{"as_of":"2026-08-14T12:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0a18def26ac16ab8f05496bca331193a87e2f367a90e6af47e23d88b0583e0a4","coverage":[{"denominator":65,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":65,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T22:47:30.811712Z","state":"measured"},{"denominator":68,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":68,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T04:41:02.627134Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T08:56:03.049279Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"cited_work":{"arxiv_id":"2511.09490","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2511.09490","snapshot_observed_at":"2026-06-24T02:14:47.224627Z","title":"Bundrock, A","venue":null,"work_id":"a4628742-f8db-4534-8889-fa983bd4645b","year":2025},"citing_paper":{"arxiv_id":"2604.05975","last_updated":"2026-04-07T15:06:53Z","snapshot_observed_at":"2026-08-02T04:52:54.341331Z","submitted_at":"2026-04-07T15:06:53Z","title":"A boundary integral equation method for Steklov eigenvalue problems for smooth planar domains","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T18:27:12.893571Z"},"links":{"cited_paper":"/paper/2511.09490","citing_paper":"/paper/2604.05975"},"observation_digest":"sha256:506ea5dea73c86502e451c5cb62cd78c4c77eb3f5e4c69e6af014f631ddd734c","observation_id":"924370dc-f602-483f-adc0-f744d8305382","resolution":{"observed_at":"2026-06-24T02:14:47.224627Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"cited_work":{"arxiv_id":"2511.09490","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2511.09490","snapshot_observed_at":"2026-06-24T02:14:47.224627Z","title":"Bundrock, A","venue":null,"work_id":"a4628742-f8db-4534-8889-fa983bd4645b","year":2025},"citing_paper":{"arxiv_id":"2604.11526","last_updated":"2026-04-13T14:27:43Z","snapshot_observed_at":"2026-07-06T22:59:54.573362Z","submitted_at":"2026-04-13T14:27:43Z","title":"Spectral properties of the Dirichlet-to-Neumann map for the Helmholtz equation","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-05-10T16:23:31.282979Z"},"links":{"cited_paper":"/paper/2511.09490","citing_paper":"/paper/2604.11526"},"observation_digest":"sha256:2d0c62c4c2440c0be7115f81bd340b68704bee85f7ee662a07fd26b5a61c5110","observation_id":"43f858be-356e-4fe0-b214-a7885d7f2edb","resolution":{"observed_at":"2026-06-24T02:14:47.224627Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2511.09490","snapshot_observed_at":"2026-08-14T04:41:02.627134Z","title":"Bundrock, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.08626","last_updated":"2026-08-09T10:19:55Z","snapshot_observed_at":"2026-08-14T04:26:42.635592Z","submitted_at":"2026-08-09T10:19:55Z","title":"Asymptotic Analysis of the Narrow Escape and Berg-Purcell problems on general three-dimensional domains with reactive boundary patches","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T04:41:02.627134Z"},"links":{"cited_paper":"/paper/2511.09490","citing_paper":"/paper/2608.08626"},"observation_digest":"sha256:1cfaef24ffe8bdb276b18a2400aa25f83da43b8b2921f70ca9d136010875921a","observation_id":"cc40deb6-b08e-4524-bde1-99a7341dc72b","resolution":{"observed_at":"2026-08-14T04:41:02.627134Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2511.09490/citation-record","integrity":"/paper/2511.09490/integrity","json":"/paper/2511.09490/citation-record.json","paper":"/paper/2511.09490"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/chel/371","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":null,"work_id":"8af99064-eb5c-4af6-a39e-60a7221eef23","year":1973},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.575389Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:8018a3f2aab1acedb45ced8ef52221e72ea3eee0d24a66f1f419c5c8537bd7db","observation_id":"bfe14145-9f75-4623-8b02-75f13403abd1","resolution":{"observed_at":"2026-08-03T22:48:52.361775Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.579757Z","title":"Amrouche, V","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.579757Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:fe4d92563b54dac3fadcea26df4c6fa7bd233a69fa223345f36fab614b2b26c2","observation_id":"f77c8eb9-4d04-4ac1-8cc0-cc6630a33ed7","resolution":{"observed_at":"2026-08-03T22:47:30.579757Z","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":"10.4171/jst/340","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Ann\\'e and O","venue":"Journal of Spectral Theory","work_id":"e219fbba-f0ea-4a83-80b4-4e49cda4a754","year":2021},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.583650Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:2510edac393181e1407e033d5143d28de7c7be1f5a5318b8158044eb8a2fad67","observation_id":"7534be5f-def3-4516-9a96-da7737a155f4","resolution":{"observed_at":"2026-08-03T22:48:52.276236Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.587991Z","title":"Arendt