{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:J2FDNZMMSWB6PY76GGLSNEUJLY","short_pith_number":"pith:J2FDNZMM","schema_version":"1.0","canonical_sha256":"4e8a36e58c9583e7e3fe31972692895e11fb32dbe15e27e0197048a1f4e0d8dd","source":{"kind":"arxiv","id":"hep-th/0406065","version":1},"attestation_state":"computed","paper":{"title":"Integrable Noncommutative Sine-Gordon Model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander D. Popov, Laura Tamassia, Liuba Mazzanti, Olaf Lechtenfeld, Silvia Penati","submitted_at":"2004-06-07T13:56:43Z","abstract_excerpt":"Requiring an infinite number of conserved local charges or the existence of an underlying linear system does not uniquely determine the Moyal deformation of 1+1 dimensional integrable field theories. As an example, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model, with some freedom in the noncommutative extension of this algebraic reduction. Relaxing the latter from U(2)->U(1) to U(2)->U(1)xU(1), we arrive at novel noncommutative sine-Gordon equations for a pair of s"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0406065","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-06-07T13:56:43Z","cross_cats_sorted":[],"title_canon_sha256":"978be405211bdfd58146e744832a5c199faac5fa5d3b02d78fa7054a964f6513","abstract_canon_sha256":"047d42e23d37eee8e7467e365c4217431f920d126c7115a2a7aef05d930cd8b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:24:44.706234Z","signature_b64":"0ztTwXa+WtekEgSxJCNbJkB7kZneNyPa2rsIpfuh0nJo+y7Rpz6Ah6krRSCee88mxHFUnzdMx5P9vk3gIo6RBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e8a36e58c9583e7e3fe31972692895e11fb32dbe15e27e0197048a1f4e0d8dd","last_reissued_at":"2026-07-04T17:24:44.705817Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:24:44.705817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integrable Noncommutative Sine-Gordon Model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander D. Popov, Laura Tamassia, Liuba Mazzanti, Olaf Lechtenfeld, Silvia Penati","submitted_at":"2004-06-07T13:56:43Z","abstract_excerpt":"Requiring an infinite number of conserved local charges or the existence of an underlying linear system does not uniquely determine the Moyal deformation of 1+1 dimensional integrable field theories. As an example, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model, with some freedom in the noncommutative extension of this algebraic reduction. Relaxing the latter from U(2)->U(1) to U(2)->U(1)xU(1), we arrive at novel noncommutative sine-Gordon equations for a pair of s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0406065","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0406065/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0406065","created_at":"2026-07-04T17:24:44.705881+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0406065v1","created_at":"2026-07-04T17:24:44.705881+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0406065","created_at":"2026-07-04T17:24:44.705881+00:00"},{"alias_kind":"pith_short_12","alias_value":"J2FDNZMMSWB6","created_at":"2026-07-04T17:24:44.705881+00:00"},{"alias_kind":"pith_short_16","alias_value":"J2FDNZMMSWB6PY76","created_at":"2026-07-04T17:24:44.705881+00:00"},{"alias_kind":"pith_short_8","alias_value":"J2FDNZMM","created_at":"2026-07-04T17:24:44.705881+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY","json":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY.json","graph_json":"https://pith.science/api/pith-number/J2FDNZMMSWB6PY76GGLSNEUJLY/graph.json","events_json":"https://pith.science/api/pith-number/J2FDNZMMSWB6PY76GGLSNEUJLY/events.json","paper":"https://pith.science/paper/J2FDNZMM"},"agent_actions":{"view_html":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY","download_json":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY.json","view_paper":"https://pith.science/paper/J2FDNZMM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0406065&json=true","fetch_graph":"https://pith.science/api/pith-number/J2FDNZMMSWB6PY76GGLSNEUJLY/graph.json","fetch_events":"https://pith.science/api/pith-number/J2FDNZMMSWB6PY76GGLSNEUJLY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY/action/storage_attestation","attest_author":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY/action/author_attestation","sign_citation":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY/action/citation_signature","submit_replication":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY/action/replication_record"}},"created_at":"2026-07-04T17:24:44.705881+00:00","updated_at":"2026-07-04T17:24:44.705881+00:00"}