{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:X6TPZFIWC72IJ2HSBWEY3QHWMO","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":"bf13b3bd1cf0acf153659162bcb9630ea4ef47f67b5be95550ad285534f322d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-04-21T22:08:19Z","title_canon_sha256":"ab1a072e121dca657005ae7165e56a243aec3a7506c9c0c40df81e8f0c650621"},"schema_version":"1.0","source":{"id":"1604.06507","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06507","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06507v1","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06507","created_at":"2026-05-18T00:09:31Z"},{"alias_kind":"pith_short_12","alias_value":"X6TPZFIWC72I","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"X6TPZFIWC72IJ2HS","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"X6TPZFIW","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:9d4a30326b4900f3e7852fcd38846d548d2d30a485ad0c1f870c00dd313e01d5","target":"graph","created_at":"2026-05-18T00:09:31Z","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":"We show that the action of the Lie algebra HH^1(A) of outer derivations of an associative algebra A on the Hochschild cohomology HH^*(A) of A given by the Gerstenhaber bracket can be computed in terms of an arbitrary projective resolution of A as an A-bimodule, without having recourse to comparison maps between the resolution and the bar resolution.","authors_text":"Mariano Su\\'arez-\\'Alvarez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-04-21T22:08:19Z","title":"A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06507","kind":"arxiv","version":1},"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:b65f9de607db3146799cc1231b8381f235c2ef5ab4693e713edc583dc50fc031","target":"record","created_at":"2026-05-18T00:09:31Z","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":"bf13b3bd1cf0acf153659162bcb9630ea4ef47f67b5be95550ad285534f322d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-04-21T22:08:19Z","title_canon_sha256":"ab1a072e121dca657005ae7165e56a243aec3a7506c9c0c40df81e8f0c650621"},"schema_version":"1.0","source":{"id":"1604.06507","kind":"arxiv","version":1}},"canonical_sha256":"bfa6fc951617f484e8f20d898dc0f663a5f8125c2add756a686f5e2cea7e7ccc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfa6fc951617f484e8f20d898dc0f663a5f8125c2add756a686f5e2cea7e7ccc","first_computed_at":"2026-05-18T00:09:31.582035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:31.582035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/kxbauc/Q1KG6/AKBcMfa40Re0bK4q4sXxatApBGPG/GU/B5VuD21H0C23sKGWD9K1iCQw/It5bTwNiO+0mmCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:31.582678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06507","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b65f9de607db3146799cc1231b8381f235c2ef5ab4693e713edc583dc50fc031","sha256:9d4a30326b4900f3e7852fcd38846d548d2d30a485ad0c1f870c00dd313e01d5"],"state_sha256":"c32afa75e1249127e8425b6bb23b1cf57918bcc59feed5832373f8135a586ff9"}