{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ERB427GOIYZXE5ODJX6C4N2JIF","short_pith_number":"pith:ERB427GO","canonical_record":{"source":{"id":"1405.7845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-05-30T13:01:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"50ada1b6c0bb37877a1259ef9f88d5c118af4eb4a53bd9085c4b2d65658d3449","abstract_canon_sha256":"d209ba8eb0b6a171d9e6aa7bcb813ef557308b7865b662ef864f2db8ae100545"},"schema_version":"1.0"},"canonical_sha256":"2443cd7cce46337275c34dfc2e3749417d562d06def43bd182b01546fb1961c9","source":{"kind":"arxiv","id":"1405.7845","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7845","created_at":"2026-05-18T01:43:04Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7845v1","created_at":"2026-05-18T01:43:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7845","created_at":"2026-05-18T01:43:04Z"},{"alias_kind":"pith_short_12","alias_value":"ERB427GOIYZX","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"ERB427GOIYZXE5OD","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"ERB427GO","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ERB427GOIYZXE5ODJX6C4N2JIF","target":"record","payload":{"canonical_record":{"source":{"id":"1405.7845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-05-30T13:01:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"50ada1b6c0bb37877a1259ef9f88d5c118af4eb4a53bd9085c4b2d65658d3449","abstract_canon_sha256":"d209ba8eb0b6a171d9e6aa7bcb813ef557308b7865b662ef864f2db8ae100545"},"schema_version":"1.0"},"canonical_sha256":"2443cd7cce46337275c34dfc2e3749417d562d06def43bd182b01546fb1961c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:04.621716Z","signature_b64":"911PTyIMvwAfloUYvU5q/RRf2XhsF9TlQfXKzoU8TdOh/EedDcdDt0SgU1iC+w4Q8gQ7nBvxsCmICmQPfh5zDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2443cd7cce46337275c34dfc2e3749417d562d06def43bd182b01546fb1961c9","last_reissued_at":"2026-05-18T01:43:04.621340Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:04.621340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.7845","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":"2026-05-18T01:43:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t0ypoH4rCforwwwJh0nATJMQYd0GdRIh3xkwuHu1puijwsqr1sP47xwArEJGtYhtE0uzw+/jo9O9dxlDdSrMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T10:08:50.505531Z"},"content_sha256":"5a07386b24560f41bc42196202c1aebf159b51f36586d4a0c8b5acf93061b4a1","schema_version":"1.0","event_id":"sha256:5a07386b24560f41bc42196202c1aebf159b51f36586d4a0c8b5acf93061b4a1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ERB427GOIYZXE5ODJX6C4N2JIF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Few-cycle optical rogue waves:complex modified Korteweg-de Vries equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Jingsong He, K.Porsezian, Lihong Wang, Linjing Li, R.Erd\\'elyi","submitted_at":"2014-05-30T13:01:01Z","abstract_excerpt":"In this paper, we consider the complex modified Korteweg-de Vries (mKdV) equation as a model of few-cycle optical pulses. Using the Lax pair, we construct a generalized Darboux transformation and systematically generate the first-, second- and third-order rogue wave solutions and analyze the nature of evolution of higher-order rogue waves in detail. Based on detailed numerical and analytical investigations, we classify the higher-order rogue waves with respect to their intrinsic structure, namely, fundamental pattern, triangular pattern, and ring pattern. We also present several new patterns o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7845","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":"2026-05-18T01:43:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L+5jXZF8b/I9f0whLfvrjgyE0ueS5G7z2i8WzSx/WuFfiSJwm+i+WmZ2/2n/sSx+YkQWa/KQ9MsX5DHIiArVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T10:08:50.506154Z"},"content_sha256":"f322b382fb178d8474e4022270171aabe9301138630fbbd251048f71d9ef49ae","schema_version":"1.0","event_id":"sha256:f322b382fb178d8474e4022270171aabe9301138630fbbd251048f71d9ef49ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ERB427GOIYZXE5ODJX6C4N2JIF/bundle.json","state_url":"https://pith.science