{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:RSDESHS3THNYTXW7AI3JVCTGSV","short_pith_number":"pith:RSDESHS3","canonical_record":{"source":{"id":"hep-th/0211102","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-11-12T19:35:18Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"a09a477e0964a56374ba877d3db50c1730df8a028bb695439dbd8bb52c886d27","abstract_canon_sha256":"280e56083a945a0d4b365530ee16d5b0a60dc2deb1eef067fe17ca7de399fc40"},"schema_version":"1.0"},"canonical_sha256":"8c86491e5b99db89dedf02369a8a66954c11c05b738cb2328d4ce5cd7cac04ff","source":{"kind":"arxiv","id":"hep-th/0211102","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0211102","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0211102v2","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0211102","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"RSDESHS3THNY","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"RSDESHS3THNYTXW7","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"RSDESHS3","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:RSDESHS3THNYTXW7AI3JVCTGSV","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0211102","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-11-12T19:35:18Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"a09a477e0964a56374ba877d3db50c1730df8a028bb695439dbd8bb52c886d27","abstract_canon_sha256":"280e56083a945a0d4b365530ee16d5b0a60dc2deb1eef067fe17ca7de399fc40"},"schema_version":"1.0"},"canonical_sha256":"8c86491e5b99db89dedf02369a8a66954c11c05b738cb2328d4ce5cd7cac04ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:53.468067Z","signature_b64":"O4K3SfyyeW+hM6Ukfk9QVo1Acmjq6mLI2VfzHqMeNBURd+WqO3DwbSgL3plS5KBfO8JtMAJG3WUwpkPpFJvLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c86491e5b99db89dedf02369a8a66954c11c05b738cb2328d4ce5cd7cac04ff","last_reissued_at":"2026-05-18T02:35:53.467437Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:53.467437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0211102","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R0he42pTO1PqnMIkOpB3k6tndxuPAdurNbafm/uatY++0iUrOV468QmaftEy3FKVL2CN+u9jtnia52K69YE5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:58:55.934984Z"},"content_sha256":"6726058f7560553fbba1d7f8d50473c6e68c63c4550c8d287f90fcb26aecdcf6","schema_version":"1.0","event_id":"sha256:6726058f7560553fbba1d7f8d50473c6e68c63c4550c8d287f90fcb26aecdcf6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:RSDESHS3THNYTXW7AI3JVCTGSV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mirror Symmetry in Generalized Calabi-Yau Compactifications","license":"","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Andrei Micu, Daniel Waldram, Jan Louis, Sebastien Gurrieri","submitted_at":"2002-11-12T19:35:18Z","abstract_excerpt":"We discuss mirror symmetry in generalized Calabi-Yau compactifications of type II string theories with background NS fluxes. Starting from type IIB compactified on Calabi-Yau threefolds with NS three-form flux we show that the mirror type IIA theory arises from a purely geometrical compactification on a different class of six-manifolds. These mirror manifolds have SU(3) structure and are termed half-flat; they are neither complex nor Ricci-flat and their holonomy group is no longer SU(3). We show that type IIA appropriately compactified on such manifolds gives the correct mirror-symmetric low-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0211102","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qEKTCtJuzUb5Ly37gMmOjGij0evhlh++1Ng+YBYipUMQwZYHbRvOuBkiPP+fiVdFtfFZOMWpY4q0hY7QMfMcDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:58:55.935721Z"},"content_sha256":"5f1c4a06934523174a259206c43e9a9c8ea52521dcb35fba7bf180b2c1ca4904","schema_version":"1.0","event_id":"sha256:5f1c4a06934523174a259206c43e9a9c8ea52521dcb35fba7bf180b2c1ca4904"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RSDESHS3THNYTXW7AI3JVCTGSV/bundle.json","state_url":"https://pith.science/pith/RSDESHS3THNYTXW7AI3JVCTGSV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RSDESHS3THNYTXW7AI3JVCTGSV