{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UCIFHGSVX6IOQBJIXYYEHO7REA","short_pith_number":"pith:UCIFHGSV","canonical_record":{"source":{"id":"1604.08559","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-28T18:55:30Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"33981b5ea5dd063324d7ee80b6f0e4a53a1c4f52b2cfe5fdf497fc6cb8bf9384","abstract_canon_sha256":"76ab907b061f8e83272992b919c8d6b64d3273e902edc24e61f87e165f431ad7"},"schema_version":"1.0"},"canonical_sha256":"a090539a55bf90e80528be3043bbf12019884c1989210b3e2b47a940055be7f3","source":{"kind":"arxiv","id":"1604.08559","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.08559","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"arxiv_version","alias_value":"1604.08559v1","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.08559","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"pith_short_12","alias_value":"UCIFHGSVX6IO","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UCIFHGSVX6IOQBJI","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UCIFHGSV","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UCIFHGSVX6IOQBJIXYYEHO7REA","target":"record","payload":{"canonical_record":{"source":{"id":"1604.08559","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-28T18:55:30Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"33981b5ea5dd063324d7ee80b6f0e4a53a1c4f52b2cfe5fdf497fc6cb8bf9384","abstract_canon_sha256":"76ab907b061f8e83272992b919c8d6b64d3273e902edc24e61f87e165f431ad7"},"schema_version":"1.0"},"canonical_sha256":"a090539a55bf90e80528be3043bbf12019884c1989210b3e2b47a940055be7f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:42.699353Z","signature_b64":"XyhcKfCzQqTS60kTysrBIB+A/Tg3jaaEsUgbcNJ70RB4VWmYN6BRECqqOur8FJY1RsFVbCbbScpcEV7N7rQQCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a090539a55bf90e80528be3043bbf12019884c1989210b3e2b47a940055be7f3","last_reissued_at":"2026-05-18T01:01:42.698688Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:42.698688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.08559","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":"2026-05-18T01:01:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K6/dXL/mU4mLvEs04vApVfCLd6IW79ovfmv66v65ylx3lwkldWrKNY+08LfC5QZ6eloe5Xh8yaCh8e8aQS/XCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T21:49:04.634293Z"},"content_sha256":"564933ee6ef441d9f7f74ad122ee727848f258e58b177e061f12cad81b824af8","schema_version":"1.0","event_id":"sha256:564933ee6ef441d9f7f74ad122ee727848f258e58b177e061f12cad81b824af8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UCIFHGSVX6IOQBJIXYYEHO7REA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the (in)validity of the NLS-KdV system in the study of water waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Chuangye Liu, Nghiem V. Nguyen","submitted_at":"2016-04-28T18:55:30Z","abstract_excerpt":"It is universally accepted that the cubic, nonlinear Schrodinger equation (NLS) models the dynamics of narrow-bandwidth wave packets consisting of short dispersive waves, while the Kortewegde Vries equation (KdV) models the propagation of long waves in dispersive media. A system that couples the two equations seems attractive to model the interaction of long and short waves and such a system has been studied over the last few decades. However, questions about the validity of the system in the study of water waves were raised in our previous work where we presented our analysis using the fifth"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.08559","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":"2026-05-18T01:01:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PKtRYprm5A2MFjBy3B3wuQmrBQ/Kgd6vAigZ8xSY4Zt9P0YsK5u70YrADBaMWsnjKMI9DICWSJiU+Xvq6KfgDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T21:49:04.634652Z"},"content_sha256":"91ca02e858b118885a82840b5444a9ff35fe94c07ba2ad489a640645a6dc2683","schema_version":"1.0","event_id":"sha256:91ca02e858b118885a82840b5444a9ff35fe94c07ba2ad489a640645a6dc2683"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UCIFHGSVX6IOQBJIXYYEHO7REA/bundle.json","state_url":"https://pith.science