{"as_of":"2026-08-13T23:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:60cdfcb9a8f36ea066c13759aa6f4f78616d90121a7731f576148896830ef89b","coverage":[{"denominator":56,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":56,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T18:47:16.169307Z","state":"measured"},{"denominator":56,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":56,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2502.00540/citation-record","integrity":"/paper/2502.00540/integrity","json":"/paper/2502.00540/citation-record.json","paper":"/paper/2502.00540"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.824755Z","title":"(eds.) Abramowitz M., Handbook of mathematical functions, 10 ed., NBS, 1972","venue":null,"work_id":"2402b09f-4715-4b3d-86ef-da958f7d657d","year":1972},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:15.961143Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:9c3c883327eeb3fea42769e0a8136fb18a5cb68738ae5813104a22e7b4533d83","observation_id":"637d4933-64fd-46aa-a527-cab4f0f3067c","resolution":{"observed_at":"2026-08-09T18:47:16.828628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.813813Z","title":null,"venue":null,"work_id":"a69eb420-cfe1-4bca-950f-dddb84a945a4","year":2015},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:15.965808Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:1c635ff37b0f8cdc4b20f5890158bb086cbe1a075daa4e776216c491ceed5a5d","observation_id":"dbf15666-9650-478d-aec0-76abc82d30eb","resolution":{"observed_at":"2026-08-09T18:47:16.817419Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.802266Z","title":"Belibassakis, The Green’s function of the mild-slope equation: The case of a monotonic bed profile, Wave Motion 32 (2000), 339–361","venue":null,"work_id":"1924f720-34ef-4015-98f1-50dd677ed0fd","year":2000},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:15.969869Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:a33cd0d979db00c2124a6701e1fee4031bacabfb4dad1ecf801049030388da97","observation_id":"51e9eea4-277f-4414-b59a-2c42aa3a908e","resolution":{"observed_at":"2026-08-09T18:47:16.806410Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.791318Z","title":"Belibassakis and G.A","venue":null,"work_id":"3ca37c86-c0e7-4316-aca0-f5898dc4c7ad","year":2004},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:15.973654Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:97a3f56b963c477d7f118e75480780dac7c412f143b803806cc7d3ac738c3c8b","observation_id":"76561e9b-93e7-407d-b561-b981aa11a62f","resolution":{"observed_at":"2026-08-09T18:47:16.795105Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.779632Z","title":"Belibassakis, G.A","venue":null,"work_id":"58aba74d-6eaa-4856-90da-240b3ff0f563","year":2001},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:15.977835Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:02cc88c86b084b34c304c3fe7f8abb17bc9b412213e12d8f79a45006e396a7ca","observation_id":"fbb6106a-3e98-4e7a-ba52-11d1fa670422","resolution":{"observed_at":"2026-08-09T18:47:16.783460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.768090Z","title":"Beltrami, G","venue":null,"work_id":"a51df840-2b39-443f-8ac7-b3e3ffa55988","year":2001},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:15.982209Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:525acf2df7a76160fc9c87963e37fbed148e19b586b6745fbda8d75dd06addda","observation_id":"6b2e05ea-d329-4a88-900d-abe2020ed427","resolution":{"observed_at":"2026-08-09T18:47:16.771752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.756855Z","title":"Bergmann, The equation in a medium with a variable index of refraction, The Journal of the Acoustical Society of America 17 (1946), no","venue":null,"work_id":"892b9394-b529-418e-8d21-2ebea7ee7dd3","year":1946},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:15.986469Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:da43d494d4a75bd7a9d79f744dc2cd91f074139befa10ce4b0b37e9b2dfa2cb3","observation_id":"31881a83-bd74-4c1b-a552-286de72327ff","resolution":{"observed_at":"2026-08-09T18:47:16.760916Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.745958Z","title":"Berkhoff, N","venue":null,"work_id":"f8e973a8-9a5a-4da1-afc0-06cd32031b9a","year":1982},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:15.990204Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:7dff4688e293a4f8304b32efaafb7f88548f24aa46c95cecbb7af87a0da3eefd","observation_id":"e4022018-e126-46cc-ae43-ec8691f9b7bd","resolution":{"observed_at":"2026-08-09T18:47:16.749829Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.734235Z","title":"Berkhoff, Computation of combined refraction - diffraction, Proceedings of 13th International Conference on