{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:MGBYF25QDONRVIANWDXMPKYOI5","short_pith_number":"pith:MGBYF25Q","schema_version":"1.0","canonical_sha256":"618382ebb01b9b1aa00db0eec7ab0e4768f10b17757dd1770f174d3a9fe657ed","source":{"kind":"arxiv","id":"math/0003214","version":1},"attestation_state":"computed","paper":{"title":"Geometry of Quaternionic K\\\"ahler connections with torsion","license":"","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Stefan Ivanov","submitted_at":"2000-03-30T14:32:24Z","abstract_excerpt":"The target space of a (4,0) supersymmetric two-dimensional sigma model with Wess-Zumino term has a connection with totally skew-symmetric torsion and holonomy contained in Sp(n).Sp(1), QKT-connection. We study the geometry of QKT-connections. We find conditions to the existence of a QKT-connection and prove that if it exists it is unique. Studying conformal transformations we obtain a lot of (compact) examples of QKT manifolds. We present a (local) description of 4-dimensional homogeneous QKT structures relying on the known result of naturally reductive homogeneous Riemannian manifolds. We con"},"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":"math/0003214","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2000-03-30T14:32:24Z","cross_cats_sorted":[],"title_canon_sha256":"01f70b93c8b75a857937a7250e6290e8e61c815c6921eda3c6623584bd3e9299","abstract_canon_sha256":"ccf57724c02e273281e6f9b29761642f88e5916dd0dcaead374cdb1d43ede880"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:30.307841Z","signature_b64":"anEVx0brqEG2IR4ODUcga/Jk81vNaP1M/gkpju6fyyUF9rTUgO8fmJopWOe2TFDPsmiY62g+3Z4kuoRgq3MnAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"618382ebb01b9b1aa00db0eec7ab0e4768f10b17757dd1770f174d3a9fe657ed","last_reissued_at":"2026-05-18T01:38:30.307436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:30.307436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometry of Quaternionic K\\\"ahler connections with torsion","license":"","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Stefan Ivanov","submitted_at":"2000-03-30T14:32:24Z","abstract_excerpt":"The target space of a (4,0) supersymmetric two-dimensional sigma model with Wess-Zumino term has a connection with totally skew-symmetric torsion and holonomy contained in Sp(n).Sp(1), QKT-connection. We study the geometry of QKT-connections. We find conditions to the existence of a QKT-connection and prove that if it exists it is unique. Studying conformal transformations we obtain a lot of (compact) examples of QKT manifolds. We present a (local) description of 4-dimensional homogeneous QKT structures relying on the known result of naturally reductive homogeneous Riemannian manifolds. We con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0003214","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"math/0003214","created_at":"2026-05-18T01:38:30.307493+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0003214v1","created_at":"2026-05-18T01:38:30.307493+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0003214","created_at":"2026-05-18T01:38:30.307493+00:00"},{"alias_kind":"pith_short_12","alias_value":"MGBYF25QDONR","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"MGBYF25QDONRVIAN","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"MGBYF25Q","created_at":"2026-05-18T12:25:50.254431+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2511.20568","citing_title":"On the rigidity of special and exceptional geometries with torsion a closed $3$-form","ref_index":53,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MGBYF25QDONRVIANWDXMPKYOI5","json":"https://pith.science/pith/MGBYF25QDONRVIANWDXMPKYOI5.json","graph_json":"https://pith.science/api/pith-number/MGBYF25QDONRVIANWDXMPKYOI5/graph.json","events_json":"https://pith.science/api/pith-number/MGBYF25QDONRVIANWDXMPKYOI5/events.json","paper":"https://pith.science/paper/MGBYF25Q"},"agent_actions":{"view_html":"https://pith.science/pith/MGBYF25QDONRVIANWDXMPKYOI5","download_json":"https://pith.science/pith/MGBYF25QDONRVIANWDXMPKYOI5.json","view_paper":"https://pith.science/paper/MGBYF25Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0003214&json=true","fetch_graph":"https://pith.science/api/pith-number/MGBYF25QDONRVIANWDXMPKYOI5/graph.json","fetch_events":"https://pith.science/api/pith-number/MGBYF25QDONRVIANWDXMPKYOI5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MGBYF25QDONRVIANWDXMPKYOI5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MGBYF25QDONRVIANWDXMPKYOI5/action/storage_attestation","attest_author":"https://pith.science/pith/MGBYF25QDONRVIANWDXMPKYOI5/action/author_attestation","sign_citation":"https://pith.science/pith/MGBYF25QDONRVIANWDXMPKYOI5/action/citation_signature","submit_replication":"https://pith.science/pith/MGBYF25QDONRVIANWDXMPKYOI5/action/replication_record"}},"created_at":"2026-05-18T01:38:30.307493+00:00","updated_at":"2026-05-18T01:38:30.307493+00:00"}