{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HGC4GZ65EF5KM4NK5TMJM2NCKJ","short_pith_number":"pith:HGC4GZ65","canonical_record":{"source":{"id":"1711.06579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-11-17T15:05:01Z","cross_cats_sorted":["math-ph","math.DS","math.MP","nlin.SI"],"title_canon_sha256":"09fb4a1dddc7c73f76023171ce80713dff23415559f6357e6385e052ed1666b7","abstract_canon_sha256":"a43127e2b492df166a140ee88b0cf6d0900f734a34d541b4979825f80aabfcef"},"schema_version":"1.0"},"canonical_sha256":"3985c367dd217aa671aaecd89669a2524aa0cafba4510bf49d795d44a0ce2ba2","source":{"kind":"arxiv","id":"1711.06579","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.06579","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"arxiv_version","alias_value":"1711.06579v1","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06579","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"pith_short_12","alias_value":"HGC4GZ65EF5K","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HGC4GZ65EF5KM4NK","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HGC4GZ65","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HGC4GZ65EF5KM4NK5TMJM2NCKJ","target":"record","payload":{"canonical_record":{"source":{"id":"1711.06579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-11-17T15:05:01Z","cross_cats_sorted":["math-ph","math.DS","math.MP","nlin.SI"],"title_canon_sha256":"09fb4a1dddc7c73f76023171ce80713dff23415559f6357e6385e052ed1666b7","abstract_canon_sha256":"a43127e2b492df166a140ee88b0cf6d0900f734a34d541b4979825f80aabfcef"},"schema_version":"1.0"},"canonical_sha256":"3985c367dd217aa671aaecd89669a2524aa0cafba4510bf49d795d44a0ce2ba2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:25.180370Z","signature_b64":"z8SOk6yp1pHvyREE23D3gFZ1Vg78Mccpnd+9/sA/RufxFqvPIZ/CCcIB1SbS2Qq0CNJiJWxRKmwqsrp6Q0MNCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3985c367dd217aa671aaecd89669a2524aa0cafba4510bf49d795d44a0ce2ba2","last_reissued_at":"2026-05-18T00:19:25.179878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:25.179878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.06579","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":"2026-05-18T00:19:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sZa4+v01FSw4+/t8APWoki1jPM9tmwlff94gU2mB9+i1IEiyEYejcXlJFKIk/hTtizzA4MBoO+AdNf7H3u1eBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:30:52.583267Z"},"content_sha256":"190a278b09473a38dc6521c911267b443f10dcee7cb02b6133110b226fcc6377","schema_version":"1.0","event_id":"sha256:190a278b09473a38dc6521c911267b443f10dcee7cb02b6133110b226fcc6377"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HGC4GZ65EF5KM4NK5TMJM2NCKJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rogue periodic waves of the focusing NLS equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP","nlin.SI"],"primary_cat":"nlin.PS","authors_text":"Dmitry E. Pelinovsky, Jinbing Chen","submitted_at":"2017-11-17T15:05:01Z","abstract_excerpt":"Rogue waves on the periodic background are considered for the nonlinear Schrodinger (NLS) equation in the focusing case. The two periodic wave solutions are expressed by the Jacobian elliptic functions dn and cn. Both periodic waves are modulationally unstable with respect to long-wave perturbations. Exact solutions for the rogue waves on the periodic background are constructed by using the explicit expressions for the periodic eigenfunctions of the Zakharov-Shabat spectral problem and the Darboux transformations. These exact solutions labeled as rogue periodic waves generalize the classical r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06579","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":""},"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":"2026-05-18T00:19:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GbSak4qnadZuVNYd7KQq/5Vvfw8O7eQCG8V9HB//pxWEoljtVLQU6V8KlaIsvCxpT8dGBSHYHITyi/QOMgXrCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:30:52.583872Z"},"content_sha256":"b19698febc5e98cb8602261efb9cd177b20b587b0b9aea1a0cdd35a5c7d72370","schema_version":"1.0","event_id":"sha256:b19698febc5e98cb8602261efb9cd177b20b587b0b9aea1a0cdd35a5c7d72370"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HGC4GZ65EF5KM4NK5TMJM2NCKJ/bundle.json","state