Coastal Engineering, ASCE, 1972","venue":null,"work_id":"372a1f36-48c5-4f21-87a1-49b65022f862","year":1972},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:15.994293Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:82024c98136606c9c15836f064d4f490b334b27f006c993f0c514fc6d0b0e807","observation_id":"d9b84e37-4db7-4617-8ab8-df976f321256","resolution":{"observed_at":"2026-08-09T18:47:16.738342Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.722550Z","title":"wave diffraction and refraction, Ph.D","venue":null,"work_id":"f4a43823-d483-4b36-bb4c-2c4321cc8839","year":1976},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:15.998207Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:4685ae6e72440270848f7180b98ae07d1c83e12aa037c8de17229279eec67035","observation_id":"e60b30c7-c3a8-47da-ad6d-bb847f1e112d","resolution":{"observed_at":"2026-08-09T18:47:16.726474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.710251Z","title":"Bettess and O","venue":null,"work_id":"4f4c0a72-2b2e-48b7-98cc-bc9b63316cff","year":1977},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.002003Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:6ef2e2a3be4b452f6c4cca716352d7a86950a4c6e99d73725b26a7f2cde6920a","observation_id":"e4387150-54bb-4e9e-8c8b-5df488973645","resolution":{"observed_at":"2026-08-09T18:47:16.714783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.698329Z","title":null,"venue":null,"work_id":"82f511e3-c42b-4508-8ad4-b7ee8962c054","year":2013},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.005958Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:80917034c2c7d85a61966a6675ebe0c9274c634f15fd21622e93619081226104","observation_id":"28f9cd2e-8842-4a8d-8ebe-a8ccd2761746","resolution":{"observed_at":"2026-08-09T18:47:16.702256Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.686321Z","title":"Booij, A note on the accuracy of the mild-slope equation, Coastal Engineering 7 (1983), no","venue":null,"work_id":"0499562b-a2e9-4976-a7d2-0e843083fb1f","year":1983},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.009738Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:26d958249afdbd9a1bf57f0731197ff3701c24b3d9aa146e87bc7ebc93ee6a71","observation_id":"5a235f2a-82f4-4040-9e6f-6a801f21adbc","resolution":{"observed_at":"2026-08-09T18:47:16.690514Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.674620Z","title":"Chamberlain and D","venue":null,"work_id":"3cf6497b-4456-4ad4-a6a5-6a9748f592ff","year":1995},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.013442Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:fda6fde91f8f543741f9a2bef66d512609a0c1b119d61ea1c9a9f470ec689ce0","observation_id":"033177a5-ee2d-4e3a-a2be-ea1a7b920563","resolution":{"observed_at":"2026-08-09T18:47:16.678684Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.662942Z","title":"Chandrasekera and Kwok Fai Cheung, Extended linear refraction-diffraction model , Journal of Waterway, Port, Coastal, and Ocean Engineering123 (1997), no","venue":null,"work_id":"3edde4ed-54d0-4bfb-8632-03d9bb42ebb5","year":1997},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.017088Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:655e5e0072b1356be110af189f50c5d09f89f35246090fe39d6eb24c8229b5d1","observation_id":"417c80f8-39e5-4f59-b69e-ce81bf9efbae","resolution":{"observed_at":"2026-08-09T18:47:16.667117Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.651646Z","title":"Chen, Effects of bottom friction and boundary absorption on water wave scattering, Applied Ocean Research 8 (1986), no","venue":null,"work_id":"bbfe60b4-d4a4-423e-aa73-8bc31dd02215","year":1986},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.021149Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:5fff0fc046859a5ffaa92d68f481f47d3e751ffeeb9705bcdcb71a5531bdfae1","observation_id":"0d8ed9f6-1ded-4494-9774-59d133fb975d","resolution":{"observed_at":"2026-08-09T18:47:16.655692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.639923Z","title":"Chen and C.C","venue":null,"work_id":"ee76364b-8b98-4174-b96b-76f81bfa83a7","year":1974},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.024940Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:f0580ae7daa23f5c885181afed2e186ab02b8c6b758f942727ef9038a4de957d","observation_id":"d16b7569-f29c-45f8-b1e6-71675af413e2","resolution":{"observed_at":"2026-08-09T18:47:16.643766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.627983Z","title":"thesis, Department of Civil Engineering, University of Maine, August 