{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:5ZJMWHSJ4V7JCZ2TW2CBX7W6H2","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":"bbcdaa7f4a4b8590768cc30b19fc7e459be9bf52a9771a4e8b8d8f28e73c6ff9","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2022-11-16T18:47:05Z","title_canon_sha256":"666f57569dd9daf19712b295c4f6afbf60f2f11eee313240d5731854972c7406"},"schema_version":"1.0","source":{"id":"2211.09104","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.09104","created_at":"2026-07-05T09:30:48Z"},{"alias_kind":"arxiv_version","alias_value":"2211.09104v2","created_at":"2026-07-05T09:30:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.09104","created_at":"2026-07-05T09:30:48Z"},{"alias_kind":"pith_short_12","alias_value":"5ZJMWHSJ4V7J","created_at":"2026-07-05T09:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"5ZJMWHSJ4V7JCZ2T","created_at":"2026-07-05T09:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"5ZJMWHSJ","created_at":"2026-07-05T09:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:49023670cc2c399bfa96a375b3741ce40e83fae2c1b68dfc9d6a8a8864833ab1","target":"graph","created_at":"2026-07-05T09:30:48Z","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/2211.09104/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate an extension of the Calabi conjecture to the setting of generalized K\\\"ahler geometry. We show a transgression formula for the Bismut Ricci curvature in this setting, which requires a new local Goto/Kodaira-Spencer deformation result, and use it to show that solutions of the generalized Calabi-Yau equation on compact manifolds are classically K\\\"ahler, Calabi-Yau, and furthermore unique in their generalized K\\\"ahler class. We show that the generalized K\\\"ahler-Ricci flow is naturally adapted to this conjecture, and exhibit a number of a priori estimates and monotonicity formulas w","authors_text":"Jeffrey Streets, Vestislav Apostolov, Xin Fu, Yury Ustinovskiy","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2022-11-16T18:47:05Z","title":"The generalized K\\\"ahler Calabi-Yau problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.09104","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":"sha256:5f39a3be42436ce2d643df661429506899c0f423e92b67db1ae4548960eb5eee","target":"record","created_at":"2026-07-05T09:30:48Z","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":"bbcdaa7f4a4b8590768cc30b19fc7e459be9bf52a9771a4e8b8d8f28e73c6ff9","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2022-11-16T18:47:05Z","title_canon_sha256":"666f57569dd9daf19712b295c4f6afbf60f2f11eee313240d5731854972c7406"},"schema_version":"1.0","source":{"id":"2211.09104","kind":"arxiv","version":2}},"canonical_sha256":"ee52cb1e49e57e916753b6841bfede3e93b3b52dda939654283d95bc3a508fb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee52cb1e49e57e916753b6841bfede3e93b3b52dda939654283d95bc3a508fb9","first_computed_at":"2026-07-05T09:30:48.231138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:30:48.231138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SGsxIk7N+Op1JKEeplE9DAgMd6QGQJzvrX1qOWuD9ud+YSS07VmdGwh5J/4FhpTyoZZmrdF93FMS5KuxCZ+ECQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:30:48.231637Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.09104","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f39a3be42436ce2d643df661429506899c0f423e92b67db1ae4548960eb5eee","sha256:49023670cc2c399bfa96a375b3741ce40e83fae2c1b68dfc9d6a8a8864833ab1"],"state_sha256":"4a949b88df41b6d1d55d748498972901a96d34593b51c30d22d9a9c78d1741f1"}