{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:DPR3QSTOIAFLO54VORTLX4FVP3","short_pith_number":"pith:DPR3QSTO","schema_version":"1.0","canonical_sha256":"1be3b84a6e400ab777957466bbf0b57ef8600d6cfe2d63fe5cee650addab6a70","source":{"kind":"arxiv","id":"1910.09997","version":3},"attestation_state":"computed","paper":{"title":"Born Sigma-Models for Para-Hermitian Manifolds and Generalized T-Duality","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"hep-th","authors_text":"Richard J. Szabo, Vincenzo Emilio Marotta","submitted_at":"2019-10-22T14:15:04Z","abstract_excerpt":"We give a covariant realization of the doubled sigma-model formulation of duality-symmetric string theory within the general framework of para-Hermitian geometry. We define a notion of generalized metric on a para-Hermitian manifold and discuss its relation to Born geometry. We show that a Born geometry uniquely defines a worldsheet sigma-model with a para-Hermitian target space, and we describe its Lie algebroid gauging as a means of recovering the conventional sigma-model description of a physical string background as the leaf space of a foliated para-Hermitian manifold. Applying the Kotov-S"},"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":"1910.09997","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-10-22T14:15:04Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"dedc3281c3eb0912540d0ea82e27175b9f7e56355228aebb16b996e6955cd9f9","abstract_canon_sha256":"8622b89d7252d20b74fdba54165de0963bcc2ad9d90bfae8f590f5abbe071dd9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:45:31.324438Z","signature_b64":"fJPkGRca1TMxdyz1gcV/cHxwl4g+OIQgh6rvbZabpCyAyBrQgewSjFUZ7GSkToiEBRzEyEPsUF11esBlwuJ3Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1be3b84a6e400ab777957466bbf0b57ef8600d6cfe2d63fe5cee650addab6a70","last_reissued_at":"2026-07-05T02:45:31.324020Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:45:31.324020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Born Sigma-Models for Para-Hermitian Manifolds and Generalized T-Duality","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"hep-th","authors_text":"Richard J. Szabo, Vincenzo Emilio Marotta","submitted_at":"2019-10-22T14:15:04Z","abstract_excerpt":"We give a covariant realization of the doubled sigma-model formulation of duality-symmetric string theory within the general framework of para-Hermitian geometry. We define a notion of generalized metric on a para-Hermitian manifold and discuss its relation to Born geometry. We show that a Born geometry uniquely defines a worldsheet sigma-model with a para-Hermitian target space, and we describe its Lie algebroid gauging as a means of recovering the conventional sigma-model description of a physical string background as the leaf space of a foliated para-Hermitian manifold. Applying the Kotov-S"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.09997","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/1910.09997/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":"1910.09997","created_at":"2026-07-05T02:45:31.324084+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.09997v3","created_at":"2026-07-05T02:45:31.324084+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.09997","created_at":"2026-07-05T02:45:31.324084+00:00"},{"alias_kind":"pith_short_12","alias_value":"DPR3QSTOIAFL","created_at":"2026-07-05T02:45:31.324084+00:00"},{"alias_kind":"pith_short_16","alias_value":"DPR3QSTOIAFLO54V","created_at":"2026-07-05T02:45:31.324084+00:00"},{"alias_kind":"pith_short_8","alias_value":"DPR3QSTO","created_at":"2026-07-05T02:45:31.324084+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.02318","citing_title":"Courant Algebroid Relations, T-Dualities and Generalised Ricci Flow","ref_index":17,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DPR3QSTOIAFLO54VORTLX4FVP3","json":"https://pith.science/pith/DPR3QSTOIAFLO54VORTLX4FVP3.json","graph_json":"https://pith.science/api/pith-number/DPR3QSTOIAFLO54VORTLX4FVP3/graph.json","events_json":"https://pith.science/api/pith-number/DPR3QSTOIAFLO54VORTLX4FVP3/events.json","paper":"https://pith.science/paper/DPR3QSTO"},"agent_actions":{"view_html":"https://pith.science/pith/DPR3QSTOIAFLO54VORTLX4FVP3","download_json":"https://pith.science/pith/DPR3QSTOIAFLO54VORTLX4FVP3.json","view_paper":"https://pith.science/paper/DPR3QSTO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.09997&json=true","fetch_graph":"https://pith.science/api/pith-number/DPR3QSTOIAFLO54VORTLX4FVP3/graph.json","fetch_events":"https://pith.science/api/pith-number/DPR3QSTOIAFLO54VORTLX4FVP3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DPR3QSTOIAFLO54VORTLX4FVP3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DPR3QSTOIAFLO54VORTLX4FVP3/action/storage_attestation","attest_author":"https://pith.science/pith/DPR3QSTOIAFLO54VORTLX4FVP3/action/author_attestation","sign_citation":"https://pith.science/pith/DPR3QSTOIAFLO54VORTLX4FVP3/action/citation_signature","submit_replication":"https://pith.science/pith/DPR3QSTOIAFLO54VORTLX4FVP3/action/replication_record"}},"created_at":"2026-07-05T02:45:31.324084+00:00","updated_at":"2026-07-05T02:45:31.324084+00:00"}