2002","venue":null,"work_id":"288024d2-ce6a-4441-be48-f5053de445eb","year":2002},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.028844Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:8f1ea0c6cf842244db9886cec4a7f691d3e3be5455e078589729a0fb7d2cb5c0","observation_id":"84edfde1-071d-4cd3-806c-ad52e5ef431a","resolution":{"observed_at":"2026-08-09T18:47:16.632157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.616272Z","title":"mild-slope","venue":null,"work_id":"8c2e5b64-e198-49db-bfdd-fa3220c1fbea","year":1985},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.032702Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:116fe300f4a480e2cf85c33755b33ac9eba0159ce97529d187abb194168657ce","observation_id":"7df44818-fb5d-4bf3-98b8-eee1f2bf2562","resolution":{"observed_at":"2026-08-09T18:47:16.620399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.605169Z","title":null,"venue":null,"work_id":"a96d2329-21fb-485f-9fc1-359147e30229","year":1993},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.036573Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:7cedb5948a5ead506eb897221b2c4add87263eccbab4cf19393d53704cd87556","observation_id":"a15d89cf-abef-4c51-89b0-13afd363797e","resolution":{"observed_at":"2026-08-09T18:47:16.609130Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.593697Z","title":"1, 1 – 29","venue":null,"work_id":"710d3bad-ad39-4315-ae03-3b7098366729","year":1991},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.040111Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:2e32b83b768e0b0bba472cf9ff5b112b2e0eac419e327bf8a51c44b421f75e3a","observation_id":"d2468cc5-1e42-4600-8ca0-bc3fef92db33","resolution":{"observed_at":"2026-08-09T18:47:16.597759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.581691Z","title":"Keller, Non-reflecting boundary conditions for elastic waves, Wave Motion 12 (1990), no","venue":null,"work_id":"632faaeb-8e52-414c-bab1-7bce3f0de771","year":1990},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.044237Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:7ff149d304cf5c87bc06b7c4e9882afbb29fea1a038e2f4c159c4683a9a864df","observation_id":"e94e2b06-d74f-4662-b94d-6f9c9836019b","resolution":{"observed_at":"2026-08-09T18:47:16.585822Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.569960Z","title":"Hauguel, A combined FE-BIE method for water waves, 16th International Conference on Coastal Engineering, 1978, pp","venue":null,"work_id":"bf761395-8d72-4820-8d71-4b4bc02121fe","year":1978},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.048092Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:f74c08d9f46a2d533245fde607642fdd2f931f6fcd999c1ee6c33a7ba07fe08e","observation_id":"a8a33713-d951-44e8-a2e7-2b96ab3b86ef","resolution":{"observed_at":"2026-08-09T18:47:16.573918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.558809Z","title":"11, 1246 – 1257","venue":null,"work_id":"da53aa12-1b35-45a2-812a-3594e4cde051","year":2009},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.051818Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:357a094cecd65ecf7dbbde3c2e233e7282c19873e21ffea044c57f340fc82bdb","observation_id":"f47b89bf-f9b7-4562-8a51-7e9769dd549b","resolution":{"observed_at":"2026-08-09T18:47:16.562584Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.547948Z","title":null,"venue":null,"work_id":"e4c5718e-acfc-4641-a8e0-a4f8f3593c15","year":2000},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.055493Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:bff5d8c3f6aed806408066e7ff5df8008a9d29f20fa439595010e63c20156e86","observation_id":"3924b5d7-0b9e-4974-9e89-82e93e5420c7","resolution":{"observed_at":"2026-08-09T18:47:16.551663Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.536437Z","title":"11, 1479 – 1498","venue":null,"work_id":"af121d13-6d10-4a48-bed9-6ef1c6546641","year":2001},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.059075Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:a8477bc3666ba11b1ad7c39de4745a07710aad352fcd907155a140ab57a54e70","observation_id":"01c9b9b7-eb59-43a1-b2da-dbdc910ee15e","resolution":{"observed_at":"2026-08-09T18:47:16.540507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.524623Z","title":"3–4, 281 – 298","venue":null,"work_id":"1237cebc-7308-4106-a715-698090c2a875","year":1997},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.062788Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:c73ded6c5cf33ffd27863cd6b7ae3db8db1372be5e3039eb30969d733a46f4b5","observation_id":"d499bc41-e3a5-4657-978c-af8250f44258","resolution":{"observed_at":"2026-08-09T18:47:16.528896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.513172Z","title":"3, 193 – 214","venue":null,"work_id":"54168692-1a8f-4145-99a9-7ab84f7c0ba3","year":1990},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.066500Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:84feb3f14301c7e8e2bc16173369c51f3445834b249fedf4eca3fe5d946b67bf","observation_id":"d65e6363-9e06-4785-8402-6af5d0496166","resolution":{"observed_at":"2026-08-09T18:47:16.517354Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.501505Z","title":"Keller