{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:QTSSLYXNF3LQMR2IXIKHN6XYNB","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":"6f3eb9338b874676568551a363afb428566e6b125a200d8b9bb9bb54ecdf0310","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-02T13:01:58Z","title_canon_sha256":"5c164f0c23bb6dd4376e0843e9289f9d60fe918faac17856ec29f4e1679b1145"},"schema_version":"1.0","source":{"id":"0904.0380","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.0380","created_at":"2026-07-04T15:46:26Z"},{"alias_kind":"arxiv_version","alias_value":"0904.0380v1","created_at":"2026-07-04T15:46:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.0380","created_at":"2026-07-04T15:46:26Z"},{"alias_kind":"pith_short_12","alias_value":"QTSSLYXNF3LQ","created_at":"2026-07-04T15:46:26Z"},{"alias_kind":"pith_short_16","alias_value":"QTSSLYXNF3LQMR2I","created_at":"2026-07-04T15:46:26Z"},{"alias_kind":"pith_short_8","alias_value":"QTSSLYXN","created_at":"2026-07-04T15:46:26Z"}],"graph_snapshots":[{"event_id":"sha256:3232001e8ed48e54c3ef99be98b9101fec99561e4af03eb6f869beb907db273f","target":"graph","created_at":"2026-07-04T15:46:26Z","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/0904.0380/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In arXiv:0902.4032 [hep-th] an O(D,D)-covariant sigma model describing the embedding of a closed world-sheet into the 2D-dimensional twisted torus was proposed. Such sigma models provide a universal description of string theory with target spaces related by the action of T-duality. In this article a six-dimensional toy example is studied in detail. Different polarisations of the six-dimensional target space give different three-dimensional string backgrounds including a nilmanifold with H-flux, a T-fold with R-flux and a new class of T-folds. Global issues and connections with the doubled toru","authors_text":"R A Reid-Edwards","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-02T13:01:58Z","title":"Flux compactifications, twisted tori and doubled geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.0380","kind":"arxiv","version":1},"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":"sha256:9353e2922792201792994c2981f25a0f2ae010af7ad0886fb651ec5de666ce14","target":"record","created_at":"2026-07-04T15:46:26Z","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":"6f3eb9338b874676568551a363afb428566e6b125a200d8b9bb9bb54ecdf0310","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-04-02T13:01:58Z","title_canon_sha256":"5c164f0c23bb6dd4376e0843e9289f9d60fe918faac17856ec29f4e1679b1145"},"schema_version":"1.0","source":{"id":"0904.0380","kind":"arxiv","version":1}},"canonical_sha256":"84e525e2ed2ed7064748ba1476faf86858bc7e072047d4be318df62f5848f6cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84e525e2ed2ed7064748ba1476faf86858bc7e072047d4be318df62f5848f6cd","first_computed_at":"2026-07-04T15:46:26.600785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:46:26.600785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fLLx3WWaZvjQI7Hws5rtXYDNT/Nn2ujH/jcX8ZDGjQsERbm7diJQ0xydmF+yNyeoxUjpp5DSrR3/bW3uM1vkCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:46:26.601188Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.0380","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9353e2922792201792994c2981f25a0f2ae010af7ad0886fb651ec5de666ce14","sha256:3232001e8ed48e54c3ef99be98b9101fec99561e4af03eb6f869beb907db273f"],"state_sha256":"45f256882a03806082b41211de1b1e7c6b78dd89686c0126efbf4819857a24e6"}