{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CEAGUL5KA3ICPTUTMANLBKMQOW","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":"5556e66ea3f966d1024024e9813b72407b0bd3e9e11c00454ce8cd0f6de55f5d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-08-21T13:38:13Z","title_canon_sha256":"d3ddbc91d1bd771d99a6a1c8dd2776d8667c5ea7088f8e99bb5b2f63099bc3f6"},"schema_version":"1.0","source":{"id":"1308.5159","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.5159","created_at":"2026-05-18T01:29:22Z"},{"alias_kind":"arxiv_version","alias_value":"1308.5159v2","created_at":"2026-05-18T01:29:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5159","created_at":"2026-05-18T01:29:22Z"},{"alias_kind":"pith_short_12","alias_value":"CEAGUL5KA3IC","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CEAGUL5KA3ICPTUT","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CEAGUL5K","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:30e6dd90d48bee172ff9ffd8ddf77f671c394a82f24069c15a49bac3f9a43883","target":"graph","created_at":"2026-05-18T01:29:22Z","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":"In this paper, we use reduction by extended actions to give a construction of transitive Courant algebroids from string classes. We prove that T-duality commutes with the reductions and thereby determine global conditions for the existence of T-duals in heterotic string theory. In particular we find that T-duality exchanges string structures and gives an isomorphism of transitive Courant algebroids. Consequently we derive the T-duality transformation for generalised metrics and show that the heterotic Einstein equations are preserved. The presence of string structures significantly extends the","authors_text":"David Baraglia, Pedram Hekmati","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-08-21T13:38:13Z","title":"Transitive Courant Algebroids, String Structures and T-duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5159","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":"sha256:7098ffdad5de4e5ecd8cc28abb654c973437277f64f07be90d30132c48859ccc","target":"record","created_at":"2026-05-18T01:29:22Z","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":"5556e66ea3f966d1024024e9813b72407b0bd3e9e11c00454ce8cd0f6de55f5d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-08-21T13:38:13Z","title_canon_sha256":"d3ddbc91d1bd771d99a6a1c8dd2776d8667c5ea7088f8e99bb5b2f63099bc3f6"},"schema_version":"1.0","source":{"id":"1308.5159","kind":"arxiv","version":2}},"canonical_sha256":"11006a2faa06d027ce93601ab0a99075ad3ed43b0084a4b83575b58b583d415a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11006a2faa06d027ce93601ab0a99075ad3ed43b0084a4b83575b58b583d415a","first_computed_at":"2026-05-18T01:29:22.017947Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:22.017947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eaOJfRQWXLgFm6e4PitZ3zxqJztvjRxivo5Q+CCa8JY5I05pjh25VKLoOhdO9cwJf5NRKq9rf/i+nH3nx/hPBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:22.018726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.5159","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7098ffdad5de4e5ecd8cc28abb654c973437277f64f07be90d30132c48859ccc","sha256:30e6dd90d48bee172ff9ffd8ddf77f671c394a82f24069c15a49bac3f9a43883"],"state_sha256":"0308da48b388f62ecbfa5ebf63444ee65b429531083ddb76c6c886d96f51616f"}