and A","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.587991Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:038b221abbd37c73b727dad59d3c7106abe5b074e4ea10fb335d3328e741041b","observation_id":"8ac39a5b-3706-4a35-bd15-6299d8fe1398","resolution":{"observed_at":"2026-08-03T22:47:30.587991Z","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":"2026-08-03T22:47:30.591998Z","title":"Arendt, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.591998Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:88fa0003765834982bb7cbac78451d39d9f5f383c94e5da40708aedda256410e","observation_id":"d1ff61f0-9906-4169-9bd8-ec2bdb0b6069","resolution":{"observed_at":"2026-08-03T22:47:30.591998Z","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":"2026-08-03T22:47:30.595968Z","title":"Auchmuty, Bases and comparison results for linear elliptic eigenproblems","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.595968Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:ad476a540dcc43f109753851b8510eed1bbddf01b9b7b96fc6998da1ec876495","observation_id":"8c82a8c2-ac2c-4e7e-a175-9d01c0d2a81a","resolution":{"observed_at":"2026-08-03T22:47:30.595968Z","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":"2026-08-03T22:47:30.600299Z","title":"Auchmuty and Q","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.600299Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:1e730f7239644c7c36c7b7fd3d213993b5bf6911bd5bc8c4cc67f82b87e99af2","observation_id":"1b7a1c43-e7fe-43ee-a90a-27591df5e188","resolution":{"observed_at":"2026-08-03T22:47:30.600299Z","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":"10.1016/j.jmaa.2014.03.032","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Auchmuty and Q","venue":"Journal of Mathematical Analysis and Applications","work_id":"c0c20463-ba7b-476f-95e7-62350ffb8274","year":2014},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.603900Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:016b77a5768bb19f90bb367f9e71a2a3719218fe17845ba11bd4a7e497e722b0","observation_id":"866dbc50-0047-4698-bd5a-784c2acab9fa","resolution":{"observed_at":"2026-08-03T22:48:52.153225Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.607504Z","title":"Auchmuty and Q","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.607504Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:a462d5a1c6207d685e5207ac9c61024d4fd9010b3d7acffaa919cf5266deceb8","observation_id":"72e289bd-0dd2-443e-80cc-74412d3e8384","resolution":{"observed_at":"2026-08-03T22:47:30.607504Z","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":"2026-08-03T22:47:30.611219Z","title":"Axler, Harmonic functions from a complex analysis viewpoint","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.611219Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:7ff3b04b61c26f471da0f75d901c3ecfc7063704fe104ffb6649e753098adf18","observation_id":"938337d0-f6b3-4ec2-b5b0-d11f5efe2737","resolution":{"observed_at":"2026-08-03T22:47:30.611219Z","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":"10.1515/9783111025438","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Bandle and A","venue":null,"work_id":"01f4230b-a110-4855-8cb1-18baa637ac99","year":2023},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.614742Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:c9ac81cda36d1b1cbcf7c2b89cbfc35abd5af34ea1cf8f8e2f37bfbe3d507bd6","observation_id":"f12247a3-c7ec-4e56-b6e7-b1210d611849","resolution":{"observed_at":"2026-08-03T22:48:51.970012Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.618692Z","title":"Bardos and M","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.618692Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:e8a3acb313c65fd890e7b44faf78a1247895d01283219d6ec310e201e3d932e0","observation_id":"3899a9b8-23e9-4128-983c-3f22ec7eee74","resolution":{"observed_at":"2026-08-03T22:47:30.618692Z","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":"10.1137/1.9781611971170","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Bellman, Introduction to matrix analysis","venue":"Society for Industrial and Applied Mathematics eBooks","work_id":"b011edfc-9fa9-4d26-aeb5-e92bee25e417","year":1997},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.622402Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:4a2aa4cd04a70b89e7b282a6b2c807084a91f0705e2e7c88933f055bd0c719be","observation_id":"4d95728d-f5b5-4f91-9e4e-03777fc9fd13","resolution":{"observed_at":"2026-08-03T22:48:51.797473Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s12220-022-00905-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Brisson, Tubular excision and Steklov eigenvalues","venue":"Journal of Geometric