{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:XJX4FOBCUKDDSAOKOQJRHWQ25P","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":"e560c15a9161643daa8b5d2732f4e5514b8e9e2962c2bea544af3f5f0dd6eca9","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-03-02T13:39:44Z","title_canon_sha256":"4c1217beb193ddec96271729004aabf8d9fde88f8d5e56d9bd3994a3857740a7"},"schema_version":"1.0","source":{"id":"hep-th/0703021","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0703021","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0703021v2","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0703021","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"pith_short_12","alias_value":"XJX4FOBCUKDD","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"XJX4FOBCUKDDSAOK","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"XJX4FOBC","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:7d8a5e8bfd47e5dd1b5afe5b4536cd0aaee6a772a9eb6c5b8ad76b09e8ae7df4","target":"graph","created_at":"2026-05-18T04:38:37Z","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 extend the T-duality for gauge theory to that on curved space described as a nontrivial fiber bundle. We also present a new viewpoint concerning the consistent truncation and the T-duality for gauge theory and discuss the relation between the vacua on the total space and on the base space. As examples, we consider S^3(/Z_k), S^5(/Z_k) and the Heisenberg nilmanifold.","authors_text":"Asato Tsuchiya, Goro Ishiki, Shinji Shimasaki, Takaaki Ishii","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-03-02T13:39:44Z","title":"T-duality, Fiber Bundles and Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0703021","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":"sha256:093211070be56abc82704ba371c5bbfdbc8c2ba1d3b48848c73c9af702d55ada","target":"record","created_at":"2026-05-18T04:38:37Z","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":"e560c15a9161643daa8b5d2732f4e5514b8e9e2962c2bea544af3f5f0dd6eca9","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-03-02T13:39:44Z","title_canon_sha256":"4c1217beb193ddec96271729004aabf8d9fde88f8d5e56d9bd3994a3857740a7"},"schema_version":"1.0","source":{"id":"hep-th/0703021","kind":"arxiv","version":2}},"canonical_sha256":"ba6fc2b822a2863901ca741313da1aebcd3eb11e0d2db2a8f859e340db742e0a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba6fc2b822a2863901ca741313da1aebcd3eb11e0d2db2a8f859e340db742e0a","first_computed_at":"2026-05-18T04:38:37.986220Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:37.986220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zkER/NyYyN1R98hRTvRrxWr626Xg1vkX9/Ln1EYVtKbAI2K41QA3HZmAKXhLLfc0W2RwmDCrrj391oHVV+s8AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:37.986813Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0703021","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:093211070be56abc82704ba371c5bbfdbc8c2ba1d3b48848c73c9af702d55ada","sha256:7d8a5e8bfd47e5dd1b5afe5b4536cd0aaee6a772a9eb6c5b8ad76b09e8ae7df4"],"state_sha256":"970007cec42b0e4b18d8d4e8fd04e4848d2151c789cf1be63ba03d3fd798681a"}