{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JNF6B56PLFPVHLQTIAEYA6SNPP","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":"05b750d0fe2051bbceff54d6c238a7661f2f2337c3c7053816bcaf527942e097","cross_cats_sorted":["math-ph","math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-09-19T13:06:55Z","title_canon_sha256":"d5c89f78fca686536e2abf2fd0a3ac00f0ee5f0f76e568a97d633a1a02612504"},"schema_version":"1.0","source":{"id":"1509.05886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05886","created_at":"2026-05-18T00:47:37Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05886v1","created_at":"2026-05-18T00:47:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05886","created_at":"2026-05-18T00:47:37Z"},{"alias_kind":"pith_short_12","alias_value":"JNF6B56PLFPV","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JNF6B56PLFPVHLQT","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JNF6B56P","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:025111dc51b3cccc7df3e3c09396a5127683da68135df728fac9ed9c1ae99337","target":"graph","created_at":"2026-05-18T00:47:37Z","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 analytically study rogue-wave (RW) solutions and rational solitons of an integrable fifth-order nonlinear Schr\\\"odinger (FONLS) equation with three free parameters. It includes, as particular cases, the usual NLS, Hirota, and Lakshmanan-Porsezian-Daniel (LPD) equations. We present continuous-wave (CW) solutions and conditions for their modulation instability in the framework of this model. Applying the Darboux transformation to the CW input, novel first- and second-order RW solutions of the FONLS equation are analytically found. In particular, trajectories of motion of peaks and depressions","authors_text":"Boris A. Malomed, Yunqing Yang, Zhenya Yan","cross_cats":["math-ph","math.MP","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-09-19T13:06:55Z","title":"Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schroedinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05886","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":"sha256:90d441e0b31cf030988c277ef8a07994f86fb24127d18cb281ce7d96488a23f2","target":"record","created_at":"2026-05-18T00:47:37Z","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":"05b750d0fe2051bbceff54d6c238a7661f2f2337c3c7053816bcaf527942e097","cross_cats_sorted":["math-ph","math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-09-19T13:06:55Z","title_canon_sha256":"d5c89f78fca686536e2abf2fd0a3ac00f0ee5f0f76e568a97d633a1a02612504"},"schema_version":"1.0","source":{"id":"1509.05886","kind":"arxiv","version":1}},"canonical_sha256":"4b4be0f7cf595f53ae134009807a4d7be7a453f70a7c6c398fe5ddab6f3869ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b4be0f7cf595f53ae134009807a4d7be7a453f70a7c6c398fe5ddab6f3869ef","first_computed_at":"2026-05-18T00:47:37.056088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:37.056088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ulb41rO4YEiILssHUQdpbAhLgzDMRxMKER3+aMS1+Aqk9KPOd+k7nUzUEYC3Ts0/R2Nmj+lymf6SrtPwqrtoDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:37.056588Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.05886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90d441e0b31cf030988c277ef8a07994f86fb24127d18cb281ce7d96488a23f2","sha256:025111dc51b3cccc7df3e3c09396a5127683da68135df728fac9ed9c1ae99337"],"state_sha256":"6d8dc88d20c6c395cc3e82aaab1c6aad627ba8c2b6f23345f9fc570dbdccb99a"}