Analysis","work_id":"35988f42-4615-4a1b-bacd-f532d5572558","year":2022},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.626138Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:d8107da5c8512d25d8182ac657bdeb739db087758076f8e375f52482be41ebcb","observation_id":"9d76c88a-416a-4729-9eb9-e34c90d7c705","resolution":{"observed_at":"2026-08-03T22:48:51.627178Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/1521-4001","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T22:48:51.414586Z","title":"Brock, An isoperimetric inequality for eigenvalues of the Stekloff problem , ZAMM Z","venue":null,"work_id":"f967ec84-8259-41fc-bb6c-11d8b106f9f5","year":2001},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.629769Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:f3f4c4549e7ea810e9e4838607dd70ffa1467e7c2d81d4ab57e9b4091cc3e1df","observation_id":"027ee9e7-97a6-42ef-99ca-833374a3899d","resolution":{"observed_at":"2026-08-03T22:48:51.454678Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.633325Z","title":"Bucur, V","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.633325Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:b439400ac6e84b87bd1e07954dfe8e016a7f0365407b79dd90b9a4375fc33438","observation_id":"446e3300-6aec-41d5-85ee-fe7400b87ec8","resolution":{"observed_at":"2026-08-03T22:47:30.633325Z","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":"2026-08-03T22:47:30.636810Z","title":"Bundrock, The Robin eigenvalue in exterior domains","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.636810Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:e383dcaed48340916cdaa58cd2fb5758356b6f0a34e8e1875630223b52b547b3","observation_id":"bb1c78af-e125-4735-967c-89fd35db8840","resolution":{"observed_at":"2026-08-03T22:47:30.636810Z","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":"10.1007/s10231-024-01520-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Bundrock, Optimizing the first R obin eigenvalue in exterior domains: the ball's local maximizing property","venue":"Annali di Matematica Pura ed Applicata (1923 -)","work_id":"432bd9c8-c89c-405f-a303-aad162a61b80","year":2025},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.640624Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:c3d9d5d66b590fa2efeb39d1403f2638fbc7e4c0d431bab0f0b59c8796840bbd","observation_id":"1a9771b5-07a0-497a-854f-3fafe5d233d6","resolution":{"observed_at":"2026-08-03T22:48:51.348911Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/16m1058704","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Cakoni, D","venue":"SIAM Journal on Applied Mathematics","work_id":"4ed68f11-eb34-44e7-a89a-c090a72db97f","year":2016},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.644193Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:ac20f8793ad32573ae3d859422e5546e82ce207a6ba90991b7e3da27ce0e0ff4","observation_id":"1eb5eb66-4e90-41a3-9e5a-251edb419856","resolution":{"observed_at":"2026-08-03T22:48:51.247429Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.648110Z","title":"Chaigneau and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.648110Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:ab572acf34d19893bf0e4dcdadfde7c64be5351b21ab61a371277429c3cf85f8","observation_id":"cc3ff948-0477-4c45-b963-905978a4d4c3","resolution":{"observed_at":"2026-08-03T22:47:30.648110Z","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":"2026-08-03T22:47:30.651882Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.651882Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:2a0b14d3908c692aef4c714af2437ed46e84b097356d3742f53a21862c614364","observation_id":"e9df962a-a8a5-40cb-a1f8-09ce506e7839","resolution":{"observed_at":"2026-08-03T22:47:30.651882Z","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":"2026-08-03T22:47:30.655310Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.655310Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:c19645fa227f0aca0dbe795f2422416f4997c96b71e48ece3afbb04e45c2e43c","observation_id":"e4dc943a-cbc2-4b4c-9968-df019a43cb0a","resolution":{"observed_at":"2026-08-03T22:47:30.655310Z","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":"2026-08-03T22:47:30.658758Z","title":"Colbois, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.658758Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:65401c69ad0e38ac2265e19a503a89e43b55893e9ed6bc3c013e6b774fec52d8","observation_id":"7228e74a-790b-4645-960a-f0d1a17955d3","resolution":{"observed_at":"2026-08-03T22:47:30.658758Z","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":"10.1007/s12220-021-00678-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Colbois and S","venue":"Journal of Geometric