{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:WLDDDQALSNY5YYA3X2TD3OK2GR","short_pith_number":"pith:WLDDDQAL","canonical_record":{"source":{"id":"1102.0419","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-02-02T12:52:39Z","cross_cats_sorted":[],"title_canon_sha256":"d2703e0f1ec8a6202f914b31b9ccdc96465b6a1309203a0d69d76b3b344e4207","abstract_canon_sha256":"5a2e9de4613069eea9cb972c725741b370439c845c30ff66a9d5b21a7bebd63a"},"schema_version":"1.0"},"canonical_sha256":"b2c631c00b9371dc601bbea63db95a34403bb56be485bce2e29f7d063f6da91c","source":{"kind":"arxiv","id":"1102.0419","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0419","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0419v2","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0419","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"pith_short_12","alias_value":"WLDDDQALSNY5","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WLDDDQALSNY5YYA3","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WLDDDQAL","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:WLDDDQALSNY5YYA3X2TD3OK2GR","target":"record","payload":{"canonical_record":{"source":{"id":"1102.0419","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-02-02T12:52:39Z","cross_cats_sorted":[],"title_canon_sha256":"d2703e0f1ec8a6202f914b31b9ccdc96465b6a1309203a0d69d76b3b344e4207","abstract_canon_sha256":"5a2e9de4613069eea9cb972c725741b370439c845c30ff66a9d5b21a7bebd63a"},"schema_version":"1.0"},"canonical_sha256":"b2c631c00b9371dc601bbea63db95a34403bb56be485bce2e29f7d063f6da91c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:21.843447Z","signature_b64":"CjjHGuxdGITEMe54agcWZMSlXluaNj0kSWI5meM46rU+XJirc4n+c0A3Ai2mOVdL6Kg+OZG7LYIGuq+xdRxaBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2c631c00b9371dc601bbea63db95a34403bb56be485bce2e29f7d063f6da91c","last_reissued_at":"2026-05-18T04:19:21.842859Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:21.842859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.0419","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:19:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a23lDlC0Eg9aCIPxYeGsavHW8hejvuLmzPjt/ibpxq206Qf0ZsJOxymFCqL1jnocDHivPfsMA7l51JhS/NJUCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:42:37.913791Z"},"content_sha256":"c39cdcec96188aabcb283096c9f9b4b3e1ca02bdc7ba2737782871b7a6df45f1","schema_version":"1.0","event_id":"sha256:c39cdcec96188aabcb283096c9f9b4b3e1ca02bdc7ba2737782871b7a6df45f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:WLDDDQALSNY5YYA3X2TD3OK2GR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Double field formulation of Yang-Mills theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Imtak Jeon, Jeong-Hyuck Park, Kanghoon Lee","submitted_at":"2011-02-02T12:52:39Z","abstract_excerpt":"Based on our previous work on the differential geometry for the closed string double field theory, we construct a Yang-Mills action which is covariant under O(D,D) T-duality rotation and invariant under three-types of gauge transformations: non-Abelian Yang-Mills, diffeomorphism and one-form gauge symmetries. In double field formulation, in a manifestly covariant manner our action couples a single O(D,D) vector potential to the closed string double field theory. In terms of undoubled component fields, it couples a usual Yang-Mills gauge field to an additional one-form field and also to the clo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0419","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:19:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KGbxoivNXEHRrdU1nhPEc1Wf5FTgIka8KPhl4SG7Rw9Oy+/dtPtcsi/dSHVaqjLHh1fNhkfNmd8x/DX8YO5jDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T12:42:37.914438Z"},"content_sha256":"bcae21584af45caf990a9ea1d81a70613cd8eb85098e4a904a19f3656b7a3f75","schema_version":"1.0","event_id":"sha256:bcae21584af45caf990a9ea1d81a70613cd8eb85098e4a904a19f3656b7a3f75"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WLDDDQALSNY5YYA3X2TD3OK2GR/bundle.json","state_url":"https://pith.science/