{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QZSHAENOKI6P2UQYD7A2TASVIW","short_pith_number":"pith:QZSHAENO","schema_version":"1.0","canonical_sha256":"86647011ae523cfd52181fc1a9825545a47c08291d4a87223d93acd6e24f6666","source":{"kind":"arxiv","id":"1202.5951","version":4},"attestation_state":"computed","paper":{"title":"Examples of Sweedler cohomology in positive characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Pierre Guillot","submitted_at":"2012-02-27T14:26:39Z","abstract_excerpt":"In this paper we provide a detailed calculation of the Sweedler cohomology of the algebra of functions on (Z/2)^r, in all degrees, over a field of characteristic 2. The result is strikingly different from the characteristic 0 analog.\n  Then we show that there is a variant in characteristic p of the result obtained by Kassel and the author in characteristic zero, which provides a near-complete calculation of the second lazy cohomology group in the case of function algebras over a finite group."},"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":"1202.5951","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-02-27T14:26:39Z","cross_cats_sorted":[],"title_canon_sha256":"8f53af2a7fe3b07958b5aac725ce8e07a10edac51cab1b72e02297c5817658c6","abstract_canon_sha256":"11ee2e653c4b0f16f85dff4e1618913d622cdc9b4498c4f3092fa370ce3e43cc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:54.657899Z","signature_b64":"SZEPfmm3YsMfVDODoCKnXOPsSImkSJ7yJ0aoA0qXnNKuyStKifaNO0eOo9gMNNWy2pIR/SA/kCmPKsNMw60ABw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86647011ae523cfd52181fc1a9825545a47c08291d4a87223d93acd6e24f6666","last_reissued_at":"2026-05-18T03:01:54.657502Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:54.657502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Examples of Sweedler cohomology in positive characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Pierre Guillot","submitted_at":"2012-02-27T14:26:39Z","abstract_excerpt":"In this paper we provide a detailed calculation of the Sweedler cohomology of the algebra of functions on (Z/2)^r, in all degrees, over a field of characteristic 2. The result is strikingly different from the characteristic 0 analog.\n  Then we show that there is a variant in characteristic p of the result obtained by Kassel and the author in characteristic zero, which provides a near-complete calculation of the second lazy cohomology group in the case of function algebras over a finite group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5951","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":"1202.5951","created_at":"2026-05-18T03:01:54.657561+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.5951v4","created_at":"2026-05-18T03:01:54.657561+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5951","created_at":"2026-05-18T03:01:54.657561+00:00"},{"alias_kind":"pith_short_12","alias_value":"QZSHAENOKI6P","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"QZSHAENOKI6P2UQY","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"QZSHAENO","created_at":"2026-05-18T12:27:20.899486+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/QZSHAENOKI6P2UQYD7A2TASVIW","json":"https://pith.science/pith/QZSHAENOKI6P2UQYD7A2TASVIW.json","graph_json":"https://pith.science/api/pith-number/QZSHAENOKI6P2UQYD7A2TASVIW/graph.json","events_json":"https://pith.science/api/pith-number/QZSHAENOKI6P2UQYD7A2TASVIW/events.json","paper":"https://pith.science/paper/QZSHAENO"},"agent_actions":{"view_html":"https://pith.science/pith/QZSHAENOKI6P2UQYD7A2TASVIW","download_json":"https://pith.science/pith/QZSHAENOKI6P2UQYD7A2TASVIW.json","view_paper":"https://pith.science/paper/QZSHAENO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.5951&json=true","fetch_graph":"https://pith.science/api/pith-number/QZSHAENOKI6P2UQYD7A2TASVIW/graph.json","fetch_events":"https://pith.science/api/pith-number/QZSHAENOKI6P2UQYD7A2TASVIW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QZSHAENOKI6P2UQYD7A2TASVIW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QZSHAENOKI6P2UQYD7A2TASVIW/action/storage_attestation","attest_author":"https://pith.science/pith/QZSHAENOKI6P2UQYD7A2TASVIW/action/author_attestation","sign_citation":"https://pith.science/pith/QZSHAENOKI6P2UQYD7A2TASVIW/action/citation_signature","submit_replication":"https://pith.science/pith/QZSHAENOKI6P2UQYD7A2TASVIW/action/replication_record"}},"created_at":"2026-05-18T03:01:54.657561+00:00","updated_at":"2026-05-18T03:01:54.657561+00:00"}