Analysis","work_id":"2c85e5fe-cb50-49bc-8682-cc429c3d31a7","year":2021},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.662165Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:589993f0da04e8dcd6adb2883039c867723011ad59514873156ac47c6389b955","observation_id":"f8a9e8f7-ee1b-45e9-b07b-0b87b199b83a","resolution":{"observed_at":"2026-08-03T22:48:51.061395Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.665679Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.665679Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:0300901fb956a84caea0f7dd367973196f17712b87881bc496f739153a1a233f","observation_id":"d6532f11-2f36-4ee0-b4d3-e24e79e75780","resolution":{"observed_at":"2026-08-03T22:47:30.665679Z","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":"2026-08-03T22:47:30.668941Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.668941Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:b82d117c3242356add6edb585d166cfcebb9eb1485586d94c4cf2fd364094c81","observation_id":"dd009343-db8e-4415-b0a5-48ace5b9f238","resolution":{"observed_at":"2026-08-03T22:47:30.668941Z","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":"2026-08-03T22:47:30.672410Z","title":"Freitas and R","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.672410Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:9091c254a9453bdf8384168cf726ca62190d4bb68079a97c230448d4984e70e1","observation_id":"3bce2296-c8df-45b0-a6ec-bcad42827bfc","resolution":{"observed_at":"2026-08-03T22:47:30.672410Z","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":"2026-08-03T22:47:30.676020Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.676020Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:1e4b3ab23d2e18fc95a3cac182460cca113e3c17b11074476442e2a26c43c62c","observation_id":"75cd07d4-e714-4d05-890a-b1587f488f74","resolution":{"observed_at":"2026-08-03T22:47:30.676020Z","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":"2026-08-03T22:47:30.679520Z","title":"Giorgi and R","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.679520Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:c5bbefdee9b4dcbe2dda6844181ff35a6e1fb9da847f445861020cea8401b268","observation_id":"b327b1df-cd20-4c77-a19c-ae9520e78768","resolution":{"observed_at":"2026-08-03T22:47:30.679520Z","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":"2026-08-03T22:47:30.682861Z","title":"Girouard, M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.682861Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:a30173480c43bd8f1a15dff7973f867392414174cb89e10ea4d9d43a788edd33","observation_id":"3dc77aec-31a2-4d1e-a61e-f6d418a9b672","resolution":{"observed_at":"2026-08-03T22:47:30.682861Z","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":"2026-08-03T22:47:30.686331Z","title":"Girouard, M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.686331Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:1c3050b8f58cc5112d1312f0e6ee74042391777a6c3d54e337c0ba91b85e4f99","observation_id":"40e2ff22-c4e9-4808-96a8-1c9f96e8f773","resolution":{"observed_at":"2026-08-03T22:47:30.686331Z","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":"2026-08-03T22:47:30.689777Z","title":"Girouard, L","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.689777Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:cf30939dad7b80e9cf61f23b2a9615879338cd74c522ec42ad072a00827f9a9f","observation_id":"066a9669-63dd-4419-b487-42f0e42856d8","resolution":{"observed_at":"2026-08-03T22:47:30.689777Z","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":"2026-08-03T22:47:30.693281Z","title":"Girouard and I","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.693281Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:afd7bf77a3ca290cbb96ec85b66a22490177811e78f28b9507938d23b318d29c","observation_id":"88e82eb3-c3b7-4bb9-9b59-48eda33d48b1","resolution":{"observed_at":"2026-08-03T22:47:30.693281Z","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":"2026-08-03T22:47:30.696780Z","title":"Girouard and I","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.696780Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:1ee9ca2c761a08c464fe342cf6264e15b1bbc6b55f6e6586a4c79682c20ededc","observation_id":"731abebd-0a2d-4d47-a717-35ee74c8e484","resolution":{"observed_at":"2026-08-03T22:47:30.696780Z","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":"2026-08-03T22:47:30.700571Z","title":"Girouard and I","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.700571Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:db17b976c9fd4be373413d43bbcca821f7df703f20c196281b36ca8a018db44c","observation_id":"e98b1bf4-caef-4c2d-a2d5-89d6915392c7","resolution":{"observed_at":"2026-08-03T22:47:30.700571Z","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":"2026-08-03T22:47:30.704373Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.704373Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:ab5f3fb318bb64850af00214f0c6f2ad64e7ce9604c4c14630718ae3fcbd9cf3","observation_id":"c4f4378a-788c-4bb4-bf8f-3b6ac631a4eb","resolution":{"observed_at":"2026-08-03T22:47:30.704373Z","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":"10.1103/physreve.109.055306","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Physical