{"as_of":"2026-08-17T13:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a6ec4fe2d50af4f11c0592aea750ff75a8208834776939a98a642ed7514e1502","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T06:07:25.539197Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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/2606.13337/citation-record","integrity":"/paper/2606.13337/integrity","json":"/paper/2606.13337/citation-record.json","paper":"/paper/2606.13337"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:7a6d70056ef0e7347633ee79997bad2a6c0b93a314a31ef831f4b4a11cc23a2e","observation_id":"3f02e3d8-26e3-4038-8187-2019203e968b","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.09354","last_updated":"2025-01-15T20:19:08Z","snapshot_observed_at":"2026-08-14T15:05:11.637093Z","submitted_at":"2024-11-14T10:55:56Z","title":"Inverse scattering problems for non-linear wave equations on Lorentzian manifolds","version":2},"cited_work":{"arxiv_id":"2411.09354","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.09354","snapshot_observed_at":"2026-07-03T16:08:37.256047Z","title":"Alexakis, H","venue":null,"work_id":"8e31d04b-6530-4540-aeb8-279c4e539fbc","year":2024},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"cited_paper":"/paper/2411.09354","citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:5994c2144204141d8723804b1a215ec754695cec1fa1bad862c7bb33513f4ec6","observation_id":"eb0ff5c0-52af-44df-a456-6f3dbcb4de0f","resolution":{"observed_at":"2026-07-03T16:08:37.257548Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:604a7d78b446852ca69eb7d55289bbfed542b2f7ba8637b0214e74a4e7f1abfb","observation_id":"55d80897-bd7d-418a-b45f-4304ec741b07","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Cakoni and D","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:3d8cfc5fa6c36deb25dc4f1e8a556a7a34eb325f8f4f0c35a86b9ee492b36376","observation_id":"a2b40773-d928-449c-a4aa-17601a812db5","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Cartan.Differential Calculus","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:04fc91c6a7c56d10db52f87eecc00bd9ab786f2b777c77b96b82cbaf7691f312","observation_id":"e037edcc-10f0-4894-8151-0a09ee56d34a","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Colton and R","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:6dd5a0ea7a30fc61be8a8d7d04fd4474444f048883c1437d58b266f712d4ac42","observation_id":"899a12bb-4042-481c-8c52-9f601942d95d","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Eirola, M","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:a720ab2dd2a43874f7f2f12663e0161a0afdee41f2040fc3a0cb84fa2cce38d6","observation_id":"44070926-9f12-4411-b4cd-aaf1704e1016","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Feizmohammadi and L","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:a104e1a094302578b6b6eb9ea855ba1b5287c9266cf78e550ee2cf61bcf3b68d","observation_id":"dc0a6f4b-0c58-471c-8f8b-ff8d2fa51f7f","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Fotopoulos, M","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:b50292465066068a652c33edf53688c97f7310929b2cffa6bd614402221f7029","observation_id":"cab60fea-c596-4ae0-90e0-7d902dab2b78","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:0836faa98e9275e213dc4f154393f223c113d723afefd5044a3050a1133409e1","observation_id":"21713160-2359-4398-8e5b-764fbec8224a","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Gilbarg and N","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:62ca5c4acc67198f07284ba1fc290e27c85b2bfab1787c60a19c8518babe1d65","observation_id":"a7c67259-8597-4a1a-a922-a974e06f5f36","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Greenleaf and G","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:d940ed16eb1972c92859b061bdecde77455d68dda1267c4b973aa5770563696c","observation_id":"e8c4a471-fcc7-48fa-8e61-3ff54444cda3","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Griesmaier, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:76f91bea0d2937625c361fc1fd67abd0b36f289b5522a4fc7d3eab37f5f812ae","observation_id":"a593b135-92b8-4a31-81be-247d592b89b7","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.09671","last_updated":"2024-11-14T18:39:27Z","snapshot_observed_at":"2026-08-16T12:48:38.521919Z","submitted_at":"2024-11-14T18:39:27Z","title":"Inverse Nonlinear Scattering by a Metric","version":1},"cited_work":{"arxiv_id":"2411.09671","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.09671","snapshot_observed_at":"2026-07-03T16:08:37.259000Z","title":"Inverse nonlinear scattering by a metric","venue":null,"work_id":"ec67e3ed-9843-408c-b2eb-f2b40fc5a394","year":2024},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"cited_paper":"/paper/2411.09671","citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:d8e114ac048f2c31ad4ec3da46b444559856c3be82132de5f2f9d9d0fb461401","observation_id":"8998e23c-6dc2-4678-83b9-5d42a91e20eb","resolution":{"observed_at":"2026-07-03T16:08:37.260855Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Hörmander.The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:6c4de923a457d5e194c55a755e18ebed0fddfac5ca52818d91d41c7456d81ac8","observation_id":"b4b3f790-a2a3-432c-891d-ae53cd803708","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"NumericalsolutionoftheR-linearBeltramiequation","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:e29f6ada28d9375f51ee6fb43da0d050a0b531907d74958b18610d1194048bb7","observation_id":"1806ffaa-1502-41e7-aab8-01be9fb889e4","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:953bcdae25559bda37f5859d1374f94aa15545968fb906223c396c19159946b3","observation_id":"0bcaad09-2bda-45e3-a01d-4f6fd31e5fd0","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Kirsch