{"as_of":"2026-08-21T07:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:dbf8c535a3eb0ebf5f52993f403abcef6efb955f26f43d33b5f416894d9eae00","coverage":[{"denominator":58,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":58,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T12:04:47.107541Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T05:16:33.638027Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-09T18:04:15.418248Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.14698","snapshot_observed_at":"2026-08-11T05:16:33.638027Z","title":"de Hoop, and Mikko Salo","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.17775","last_updated":"2024-12-23T18:33:45Z","snapshot_observed_at":"2026-08-18T20:22:24.540447Z","submitted_at":"2024-12-23T18:33:45Z","title":"The Calder\\'on problem for the logarithmic Schr\\\"odinger equation","version":1},"reference_index":1980,"source":"pdf_text","source_observed_at":"2026-08-11T05:16:33.638027Z"},"links":{"cited_paper":"/paper/2412.14698","citing_paper":"/paper/2412.17775"},"observation_digest":"sha256:9ee3c099bc44c3a15a3fa5a34ac929eb5df97e8cd4295de2f712538d400a5e2e","observation_id":"1aa1a224-6061-4f6d-8671-1e92343af7e6","resolution":{"observed_at":"2026-08-11T05:16:33.638027Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"cited_work":{"arxiv_id":"2412.14698","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.14698","snapshot_observed_at":"2026-08-09T18:04:15.418248Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","venue":"math.AP","work_id":"c160ceec-388c-44b8-ba59-675b279e32f7","year":2024},"citing_paper":{"arxiv_id":"2502.00710","last_updated":"2025-02-02T07:50:01Z","snapshot_observed_at":"2026-08-14T08:26:26.104135Z","submitted_at":"2025-02-02T07:50:01Z","title":"Fractional anisotropic Calder\\'on problem with external data","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T18:04:14.924439Z"},"links":{"cited_paper":"/paper/2412.14698","citing_paper":"/paper/2502.00710"},"observation_digest":"sha256:0666b064774349a8f25ce30a46b7ac02b127155c2e7faaf2e4cc325528751357","observation_id":"7a19b721-4c58-4e4f-90bd-58acd3531b71","resolution":{"observed_at":"2026-08-09T18:04:15.421872Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.14698/citation-record","integrity":"/paper/2412.14698/integrity","json":"/paper/2412.14698/citation-record.json","paper":"/paper/2412.14698"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.814600Z","title":"Askes and E","venue":null,"work_id":"6f485dde-84b0-4a4e-9372-45f99832e0fd","year":1962},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.897305Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:7e13ceceb610389c04f412813819f3124d085b83d17246df1133ebc62aa36f9d","observation_id":"542679a3-1543-434c-a9d2-358c502f2b53","resolution":{"observed_at":"2026-08-11T12:04:47.817953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.08381","last_updated":"2024-05-14T07:25:47Z","snapshot_observed_at":"2026-08-20T02:52:48.357210Z","submitted_at":"2024-05-14T07:25:47Z","title":"On Instability Properties of the Fractional Calder\\'{o}n Problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.08381","snapshot_observed_at":"2026-08-11T12:04:46.901684Z","title":"Baers, G","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.901684Z"},"links":{"cited_paper":"/paper/2405.08381","citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:34c051a4c8e0e3f34c3f08710f6c9f10d7fac03e637fece8584ba6d359a9748e","observation_id":"6f3c60e8-accf-4c48-9062-39f94a9ce04c","resolution":{"observed_at":"2026-08-11T12:04:46.901684Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.803959Z","title":"Banerjee and S","venue":null,"work_id":"1c5c78cc-3bdb-41f9-af28-6963ed1ff725","year":2024},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.905786Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:a2f278682d8db33a1c93c5d0f040cf9f0102ad0a1f1ccac83a4ca6d130106bc6","observation_id":"ba138f8e-6675-46c7-90f5-befe0333327b","resolution":{"observed_at":"2026-08-11T12:04:47.807445Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.794834Z","title":"Carpinteri, P","venue":null,"work_id":"3fea64b8-6972-459e-bf8a-04fb8a976ce7","year":2011},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.910208Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:20186ea1742e99e15b7c9f6602a082280d1728fe1bdeeba1fa104a4c4cf70386","observation_id":"de36037a-dc64-4ecc-9d72-9a393b74d7b9","resolution":{"observed_at":"2026-08-11T12:04:47.798043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:46.914232Z","title":"Ceki´ c, Y-H","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.914232Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:4216f9a1a0e48face479a132d61750dde22e6e0f4e49a90ef6b456ad642e0c05","observation_id":"5a0f3762-2c65-41e0-997e-849c348675d1","resolution":{"observed_at":"2026-08-11T12:04:46.914232Z","resolver_source":null,"status":"malformed_identifier"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.785344Z","title":"Choulli and E","venue":null,"work_id":"063ddf4e-c28e-49f2-b856-59377415e79a","year":2024},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.918124Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:dbdf2fc264c223942ddec52eabfabfa18a062b09e95ea0f71cb50393494bf4c3","observation_id":"641abc99-fb5f-4b61-a2c0-5a63252bd49a","resolution":{"observed_at":"2026-08-11T12:04:47.788858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.na.2019.0","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.227135Z","title":null,"venue":null,"work_id":"5b343121-08d1-4320-94ff-947596996798","year":2020},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.922121Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:39737f4c01b050fbaa01a91d073c683e6d6ae16ace9c6e41bb33ed2b50f88d88","observation_id":"f21a7384-c1ab-4677-bfd9-f2056e2e4ec7","resolution":{"observed_at":"2026-08-11T12:04:47.230701Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.775235Z","title":null,"venue":null,"work_id":"6a1a8f51-a154-44e7-baf7-231d37e4519b","year":null},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.925785Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:7b0ce4df0f409a326b49cae51a88ea7dfad0b89c7ffd1c4bfbf37e5c00781de4","observation_id":"439ebc7b-ae6d-435c-8973-a6e663ba9909","resolution":{"observed_at":"2026-08-11T12:04:47.778815Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.11063","last_updated":"2021-10-21T11:22:16Z","snapshot_observed_at":"2026-08-20T08:56:30.968881Z","submitted_at":"2021-10-21T11:22:16Z","title":"Uniqueness for the fractional Calder\\'on problem with quasilocal perturbations","version":1},"cited_work":{"arxiv_id":"2110.11063","doi":null,"metadata_source":"pith","pith_arxiv_id":"2110.11063","snapshot_observed_at":"2026-08-11T12:04:47.310023Z","title":"Uniqueness for the fractional Calder\\'on problem with quasilocal perturbations","venue":"math.AP","work_id":"efd68f70-6f5e-4894-8588-a7516e55c139","year":2021},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.933176Z"},"links":{"cited_paper":"/paper/2110.11063","citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:26a1ef76d0183772e850836cbdf3ada213d1919e429111e23799cfd98e587ce6","observation_id":"23288613-7706-4855-9909-8805771d2fe1","resolution":{"observed_at":"2026-08-11T12:04:47.314261Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.11331","last_updated":"2022-12-21T20:11:38Z","snapshot_observed_at":"2026-08-20T09:47:56.428787Z","submitted_at":"2022-12-21T20:11:38Z","title":"Uniqueness for the anisotropic fractional conductivity equation","version":1},"cited_work":{"arxiv_id":"2212.11331","doi":null,"metadata_source":"pith","pith_arxiv_id":"2212.11331","snapshot_observed_at":"2026-08-11T12:04:47.296015Z","title":"Uniqueness for the anisotropic fractional conductivity equation","venue":"math.AP","work_id":"a1d36827-f487-4123-8e41-a72b28bf8672","year":2022},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.936918Z"},"links":{"cited_paper":"/paper/2212.11331","citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:a06d103f8ccd4a6f31cdb338d0d72967e2f2e2cff1f81b8d878f78b9ff329799","observation_id":"1efebde2-34e7-4590-bfbf-190aab17cc61","resolution":{"observed_at":"2026-08-11T12:04:47.299825Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.14200","last_updated":"2024-08-26T11:54:35Z","snapshot_observed_at":"2026-08-16T13:23:51.155719Z","submitted_at":"2024-08-26T11:54:35Z","title":"The inverse problem for the fractional conductivity equation: a survey","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.14200","snapshot_observed_at":"2026-08-11T12:04:46.940966Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.940966Z"},"links":{"cited_paper":"/paper/2408.14200","citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:ab50cb4a5355bde8e7ea2ac3d9841564ee7cfad65cf88f55b1513326e6a8d06c","observation_id":"c18e9048-8041-47a0-a553-d9f9b6579342","resolution":{"observed_at":"2026-08-11T12:04:46.940966Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.05072","last_updated":"2026-04-10T06:50:14Z","snapshot_observed_at":"2026-08-11T09:53:37.140452Z","submitted_at":"2024-08-09T13:59:07Z","title":"An inverse problem for fractional random