/pith/ERB427GOIYZXE5ODJX6C4N2JIF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ERB427GOIYZXE5ODJX6C4N2JIF/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":"2026-06-06T10:08:50Z","links":{"resolver":"https://pith.science/pith/ERB427GOIYZXE5ODJX6C4N2JIF","bundle":"https://pith.science/pith/ERB427GOIYZXE5ODJX6C4N2JIF/bundle.json","state":"https://pith.science/pith/ERB427GOIYZXE5ODJX6C4N2JIF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ERB427GOIYZXE5ODJX6C4N2JIF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ERB427GOIYZXE5ODJX6C4N2JIF","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":"d209ba8eb0b6a171d9e6aa7bcb813ef557308b7865b662ef864f2db8ae100545","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-05-30T13:01:01Z","title_canon_sha256":"50ada1b6c0bb37877a1259ef9f88d5c118af4eb4a53bd9085c4b2d65658d3449"},"schema_version":"1.0","source":{"id":"1405.7845","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7845","created_at":"2026-05-18T01:43:04Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7845v1","created_at":"2026-05-18T01:43:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7845","created_at":"2026-05-18T01:43:04Z"},{"alias_kind":"pith_short_12","alias_value":"ERB427GOIYZX","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"ERB427GOIYZXE5OD","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"ERB427GO","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:f322b382fb178d8474e4022270171aabe9301138630fbbd251048f71d9ef49ae","target":"graph","created_at":"2026-05-18T01:43:04Z","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 consider the complex modified Korteweg-de Vries (mKdV) equation as a model of few-cycle optical pulses. Using the Lax pair, we construct a generalized Darboux transformation and systematically generate the first-, second- and third-order rogue wave solutions and analyze the nature of evolution of higher-order rogue waves in detail. Based on detailed numerical and analytical investigations, we classify the higher-order rogue waves with respect to their intrinsic structure, namely, fundamental pattern, triangular pattern, and ring pattern. We also present several new patterns o","authors_text":"Jingsong He, K.Porsezian, Lihong Wang, Linjing Li, R.Erd\\'elyi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-05-30T13:01:01Z","title":"Few-cycle optical rogue waves:complex modified Korteweg-de Vries equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7845","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":"sha256:5a07386b24560f41bc42196202c1aebf159b51f36586d4a0c8b5acf93061b4a1","target":"record","created_at":"2026-05-18T01:43:04Z","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":"d209ba8eb0b6a171d9e6aa7bcb813ef557308b7865b662ef864f2db8ae100545","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-05-30T13:01:01Z","title_canon_sha256":"50ada1b6c0bb37877a1259ef9f88d5c118af4eb4a53bd9085c4b2d65658d3449"},"schema_version":"1.0","source":{"id":"1405.7845","kind":"arxiv","version":1}},"canonical_sha256":"2443cd7cce46337275c34dfc2e3749417d562d06def43bd182b01546fb1961c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2443cd7cce46337275c34dfc2e3749417d562d06def43bd182b01546fb1961c9","first_computed_at":"2026-05-18T01:43:04.621340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:04.621340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"911PTyIMvwAfloUYvU5q/RRf2XhsF9TlQfXKzoU8TdOh/EedDcdDt0SgU1iC+w4Q8gQ7nBvxsCmICmQPfh5zDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:04.621716Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.7845","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a07386b24560f41bc42196202c1aebf159b51f36586d4a0c8b5acf93061b4a1","sha256:f322b382fb178d8474e4022270171aabe9301138630fbbd251048f71d9ef49ae"],"state_sha256":"564f76b06e13c32b22a3dea394106360d02af1068ca172c836e0691dd08aea90"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iby/kbFlCghBn1hcjl62isy7tGiVUSvGTKZ+CMjZ9Ui2/h3jZo/Q/6KjQk4TLxtlotSlyU9Ekt8uPKww/cZDAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T10:08:50.510330Z","bundle_sha256":"a1a43abc8f9d2f9fef0d539838927db9f18fc85efe3047cf69b4a32fb3a4d3db"}}