{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5BZVIN7MWVLEFHCLQB2KEZICWZ","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":"b1cb9a696d7d946bb157e22a39d6914be53f97f2436a5ffb83244c7e30329410","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-02-03T04:47:34Z","title_canon_sha256":"f8d1433fac7ac118b23ed0f527a350aac75d4aef90a7d99c4e7fbe129dc306cc"},"schema_version":"1.0","source":{"id":"1602.01189","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01189","created_at":"2026-07-05T05:56:11Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01189v2","created_at":"2026-07-05T05:56:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01189","created_at":"2026-07-05T05:56:11Z"},{"alias_kind":"pith_short_12","alias_value":"5BZVIN7MWVLE","created_at":"2026-07-05T05:56:11Z"},{"alias_kind":"pith_short_16","alias_value":"5BZVIN7MWVLEFHCL","created_at":"2026-07-05T05:56:11Z"},{"alias_kind":"pith_short_8","alias_value":"5BZVIN7M","created_at":"2026-07-05T05:56:11Z"}],"graph_snapshots":[{"event_id":"sha256:ccd0370d66aa3c3c3b0521326b3792edb147bdb0ad4a3011239cd42a62e008ee","target":"graph","created_at":"2026-07-05T05:56:11Z","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/1602.01189/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we examine the behavior of the Riemannian and Hermitian curvature tensors of a Hermitian metric, when one of the curvature tensors obeys all the symmetry conditions of the curvature tensor of a K\\\"ahler metric. We will call such metrics G-K\\\"ahler-like or K\\\"ahler-like, for lack of better terminologies. Such metrics are always balanced when the manifold is compact, so in a way they are more special than balanced metrics, which drew a lot of attention in the study of non-K\\\"ahler Calabi-Yau manifolds. In particular we derive various formulas on the difference between the Rieman","authors_text":"Bo Yang, Fangyang Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-02-03T04:47:34Z","title":"On Curvature Tensors of Hermitian Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01189","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:eec3135c2e72dfb04b865a738a26e3a8f4cb4b0739227898795e13ba64f58ede","target":"record","created_at":"2026-07-05T05:56:11Z","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":"b1cb9a696d7d946bb157e22a39d6914be53f97f2436a5ffb83244c7e30329410","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-02-03T04:47:34Z","title_canon_sha256":"f8d1433fac7ac118b23ed0f527a350aac75d4aef90a7d99c4e7fbe129dc306cc"},"schema_version":"1.0","source":{"id":"1602.01189","kind":"arxiv","version":2}},"canonical_sha256":"e8735437ecb556429c4b8074a26502b6529b71ade96d19f3f08efb9bbeabf0bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8735437ecb556429c4b8074a26502b6529b71ade96d19f3f08efb9bbeabf0bb","first_computed_at":"2026-07-05T05:56:11.810791Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:56:11.810791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jLVMc+C9qkqvpO3oT/KG1UuwGBx3sg1JfQovRBpVQaEDWEPIrILfNHhKx11sBP13tArgt7SPxjA5Ks1y3NWUCg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:56:11.811199Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.01189","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eec3135c2e72dfb04b865a738a26e3a8f4cb4b0739227898795e13ba64f58ede","sha256:ccd0370d66aa3c3c3b0521326b3792edb147bdb0ad4a3011239cd42a62e008ee"],"state_sha256":"3e1403d62a90bc2608493666bfd10834778d3385ea251bc6f8f7d73b2029ab75"}