and Dan Givoli, Exact non-reflecting boundary conditions, Journal of Computational Physics 82 (1989), no","venue":null,"work_id":"37ee2824-6963-4374-8679-e07cfcd45e68","year":1989},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.070246Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:749926c244e06f0db9c9ae13c1dcc4891a1b857e09a14ac813e6ad727438e2a4","observation_id":"4d817a4b-b9e1-4b64-85a2-7f8f440d7e52","resolution":{"observed_at":"2026-08-09T18:47:16.505695Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.489699Z","title":"Kirby,A general wave equation for waves over rippled beds, Journal of Fluid Mechanics 162 (1986), 171 – 186","venue":null,"work_id":"a7ef08f7-530c-494b-a0bb-925c6dce7611","year":1986},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.074223Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:ae169cd4e3c13150247120e2bdc68ef1c43813473660efd42a701c94561f1c37","observation_id":"1cdbb016-dcca-489f-ba9a-15fb7bd3437c","resolution":{"observed_at":"2026-08-09T18:47:16.493961Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.478905Z","title":"Lau and Z","venue":null,"work_id":"09279ede-ca33-4fd9-a83e-4fd47f8d3d6e","year":1989},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.077936Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:226334426fb5c2acb9b7db63675e69a4d76b460ea8ab229dae4bea64b17a344b","observation_id":"8773d67e-133b-43e7-8ad7-04d4624d210b","resolution":{"observed_at":"2026-08-09T18:47:16.482562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.469003Z","title":null,"venue":null,"work_id":"6eb69d40-e8a4-4575-b0ed-6e854f8168f6","year":1998},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.081664Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:7a343d13fc42914325d3ffc51a69ffdc63c4a75a7c0ed76b580a3a8433677805","observation_id":"f50b6759-f704-437e-b9fa-b3dcfcc8870b","resolution":{"observed_at":"2026-08-09T18:47:16.471835Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.457733Z","title":"Wang, and Sieun Eom, Boundary element modeling of multidirectional random waves in a harbor with a rectangular navigation channel, Ocean Engineering 36 (2009), no","venue":null,"work_id":"346095db-ce20-45e1-9472-910edba08e73","year":2009},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.085455Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:ad9b46b4ac18052702e6a26e4de3536077aa5abc832f6a2cfd1d62fa5103a1d4","observation_id":"f49faa8e-c57f-438d-9a4a-324dc58ac64c","resolution":{"observed_at":"2026-08-09T18:47:16.461381Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.447781Z","title":"1, 39 – 58","venue":null,"work_id":"7cd2e78c-bad2-4e9a-a4f1-b85b52ecf9da","year":2002},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.089129Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:194e158133e3da6ffc7efc205179e72c4044efd32cab2347ea1a53b38dcf1171","observation_id":"a68ad493-6546-4ba1-9153-bdea5423f647","resolution":{"observed_at":"2026-08-09T18:47:16.451157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.437805Z","title":"Li and K","venue":null,"work_id":"0b5d94a9-ea79-450d-94be-5d3e79cf484f","year":1992},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.092842Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:1e02e339d64ff84494a8a665f1a8d32ab573db0b515d3927a5798fd1c000ec04","observation_id":"4c5f3ec3-909b-4edf-bb10-2c9af97391d4","resolution":{"observed_at":"2026-08-09T18:47:16.441325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.427819Z","title":"3, 227 – 242","venue":null,"work_id":"5cab7e21-64c7-4a22-bfa0-3edd46d0b1a4","year":1994},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.096691Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:b043456a5b5cc39261ccdcf07e1f84566e6717cbfb5052cbcd54feb32f65b130","observation_id":"4760819e-d96b-4a52-98ff-b7ba5e403daa","resolution":{"observed_at":"2026-08-09T18:47:16.431081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.417845Z","title":null,"venue":null,"work_id":"18ea587f-17f7-4fb8-ba9b-fb3ed04be8ba","year":2003},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.100480Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:41e7991364644f51f741f395c424c539ec1db4323e062b19659b7202cfe92770","observation_id":"072dcbaa-fe5e-4532-92f5-4dd6f1a82e00","resolution":{"observed_at":"2026-08-09T18:47:16.421282Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.407053Z","title":"12, 2775 – 2791","venue":null,"work_id":"c0e3a866-fcb7-43dc-8740-896422b1538a","year":2008},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.104389Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:c417b2d0142c96a86269adfaaf4be352312779f19386b572ff31d2eb571e4e2e","observation_id":"0cfe35b6-bf6c-40f2-83a3-cd39f48fc41f","resolution":{"observed_at":"2026-08-09T18:47:16.410366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.395863Z","title":"Maa, T.