/pith/UCIFHGSVX6IOQBJIXYYEHO7REA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UCIFHGSVX6IOQBJIXYYEHO7REA/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":"2026-06-08T21:49:04Z","links":{"resolver":"https://pith.science/pith/UCIFHGSVX6IOQBJIXYYEHO7REA","bundle":"https://pith.science/pith/UCIFHGSVX6IOQBJIXYYEHO7REA/bundle.json","state":"https://pith.science/pith/UCIFHGSVX6IOQBJIXYYEHO7REA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UCIFHGSVX6IOQBJIXYYEHO7REA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UCIFHGSVX6IOQBJIXYYEHO7REA","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":"76ab907b061f8e83272992b919c8d6b64d3273e902edc24e61f87e165f431ad7","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-28T18:55:30Z","title_canon_sha256":"33981b5ea5dd063324d7ee80b6f0e4a53a1c4f52b2cfe5fdf497fc6cb8bf9384"},"schema_version":"1.0","source":{"id":"1604.08559","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.08559","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"arxiv_version","alias_value":"1604.08559v1","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.08559","created_at":"2026-05-18T01:01:42Z"},{"alias_kind":"pith_short_12","alias_value":"UCIFHGSVX6IO","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UCIFHGSVX6IOQBJI","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UCIFHGSV","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:91ca02e858b118885a82840b5444a9ff35fe94c07ba2ad489a640645a6dc2683","target":"graph","created_at":"2026-05-18T01:01:42Z","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":"It is universally accepted that the cubic, nonlinear Schrodinger equation (NLS) models the dynamics of narrow-bandwidth wave packets consisting of short dispersive waves, while the Kortewegde Vries equation (KdV) models the propagation of long waves in dispersive media. A system that couples the two equations seems attractive to model the interaction of long and short waves and such a system has been studied over the last few decades. However, questions about the validity of the system in the study of water waves were raised in our previous work where we presented our analysis using the fifth","authors_text":"Chuangye Liu, Nghiem V. Nguyen","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-28T18:55:30Z","title":"On the (in)validity of the NLS-KdV system in the study of water waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.08559","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":"sha256:564933ee6ef441d9f7f74ad122ee727848f258e58b177e061f12cad81b824af8","target":"record","created_at":"2026-05-18T01:01:42Z","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":"76ab907b061f8e83272992b919c8d6b64d3273e902edc24e61f87e165f431ad7","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-04-28T18:55:30Z","title_canon_sha256":"33981b5ea5dd063324d7ee80b6f0e4a53a1c4f52b2cfe5fdf497fc6cb8bf9384"},"schema_version":"1.0","source":{"id":"1604.08559","kind":"arxiv","version":1}},"canonical_sha256":"a090539a55bf90e80528be3043bbf12019884c1989210b3e2b47a940055be7f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a090539a55bf90e80528be3043bbf12019884c1989210b3e2b47a940055be7f3","first_computed_at":"2026-05-18T01:01:42.698688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:42.698688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XyhcKfCzQqTS60kTysrBIB+A/Tg3jaaEsUgbcNJ70RB4VWmYN6BRECqqOur8FJY1RsFVbCbbScpcEV7N7rQQCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:42.699353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.08559","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:564933ee6ef441d9f7f74ad122ee727848f258e58b177e061f12cad81b824af8","sha256:91ca02e858b118885a82840b5444a9ff35fe94c07ba2ad489a640645a6dc2683"],"state_sha256":"d3d65a9376ad3f95b3738ebc7bffcd935a827142fa1a3034348e9261989a29bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EonwrpsUSeYxc04Yl+BxNnfdFyoew/GVUrnUGs+7miD4MBp4hqsk0BgGeQPjglR26ayHo2/x+4YppvQn8+qrBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T21:49:04.636505Z","bundle_sha256":"68ffea5c6e82e57444ab7b480900612d9e42cb4d11c5911254d1cf3a0dc91502"}}