{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:D75G6K6WSBBVX5Z6BSZJNWPGSA","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":"4d40da7ef7c9d71fe320530d5263872263dc093b7501b2a2c21369bd3f4f0b3b","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-07-08T15:42:23Z","title_canon_sha256":"73c8583c7cf3d18ed8532a296c452649e9afd27929a4e23fe496685ba03d82f1"},"schema_version":"1.0","source":{"id":"2107.03914","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.03914","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"arxiv_version","alias_value":"2107.03914v2","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.03914","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"pith_short_12","alias_value":"D75G6K6WSBBV","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"pith_short_16","alias_value":"D75G6K6WSBBVX5Z6","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"pith_short_8","alias_value":"D75G6K6W","created_at":"2026-07-05T06:02:44Z"}],"graph_snapshots":[{"event_id":"sha256:b56efee2b6620d657c810edd3a3df99430f6c6dde000dc941584a9edfb727011","target":"graph","created_at":"2026-07-05T06:02:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2107.03914/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is dedicated to a further study of derived Azumaya algebras. The first result we obtain is a Beauville-Laszlo-style property for such objects (considered up to Morita equivalence), which is consequence of a more general Beauville-Laszlo kind of statement for quasi-coherent sheaves of categories. Next, we prove that given any (derived) scheme $X$, proper over the spectrum of a quasi-excellent Henselian ring, the derived Brauer group of $X$ injects into the one of the Henselization of $X$ along the base, generalizing a classical result of Grothendieck and a more recent theorem of Geis","authors_text":"Federico Binda, Mauro Porta","cross_cats":["math.AT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-07-08T15:42:23Z","title":"GAGA problems for the Brauer group via derived geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.03914","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":"sha256:7fe078c1e657cbe3f624e248cffae12e72504ceb7c4fc92ecdfd5fe0c8d27cfc","target":"record","created_at":"2026-07-05T06:02:44Z","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":"4d40da7ef7c9d71fe320530d5263872263dc093b7501b2a2c21369bd3f4f0b3b","cross_cats_sorted":["math.AT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2021-07-08T15:42:23Z","title_canon_sha256":"73c8583c7cf3d18ed8532a296c452649e9afd27929a4e23fe496685ba03d82f1"},"schema_version":"1.0","source":{"id":"2107.03914","kind":"arxiv","version":2}},"canonical_sha256":"1ffa6f2bd690435bf73e0cb296d9e690399f904e4a62fa4fdd5df758040cb4d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ffa6f2bd690435bf73e0cb296d9e690399f904e4a62fa4fdd5df758040cb4d9","first_computed_at":"2026-07-05T06:02:44.274296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:02:44.274296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WkGKnDD2VZfb9L0PpZmkJI0m88oCbqh1A+84Uk6zqN2HbokG/MTpzDE7GE+4dOUns9Kv9LlsP79vlOO4RIIjAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:02:44.274763Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.03914","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fe078c1e657cbe3f624e248cffae12e72504ceb7c4fc92ecdfd5fe0c8d27cfc","sha256:b56efee2b6620d657c810edd3a3df99430f6c6dde000dc941584a9edfb727011"],"state_sha256":"ee7a293851f841d2f7cfe0886a96ad65fe2b63cd528e9a5cf552bd4f39063485"}