{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HXJU37E3IIK4VADLSWK56JGKHI","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":"47ca3748be484957127149361b2544faa0df54631986be9f218ca971605936d4","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-14T17:11:46Z","title_canon_sha256":"7da9fea164712823b322418477180b146e48ea1c032e450c9c038cd54f261976"},"schema_version":"1.0","source":{"id":"1404.3657","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3657","created_at":"2026-05-18T01:43:34Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3657v1","created_at":"2026-05-18T01:43:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3657","created_at":"2026-05-18T01:43:34Z"},{"alias_kind":"pith_short_12","alias_value":"HXJU37E3IIK4","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HXJU37E3IIK4VADL","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HXJU37E3","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:939e1fcc1d2e97b8e0d47482b6972786c1390e8dbc09411d4d9905e8646016f2","target":"graph","created_at":"2026-05-18T01:43:34Z","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 derive the gravity duals of noncommutative gauge theories from the Yang-Baxter sigma model description of the AdS_5xS^5 superstring with classical r-matrices. The corresponding classical r-matrices are 1) solutions of the classical Yang-Baxter equation (CYBE), 2) skew-symmetric, 3) nilpotent and 4) abelian. Hence these should be called abelian Jordanian deformations. As a result, the gravity duals are shown to be integrable deformations of AdS_5xS^5. Then, abelian twists of AdS_5 are also investigated. These results provide a support for the gravity/CYBE correspondence proposed in arXiv:140","authors_text":"Kentaroh Yoshida, Takuya Matsumoto","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-14T17:11:46Z","title":"Integrability of classical strings dual for noncommutative gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3657","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:f7c940e1b7fd6a3e51be93ca9640a0f2bfe166745ea4bfd0e20c492f4f66c81c","target":"record","created_at":"2026-05-18T01:43:34Z","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":"47ca3748be484957127149361b2544faa0df54631986be9f218ca971605936d4","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-04-14T17:11:46Z","title_canon_sha256":"7da9fea164712823b322418477180b146e48ea1c032e450c9c038cd54f261976"},"schema_version":"1.0","source":{"id":"1404.3657","kind":"arxiv","version":1}},"canonical_sha256":"3dd34dfc9b4215ca806b9595df24ca3a1b63130ae581b5ad03d3f5187794ba6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3dd34dfc9b4215ca806b9595df24ca3a1b63130ae581b5ad03d3f5187794ba6a","first_computed_at":"2026-05-18T01:43:34.832501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:34.832501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zgGlgaa/PiAr53YoYS0PcXIycPpcINYSuAAjialx4N8Nu5osLxpIOZ5VnJXHtVh0LjP9QcjgDZ45sAk9S3wSDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:34.833153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.3657","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7c940e1b7fd6a3e51be93ca9640a0f2bfe166745ea4bfd0e20c492f4f66c81c","sha256:939e1fcc1d2e97b8e0d47482b6972786c1390e8dbc09411d4d9905e8646016f2"],"state_sha256":"f14b7a4189880b0bdf978a862a7a43ffc8fb3d3d11eb036319d29b9d2a6ff3af"}