{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZM3JO4SPP3GYL4XNU26OXAN4KI","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":"d152432f9e29b92c0467f935d50f79930c00289d778462a05b9fba165db2e429","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-07T20:00:35Z","title_canon_sha256":"f2968d61d61225d9f08648011fea7eeede8c3f4112939f224b5ba784712e868a"},"schema_version":"1.0","source":{"id":"1306.1837","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1837","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1837v3","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1837","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"pith_short_12","alias_value":"ZM3JO4SPP3GY","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZM3JO4SPP3GYL4XN","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZM3JO4SP","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:c0ae1d4bb22e9179df014f5c218b9fcaaf4d8dfc68067568600d03d4d8875239","target":"graph","created_at":"2026-05-18T02:59:08Z","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"},"paper":{"abstract_excerpt":"We provide an explicit twistorial construction of quaternion-Kahler manifolds obtained by deformation of c-map spaces and carrying an isometric action of the modular group SL(2,Z). The deformation is not assumed to preserve any continuous isometry and therefore this construction presents a general framework for describing NS5-brane instanton effects in string compactifications with N=2 supersymmetry. In this context the modular invariant parametrization of twistor lines found in this work yields the complete non-perturbative mirror map between type IIA and type IIB physical fields.","authors_text":"Sergei Alexandrov, Sibasish Banerjee","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-07T20:00:35Z","title":"Modularity, Quaternion-Kahler spaces and Mirror Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1837","kind":"arxiv","version":3},"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:b2cccbdf8d90accd1cb9895b26d2141d35bf556a4ff243ab3f9a7e7288fe75cc","target":"record","created_at":"2026-05-18T02:59:08Z","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":"d152432f9e29b92c0467f935d50f79930c00289d778462a05b9fba165db2e429","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-07T20:00:35Z","title_canon_sha256":"f2968d61d61225d9f08648011fea7eeede8c3f4112939f224b5ba784712e868a"},"schema_version":"1.0","source":{"id":"1306.1837","kind":"arxiv","version":3}},"canonical_sha256":"cb3697724f7ecd85f2eda6bceb81bc523a19de05a4e4354825dc646eef8c37db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb3697724f7ecd85f2eda6bceb81bc523a19de05a4e4354825dc646eef8c37db","first_computed_at":"2026-05-18T02:59:08.697174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:08.697174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZOh6jlmuZtqOw09rwwkI+8Ts4LsAE7z62T4fbA150T2lrNrls0cktkFY7X34oB847sY098MUC4kJEAOWgJA/AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:08.697712Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.1837","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2cccbdf8d90accd1cb9895b26d2141d35bf556a4ff243ab3f9a7e7288fe75cc","sha256:c0ae1d4bb22e9179df014f5c218b9fcaaf4d8dfc68067568600d03d4d8875239"],"state_sha256":"0eac582eea2d8afd67adf18b229d3c0906195b076aa03d0dce3dbe68f6a579e2"}