{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:NTHVS5BCPWAD7RMWEHEDUSJRXA","short_pith_number":"pith:NTHVS5BC","schema_version":"1.0","canonical_sha256":"6ccf5974227d803fc59621c83a4931b8342f46774c5fcf400de85ace02e88006","source":{"kind":"arxiv","id":"1702.00721","version":1},"attestation_state":"computed","paper":{"title":"The A-infinity Centre of the Yoneda Algebra and the Characteristic Action of Hochschild Cohomology on the Derived Category","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.RT","authors_text":"Benjamin Briggs, Vincent Gelinas","submitted_at":"2017-02-02T15:53:02Z","abstract_excerpt":"For A a dg (or A-infinity) algebra and M a module over A, we study the image of the characteristic morphism $\\chi_M: HH^*(A, A) \\to Ext_A(M, M)$ and its interaction with the higher structure on the Yoneda algebra $Ext_A(M, M)$. To this end, we introduce and study a notion of A-infinity centre for minimal A-infinity algebras, agreeing with the usual centre in the case that there is no higher structure. We show that the image of $\\chi_M$ lands in the A-infinity centre of $Ext_A(M, M)$. When A is augmented over k, we show (under mild connectedness assumptions) that the morphism $\\chi_k: HH^*(A, A"},"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":"1702.00721","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-02-02T15:53:02Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"0066d07a1c81f9a7e3a30466dbe7aa0484b377a5fe1aa0277cc94070bdbbfd6a","abstract_canon_sha256":"9d6c47338787c39dc02bd85be008ec403d63e71dab0a280a037b1c258d81edbb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:31.010027Z","signature_b64":"DnB0CV2T7zBkTZXJhCsli5BFlDlR4GchDvIQbIcIs31cPJHceNDRTOSl/i5EVxrJCkGM2LsXb3TwDW0B5lqpBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ccf5974227d803fc59621c83a4931b8342f46774c5fcf400de85ace02e88006","last_reissued_at":"2026-05-18T00:51:31.009387Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:31.009387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The A-infinity Centre of the Yoneda Algebra and the Characteristic Action of Hochschild Cohomology on the Derived Category","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.RT","authors_text":"Benjamin Briggs, Vincent Gelinas","submitted_at":"2017-02-02T15:53:02Z","abstract_excerpt":"For A a dg (or A-infinity) algebra and M a module over A, we study the image of the characteristic morphism $\\chi_M: HH^*(A, A) \\to Ext_A(M, M)$ and its interaction with the higher structure on the Yoneda algebra $Ext_A(M, M)$. To this end, we introduce and study a notion of A-infinity centre for minimal A-infinity algebras, agreeing with the usual centre in the case that there is no higher structure. We show that the image of $\\chi_M$ lands in the A-infinity centre of $Ext_A(M, M)$. When A is augmented over k, we show (under mild connectedness assumptions) that the morphism $\\chi_k: HH^*(A, A"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00721","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":"1702.00721","created_at":"2026-05-18T00:51:31.009496+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.00721v1","created_at":"2026-05-18T00:51:31.009496+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00721","created_at":"2026-05-18T00:51:31.009496+00:00"},{"alias_kind":"pith_short_12","alias_value":"NTHVS5BCPWAD","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"NTHVS5BCPWAD7RMW","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"NTHVS5BC","created_at":"2026-05-18T12:31:34.259226+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/NTHVS5BCPWAD7RMWEHEDUSJRXA","json":"https://pith.science/pith/NTHVS5BCPWAD7RMWEHEDUSJRXA.json","graph_json":"https://pith.science/api/pith-number/NTHVS5BCPWAD7RMWEHEDUSJRXA/graph.json","events_json":"https://pith.science/api/pith-number/NTHVS5BCPWAD7RMWEHEDUSJRXA/events.json","paper":"https://pith.science/paper/NTHVS5BC"},"agent_actions":{"view_html":"https://pith.science/pith/NTHVS5BCPWAD7RMWEHEDUSJRXA","download_json":"https://pith.science/pith/NTHVS5BCPWAD7RMWEHEDUSJRXA.json","view_paper":"https://pith.science/paper/NTHVS5BC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.00721&json=true","fetch_graph":"https://pith.science/api/pith-number/NTHVS5BCPWAD7RMWEHEDUSJRXA/graph.json","fetch_events":"https://pith.science/api/pith-number/NTHVS5BCPWAD7RMWEHEDUSJRXA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NTHVS5BCPWAD7RMWEHEDUSJRXA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NTHVS5BCPWAD7RMWEHEDUSJRXA/action/storage_attestation","attest_author":"https://pith.science/pith/NTHVS5BCPWAD7RMWEHEDUSJRXA/action/author_attestation","sign_citation":"https://pith.science/pith/NTHVS5BCPWAD7RMWEHEDUSJRXA/action/citation_signature","submit_replication":"https://pith.science/pith/NTHVS5BCPWAD7RMWEHEDUSJRXA/action/replication_record"}},"created_at":"2026-05-18T00:51:31.009496+00:00","updated_at":"2026-05-18T00:51:31.009496+00:00"}