{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:K3AC7HKRRZP453NX22PMZZCUNB","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":"7016fbdf8dcdf71f2e1b170f141d17bacaceed3816573abd63f86afd178d81d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-02-12T12:34:31Z","title_canon_sha256":"6100eaa3d33d4ed98c66654579d839a3ad1ad1c5dbbad945297bc17c2623c7df"},"schema_version":"1.0","source":{"id":"2402.07611","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.07611","created_at":"2026-07-05T07:44:09Z"},{"alias_kind":"arxiv_version","alias_value":"2402.07611v1","created_at":"2026-07-05T07:44:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.07611","created_at":"2026-07-05T07:44:09Z"},{"alias_kind":"pith_short_12","alias_value":"K3AC7HKRRZP4","created_at":"2026-07-05T07:44:09Z"},{"alias_kind":"pith_short_16","alias_value":"K3AC7HKRRZP453NX","created_at":"2026-07-05T07:44:09Z"},{"alias_kind":"pith_short_8","alias_value":"K3AC7HKR","created_at":"2026-07-05T07:44:09Z"}],"graph_snapshots":[{"event_id":"sha256:582c574fe3321f05c9b173f4caee949cf5babd8155981a6334ff80ab94e7532a","target":"graph","created_at":"2026-07-05T07:44:09Z","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/2402.07611/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $X$ be an Enriques surface. Using Beauville's result about the triviality of the Brauer map of $X$, we define a new involution on the category of coherent sheaves on the canonically covering K3 surface $\\overline{X}$. We relate the fixed locus of this involution to certain Picard schemes of the noncommutative pair $(X,\\mathcal{A})$, where $\\mathcal{A}$ is an Azumaya algebra on $X$ defined by the nontrivial element in the Brauer group of $X$.","authors_text":"Fabian Reede","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-02-12T12:34:31Z","title":"Enriques surfaces with trivial Brauer map and involutions on hyperk\\\"ahler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.07611","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":"sha256:07a5a1bebb10107a17ec253f1871eeee0ddec6800c644a2da66574c6ea5c9a88","target":"record","created_at":"2026-07-05T07:44:09Z","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":"7016fbdf8dcdf71f2e1b170f141d17bacaceed3816573abd63f86afd178d81d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-02-12T12:34:31Z","title_canon_sha256":"6100eaa3d33d4ed98c66654579d839a3ad1ad1c5dbbad945297bc17c2623c7df"},"schema_version":"1.0","source":{"id":"2402.07611","kind":"arxiv","version":1}},"canonical_sha256":"56c02f9d518e5fceedb7d69ecce454685190bf25b4a44566136280be0008111e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56c02f9d518e5fceedb7d69ecce454685190bf25b4a44566136280be0008111e","first_computed_at":"2026-07-05T07:44:09.828451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:44:09.828451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eKGm9oZDqR0lsdXlNyhGHy9eepk2U/WFgz5w6uey50MOLRMqpb+/i6Q/LYwOChiK2CXN26ZemHPTBmaXOOrgBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:44:09.828800Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.07611","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07a5a1bebb10107a17ec253f1871eeee0ddec6800c644a2da66574c6ea5c9a88","sha256:582c574fe3321f05c9b173f4caee949cf5babd8155981a6334ff80ab94e7532a"],"state_sha256":"4b85582138dc6807f59e8579f04b136015db2f77a25b9fb68e958d13d30a765a"}