{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LCY7TLSBI2UMRS23RNMIR7T7NY","short_pith_number":"pith:LCY7TLSB","canonical_record":{"source":{"id":"1601.00209","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-01-02T19:02:04Z","cross_cats_sorted":["nlin.CD","physics.ao-ph","physics.flu-dyn"],"title_canon_sha256":"8a664f6b5cad8ea703a26f0d121d99a2d8e73b3f663644969e56ae0845db2ce6","abstract_canon_sha256":"9cb323b7c001a430e93649c1cbe276f0841a774eeebfcf2eb47d61b939f2be81"},"schema_version":"1.0"},"canonical_sha256":"58b1f9ae4146a8c8cb5b8b5888fe7f6e2b8c30082122656195d53e113163bae9","source":{"kind":"arxiv","id":"1601.00209","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00209","created_at":"2026-05-18T01:18:38Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00209v1","created_at":"2026-05-18T01:18:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00209","created_at":"2026-05-18T01:18:38Z"},{"alias_kind":"pith_short_12","alias_value":"LCY7TLSBI2UM","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LCY7TLSBI2UMRS23","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LCY7TLSB","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LCY7TLSBI2UMRS23RNMIR7T7NY","target":"record","payload":{"canonical_record":{"source":{"id":"1601.00209","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-01-02T19:02:04Z","cross_cats_sorted":["nlin.CD","physics.ao-ph","physics.flu-dyn"],"title_canon_sha256":"8a664f6b5cad8ea703a26f0d121d99a2d8e73b3f663644969e56ae0845db2ce6","abstract_canon_sha256":"9cb323b7c001a430e93649c1cbe276f0841a774eeebfcf2eb47d61b939f2be81"},"schema_version":"1.0"},"canonical_sha256":"58b1f9ae4146a8c8cb5b8b5888fe7f6e2b8c30082122656195d53e113163bae9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:38.750582Z","signature_b64":"hgsAdLNaF1w+VbMuA52E8PGzApMCFlVDdnIhVyBdg6T4v6aYBlCS/l1lDWcXVDYo2it6xNws0zHaKiHFcgaUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58b1f9ae4146a8c8cb5b8b5888fe7f6e2b8c30082122656195d53e113163bae9","last_reissued_at":"2026-05-18T01:18:38.750006Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:38.750006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.00209","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":"2026-05-18T01:18:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HSjmQPoV9u0uuVh+RhL7RCpEDEszdG4KzLMJd7x+nbqIV/ItPcrV9TQzaghCE3S3qBN+bfGwFgRkJpuB8S1yAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:32:47.286899Z"},"content_sha256":"63c5aaa0f796e16dda2f43ab4a0c526f64fcea15778ff4997576d8f81e7702d2","schema_version":"1.0","event_id":"sha256:63c5aaa0f796e16dda2f43ab4a0c526f64fcea15778ff4997576d8f81e7702d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LCY7TLSBI2UMRS23RNMIR7T7NY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rogue waves of the Kundu-Eckhaus equation in a chaotic wave field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD","physics.ao-ph","physics.flu-dyn"],"primary_cat":"physics.optics","authors_text":"Cihan Bayindir","submitted_at":"2016-01-02T19:02:04Z","abstract_excerpt":"In this paper we study the properties of the chaotic wave fields generated in the frame of the Kundu-Eckhaus equation (KEE). Modulation instability results in a chaotic wave field which exhibits small-scale filaments with a free propagation constant, k. The average velocity of the filaments is approximately given by the average group velocity calculated from the dispersion relation for the plane-wave solution however direction of propagation is controlled by the $\\beta$ parameter, the constant in front of the Raman-effect term. We have also calculated the probabilities of the rogue wave occurr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00209","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":"2026-05-18T01:18:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lzzgnl+8q6ZtKrA6SnZioVI5tLp/jggQbzl1MkbCCTYUNqP0e6yF9pNigudR9Fwtdch0MwV8Uhb2uDExPdeHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:32:47.287290Z"},"content_sha256":"121b756a1a2d2096848511fef1c0523e94743dc56c6dc9fb645ddb86df070ec2","schema_version":"1.0","event_id":"sha256:121b756a1a2d2096848511fef1c0523e94743dc56c6dc9fb645ddb86df070ec2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LCY7TLSBI2UMRS23RNMIR7T7NY/bundle.json","state_url":"https