walks on finite graphs","version":2},"cited_work":{"arxiv_id":"2408.05072","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.05072","snapshot_observed_at":"2026-08-11T12:04:47.271381Z","title":"An inverse problem for fractional random walks on finite graphs","venue":"math.AP","work_id":"887f42d4-8dd1-4bca-a45e-9d8293d6f738","year":2024},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.946102Z"},"links":{"cited_paper":"/paper/2408.05072","citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:fd6af1d51d16e6e004d18c9e6fc1c23e479ddd38f07e7b515b3d156f8eb4d08c","observation_id":"7ecf1999-99d9-43b3-a789-244a4c538663","resolution":{"observed_at":"2026-08-11T12:04:47.275439Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.765225Z","title":null,"venue":null,"work_id":"674b837b-cecd-435a-a09c-89f0cd07d148","year":2021},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.950295Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:3861d09590824f380f10f5ee4ce62e73b301fe6c7a5fcd51938ba20ccd9df978","observation_id":"028f05aa-2af2-45c4-9e56-0f0d755def79","resolution":{"observed_at":"2026-08-11T12:04:47.769028Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.755065Z","title":null,"venue":null,"work_id":"fae8db2d-0d6a-4deb-81e2-d241d8fed309","year":2022},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.953932Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:be66b404be4443747ec87e289fcfe1199fe14c619318084ac55979235c8a905e","observation_id":"8668c753-b4f0-4a47-a6d1-2b1356971f1b","resolution":{"observed_at":"2026-08-11T12:04:47.758862Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.744965Z","title":null,"venue":null,"work_id":"182826ce-e239-4042-926d-65e1110d0217","year":2022},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.957343Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:bc7ce525bbca066010970d5e57e9b1c0e7108fd8fd05fb0696e808ea71bd3c8c","observation_id":"03b1467b-839e-43da-9ad5-350f824fae9b","resolution":{"observed_at":"2026-08-11T12:04:47.748331Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.735254Z","title":null,"venue":null,"work_id":"44451a23-bfc7-449d-b40a-89f8525a30a8","year":2024},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.960720Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:54d95fdd928001c7b395291a35013cf01c386e28fd8c2b913989a96f9c78da5a","observation_id":"05e7c5c6-0106-4473-a523-7400fcc20803","resolution":{"observed_at":"2026-08-11T12:04:47.738663Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.725820Z","title":null,"venue":null,"work_id":"d3abbd9a-7615-47b7-ace7-513f0a022586","year":2024},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.964235Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:ebc16d1861124f3801d90c52715397430442371caf6878e5726ed2947b9e37e0","observation_id":"7d40d1ce-cada-4fc1-96a0-d93bc838a323","resolution":{"observed_at":"2026-08-11T12:04:47.729081Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/11083329","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.204456Z","title":null,"venue":null,"work_id":"66f43b05-c35d-4f94-8bf9-8ac10d14a7a7","year":2012},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.967665Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:c3914f4208178d3bf8bc87f26acf0f7cbe85fe86ee66db8788580114d01db732","observation_id":"58cad39f-5267-48d2-a819-befa930b1c1e","resolution":{"observed_at":"2026-08-11T12:04:47.208365Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s0218202512500546","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.193397Z","title":null,"venue":null,"work_id":"27e66e1a-bc63-4704-abdc-dae7f10d8489","year":2013},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.971333Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:89b77946ff84ce44e1bd31153bb039a9a47babf4ca6426516c44e723493921c2","observation_id":"40ddaa87-ec1a-47c6-9e6e-1af3acfefb46","resolution":{"observed_at":"2026-08-11T12:04:47.197157Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.716488Z","title":null,"venue":null,"work_id":"f99d97b7-b62f-4a55-84e7-ef542460ee11","year":1972},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.975071Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:96fef94c85173106c15e0f72a803b19be89a926332f3b07de911725c905e8c15","observation_id":"1a39bc41-2987-4c9f-bf8c-072be09341b9","resolution":{"observed_at":"2026-08-11T12:04:47.719796Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.707140Z","title":null,"venue":null,"work_id":"93f55d9a-c846-403c-97da-49e1ed5481ef","year":1984},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.978559Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:efb61bfb2a34fad1296c0ba5cf443b1e189d4feee72b92cf81d0533ab3af7ea8","observation_id":"501274e3-1406-4f38-b868-4a1a138f3323","resolution":{"observed_at":"2026-08-11T12:04:47.710448Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.697289Z","title":null,"venue":null,"work_id":"26ef1a3c-6ac8-40fd-b364-3d4343447633","year":2002},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.982124Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:b4464955a9a8f340e470d5a86827bdf84a2b81c56583d25efe07f63324496657","observation_id":"415cbfed-c243-4a76-a1d0-56a7a611c16c","resolution":{"observed_at":"2026-08-11T12:04:47.700705Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.687355Z","title":"Eringen, C","venue":null,"work_id":"273270e3-23df-41ea-aaa4-b40f4fe1913f","year":1977},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.985504Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:2d5a44a2cd1b4d1e97e113dcd3b1c46623ec294d2c9e2efd59740acdc0dea6f6","observation_id":"466775a0-e576-4e6f-9f8c-38c2211f7333","resolution":{"observed_at":"2026-08-11T12:04:47.690918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.574045Z","title":"Failla and M","venue":null,"work_id":"4385b584-d191-469f-874b-087054a5532a","year":2020},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.988842Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:8a86854661e0dec0d3ac0b44b0a9611f50786ff5a43a36d89df65724f48cebda","observation_id":"32d758f5-a920-49fb-bfa5-b89020e337b7","resolution":{"observed_at":"2026-08-11T12:04:47.577437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.16866","last_updated":"2024-07-23T22:20:27Z","snapshot_observed_at":"2026-08-20T14:31:27.049431Z","submitted_at":"2024-07-23T22:20:27Z","title":"Calder\\'{o}n problem for fractional Schr\\\"{o}dinger operators on closed Riemannian manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.16866","snapshot_observed_at":"2026-08-11T12:04:46.992161Z","title":"Feizmohammadi, K","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.992161Z"},"links":{"cited_paper":"/paper/2407.16866","citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:075edd8a45221a79d21a6856f97ae297295f18a83a141c3e589f27e39719896e","observation_id":"2fa5e4db-0111-4fdc-a00f-65dd3e36c8a1","resolution":{"observed_at":"2026-08-11T12:04:46.992161Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.564944Z","title":"Ghosh, Y.-H","venue":null,"work_id":"cd659177-b87f-412e-934d-c4f9e60bef2f","year":1923},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.995938Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:4d104784e3246a86cc7d7ef8d79e3324c343e17991e806724a5a0db1a4925eea","observation_id":"3c867f4b-5598-40ea-8bc9-b153d796f3e2","resolution":{"observed_at":"2026-08-11T12:04:47.568245Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.555352Z","title":"Ghosh, A","venue":null,"work_id":"e7bcc82f-3c19-4f39-94f3-18bb1c531c1f","year":2020},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.999812Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:e19c5eb451b5b32d021fe3424ed7b271212e5871e28a8019c3d057532b21f05b","observation_id":"ac4ca43f-3d7f-4ba5-b676-5550c5d542d5","resolution":{"observed_at":"2026-08-11T12:04:47.558748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.545319Z","title":"Ghosh, M","venue":null,"work_id":"c86875c9-cc1f-4248-9a2c-2277f7fa2998","year":2020},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.003252Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:f08427758d9658091c61d41d9c6a8fc0fa3fa65b37381a8830dc009ab4c14fd8","observation_id":"f2f61baf-8bcf-4f7a-8b07-93dfa20008d9","resolution":{"observed_at":"2026-08-11T12:04:47.548703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.535656Z","title":null,"venue":null,"work_id":"f2a91dde-259d-4093-98ce-1cb007e72c64","year":1920},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.006814Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:617c8c500c20279de007b9c7242b6ab7c1e8070811597e0b3ac1d68a47e8f8da","observation_id":"e762ac32-b955-4e26-9799-c91bdb8e2a4f","resolution":{"observed_at":"2026-08-11T12:04:47.539093Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.010323Z","title":"H¨ ormander.The analysis of linear partial differential operators","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.010323Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:a34cb41902c3b992c012191e19f32f34a1609b7d09b81d09fd077dff92522510","observation_id":"29a4ce07-3911-4d55-8967-bb3d28f478b2","resolution":{"observed_at":"2026-08-11T12:04:47.010323Z","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":"2026-08-11T12:04:47.013759Z","title":"Jin