{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:YLXYTZU6JETSPZY2ZXVIFGBOEE","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":"28ba47ecec21ee16ff6dc1035a6e54a7d2bb36bf1f1b70375d968b8ca339a2d6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-06-16T12:45:59Z","title_canon_sha256":"f185bb5e2699aaeb95f4bd64990045404376ef96df7884a610deddfb807c5610"},"schema_version":"1.0","source":{"id":"hep-th/0406137","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0406137","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0406137v2","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0406137","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"pith_short_12","alias_value":"YLXYTZU6JETS","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"pith_short_16","alias_value":"YLXYTZU6JETSPZY2","created_at":"2026-07-04T15:20:29Z"},{"alias_kind":"pith_short_8","alias_value":"YLXYTZU6","created_at":"2026-07-04T15:20:29Z"}],"graph_snapshots":[{"event_id":"sha256:87293ee6bfd13d1927d19238c337dcec34e83d1bad0ef098374ce596f7384d77","target":"graph","created_at":"2026-07-04T15:20:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0406137/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the supersymmetry transformations for type II string theories on six-manifolds can be written as differential conditions on a pair of pure spinors, the exponentiated Kahler form exp(iJ) and the holomorphic form Omega. The equations are explicitly symmetric under exchange of the two pure spinors and a choice of even or odd-rank RR field. This is mirror symmetry for manifolds with torsion. Moreover, RR fluxes affect only one of the two equations: exp(iJ) is closed under the action of the twisted exterior derivative in IIA theory, and similarly Omega is closed in IIB. Modulo a differ","authors_text":"Alessandro Tomasiello, Mariana Grana, Michela Petrini, Ruben Minasian","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-06-16T12:45:59Z","title":"Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0406137","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":"sha256:2a77b1275e8fe3804aed7319f4c452ca994a75ce276087163bf558d3745dfe1e","target":"record","created_at":"2026-07-04T15:20:29Z","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":"28ba47ecec21ee16ff6dc1035a6e54a7d2bb36bf1f1b70375d968b8ca339a2d6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-06-16T12:45:59Z","title_canon_sha256":"f185bb5e2699aaeb95f4bd64990045404376ef96df7884a610deddfb807c5610"},"schema_version":"1.0","source":{"id":"hep-th/0406137","kind":"arxiv","version":2}},"canonical_sha256":"c2ef89e69e492727e71acdea82982e211949d7413fe1a472cd4cb36a608001d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2ef89e69e492727e71acdea82982e211949d7413fe1a472cd4cb36a608001d7","first_computed_at":"2026-07-04T15:20:29.242142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:29.242142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ozuqLRV7ZXBerszxTq78m7fLiGX5Wu2WshaPOJqfZgMl8lOD+eFDz5iH52NdI809IFmKuO5mIaUGkItDUtgBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:29.242517Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0406137","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a77b1275e8fe3804aed7319f4c452ca994a75ce276087163bf558d3745dfe1e","sha256:87293ee6bfd13d1927d19238c337dcec34e83d1bad0ef098374ce596f7384d77"],"state_sha256":"003f8f988799c8b80566e884872369a136f3a95dfe0238b9903814b8e7ef6b8d"}