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-06T06:58:55Z","links":{"resolver":"https://pith.science/pith/RSDESHS3THNYTXW7AI3JVCTGSV","bundle":"https://pith.science/pith/RSDESHS3THNYTXW7AI3JVCTGSV/bundle.json","state":"https://pith.science/pith/RSDESHS3THNYTXW7AI3JVCTGSV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RSDESHS3THNYTXW7AI3JVCTGSV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:RSDESHS3THNYTXW7AI3JVCTGSV","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":"280e56083a945a0d4b365530ee16d5b0a60dc2deb1eef067fe17ca7de399fc40","cross_cats_sorted":["math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2002-11-12T19:35:18Z","title_canon_sha256":"a09a477e0964a56374ba877d3db50c1730df8a028bb695439dbd8bb52c886d27"},"schema_version":"1.0","source":{"id":"hep-th/0211102","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0211102","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0211102v2","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0211102","created_at":"2026-05-18T02:35:53Z"},{"alias_kind":"pith_short_12","alias_value":"RSDESHS3THNY","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"RSDESHS3THNYTXW7","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"RSDESHS3","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:5f1c4a06934523174a259206c43e9a9c8ea52521dcb35fba7bf180b2c1ca4904","target":"graph","created_at":"2026-05-18T02:35:53Z","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 discuss mirror symmetry in generalized Calabi-Yau compactifications of type II string theories with background NS fluxes. Starting from type IIB compactified on Calabi-Yau threefolds with NS three-form flux we show that the mirror type IIA theory arises from a purely geometrical compactification on a different class of six-manifolds. These mirror manifolds have SU(3) structure and are termed half-flat; they are neither complex nor Ricci-flat and their holonomy group is no longer SU(3). We show that type IIA appropriately compactified on such manifolds gives the correct mirror-symmetric low-","authors_text":"Andrei Micu, Daniel Waldram, Jan Louis, Sebastien Gurrieri","cross_cats":["math.DG"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-11-12T19:35:18Z","title":"Mirror Symmetry in Generalized Calabi-Yau Compactifications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0211102","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":"sha256:6726058f7560553fbba1d7f8d50473c6e68c63c4550c8d287f90fcb26aecdcf6","target":"record","created_at":"2026-05-18T02:35:53Z","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":"280e56083a945a0d4b365530ee16d5b0a60dc2deb1eef067fe17ca7de399fc40","cross_cats_sorted":["math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2002-11-12T19:35:18Z","title_canon_sha256":"a09a477e0964a56374ba877d3db50c1730df8a028bb695439dbd8bb52c886d27"},"schema_version":"1.0","source":{"id":"hep-th/0211102","kind":"arxiv","version":2}},"canonical_sha256":"8c86491e5b99db89dedf02369a8a66954c11c05b738cb2328d4ce5cd7cac04ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c86491e5b99db89dedf02369a8a66954c11c05b738cb2328d4ce5cd7cac04ff","first_computed_at":"2026-05-18T02:35:53.467437Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:53.467437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O4K3SfyyeW+hM6Ukfk9QVo1Acmjq6mLI2VfzHqMeNBURd+WqO3DwbSgL3plS5KBfO8JtMAJG3WUwpkPpFJvLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:53.468067Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0211102","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6726058f7560553fbba1d7f8d50473c6e68c63c4550c8d287f90fcb26aecdcf6","sha256:5f1c4a06934523174a259206c43e9a9c8ea52521dcb35fba7bf180b2c1ca4904"],"state_sha256":"ae3b01d0810c9df37eef2dfe51b712f65c2480bf1e682b2e18c516a0a42c4815"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f0wsE+W/Kt7AniCC63KiqRWx1DNMZrje6flPTABZwPSZOEH76dHV8rM2ongfLerOZeh/0Z5Eg+OlsHkYIg9/DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T06:58:55.938749Z","bundle_sha256":"c075c7386eb59a981caaf022e5258b377df5eb4a2058b15cd24bf0a92f12df7b"}}