and W","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.013759Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:39a2bcd51fe8bb6047b3c23a0e167e4d7a2c87be6943037422f153201e890a38","observation_id":"e7d9a69f-2e33-4b98-9330-eb717e3e3c0d","resolution":{"observed_at":"2026-08-11T12:04:47.013759Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.525579Z","title":null,"venue":null,"work_id":"ac7b242e-ac1c-40dc-9323-d3f359ad7074","year":2021},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.017517Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:d0eeaea6a0afebd460673512421c2a7db4f3f0d8932f017cc4be3317815e797f","observation_id":"6e4aa868-9aea-4887-b8a5-3b88777b5eb4","resolution":{"observed_at":"2026-08-11T12:04:47.529364Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.515884Z","title":"Kow, Y.-H","venue":null,"work_id":"b9060f68-0c2e-4def-bb21-2d25aedb5855","year":2022},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.020922Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:57e8d75a17930532d1c2abdbbe86bb9f6838a087f259a381327f821dfde3df37","observation_id":"9d84d1f2-3ded-4b6e-9942-2ae23cf46b54","resolution":{"observed_at":"2026-08-11T12:04:47.519255Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.024464Z","title":"Lai, Y-H","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.024464Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:183b68190b0054f18015226af0e77f693ec930b614350de7f2bdee99d18dc865","observation_id":"0cb58050-34e9-41ea-8b95-b556b1a49008","resolution":{"observed_at":"2026-08-11T12:04:47.024464Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2005.06714","last_updated":"2021-06-09T17:40:52Z","snapshot_observed_at":"2026-07-06T09:20:12.169009Z","submitted_at":"2020-05-14T04:03:04Z","title":"On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential","version":2},"cited_work":{"arxiv_id":"2005.06714","doi":null,"metadata_source":"pith","pith_arxiv_id":"2005.06714","snapshot_observed_at":"2026-08-11T12:04:47.246592Z","title":"On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential","venue":"math.AP","work_id":"e32ff7b9-781f-4e27-bcaf-c82f79f620cd","year":2020},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.028636Z"},"links":{"cited_paper":"/paper/2005.06714","citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:ee4cd6cc4fb00b80d7f5c1f13599501872cb4942ededd495041fc1ed5572e3a0","observation_id":"fa0a33c0-c2ce-4e3d-b724-3ec9d616da81","resolution":{"observed_at":"2026-08-11T12:04:47.251621Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.032207Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.032207Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:6a17e5c1c71e0bee931c38e0b1f3805ef55324f2c1df1a52218345e3f05fdc4d","observation_id":"378096eb-f6e0-4e99-880c-9317c91045df","resolution":{"observed_at":"2026-08-11T12:04:47.032207Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.506436Z","title":"Lyakhovsky, Y","venue":null,"work_id":"8a37727d-fe13-4a5d-a03d-696e0d4d9966","year":1997},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.035712Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:b7fd01dc969a459aacac88a76250ae326020aba5d4cfcf42ec68003eea290bbf","observation_id":"c80d84b8-a247-47cc-923a-a24e8de81365","resolution":{"observed_at":"2026-08-11T12:04:47.509851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/jlms.13006","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.156881Z","title":null,"venue":null,"work_id":"847d2780-233d-4764-b856-d03106fd72be","year":2022},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.039666Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:78a573c30f9967d099094009c326bbb7c5fbf2bf98baaad28e02eb0f1a05cf30","observation_id":"870b4f95-006f-4753-8063-db1946194bd5","resolution":{"observed_at":"2026-08-11T12:04:47.160587Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.496598Z","title":null,"venue":null,"work_id":"ed21dd12-a64e-4907-b6a2-da8d5e8de652","year":1963},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.044014Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:6931977ddef6fc0a1b1a1ad19f573c9df487dcca46355f9161bb3ab7bc984baa","observation_id":"ef80a911-e0d6-4365-942e-8920cf275189","resolution":{"observed_at":"2026-08-11T12:04:47.499894Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.487293Z","title":null,"venue":null,"work_id":"c369243d-10cf-46b7-b581-e22b938cce26","year":1965},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.048139Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:1d9693268411189962