{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:PE4J5ZWVNSPIZGYK5W7STPQCBQ","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":"b0537ba7e02c9707ca3c5353b011deb1759722b9a38d448e5b3db09fe0c86994","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.DG","submitted_at":"2005-03-21T17:32:38Z","title_canon_sha256":"22c8ddebf9108216d84b160b0148524aaf89bffec637c4646165a0c3f17f95b9"},"schema_version":"1.0","source":{"id":"math/0503432","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0503432","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"arxiv_version","alias_value":"math/0503432v1","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0503432","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"pith_short_12","alias_value":"PE4J5ZWVNSPI","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"pith_short_16","alias_value":"PE4J5ZWVNSPIZGYK","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"pith_short_8","alias_value":"PE4J5ZWV","created_at":"2026-07-04T16:56:27Z"}],"graph_snapshots":[{"event_id":"sha256:006c361db656598f81c3b15a8ee7edbe95684b78a5cb56c514774e35d90fda82","target":"graph","created_at":"2026-07-04T16:56:27Z","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/math/0503432/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using the idea of a generalized Kaehler structure, which is a pair of commuting generalized complex structures, we construct bihermitian metrics on the projective plane and the product of two projective lines, and show that any such structure on a compact 4-manifold M defines one on the moduli space of anti-self-dual connections on a fixed principal bundle over M. We highlight the role of holomorphic Poisson structures in all these constructions.","authors_text":"Nigel Hitchin","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2005-03-21T17:32:38Z","title":"Instantons, Poisson structures and generalized Kaehler geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0503432","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":"sha256:6904328549706b168618846090150ef4a7ad2a26207e38ddb989d0be9dd4834e","target":"record","created_at":"2026-07-04T16:56:27Z","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":"b0537ba7e02c9707ca3c5353b011deb1759722b9a38d448e5b3db09fe0c86994","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.DG","submitted_at":"2005-03-21T17:32:38Z","title_canon_sha256":"22c8ddebf9108216d84b160b0148524aaf89bffec637c4646165a0c3f17f95b9"},"schema_version":"1.0","source":{"id":"math/0503432","kind":"arxiv","version":1}},"canonical_sha256":"79389ee6d56c9e8c9b0aedbf29be020c259e82c388c6218c59124e0fe4e529b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79389ee6d56c9e8c9b0aedbf29be020c259e82c388c6218c59124e0fe4e529b4","first_computed_at":"2026-07-04T16:56:27.868646Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:56:27.868646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FHflwSYRD2mojsdr5zctOtEBk2FOSZLoxD0iORwJOASqb3c1zbu3PO7Z6+oNRGNM1wTD/mYLV0+Uh9ADN3rfCg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:56:27.869053Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0503432","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6904328549706b168618846090150ef4a7ad2a26207e38ddb989d0be9dd4834e","sha256:006c361db656598f81c3b15a8ee7edbe95684b78a5cb56c514774e35d90fda82"],"state_sha256":"2249c674e7a3323befa20b4caf3e6f81605080c74ac1dce18f492553eccfa282"}