://pith.science/pith/LCY7TLSBI2UMRS23RNMIR7T7NY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LCY7TLSBI2UMRS23RNMIR7T7NY/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":"2026-06-11T07:32:47Z","links":{"resolver":"https://pith.science/pith/LCY7TLSBI2UMRS23RNMIR7T7NY","bundle":"https://pith.science/pith/LCY7TLSBI2UMRS23RNMIR7T7NY/bundle.json","state":"https://pith.science/pith/LCY7TLSBI2UMRS23RNMIR7T7NY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LCY7TLSBI2UMRS23RNMIR7T7NY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LCY7TLSBI2UMRS23RNMIR7T7NY","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":"9cb323b7c001a430e93649c1cbe276f0841a774eeebfcf2eb47d61b939f2be81","cross_cats_sorted":["nlin.CD","physics.ao-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-01-02T19:02:04Z","title_canon_sha256":"8a664f6b5cad8ea703a26f0d121d99a2d8e73b3f663644969e56ae0845db2ce6"},"schema_version":"1.0","source":{"id":"1601.00209","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00209","created_at":"2026-05-18T01:18:38Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00209v1","created_at":"2026-05-18T01:18:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00209","created_at":"2026-05-18T01:18:38Z"},{"alias_kind":"pith_short_12","alias_value":"LCY7TLSBI2UM","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LCY7TLSBI2UMRS23","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LCY7TLSB","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:121b756a1a2d2096848511fef1c0523e94743dc56c6dc9fb645ddb86df070ec2","target":"graph","created_at":"2026-05-18T01:18:38Z","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":"In this paper we study the properties of the chaotic wave fields generated in the frame of the Kundu-Eckhaus equation (KEE). Modulation instability results in a chaotic wave field which exhibits small-scale filaments with a free propagation constant, k. The average velocity of the filaments is approximately given by the average group velocity calculated from the dispersion relation for the plane-wave solution however direction of propagation is controlled by the $\\beta$ parameter, the constant in front of the Raman-effect term. We have also calculated the probabilities of the rogue wave occurr","authors_text":"Cihan Bayindir","cross_cats":["nlin.CD","physics.ao-ph","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-01-02T19:02:04Z","title":"Rogue waves of the Kundu-Eckhaus equation in a chaotic wave field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00209","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":"sha256:63c5aaa0f796e16dda2f43ab4a0c526f64fcea15778ff4997576d8f81e7702d2","target":"record","created_at":"2026-05-18T01:18:38Z","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":"9cb323b7c001a430e93649c1cbe276f0841a774eeebfcf2eb47d61b939f2be81","cross_cats_sorted":["nlin.CD","physics.ao-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-01-02T19:02:04Z","title_canon_sha256":"8a664f6b5cad8ea703a26f0d121d99a2d8e73b3f663644969e56ae0845db2ce6"},"schema_version":"1.0","source":{"id":"1601.00209","kind":"arxiv","version":1}},"canonical_sha256":"58b1f9ae4146a8c8cb5b8b5888fe7f6e2b8c30082122656195d53e113163bae9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58b1f9ae4146a8c8cb5b8b5888fe7f6e2b8c30082122656195d53e113163bae9","first_computed_at":"2026-05-18T01:18:38.750006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:38.750006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hgsAdLNaF1w+VbMuA52E8PGzApMCFlVDdnIhVyBdg6T4v6aYBlCS/l1lDWcXVDYo2it6xNws0zHaKiHFcgaUDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:38.750582Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00209","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63c5aaa0f796e16dda2f43ab4a0c526f64fcea15778ff4997576d8f81e7702d2","sha256:121b756a1a2d2096848511fef1c0523e94743dc56c6dc9fb645ddb86df070ec2"],"state_sha256":"c450262231189eb04e6431c847623ecf1974862071eeec0354c8028ff537eeb0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fo8tjIPeRZea9xcW39IVzWOMX18nHsBN8cx4PxTpFXd/wFqtq0zr7uUKe5sjwSgCdNZ/eS1QLsxDU7q7KBVpDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T07:32:47.295040Z","bundle_sha256":"2400998451fb4b390e64c43f7c842f21945c3a5a887576cd044fc4ce9e5548e2"}}