dd7036d0df05b7c8a0fff963ebf275fcd89d9b6ff99dcd","observation_id":"914937b7-ce35-4d1a-b705-7935e7beafbb","resolution":{"observed_at":"2026-08-11T12:04:47.490621Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.477994Z","title":"Paternain, M","venue":null,"work_id":"563f6126-7aaf-47c3-9648-720a6c98a878","year":2023},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.052169Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:5c256a680652392895b2aaed6ff59212701e7d769f9c1cc588c3afb3520f1ef4","observation_id":"63d0de88-72f2-4f88-bbe6-2533acf6e0d1","resolution":{"observed_at":"2026-08-11T12:04:47.481335Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.468421Z","title":null,"venue":null,"work_id":"d2f853e4-847d-4789-b6c4-32b036a39680","year":1990},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.055641Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:637d59d1fcd2260603a0514dffb0927dcca84e68be7e4a2ce8096e3ed11beb47","observation_id":"c8ce25f8-86ce-41fa-9597-aefd24711704","resolution":{"observed_at":"2026-08-11T12:04:47.471692Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.458745Z","title":"Railo and P","venue":null,"work_id":"60e31a12-0d41-4876-8051-0a70ef65b79f","year":2023},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.059321Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:261167a3f761c787e09cba300d1589b2c1bf6687c863156c4cce6b9bf841a15f","observation_id":"240be8be-65e6-4b3a-a500-7ebb75d3ae57","resolution":{"observed_at":"2026-08-11T12:04:47.462064Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.448615Z","title":"Railo and P","venue":null,"work_id":"1ca2288d-989a-48f3-bd57-96948b851b05","year":2023},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.062630Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:c5913fa5b0da79e8bd0c5b79082821e919e6e9adcce088e6e1c8daec039326b6","observation_id":"46614b0c-b7e3-4846-b746-514bf9949300","resolution":{"observed_at":"2026-08-11T12:04:47.452349Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.438860Z","title":"Railo and P","venue":null,"work_id":"91668f4e-0167-4215-9156-83bc72af8383","year":2024},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.066043Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:a1a5959f1fdacb42518317af2b67856b84305cde54a27ac0996ae55d0bab70cb","observation_id":"09ab18e7-3b61-412e-893d-a0019105a9de","resolution":{"observed_at":"2026-08-11T12:04:47.442231Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3934/mcrf.2019027","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.146533Z","title":"R¨ uland and M","venue":null,"work_id":"a61a3e08-6e11-4a23-93a2-5000db266deb","year":2020},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.069743Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:0d4899d627f1a33be012529fb409f2d0618d1d24c7308b87cf43f9484671af8f","observation_id":"28e7947c-d49a-43b8-9efb-57ba5ca9dcd9","resolution":{"observed_at":"2026-08-11T12:04:47.150019Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.429439Z","title":"R¨ uland","venue":null,"work_id":"3f3c6edc-f2ba-43a8-a28e-f31885e5abff","year":2021},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.073213Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:332dec3abc7b92e7571f57b74bcc2cbcf0f0d12ae3f0abf0e128a9e929db013c","observation_id":"ac4367ce-1b91-4e86-a234-21971657d58f","resolution":{"observed_at":"2026-08-11T12:04:47.432626Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.419356Z","title":"R¨ uland and M","venue":null,"work_id":"cced2a66-251d-4782-bebb-9c2638390865","year":2018},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.076551Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:91f3feeb20ecb543483e77477a7db79373d73b59435b44f24e1cbd22c76e2148","observation_id":"a2150719-3c21-4217-a84c-90bb45596dd5","resolution":{"observed_at":"2026-08-11T12:04:47.422827Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.408756Z","title":"R¨ uland and M","venue":null,"work_id":"d05515c0-4ef4-43e8-8cdf-21018ed3ac50","year":2020},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.080339Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:673d47d710594a34b1d7a31b919775a4a85bd7b36bed02e4085c5b44fa0929bb","observation_id":"54ea8631-0a75-4bf4-ac35-ee138b7fa541","resolution":{"observed_at":"2026-08-11T12:04:47.412267Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.398243Z","title":"R¨ uland and