and N","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:cad3c24cb0f644b77c64571f024bcbd6d2fa17a2d146fcfe0a879c529a80d93a","observation_id":"211f3fc5-ba58-4c73-acab-871da39c0d56","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Krupchyk and G","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:9f13597b998bec97a98eda012440f340f86d3bc77156c2a86824d617ea29f15a","observation_id":"371121b4-42b4-4c65-9798-d691bb15f420","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Kurylev, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:217f94cdc8af86b8adcebaf5f223c1dca5f9d55cbff08aeb6722d71ced57519e","observation_id":"64c0e197-e8c1-4488-b602-00b9dbb3ca5c","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Lassas, T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:26f2e259aa5cbb7e49b05e39dc1be622b3d180c98e98e2ed7b11e87bdef81c28","observation_id":"0cd0579e-54c2-4aaf-9959-a7594ca31194","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Lassas, T","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:ef10ff2cde6fc1fdfb8c4bedb308c4b7fadd9c76eb8dd7fcc891f453dbd23d17","observation_id":"bf668e32-26c5-487f-9227-2b04024f923e","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"McLean.Strongly elliptic systems and boundary integral equations","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:979bf120f02a18faeb37df040fc64a28fb8ab6606ff0326312d167a868a632df","observation_id":"50f7008d-e4f5-497c-ab44-560b7312a026","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:9842b651bf2fc92d5cf8c31126ca3bcb3fff5cce5a5642fb57b484e97ace3c37","observation_id":"885e0c36-363f-4a66-b999-600660e8f246","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:9f029bbb4e4e92601815e7d131b086e2ea911c08fb62fbe7729f7c6cc1e67ffa","observation_id":"c2913481-68d0-41db-a1f2-067cdeb20ee2","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Oksanen, Rakesh, and M","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:ebb5d148ffb2e821db55b59925b7fab8ff271d9cc091f4ae2ec7b78d50eea1b2","observation_id":"3da11cea-5b1e-459d-80f3-d7adc5d7245a","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:0998158d18c734fbf1f950dd24754aa639ee732d6925bfbe7b105fdfd48a1b15","observation_id":"286bf699-cc93-4ea1-a17f-a7eae1018f86","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Päivärinta and V","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:b83cecb75ad794e52bcf4156cff6304479b4798f7b8dac3f9fd705dac624796c","observation_id":"057a3ac4-c6b7-4338-a675-64608a4d6922","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Renardy and R","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:dab4669c6d583f9570c9fd3383d3295edb0997dc1f6a9fe85f94e838884d494a","observation_id":"3fd5c651-de40-41d2-b483-c3ec5c720b86","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Sá Barreto and P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:778299f4ae9fd1c7d37b450c3573bdd135ee308fe7ba6b47ca8af57d5a952e78","observation_id":"aeea888f-4e83-485c-95f3-8c4664573dd3","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Sá Barreto, P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:b7d13435af1b033a81ff69236287fe219d9da4c4b4ffabe585d085aace2336cf","observation_id":"fb6d1d52-78ad-45eb-a46e-2f0853abf70d","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Savitzky and M","venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:0648de424c7ee6e76cf514a56426bb32b6add3de6223f4705b783d890426019d","observation_id":"d140e248-28be-453c-bf82-7dfa555f474a","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:1d16444daf3ddea7122a9394e52ef8c89459d044939490d4a927daefd5ebda53","observation_id":"b98c4351-7d41-432c-88ef-5b74da333d7f","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Serov.Fourier series, Fourier transform and their applications to mathematical physics","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:2a7c01b2f3518b3bca7f897c7acf7c30a942ab91725a80fd38b016fbe9d7362b","observation_id":"d859618b-931f-4ead-a2cd-0e73522fe5c8","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Serov and J","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:345d2744cdad17ecc6878344cd86eaee3c9d3fedc4260f495d8e521a4b12a380","observation_id":"1d3e13f7-8366-4893-9f5c-4d54e00d9366","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T06:07:25.539197Z","title":"Vainikko","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-27T06:07:25.539197Z"},"links":{"citing_paper":"/paper/2606.13337"},"observation_digest":"sha256:953f9e589ffc0f3b712a097b81506c1e3dad93aa2afac6841e4062d7e958cc82","observation_id":"56d76fe5-2ac2-4502-8e3d-ab113cc3aa3e","resolution":{"observed_at":"2026-06-27T06:07:25.539197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.13337","last_updated":"2026-06-11T13:27:24Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-07-06T23:52:09.853158Z","submitted_at":"2026-06-11T13:27:24Z","title":"Reconstruction for an inverse scattering problem with a Kerr type nonlinearity"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":34,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":36},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2606.13337."}