{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:DW7RTNJSSF3EUD4GNK6OMBCDDJ","short_pith_number":"pith:DW7RTNJS","schema_version":"1.0","canonical_sha256":"1dbf19b53291764a0f866abce604431a70ab3db50303574f28a4459c8e586231","source":{"kind":"arxiv","id":"1610.00092","version":1},"attestation_state":"computed","paper":{"title":"Bockstein homomorphisms for Hochschild cohomology of group algebras and of block algebras of finite groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.GR","authors_text":"Constantin-Cosmin Todea","submitted_at":"2016-10-01T05:57:56Z","abstract_excerpt":"We give an explicit approach for Bockstein homomorphisms of the Hochschild cohomology of a group algebra and of a block algebra of a finite group and we show some properties. To give explicit definitions for these maps we use an additive decomposition and a Product Formula for the Hochschild cohomology of group algebras given by Siegel and Witherspoon in 1999. For k an algebraically closed field of characteristic p and G a finite group we prove an additive decomposition and a Product Formula for the cohomology algebra of a defect group of a block ideal of kG with coefficients in the source alg"},"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":"1610.00092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-10-01T05:57:56Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"1e5a05e3924451af1bb7672d898f81cb1c4cb80911cb15c2629a104a5a2e3baa","abstract_canon_sha256":"bf3bedb4c22cc96dce7cac97c001aa1df16ac057efcfdc838a9d9eaff8cdfbaf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:31.884903Z","signature_b64":"kh6xA2875bBqmQInFEEZqkjl4F++wDzOOS+F2LLG2kLLVyqQAx17j56luE8ytPoZtlSKYQkYPp38DPjoMHCtCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1dbf19b53291764a0f866abce604431a70ab3db50303574f28a4459c8e586231","last_reissued_at":"2026-05-18T01:03:31.884443Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:31.884443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bockstein homomorphisms for Hochschild cohomology of group algebras and of block algebras of finite groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.GR","authors_text":"Constantin-Cosmin Todea","submitted_at":"2016-10-01T05:57:56Z","abstract_excerpt":"We give an explicit approach for Bockstein homomorphisms of the Hochschild cohomology of a group algebra and of a block algebra of a finite group and we show some properties. To give explicit definitions for these maps we use an additive decomposition and a Product Formula for the Hochschild cohomology of group algebras given by Siegel and Witherspoon in 1999. For k an algebraically closed field of characteristic p and G a finite group we prove an additive decomposition and a Product Formula for the cohomology algebra of a defect group of a block ideal of kG with coefficients in the source alg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00092","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":"1610.00092","created_at":"2026-05-18T01:03:31.884511+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.00092v1","created_at":"2026-05-18T01:03:31.884511+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00092","created_at":"2026-05-18T01:03:31.884511+00:00"},{"alias_kind":"pith_short_12","alias_value":"DW7RTNJSSF3E","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_16","alias_value":"DW7RTNJSSF3EUD4G","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_8","alias_value":"DW7RTNJS","created_at":"2026-05-18T12:30:12.583610+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/DW7RTNJSSF3EUD4GNK6OMBCDDJ","json":"https://pith.science/pith/DW7RTNJSSF3EUD4GNK6OMBCDDJ.json","graph_json":"https://pith.science/api/pith-number/DW7RTNJSSF3EUD4GNK6OMBCDDJ/graph.json","events_json":"https://pith.science/api/pith-number/DW7RTNJSSF3EUD4GNK6OMBCDDJ/events.json","paper":"https://pith.science/paper/DW7RTNJS"},"agent_actions":{"view_html":"https://pith.science/pith/DW7RTNJSSF3EUD4GNK6OMBCDDJ","download_json":"https://pith.science/pith/DW7RTNJSSF3EUD4GNK6OMBCDDJ.json","view_paper":"https://pith.science/paper/DW7RTNJS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.00092&json=true","fetch_graph":"https://pith.science/api/pith-number/DW7RTNJSSF3EUD4GNK6OMBCDDJ/graph.json","fetch_events":"https://pith.science/api/pith-number/DW7RTNJSSF3EUD4GNK6OMBCDDJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DW7RTNJSSF3EUD4GNK6OMBCDDJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DW7RTNJSSF3EUD4GNK6OMBCDDJ/action/storage_attestation","attest_author":"https://pith.science/pith/DW7RTNJSSF3EUD4GNK6OMBCDDJ/action/author_attestation","sign_citation":"https://pith.science/pith/DW7RTNJSSF3EUD4GNK6OMBCDDJ/action/citation_signature","submit_replication":"https://pith.science/pith/DW7RTNJSSF3EUD4GNK6OMBCDDJ/action/replication_record"}},"created_at":"2026-05-18T01:03:31.884511+00:00","updated_at":"2026-05-18T01:03:31.884511+00:00"}