{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PQ343DFJ535AJFSQZUVKRFWQM2","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":"c0487a7ca1c86431154eb2df7016293b0508fe5b0786f576ce20b29512f1fb6f","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2019-11-30T13:34:09Z","title_canon_sha256":"115fec51586dff186d0ac95924fa8864624813412d8c278e645400ea252baf7e"},"schema_version":"1.0","source":{"id":"1912.00203","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.00203","created_at":"2026-07-05T01:02:06Z"},{"alias_kind":"arxiv_version","alias_value":"1912.00203v1","created_at":"2026-07-05T01:02:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.00203","created_at":"2026-07-05T01:02:06Z"},{"alias_kind":"pith_short_12","alias_value":"PQ343DFJ535A","created_at":"2026-07-05T01:02:06Z"},{"alias_kind":"pith_short_16","alias_value":"PQ343DFJ535AJFSQ","created_at":"2026-07-05T01:02:06Z"},{"alias_kind":"pith_short_8","alias_value":"PQ343DFJ","created_at":"2026-07-05T01:02:06Z"}],"graph_snapshots":[{"event_id":"sha256:df3b55b1f3cfe8600314f8f018e2b7dee12cc67b3b11e25d0e08c053c0db6040","target":"graph","created_at":"2026-07-05T01:02:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.00203/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Direct scattering transform of nonlinear wave fields with solitons may lead to anomalous numerical errors of soliton phase and position parameters. With the focusing one-dimensional nonlinear Schr\\\"odinger equation serving as a model, we investigate this fundamental issue theoretically. Using the dressing method we find the landscape of soliton scattering coefficients in the plane of the complex spectral parameter for multi-soliton wave fields truncated within a finite domain, allowing us to capture the nature of particular numerical errors. They depend on the size of the computational domain ","authors_text":"Andrey Gelash, Rustam Mullyadzhanov","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2019-11-30T13:34:09Z","title":"Direct scattering transform: catch soliton if you can"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.00203","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:d419c119998614c3ec9659120d93e0b486f9ae623ce728c97c5d0f9e36b283e8","target":"record","created_at":"2026-07-05T01:02:06Z","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":"c0487a7ca1c86431154eb2df7016293b0508fe5b0786f576ce20b29512f1fb6f","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2019-11-30T13:34:09Z","title_canon_sha256":"115fec51586dff186d0ac95924fa8864624813412d8c278e645400ea252baf7e"},"schema_version":"1.0","source":{"id":"1912.00203","kind":"arxiv","version":1}},"canonical_sha256":"7c37cd8ca9eefa049650cd2aa896d0669400408e50e96473b5ea95de146c0114","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c37cd8ca9eefa049650cd2aa896d0669400408e50e96473b5ea95de146c0114","first_computed_at":"2026-07-05T01:02:06.697957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:02:06.697957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rA5zIWhYjzcepfTjCqU+dM2dWQZL9gggPJyEs/u1tDRJ7uQcpbiWAL9qpnWqzzefnzut6DY033eCuXjPyjjSDA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:02:06.698555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.00203","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d419c119998614c3ec9659120d93e0b486f9ae623ce728c97c5d0f9e36b283e8","sha256:df3b55b1f3cfe8600314f8f018e2b7dee12cc67b3b11e25d0e08c053c0db6040"],"state_sha256":"28a41a8e25dc00e20f1e684ee4daa7f4e80ff54567329564d363769273367416"}