{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4TFM2ULCGP76BLAIFJSKW2CLB4","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":"77d850de05197234a0538b3a825f7729b485dd7573d7fdd4f1f93aabbc9aac02","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-11-09T21:05:23Z","title_canon_sha256":"9201ec10053501e1a2959bfba38a85d6422ddbfc20d2986db77e95d972922b9a"},"schema_version":"1.0","source":{"id":"1511.02885","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02885","created_at":"2026-05-18T01:14:02Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02885v1","created_at":"2026-05-18T01:14:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02885","created_at":"2026-05-18T01:14:02Z"},{"alias_kind":"pith_short_12","alias_value":"4TFM2ULCGP76","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4TFM2ULCGP76BLAI","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4TFM2ULC","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:bbdf3ca74c0d8252eddb144528f2d41b0c38bc754c0c1739b78ec0d5749b2966","target":"graph","created_at":"2026-05-18T01:14:02Z","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 present a rigorous theory of the inverse scattering transform (IST) for the three-component defocusing nonlinear Schrodinger (NLS) equation with initial conditions approaching constant values with the same amplitude as $x\\to\\pm\\infty$. The theory combines and extends to a problem with non-zero boundary conditions three fundamental ideas: (i) the tensor approach used by Beals, Deift and Tomei for $n$-th order scattering problems, (ii) the triangular decompositions of the scattering matrix used by Novikov, Manakov, Pitaevski and Zakharov for the $N$-wave interaction equations, and (iii) a gen","authors_text":"Barbara Prinari, Daniel Kraus, Gino Biondini","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-11-09T21:05:23Z","title":"The three-component defocusing nonlinear Schrodinger equation with nonzero boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02885","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:ab140e1328f128058cda8252b1e666a5f399c0587a556745d25fdce89e816d1a","target":"record","created_at":"2026-05-18T01:14:02Z","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":"77d850de05197234a0538b3a825f7729b485dd7573d7fdd4f1f93aabbc9aac02","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-11-09T21:05:23Z","title_canon_sha256":"9201ec10053501e1a2959bfba38a85d6422ddbfc20d2986db77e95d972922b9a"},"schema_version":"1.0","source":{"id":"1511.02885","kind":"arxiv","version":1}},"canonical_sha256":"e4cacd516233ffe0ac082a64ab684b0f1157c8a85bd7200ba84e1ba4a7ec721e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4cacd516233ffe0ac082a64ab684b0f1157c8a85bd7200ba84e1ba4a7ec721e","first_computed_at":"2026-05-18T01:14:02.517072Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:02.517072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DJ8JC+3nOjTqpXBI65qXDZ9A8TrMFPSS2e1dwK99KSqhIkIE52momuOlkKlkfOgTd20DTTeRaJnFCLs3Qs1iDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:02.517587Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.02885","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab140e1328f128058cda8252b1e666a5f399c0587a556745d25fdce89e816d1a","sha256:bbdf3ca74c0d8252eddb144528f2d41b0c38bc754c0c1739b78ec0d5749b2966"],"state_sha256":"1e4fa5ddd0fc9f99c83635e48f626bb63573033a6a769564e5bf8b1f20b6de55"}