{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WCHWRELM5CXLMPRLJW23D5KQZM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"eb1e1250f5e84287241d5927779e244f6f983b9a8ad1ebc5803425f30e08090c","cross_cats_sorted":["math.KT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-01-07T19:14:31Z","title_canon_sha256":"865f1ddb4a20dfccae2a15c2ecb09d6e23e34fea1bc04bf7ae5eea796c66a6e0"},"schema_version":"1.0","source":{"id":"1601.01641","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.01641","created_at":"2026-05-17T23:44:38Z"},{"alias_kind":"arxiv_version","alias_value":"1601.01641v2","created_at":"2026-05-17T23:44:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01641","created_at":"2026-05-17T23:44:38Z"},{"alias_kind":"pith_short_12","alias_value":"WCHWRELM5CXL","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WCHWRELM5CXLMPRL","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WCHWRELM","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:70baa3652df2e046ae9dfba9ce90e74c94fdc60125dffecc2ef8c6aa9b998704","target":"graph","created_at":"2026-05-17T23:44:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Keller proved in 1999 that the Gerstenhaber algebra structure on the Hochschild cohomology of an algebra is an invariant of the derived category. In this paper, we adapt his approach to show that the Gerstenhaber algebra structure on the Tate-Hochschild cohomology of an algebra is preserved under singular equivalences of Morita type with level, a notion introduced by the author in previous work.","authors_text":"Zhengfang Wang","cross_cats":["math.KT","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-01-07T19:14:31Z","title":"Invariance of the Gerstenhaber algebra structure on Tate-Hochschild cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01641","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:394e2e934f5c8e083b8a9c76709d76f6179d457be45893e0b1823716a0186508","target":"record","created_at":"2026-05-17T23:44:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"eb1e1250f5e84287241d5927779e244f6f983b9a8ad1ebc5803425f30e08090c","cross_cats_sorted":["math.KT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-01-07T19:14:31Z","title_canon_sha256":"865f1ddb4a20dfccae2a15c2ecb09d6e23e34fea1bc04bf7ae5eea796c66a6e0"},"schema_version":"1.0","source":{"id":"1601.01641","kind":"arxiv","version":2}},"canonical_sha256":"b08f68916ce8aeb63e2b4db5b1f550cb31299df8368132981c552de236e58373","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b08f68916ce8aeb63e2b4db5b1f550cb31299df8368132981c552de236e58373","first_computed_at":"2026-05-17T23:44:38.529368Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:38.529368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lxRjg+A9kc436WQEYf8qCjKX5FOUGhCOm/BoPEcGuNZfjWvNBxQHT41sC9pw2zWCb+x6hTiM9wofSEYTpYEOCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:38.529807Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.01641","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:394e2e934f5c8e083b8a9c76709d76f6179d457be45893e0b1823716a0186508","sha256:70baa3652df2e046ae9dfba9ce90e74c94fdc60125dffecc2ef8c6aa9b998704"],"state_sha256":"6831eebf9cabdff0e9591ce5c487998049e7dfa76872adc976fe4c7a911e6d53"}