{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QDYHISQADWSBA55RT4VNM5FEN2","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":"bfdab0f1f33d52e6bd9ccba33ede1e1709d1e016015b8857950a8897c5c66d9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-23T13:42:21Z","title_canon_sha256":"b66d2b5922a032516e0380a4db5c9ff40a25943198d8ecf470c504315e88596d"},"schema_version":"1.0","source":{"id":"1509.06973","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06973","created_at":"2026-05-18T01:12:13Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06973v1","created_at":"2026-05-18T01:12:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06973","created_at":"2026-05-18T01:12:13Z"},{"alias_kind":"pith_short_12","alias_value":"QDYHISQADWSB","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QDYHISQADWSBA55R","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QDYHISQA","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:3eec64996949f87185e455d9569bea429482b195d7355288016de0a7922ea661","target":"graph","created_at":"2026-05-18T01:12:13Z","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 show that it is possible to construct a well-defined effective field theory incorporating string winding modes without using strong constraint in double field theory. We show that X-ray (Radon) transform on a torus is well-suited for describing weakly constrained double fields, and any weakly constrained fields are represented as a sum of strongly constrained fields. Using inverse X- ray transform we define a novel binary operation which is compatible with the level matching constraint. Based on this formalism, we construct a consistent gauge transform and gauge invariant action without usi","authors_text":"Kanghoon Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-23T13:42:21Z","title":"Towards Weakly Constrained Double Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06973","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":"sha256:9fe8e84016f12f3c8ed2179375dabc3d8e5a1c94cde9152cd5ddd28e4ec63b7b","target":"record","created_at":"2026-05-18T01:12:13Z","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":"bfdab0f1f33d52e6bd9ccba33ede1e1709d1e016015b8857950a8897c5c66d9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-23T13:42:21Z","title_canon_sha256":"b66d2b5922a032516e0380a4db5c9ff40a25943198d8ecf470c504315e88596d"},"schema_version":"1.0","source":{"id":"1509.06973","kind":"arxiv","version":1}},"canonical_sha256":"80f0744a001da41077b19f2ad674a46e8d3793e01df6ff7590740aeace42fb45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80f0744a001da41077b19f2ad674a46e8d3793e01df6ff7590740aeace42fb45","first_computed_at":"2026-05-18T01:12:13.209767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:13.209767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6LlQiOINnVdiobSCQRs2I4n0M1N0/PFJkcLBkwCLHmGep0Ek4/s2sSinzoL+si2NRuZ+hN1hTyvJvLidIy46Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:13.210233Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.06973","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fe8e84016f12f3c8ed2179375dabc3d8e5a1c94cde9152cd5ddd28e4ec63b7b","sha256:3eec64996949f87185e455d9569bea429482b195d7355288016de0a7922ea661"],"state_sha256":"26e8c39f017b38e2850a28e5b71a69cb3272fbbe5783597b2feaafad6bff3424"}