-W","venue":null,"work_id":"fc6546b4-e541-4743-b40f-d79eac6c6b65","year":2002},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.107966Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:578b8194b73564f705f9c4ab907d55d29dd968f31efe9ef61dff6f0011ce3e0b","observation_id":"ad9cd4b0-de5d-41a1-9467-1b81d3064a02","resolution":{"observed_at":"2026-08-09T18:47:16.399529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.385204Z","title":"Massel, Extended refraction-diffraction equation for surface waves, Coastal Engineering 19 (1993), 97 – 126","venue":null,"work_id":"47c44b64-5166-4ac0-a045-a91dc11b2a3e","year":1993},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.111506Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:5f385bb61fa41aa1ae05a03a41d257c3b995907d0a45ffa7614e217a9c876315","observation_id":"0e6be7e7-db8e-431b-ba84-aee94ae438fc","resolution":{"observed_at":"2026-08-09T18:47:16.388870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.374335Z","title":"McCamy and R.A","venue":null,"work_id":"ff747980-a7da-47bf-a186-9e13fb6030c9","year":1954},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.114848Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:1d680d21577be2c52c73d9260aa9b69715c2b95c5de51fc511a1025df18d749f","observation_id":"a9ba9dd5-e518-4575-98ba-0c8ed43203be","resolution":{"observed_at":"2026-08-09T18:47:16.377800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.363809Z","title":"Mei, The applied dynamics of ocean surface waves, John Wiley, Chichester, 1983","venue":null,"work_id":"91e71730-3d23-405b-8607-da13b98a6035","year":1983},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.118423Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:451383a41b65649b69923b6613e9731991361dfd010752fb75945163faf9d042","observation_id":"34902d17-4caa-4818-afd5-48b5a43c069e","resolution":{"observed_at":"2026-08-09T18:47:16.367349Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.353127Z","title":"Naserizadeh, H","venue":null,"work_id":"e4149a4c-ec58-4b53-bafe-98b1e3469f14","year":2011},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.121984Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:ed6137b2c6cb82646ba46237ab1fd8735f19113cd2525aea944cfc526f554105","observation_id":"3a61dd5b-5e82-46a3-9e6d-834421568af0","resolution":{"observed_at":"2026-08-09T18:47:16.357036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.341606Z","title":"Panchang, B","venue":null,"work_id":"ff1578d5-ad68-437b-b632-098663a20336","year":2000},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.125654Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:190f352c9c609dea5cd2010d004d32b24b244914e74b4fc4eca49c81a81539dc","observation_id":"c2c57a35-b05a-45e4-96cf-81d40ec90787","resolution":{"observed_at":"2026-08-09T18:47:16.345734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.330248Z","title":"Panchang, Bryan R","venue":null,"work_id":"1ceeb82b-6856-46be-8422-9227d8b702e2","year":1991},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.129246Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:0297b293f9281e5bbe7479ad4cb183a3050c8034e5ef6a9f8a3c3389faeb55f5","observation_id":"a97856ed-ae24-4698-aa79-3d9639233893","resolution":{"observed_at":"2026-08-09T18:47:16.334101Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.317952Z","title":"Porter and D.J","venue":null,"work_id":"d1a98410-3f34-494c-9f36-454a06079556","year":1995},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.133621Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:87e074bf50a87053ba5fa1bb7064a21e893047da67967ddabf07fd9e5b64cec6","observation_id":"8033dff1-cabc-42fa-85f9-b3b64fa6c388","resolution":{"observed_at":"2026-08-09T18:47:16.322136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.306682Z","title":"Rodríguez-Tembleque, José A","venue":null,"work_id":"47f2cd17-c68f-4114-b8e8-652cbadc6d63","year":2015},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.137216Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:b9ff914dea6a6f282fe271ec5924e999bb3cef34232993478dbd043ee14d87ea","observation_id":"3c0de436-79cb-4688-9db0-05588a07dadd","resolution":{"observed_at":"2026-08-09T18:47:16.310424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.295631Z","title":"Shaw and