVYE"},"agent_actions":{"view_html":"https://pith.science/pith/XRQ7TVYERG3WZNGF3I5BYDWE2X","download_json":"https://pith.science/pith/XRQ7TVYERG3WZNGF3I5BYDWE2X.json","view_paper":"https://pith.science/paper/XRQ7TVYE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.04931&json=true","fetch_graph":"https://pith.science/api/pith-number/XRQ7TVYERG3WZNGF3I5BYDWE2X/graph.json","fetch_events":"https://pith.science/api/pith-number/XRQ7TVYERG3WZNGF3I5BYDWE2X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XRQ7TVYERG3WZNGF3I5BYDWE2X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XRQ7TVYERG3WZNGF3I5BYDWE2X/action/storage_attestation","attest_author":"https://pith.science/pith/XRQ7TVYERG3WZNGF3I5BYDWE2X/action/author_attestation","sign_citation":"https://pith.science/pith/XRQ7TVYERG3WZNGF3I5BYDWE2X/action/citation_signature","submit_replication":"https://pith.science/pith/XRQ7TVYERG3WZNGF3I5BYDWE2X/action/replication_record"}},"created_at":"2026-05-18T00:16:04.286297+00:00","updated_at":"2026-05-18T00:16:04.286297+00:00"}