{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:J2FDNZMMSWB6PY76GGLSNEUJLY","short_pith_number":"pith:J2FDNZMM","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"},"canonical_sha256":"4e8a36e58c9583e7e3fe31972692895e11fb32dbe15e27e0197048a1f4e0d8dd","source":{"kind":"arxiv","id":"hep-th/0406065","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0406065","created_at":"2026-07-04T17:24:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0406065v1","created_at":"2026-07-04T17:24:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0406065","created_at":"2026-07-04T17:24:44Z"},{"alias_kind":"pith_short_12","alias_value":"J2FDNZMMSWB6","created_at":"2026-07-04T17:24:44Z"},{"alias_kind":"pith_short_16","alias_value":"J2FDNZMMSWB6PY76","created_at":"2026-07-04T17:24:44Z"},{"alias_kind":"pith_short_8","alias_value":"J2FDNZMM","created_at":"2026-07-04T17:24:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:J2FDNZMMSWB6PY76GGLSNEUJLY","target":"record","payload":{"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"},"canonical_sha256":"4e8a36e58c9583e7e3fe31972692895e11fb32dbe15e27e0197048a1f4e0d8dd","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"},"source_kind":"arxiv","source_id":"hep-th/0406065","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:24:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xhQjz/efuzhfMkZJOUz40dDOrG8OFuZmWPB66RWwUnC8cK3BCiFM2+Arx/oXnRryXkl530a5/UShQEnGMnJ4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T06:51:26.122081Z"},"content_sha256":"9cfd94d3b2e8358b8984556b352ae3032b3e102cf55e7446b757592b123b478c","schema_version":"1.0","event_id":"sha256:9cfd94d3b2e8358b8984556b352ae3032b3e102cf55e7446b757592b123b478c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:J2FDNZMMSWB6PY76GGLSNEUJLY","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:24:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"utMJN1skO03WXc6Mtfj2j6dgk2KV/BDVNTz+OMrBgfDyRv6x6r7zpm1oFn1MCrM+Cr9Mg02vkAGrcIueqtgsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T06:51:26.122462Z"},"content_sha256":"904707bb8751b64cb22cc03ff68bc14c031f94cd6ac65b06f54a852b6e05ba2d","schema_version":"1.0","event_id":"sha256:904707bb8751b64cb22cc03ff68bc14c031f94cd6ac65b06f54a852b6e05ba2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY/bundle.json","state_url":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J2FDNZMMSWB6PY76GGLSNEUJLY/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":"2026-07-05T06:51:26Z","links":{"resolver":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY","bundle":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY/bundle.json","state":"https://pith.science/pith/J2FDNZMMSWB6PY76GGLSNEUJLY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J2FDNZMMSWB6PY76GGLSNEUJLY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:J2FDNZMMSWB6PY76GGLSNEUJLY","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":"047d42e23d37eee8e7467e365c4217431f920d126c7115a2a7aef05d930cd8b3","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-06-07T13:56:43Z","title_canon_sha256":"978be405211bdfd58146e744832a5c199faac5fa5d3b02d78fa7054a964f6513"},"schema_version":"1.0","source":{"id":"hep-th/0406065","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0406065","created_at":"2026-07-04T17:24:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0406065v1","created_at":"2026-07-04T17:24:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0406065","created_at":"2026-07-04T17:24:44Z"},{"alias_kind":"pith_short_12","alias_value":"J2FDNZMMSWB6","created_at":"2026-07-04T17:24:44Z"},{"alias_kind":"pith_short_16","alias_value":"J2FDNZMMSWB6PY76","created_at":"2026-07-04T17:24:44Z"},{"alias_kind":"pith_short_8","alias_value":"J2FDNZMM","created_at":"2026-07-04T17:24:44Z"}],"graph_snapshots":[{"event_id":"sha256:904707bb8751b64cb22cc03ff68bc14c031f94cd6ac65b06f54a852b6e05ba2d","target":"graph","created_at":"2026-07-04T17:24:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0406065/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Alexander D. Popov, Laura Tamassia, Liuba Mazzanti, Olaf Lechtenfeld, Silvia Penati","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-06-07T13:56:43Z","title":"Integrable Noncommutative Sine-Gordon Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0406065","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":"sha256:9cfd94d3b2e8358b8984556b352ae3032b3e102cf55e7446b757592b123b478c","target":"record","created_at":"2026-07-04T17:24:44Z","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":"047d42e23d37eee8e7467e365c4217431f920d126c7115a2a7aef05d930cd8b3","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2004-06-07T13:56:43Z","title_canon_sha256":"978be405211bdfd58146e744832a5c199faac5fa5d3b02d78fa7054a964f6513"},"schema_version":"1.0","source":{"id":"hep-th/0406065","kind":"arxiv","version":1}},"canonical_sha256":"4e8a36e58c9583e7e3fe31972692895e11fb32dbe15e27e0197048a1f4e0d8dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e8a36e58c9583e7e3fe31972692895e11fb32dbe15e27e0197048a1f4e0d8dd","first_computed_at":"2026-07-04T17:24:44.705817Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:24:44.705817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ztTwXa+WtekEgSxJCNbJkB7kZneNyPa2rsIpfuh0nJo+y7Rpz6Ah6krRSCee88mxHFUnzdMx5P9vk3gIo6RBw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:24:44.706234Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0406065","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cfd94d3b2e8358b8984556b352ae3032b3e102cf55e7446b757592b123b478c","sha256:904707bb8751b64cb22cc03ff68bc14c031f94cd6ac65b06f54a852b6e05ba2d"],"state_sha256":"e21eab0c9bbc94266d6282c3e2f7d36cff0f0a75263165d98c7e5f83a5ee8770"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qw1B+9aab3PXraKzB6vOYdd4rjwP5lEe9iyP5wveAnWZIf0vVp7oRVyTSQCzmLDQI5rU4leP45rZgpu7SDIMCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T06:51:26.124631Z","bundle_sha256":"06714a6b6ee981abf4f1905857b2b289b54090e67341f4f7ab91672bc61826b3"}}