W","venue":null,"work_id":"b7e3eacb-55ad-472f-80eb-c99abf793fc5","year":1978},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.140767Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:a5bcb28429dcf366b0f7974a716b7511d9e35b6b37b1340bd09b8f623d107bff","observation_id":"aa603556-0521-4332-8e22-f49eab1d18af","resolution":{"observed_at":"2026-08-09T18:47:16.299298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.283255Z","title":"Steward and V","venue":null,"work_id":"a841bd75-b774-438b-b29c-5ac94c887f45","year":2001},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.144313Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:1e6a8a93def85350dfdaa53c8af91b3742f35982f5ead30254acc5b73dd13e51","observation_id":"52400cfd-435d-4a6f-b2f7-5ee7ebab478f","resolution":{"observed_at":"2026-08-09T18:47:16.287076Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.272124Z","title":null,"venue":null,"work_id":"3fc99522-6658-4c32-bf50-52c66336b3bc","year":1997},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.147868Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:e6c1644eda83e9f5310a851416238214ff5165ba1c1b2f3b5083935ca6565606","observation_id":"6d5e960c-9a5a-4fa5-a299-c57088b0f067","resolution":{"observed_at":"2026-08-09T18:47:16.275709Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.260506Z","title":null,"venue":null,"work_id":"2ea4a654-968c-49e2-8cf2-a3af46178de7","year":1989},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.151316Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:b494cffa9c25f7aaa0cb44f11271cac8efe761e344349065eed19f64b3ba658f","observation_id":"8b8a7f0e-8c95-4b05-8318-c20bbc2bd319","resolution":{"observed_at":"2026-08-09T18:47:16.264556Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.248488Z","title":"Liu,A finite element model for wave refraction and diffraction, Applied Ocean Research 5 (1983), no","venue":null,"work_id":"410a4081-77d1-4844-b2af-bc0e11dbdb15","year":1983},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.154780Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:33685198fcdb9709ae3b7088c38673aae467fa193cb7dd191b7506ce9c78a7f5","observation_id":"348634e9-2b74-487d-8b74-c158d922fdc1","resolution":{"observed_at":"2026-08-09T18:47:16.252740Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.235616Z","title":"Wu,Boundary element acoustics, fundamentals and computer codes, 5 ed., vol","venue":null,"work_id":"c52a1d9a-6292-4c6a-9c15-d12a239e0389","year":2000},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.158407Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:b2c27419758b4038e494c81823d201aff55090ccbe3279a92c872c6ca4658b1f","observation_id":"0616ccf1-e793-4329-9eb9-ae2cdc8a74d7","resolution":{"observed_at":"2026-08-09T18:47:16.240567Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.222474Z","title":"Zhu, A new DRBEM model for wave refraction and diffraction, Engineering Analysis with Boundary Elements 12 (1993), no","venue":null,"work_id":"8f495144-db6a-46be-b492-4f50a3b09cf6","year":1993},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.162002Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:b519f0da4366f5150a460761e6705f0d7100411daf0fbd422489323cdf113a1e","observation_id":"737d08db-2e01-4da1-92e3-26be42ecac79","resolution":{"observed_at":"2026-08-09T18:47:16.226712Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.210439Z","title":"5, 377 – 390","venue":null,"work_id":"83ee135a-9dbf-46f1-9570-19c806af20b6","year":2000},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.165689Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:1cc4f2bc75bfb8ad69fbbcb8d2b85053f68203dc192fad94d3c36d0bfc7570fe","observation_id":"04dc0989-100f-44b6-9d17-7967826c4d6b","resolution":{"observed_at":"2026-08-09T18:47:16.214215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T18:47:16.196844Z","title":"Marchant, A perturbation DRBEM model for weakly nonlinear wave run-ups around islands, Engineering Analysis with Boundary Elements 33 (2009), no","venue":null,"work_id":"38d1f4f8-9620-4bd1-9386-1d05c07eaa18","year":2009},"citing_paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-09T18:47:16.169307Z"},"links":{"citing_paper":"/paper/2502.00540"},"observation_digest":"sha256:3417d6c4db77fd77971c7b88f84c20cadf06fb33f01f631e98ec858a227fc48f","observation_id":"a5cdcea5-2ffe-4ae3-9378-c33843dc00d5","resolution":{"observed_at":"2026-08-09T18:47:16.202715Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.00540","last_updated":"2025-02-01T19:50:15Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-12T22:09:08.220233Z","submitted_at":"2025-02-01T19:50:15Z","title":"Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries"},"reference_resolution":{"displayed":56,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":48},"total_outbound_references":56},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2502.00540."}