review. E","work_id":"95785861-d2a3-4dc8-a256-ae3b90599967","year":2024},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.707976Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:dafab2e49cbdaf1e12a10d7151c423eed9af24f12a33501e2c4a2f2cbd61fe56","observation_id":"bbcdcf12-f5a9-41ba-b273-0f77b1a32f32","resolution":{"observed_at":"2026-08-03T22:48:50.826418Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/24m1689697","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Multiscale Modeling and Simulation","work_id":"a5d88049-96cf-4634-9993-e4d9d5e099b7","year":2025},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.711506Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:6892ce4ba40a41cbf052763d313eeb1b278f5fe4cd1f60da0435b2cb5ee64480","observation_id":"3a30280e-f127-4844-abef-9eb7c6cc8e19","resolution":{"observed_at":"2026-08-03T22:48:50.660798Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.714961Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.714961Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:483c92e5a083d69039ab1329856c47a67e71f75bda1256f10b9561abc69eb1a3","observation_id":"dddd5c88-142b-476d-80b4-2e371b8aff5d","resolution":{"observed_at":"2026-08-03T22:47:30.714961Z","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":"2026-08-03T22:47:30.718478Z","title":"Hecht, New development in FreeFem++","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.718478Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:291d221b18f935296329b8844a24b37977e9cbc2eabe0d73031efea4b496d356","observation_id":"6beccaf2-9435-440d-a6b7-f0cd2a28d925","resolution":{"observed_at":"2026-08-03T22:47:30.718478Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.00947","last_updated":"2025-01-13T20:00:19Z","snapshot_observed_at":"2026-08-13T12:35:04.098202Z","submitted_at":"2025-01-01T20:16:51Z","title":"Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.00947","snapshot_observed_at":"2026-08-03T22:47:30.722094Z","title":"Helffer, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.722094Z"},"links":{"cited_paper":"/paper/2501.00947","citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:dc6ec7f4ff910a3ca45148c16275c321fd897ef06c5febe1d01d906bb71cceeb","observation_id":"c97e77bf-2a77-4c80-9d29-96dd9386389c","resolution":{"observed_at":"2026-08-03T22:47:30.722094Z","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":"2026-08-03T22:47:30.725980Z","title":"Helffer and F","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.725980Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:c59e16f305b79e8aa359154a21b7c9043e40062f25d7e190c4c8cf17ab3dfae3","observation_id":"b2a133f5-c186-41e5-8316-713217526af4","resolution":{"observed_at":"2026-08-03T22:47:30.725980Z","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":"10.1007/bf01627938","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Henrici, B","venue":"Zeitschrift für angewandte Mathematik und Physik","work_id":"3b76447c-42f5-4dd6-a6c9-14988a8afccd","year":1970},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.729726Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:4ef786d2c725f541c60239b6c1220189c37fc421e6bf661562214cbd126e5ae1","observation_id":"d7450657-d3e7-4c42-b964-748b2cca8739","resolution":{"observed_at":"2026-08-03T22:48:50.492548Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.733571Z","title":"H \\\"o rmander, The spectral function of an elliptic operator","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.733571Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:6eda5236236fe9fbb8ff7789b2e1bc3ea968acccaa8bb6fcc764eb9e5cf455fd","observation_id":"7598f985-f119-4d4f-af26-7e11ef13ccf9","resolution":{"observed_at":"2026-08-03T22:47:30.733571Z","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":"2026-08-03T22:47:30.737213Z","title":"Kachanovska, K","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.737213Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:24f45a985b54308fa984866fdcf5838884697eb063703b661627cbdf6c996ace","observation_id":"911f1620-c1f3-49fb-919a-c28b84f03b00","resolution":{"observed_at":"2026-08-03T22:47:30.737213Z","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":"2026-08-03T22:47:30.740833Z","title":"Karpukhin, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.740833Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:a8318e3cdfcf1d416f1aee6286fd2796ee6a21e936d82fd49a5cd2d0384beab1","observation_id":"d26db14b-baca-4112-a665-fc0f3f795404","resolution":{"observed_at":"2026-08-03T22:47:30.740833Z","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":"10.1007/s00526-017-1138-4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Kova