pith/WLDDDQALSNY5YYA3X2TD3OK2GR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WLDDDQALSNY5YYA3X2TD3OK2GR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T12:42:37Z","links":{"resolver":"https://pith.science/pith/WLDDDQALSNY5YYA3X2TD3OK2GR","bundle":"https://pith.science/pith/WLDDDQALSNY5YYA3X2TD3OK2GR/bundle.json","state":"https://pith.science/pith/WLDDDQALSNY5YYA3X2TD3OK2GR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WLDDDQALSNY5YYA3X2TD3OK2GR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WLDDDQALSNY5YYA3X2TD3OK2GR","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":"5a2e9de4613069eea9cb972c725741b370439c845c30ff66a9d5b21a7bebd63a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-02-02T12:52:39Z","title_canon_sha256":"d2703e0f1ec8a6202f914b31b9ccdc96465b6a1309203a0d69d76b3b344e4207"},"schema_version":"1.0","source":{"id":"1102.0419","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0419","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0419v2","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0419","created_at":"2026-05-18T04:19:21Z"},{"alias_kind":"pith_short_12","alias_value":"WLDDDQALSNY5","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WLDDDQALSNY5YYA3","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WLDDDQAL","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:bcae21584af45caf990a9ea1d81a70613cd8eb85098e4a904a19f3656b7a3f75","target":"graph","created_at":"2026-05-18T04:19:21Z","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":"Based on our previous work on the differential geometry for the closed string double field theory, we construct a Yang-Mills action which is covariant under O(D,D) T-duality rotation and invariant under three-types of gauge transformations: non-Abelian Yang-Mills, diffeomorphism and one-form gauge symmetries. In double field formulation, in a manifestly covariant manner our action couples a single O(D,D) vector potential to the closed string double field theory. In terms of undoubled component fields, it couples a usual Yang-Mills gauge field to an additional one-form field and also to the clo","authors_text":"Imtak Jeon, Jeong-Hyuck Park, Kanghoon Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-02-02T12:52:39Z","title":"Double field formulation of Yang-Mills theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0419","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:c39cdcec96188aabcb283096c9f9b4b3e1ca02bdc7ba2737782871b7a6df45f1","target":"record","created_at":"2026-05-18T04:19:21Z","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":"5a2e9de4613069eea9cb972c725741b370439c845c30ff66a9d5b21a7bebd63a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-02-02T12:52:39Z","title_canon_sha256":"d2703e0f1ec8a6202f914b31b9ccdc96465b6a1309203a0d69d76b3b344e4207"},"schema_version":"1.0","source":{"id":"1102.0419","kind":"arxiv","version":2}},"canonical_sha256":"b2c631c00b9371dc601bbea63db95a34403bb56be485bce2e29f7d063f6da91c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2c631c00b9371dc601bbea63db95a34403bb56be485bce2e29f7d063f6da91c","first_computed_at":"2026-05-18T04:19:21.842859Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:21.842859Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CjjHGuxdGITEMe54agcWZMSlXluaNj0kSWI5meM46rU+XJirc4n+c0A3Ai2mOVdL6Kg+OZG7LYIGuq+xdRxaBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:21.843447Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.0419","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c39cdcec96188aabcb283096c9f9b4b3e1ca02bdc7ba2737782871b7a6df45f1","sha256:bcae21584af45caf990a9ea1d81a70613cd8eb85098e4a904a19f3656b7a3f75"],"state_sha256":"ed0d1136920bd11f3bc2a5687dd74f921c789bebe1f1d4f9298a0a5c6ddad763"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e0n4wYhYEXI3/XMN/cN7v+jjkRHATK+AZMXVhHI+xn2AUGOXXO/CH7W6mqUkci9c3RVP/pY6kNl7SkTeEpv6CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T12:42:37.917648Z","bundle_sha256":"e41c900ea3c4d59dacb6830abfcfcdc814fffd0ec76710b8ddfe4c453aa6c7fc"}}