{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AD3FOLKMOJFHPKG3Q6TMNYAI4R","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":"302dcba242c4402484ce9e6b754c3d822aa0cfee7726662694d56e59d2344f07","cross_cats_sorted":["math.AT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-26T23:35:06Z","title_canon_sha256":"a623147b605d622e36f9a427afbc0f15d15ebdc9db2e2d89c0a546ed44f674a6"},"schema_version":"1.0","source":{"id":"1211.6161","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6161","created_at":"2026-05-18T03:27:52Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6161v3","created_at":"2026-05-18T03:27:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6161","created_at":"2026-05-18T03:27:52Z"},{"alias_kind":"pith_short_12","alias_value":"AD3FOLKMOJFH","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AD3FOLKMOJFHPKG3","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AD3FOLKM","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:7a4d10e54bc0199cb79b21f79a1b132644404e9083dd47ba2ea80b150b573f4d","target":"graph","created_at":"2026-05-18T03:27:52Z","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":"This paper studies etale twists of derived categories of schemes and associative algebras. A general method, based on a new construction called the twisted Brauer space, is given for classifying etale twists, and a complete classification is carried out for genus 0 curves, quadrics, and noncommutative projective spaces. A partial classification is given for curves of higher genus. The techniques build upon my recent work with David Gepner on the Brauer groups of commutative ring spectra.","authors_text":"Benjamin Antieau","cross_cats":["math.AT","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-26T23:35:06Z","title":"Etale twists in noncommutative algebraic geometry and the twisted Brauer space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6161","kind":"arxiv","version":3},"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":"sha256:4014987d7c9f4739c5ef94a9f81704978416545c2b7e9d84ec00b9a15b2a9a16","target":"record","created_at":"2026-05-18T03:27:52Z","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":"302dcba242c4402484ce9e6b754c3d822aa0cfee7726662694d56e59d2344f07","cross_cats_sorted":["math.AT","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-11-26T23:35:06Z","title_canon_sha256":"a623147b605d622e36f9a427afbc0f15d15ebdc9db2e2d89c0a546ed44f674a6"},"schema_version":"1.0","source":{"id":"1211.6161","kind":"arxiv","version":3}},"canonical_sha256":"00f6572d4c724a77a8db87a6c6e008e474945a7ee8d0b13f49d0490c320166f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00f6572d4c724a77a8db87a6c6e008e474945a7ee8d0b13f49d0490c320166f4","first_computed_at":"2026-05-18T03:27:52.207367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:52.207367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bqqYOQb/Iz1nj+GNJsWHM/3saUwlok3QM/e4YbZU8LZWn8KzNnQLYukp0GhmH2F1keht4SRxfb7dEjUtjN+eBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:52.207981Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6161","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4014987d7c9f4739c5ef94a9f81704978416545c2b7e9d84ec00b9a15b2a9a16","sha256:7a4d10e54bc0199cb79b21f79a1b132644404e9083dd47ba2ea80b150b573f4d"],"state_sha256":"d32e3cbdc50b29111bfaec0cbfc4856910f00d5fb90b8a0b7b9d07f47eaa8170"}