_url":"https://pith.science/pith/HGC4GZ65EF5KM4NK5TMJM2NCKJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HGC4GZ65EF5KM4NK5TMJM2NCKJ/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":"2026-05-27T08:30:52Z","links":{"resolver":"https://pith.science/pith/HGC4GZ65EF5KM4NK5TMJM2NCKJ","bundle":"https://pith.science/pith/HGC4GZ65EF5KM4NK5TMJM2NCKJ/bundle.json","state":"https://pith.science/pith/HGC4GZ65EF5KM4NK5TMJM2NCKJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HGC4GZ65EF5KM4NK5TMJM2NCKJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HGC4GZ65EF5KM4NK5TMJM2NCKJ","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":"a43127e2b492df166a140ee88b0cf6d0900f734a34d541b4979825f80aabfcef","cross_cats_sorted":["math-ph","math.DS","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-11-17T15:05:01Z","title_canon_sha256":"09fb4a1dddc7c73f76023171ce80713dff23415559f6357e6385e052ed1666b7"},"schema_version":"1.0","source":{"id":"1711.06579","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.06579","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"arxiv_version","alias_value":"1711.06579v1","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06579","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"pith_short_12","alias_value":"HGC4GZ65EF5K","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HGC4GZ65EF5KM4NK","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HGC4GZ65","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:b19698febc5e98cb8602261efb9cd177b20b587b0b9aea1a0cdd35a5c7d72370","target":"graph","created_at":"2026-05-18T00:19:25Z","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":"Rogue waves on the periodic background are considered for the nonlinear Schrodinger (NLS) equation in the focusing case. The two periodic wave solutions are expressed by the Jacobian elliptic functions dn and cn. Both periodic waves are modulationally unstable with respect to long-wave perturbations. Exact solutions for the rogue waves on the periodic background are constructed by using the explicit expressions for the periodic eigenfunctions of the Zakharov-Shabat spectral problem and the Darboux transformations. These exact solutions labeled as rogue periodic waves generalize the classical r","authors_text":"Dmitry E. Pelinovsky, Jinbing Chen","cross_cats":["math-ph","math.DS","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-11-17T15:05:01Z","title":"Rogue periodic waves of the focusing NLS equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06579","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":"sha256:190a278b09473a38dc6521c911267b443f10dcee7cb02b6133110b226fcc6377","target":"record","created_at":"2026-05-18T00:19:25Z","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":"a43127e2b492df166a140ee88b0cf6d0900f734a34d541b4979825f80aabfcef","cross_cats_sorted":["math-ph","math.DS","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-11-17T15:05:01Z","title_canon_sha256":"09fb4a1dddc7c73f76023171ce80713dff23415559f6357e6385e052ed1666b7"},"schema_version":"1.0","source":{"id":"1711.06579","kind":"arxiv","version":1}},"canonical_sha256":"3985c367dd217aa671aaecd89669a2524aa0cafba4510bf49d795d44a0ce2ba2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3985c367dd217aa671aaecd89669a2524aa0cafba4510bf49d795d44a0ce2ba2","first_computed_at":"2026-05-18T00:19:25.179878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:25.179878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z8SOk6yp1pHvyREE23D3gFZ1Vg78Mccpnd+9/sA/RufxFqvPIZ/CCcIB1SbS2Qq0CNJiJWxRKmwqsrp6Q0MNCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:25.180370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.06579","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:190a278b09473a38dc6521c911267b443f10dcee7cb02b6133110b226fcc6377","sha256:b19698febc5e98cb8602261efb9cd177b20b587b0b9aea1a0cdd35a5c7d72370"],"state_sha256":"8e5727fa5f1f3ef6205e66ec38995704831ef64262ab52f423f74f10a0ef5261"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3CQbeHin7ePc/xGyVE4qCvrOVNBnrqD1kHEsL2zK/RXEFg7lFUlvP0K3SA+3hjFOwwyQ1mZmShXyabK8ZsoaDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T08:30:52.587238Z","bundle_sha256":"c91468b04a07b1383bc0ef2b28e84e814d8a4e13f7ecec5f95e805e136a2a66e"}}