{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YYL3Z2NVA7HMVMVQGVUINVRQ3Q","short_pith_number":"pith:YYL3Z2NV","schema_version":"1.0","canonical_sha256":"c617bce9b507cecab2b0356886d630dc27df653dd4f6cf7bcfc40433f26c99d7","source":{"kind":"arxiv","id":"1707.09536","version":2},"attestation_state":"computed","paper":{"title":"Integrability and linear stability of nonlinear waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Antonio Degasperis, Matteo Sommacal, Sara Lombardo","submitted_at":"2017-07-29T16:27:35Z","abstract_excerpt":"It is well known that the linear stability of solutions of partial differential equations which are integrable can be very efficiently investigated by means of spectral methods. We present here a direct construction of the eigenmodes of the linearized equation by using only their associated Lax pair with no reference to spectral data and boundary conditions. This local construction is given in the general $N \\times N$ matrix scheme so as to be applicable to a large class of integrable equations, including the multicomponent nonlinear Schroedinger system and the multi-wave resonant interaction "},"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":"1707.09536","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-07-29T16:27:35Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5659a0d3af137ed1c23af84f9d4ab9d1dc620e8fca87c4edefa5d4825262d219","abstract_canon_sha256":"5a55894264911099d635a3b598aa0d68b5fd493d2d0772cf9158789ff6a3feab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:11.064717Z","signature_b64":"ZXwUXQ3GgE764hIo5p1gRTLK67zEWR2SVtymQsdCnAjibZOQmWCBkM7q8I3l/P46TPrn1/3tnm+OOXQdOOK+Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c617bce9b507cecab2b0356886d630dc27df653dd4f6cf7bcfc40433f26c99d7","last_reissued_at":"2026-05-18T00:13:11.063947Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:11.063947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integrability and linear stability of nonlinear waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Antonio Degasperis, Matteo Sommacal, Sara Lombardo","submitted_at":"2017-07-29T16:27:35Z","abstract_excerpt":"It is well known that the linear stability of solutions of partial differential equations which are integrable can be very efficiently investigated by means of spectral methods. We present here a direct construction of the eigenmodes of the linearized equation by using only their associated Lax pair with no reference to spectral data and boundary conditions. This local construction is given in the general $N \\times N$ matrix scheme so as to be applicable to a large class of integrable equations, including the multicomponent nonlinear Schroedinger system and the multi-wave resonant interaction "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09536","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1707.09536","created_at":"2026-05-18T00:13:11.064075+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.09536v2","created_at":"2026-05-18T00:13:11.064075+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09536","created_at":"2026-05-18T00:13:11.064075+00:00"},{"alias_kind":"pith_short_12","alias_value":"YYL3Z2NVA7HM","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"YYL3Z2NVA7HMVMVQ","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"YYL3Z2NV","created_at":"2026-05-18T12:31:59.375834+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/YYL3Z2NVA7HMVMVQGVUINVRQ3Q","json":"https://pith.science/pith/YYL3Z2NVA7HMVMVQGVUINVRQ3Q.json","graph_json":"https://pith.science/api/pith-number/YYL3Z2NVA7HMVMVQGVUINVRQ3Q/graph.json","events_json":"https://pith.science/api/pith-number/YYL3Z2NVA7HMVMVQGVUINVRQ3Q/events.json","paper":"https://pith.science/paper/YYL3Z2NV"},"agent_actions":{"view_html":"https://pith.science/pith/YYL3Z2NVA7HMVMVQGVUINVRQ3Q","download_json":"https://pith.science/pith/YYL3Z2NVA7HMVMVQGVUINVRQ3Q.json","view_paper":"https://pith.science/paper/YYL3Z2NV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.09536&json=true","fetch_graph":"https://pith.science/api/pith-number/YYL3Z2NVA7HMVMVQGVUINVRQ3Q/graph.json","fetch_events":"https://pith.science/api/pith-number/YYL3Z2NVA7HMVMVQGVUINVRQ3Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YYL3Z2NVA7HMVMVQGVUINVRQ3Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YYL3Z2NVA7HMVMVQGVUINVRQ3Q/action/storage_attestation","attest_author":"https://pith.science/pith/YYL3Z2NVA7HMVMVQGVUINVRQ3Q/action/author_attestation","sign_citation":"https://pith.science/pith/YYL3Z2NVA7HMVMVQGVUINVRQ3Q/action/citation_signature","submit_replication":"https://pith.science/pith/YYL3Z2NVA7HMVMVQGVUINVRQ3Q/action/replication_record"}},"created_at":"2026-05-18T00:13:11.064075+00:00","updated_at":"2026-05-18T00:13:11.064075+00:00"}