{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:P4BNBZOZHHQVI7ROAYD7ANW2F5","short_pith_number":"pith:P4BNBZOZ","schema_version":"1.0","canonical_sha256":"7f02d0e5d939e1547e2e0607f036da2f5df06f39f55c4279a50f468dab8713d0","source":{"kind":"arxiv","id":"1908.05322","version":3},"attestation_state":"computed","paper":{"title":"On Strominger K\\\"ahler-like manifolds with degenerate torsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Fangyang Zheng, Quanting Zhao, Shing-Tung Yau","submitted_at":"2019-08-14T19:32:14Z","abstract_excerpt":"In this paper, we study a special type of compact Hermitian manifolds that are Strominger K\\\"ahler-like, or SKL for short. This condition means that the Strominger connection (also known as Bismut connection) is K\\\"ahler-like, in the sense that its curvature tensor obeys all the symmetries of the curvature of a K\\\"ahler manifold. Previously, we have shown that any SKL manifold $(M^n,g)$ is always pluriclosed, and when the manifold is compact and $g$ is not K\\\"ahler, it can not admit any balanced or strongly Gauduchon (in the sense of Popovici) metric. Also, when $n=2$, the SKL condition is equ"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.05322","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-08-14T19:32:14Z","cross_cats_sorted":[],"title_canon_sha256":"6e12b202084dedbd4c0b09748a695c7e4b1e4bcb2ef349f923f2d26239cfba30","abstract_canon_sha256":"68328311212e5779878a551fde08e675dac4ba4810c63a07c60c6381712fcd41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:56:12.186386Z","signature_b64":"o3OOv49sivMQnfV+SW04NS6Rl81lpvfFDj8g74SI7YB64cn6MDNPB9nhG1wrYeSXwi2uBcKIGCicD1XnzH4aAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f02d0e5d939e1547e2e0607f036da2f5df06f39f55c4279a50f468dab8713d0","last_reissued_at":"2026-07-05T05:56:12.185948Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:56:12.185948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Strominger K\\\"ahler-like manifolds with degenerate torsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Fangyang Zheng, Quanting Zhao, Shing-Tung Yau","submitted_at":"2019-08-14T19:32:14Z","abstract_excerpt":"In this paper, we study a special type of compact Hermitian manifolds that are Strominger K\\\"ahler-like, or SKL for short. This condition means that the Strominger connection (also known as Bismut connection) is K\\\"ahler-like, in the sense that its curvature tensor obeys all the symmetries of the curvature of a K\\\"ahler manifold. Previously, we have shown that any SKL manifold $(M^n,g)$ is always pluriclosed, and when the manifold is compact and $g$ is not K\\\"ahler, it can not admit any balanced or strongly Gauduchon (in the sense of Popovici) metric. Also, when $n=2$, the SKL condition is equ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.05322","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.05322/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.05322","created_at":"2026-07-05T05:56:12.186009+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.05322v3","created_at":"2026-07-05T05:56:12.186009+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.05322","created_at":"2026-07-05T05:56:12.186009+00:00"},{"alias_kind":"pith_short_12","alias_value":"P4BNBZOZHHQV","created_at":"2026-07-05T05:56:12.186009+00:00"},{"alias_kind":"pith_short_16","alias_value":"P4BNBZOZHHQVI7RO","created_at":"2026-07-05T05:56:12.186009+00:00"},{"alias_kind":"pith_short_8","alias_value":"P4BNBZOZ","created_at":"2026-07-05T05:56:12.186009+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.01795","citing_title":"Special non-K\\\"ahler metrics -- old and new","ref_index":56,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P4BNBZOZHHQVI7ROAYD7ANW2F5","json":"https://pith.science/pith/P4BNBZOZHHQVI7ROAYD7ANW2F5.json","graph_json":"https://pith.science/api/pith-number/P4BNBZOZHHQVI7ROAYD7ANW2F5/graph.json","events_json":"https://pith.science/api/pith-number/P4BNBZOZHHQVI7ROAYD7ANW2F5/events.json","paper":"https://pith.science/paper/P4BNBZOZ"},"agent_actions":{"view_html":"https://pith.science/pith/P4BNBZOZHHQVI7ROAYD7ANW2F5","download_json":"https://pith.science/pith/P4BNBZOZHHQVI7ROAYD7ANW2F5.json","view_paper":"https://pith.science/paper/P4BNBZOZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.05322&json=true","fetch_graph":"https://pith.science/api/pith-number/P4BNBZOZHHQVI7ROAYD7ANW2F5/graph.json","fetch_events":"https://pith.science/api/pith-number/P4BNBZOZHHQVI7ROAYD7ANW2F5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P4BNBZOZHHQVI7ROAYD7ANW2F5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P4BNBZOZHHQVI7ROAYD7ANW2F5/action/storage_attestation","attest_author":"https://pith.science/pith/P4BNBZOZHHQVI7ROAYD7ANW2F5/action/author_attestation","sign_citation":"https://pith.science/pith/P4BNBZOZHHQVI7ROAYD7ANW2F5/action/citation_signature","submit_replication":"https://pith.science/pith/P4BNBZOZHHQVI7ROAYD7ANW2F5/action/replication_record"}},"created_at":"2026-07-05T05:56:12.186009+00:00","updated_at":"2026-07-05T05:56:12.186009+00:00"}