{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UBN7FSS7KWQV2IILEP3XWQW3BZ","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":"b6c7d9d0dafa3c252740062f1a5f2cdac9692a73978dae584f2f979a0f6bec08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-11-04T07:27:53Z","title_canon_sha256":"64cca63bba13d32bef694a524e05d150f9eb3ab75402440cdcb840a30e3aca62"},"schema_version":"1.0","source":{"id":"1711.02516","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.02516","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"1711.02516v2","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02516","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"UBN7FSS7KWQV","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UBN7FSS7KWQV2IIL","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UBN7FSS7","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:db4b567a0e9250c2023596113a9fc887a49244018de2434ef97a9b429c5fa25c","target":"graph","created_at":"2026-05-18T00:29:45Z","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 initial-boundary value problem of the Kundu-Eckhaus equation on the half-line by using of the Fokas unified transform method. Assuming that the solution $u(x,t)$ exists, we show that it can be expressed in terms of the unique solution of a matrix Riemann-Hilbert problem formulated in the plane of the complex spectral parameter $\\lambda$. Moreover, we also get there exist spectral functions are not independent and they are satisfying the so-called global relation.","authors_text":"Beibei Hu, Ning Zhang, Tiecheng Xia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-11-04T07:27:53Z","title":"A Riemann-Hilbert Approach to the Kundu-Eckhaus Equation on the half-Line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02516","kind":"arxiv","version":2},"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":"sha256:71b0bf9c17d3ca6ce089f00be97627e81eaa80dc72658d4309b55f59bb627021","target":"record","created_at":"2026-05-18T00:29:45Z","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":"b6c7d9d0dafa3c252740062f1a5f2cdac9692a73978dae584f2f979a0f6bec08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2017-11-04T07:27:53Z","title_canon_sha256":"64cca63bba13d32bef694a524e05d150f9eb3ab75402440cdcb840a30e3aca62"},"schema_version":"1.0","source":{"id":"1711.02516","kind":"arxiv","version":2}},"canonical_sha256":"a05bf2ca5f55a15d210b23f77b42db0e79802dc183ff49db3dedb40a6aee3ede","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a05bf2ca5f55a15d210b23f77b42db0e79802dc183ff49db3dedb40a6aee3ede","first_computed_at":"2026-05-18T00:29:45.274592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:45.274592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9o1m/u9iP4ThVlffIClmyymlIe1THPVu82TeoHGVR1RHChD1AfEX76gsyTSg8dfoJYSwKADV/FQGL4HL2e6oDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:45.275119Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.02516","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71b0bf9c17d3ca6ce089f00be97627e81eaa80dc72658d4309b55f59bb627021","sha256:db4b567a0e9250c2023596113a9fc887a49244018de2434ef97a9b429c5fa25c"],"state_sha256":"fcd6bb28ffe7822bce635936bc8e1dee2b3bf1900263a5afcc9d94fa2376b464"}