E","venue":null,"work_id":"0ff56670-f254-4464-a2ed-9e28a48f7430","year":2019},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.083748Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:98b28fca867993a13f35db9b94dcc30db501f110221f88a7791b73b6c15e847d","observation_id":"bc2c2d09-c2d3-4b51-a19c-ddace3e3728a","resolution":{"observed_at":"2026-08-11T12:04:47.401791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.386903Z","title":null,"venue":null,"work_id":"952fc26a-95b1-4740-8eaa-9aae9dcb9268","year":2017},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.087389Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:a14359e1b0451e16349890ff805b0e8dfd6a8a3e5536e74cc6f1566e08b25aba","observation_id":"6ab0bfc9-0542-4f41-9a67-ebe41f3caab6","resolution":{"observed_at":"2026-08-11T12:04:47.390827Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00707-019-2373-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-18T11:03:46.223893Z","title":"Tarasov and E","venue":"Acta Mechanica","work_id":"ae94e412-fd56-4c55-9e82-529d0cb48b35","year":2019},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.090697Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:cbfa5ec49640ff6a7c81269177214d37f2742f43222868f9b99d8965d1ddc839","observation_id":"ff1ae6da-43a2-46c9-8c1f-06f7a3b9bd5d","resolution":{"observed_at":"2026-08-11T12:04:47.139324Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.376054Z","title":"Valdinoci","venue":null,"work_id":"489849cc-fbc6-4c89-9662-7028cefbd6bd","year":2009},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.094279Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:9975ff40ab64195d6380e775fbaf24e22a80145219052b4cdd456b3f9edc8455","observation_id":"31d3ad3e-8947-4ca1-9a56-47b42a6595dd","resolution":{"observed_at":"2026-08-11T12:04:47.379546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.365180Z","title":"Wang and J","venue":null,"work_id":"552843e1-3dc6-4ab9-9d4d-1c54b39f6065","year":2022},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.097793Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:773f77bda98c23e87874cc40c4bddafca7957eb412cf4b36f25e84e2d6d97bc7","observation_id":"8a5e756f-13d0-4770-89b4-afec89251a22","resolution":{"observed_at":"2026-08-11T12:04:47.369025Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.354775Z","title":"Wang and B","venue":null,"work_id":"0050b254-a9d6-45a2-9ace-a12946a7b894","year":2022},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.100876Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:8bc89a71393eb048d29fd061685b6efc8b02d7949f3725b8657ab2e6de0e3baa","observation_id":"860dbe73-aba5-4feb-a912-4d655239b44a","resolution":{"observed_at":"2026-08-11T12:04:47.358482Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.343432Z","title":"Zorica and L","venue":null,"work_id":"99c313fb-eb41-44d7-ac53-48c88ca7ee2d","year":2020},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.104304Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:f2275dce04fdd134250b87d27762cc58ea44fbcdc343d98f393399e6774d0c88","observation_id":"73a3ff87-48fe-4747-8af1-6218f95c45f5","resolution":{"observed_at":"2026-08-11T12:04:47.347319Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-11T12:04:47.331791Z","title":null,"venue":null,"work_id":"919e89d4-0a7a-49b4-8a14-fa1c198807e6","year":2012},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:47.107541Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:fbc00dac022511b86bc5aba584abb43eaaf6af2243a9f437156a3d2875daed41","observation_id":"b17e7e59-af2e-4ded-a2c7-bdd6849cb964","resolution":{"observed_at":"2026-08-11T12:04:47.335582Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1361-6420/ab661a","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:04:47.215741Z","title":"doi: 10.1088/1361-6420/ab661a","venue":null,"work_id":"58451b3d-4394-465e-8db4-582b04e25c59","year":null},"citing_paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-11T12:04:46.929386Z"},"links":{"citing_paper":"/paper/2412.14698"},"observation_digest":"sha256:d435dc0d89f1c09fd3a56bad92534434a0897490f841fd4ac47abc7fe8f64994","observation_id":"0f2cda88-8c90-4f2e-bddd-6fe295e4334a","resolution":{"observed_at":"2026-08-11T12:04:47.219443Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.14698","last_updated":"2024-12-19T10:02:42Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-19T21:11:58.960897Z","submitted_at":"2024-12-19T10:02:42Z","title":"Geometrical optics for the fractional Helmholtz equation and applications to inverse problems"},"reference_resolution":{"displayed":58,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":23,"verified_exact":11,"verified_fuzzy":23},"total_outbound_references":58},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 2 inbound Pith citation observations for arXiv:2412.14698."}