r \\' k and K","venue":"Calculus of Variations and Partial Differential Equations","work_id":"59504146-6067-4550-bdf6-e4fc3538ed88","year":2017},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.744514Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:513087e6c4d2b35110b392cb4b27b038467a307b8e67323fec84daebfaea908e","observation_id":"6b500013-abbf-445a-8c2e-96319288d886","resolution":{"observed_at":"2026-08-03T22:48:50.152876Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.748328Z","title":"Krej c i r \\' k and V","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.748328Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:387128c7bafba621c1496621116dce73a6fa780c2ae114589d70aaa28e3f476e","observation_id":"14f98ba9-58f4-4529-819b-36b3cc4c77a4","resolution":{"observed_at":"2026-08-03T22:47:30.748328Z","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":"10.1007/s11118-018-9752-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Krej c i r \\' k and V","venue":"Potential Analysis","work_id":"a1b1ae16-581c-4076-af74-be2c497552a9","year":2020},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.752108Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:bc0de599ab269677a4fa0c6081b04430a4cf7f162a8074ae7542c276e40e0f97","observation_id":"cceb9a16-7ceb-4b03-b9b0-0812794925b3","resolution":{"observed_at":"2026-08-03T22:48:49.833581Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00526-024-02824-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Krej c i r \\' k and V","venue":"Calculus of Variations and Partial Differential Equations","work_id":"549be1b3-f743-417a-96a0-bf45bb5de176","year":2024},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.755800Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:3830c093d1a9abffc14a2f0624f8c3828ef2c0a5dadb4b8489831c96c09204c5","observation_id":"6b967ba2-9058-4703-bd1a-a51ed2838559","resolution":{"observed_at":"2026-08-03T22:48:49.536327Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.759490Z","title":null,"venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.759490Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:4807cc584f1ceff2c21ea5c97268f340bbf4a0e8afca0d0ddeb32b929a6a7cd3","observation_id":"7662608a-5dcb-4348-a42d-ff38eddddedb","resolution":{"observed_at":"2026-08-03T22:47:30.759490Z","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":"2026-08-03T22:47:30.763469Z","title":"Levitin, D","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.763469Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:2baf0d9e3ad1e6af56f0a53bba500455c355d7c72502c3e0717a17884dd630c9","observation_id":"df0a21bf-c831-4f76-a382-e63ca038f5f1","resolution":{"observed_at":"2026-08-03T22:47:30.763469Z","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":"2026-08-03T22:47:30.767335Z","title":"Lieb and M","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.767335Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:6f8b1917df231c5f722de354fefd3e573270e06e5775dfb4944dcb73588575b2","observation_id":"ccd7173b-fac6-44fc-b332-893b9c5d56c9","resolution":{"observed_at":"2026-08-03T22:47:30.767335Z","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":"2026-08-03T22:47:30.770932Z","title":"Lu and B","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.770932Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:88e490955f81415b97bcb6a8f637f745b20b890f4e8f26e64ddfd9464935f408","observation_id":"6e27f0ef-4d87-4c7b-92a1-fbc26f9b9754","resolution":{"observed_at":"2026-08-03T22:47:30.770932Z","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":"2026-08-03T22:47:30.774615Z","title":"McLean, Strongly elliptic systems and boundary integral equations","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.774615Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:7f04cca7919dac308af6081d0e1e40acefb52dde64b91d0399be766d17badadc","observation_id":"af5b6551-d028-444f-b490-a4279dd01a24","resolution":{"observed_at":"2026-08-03T22:47:30.774615Z","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":"10.4171/rmi/58","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Mulero, Compact hypersurfaces with constant higher order mean curvatures","venue":"Revista Matemática Iberoamericana","work_id":"ceecbd32-d344-4ec4-8ca7-e99e92b2ee81","year":1987},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.778236Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:f2d5cc4cfc2a861f6a95be9d78424593555604391a2402f92326948bac5c7224","observation_id":"4f29dd7d-ffcf-4925-a5a9-465a549f33c9","resolution":{"observed_at":"2026-08-03T22:48:49.238498Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/0501032","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"SIAM Journal on Mathematical Analysis","work_id":"c442ffd3-0216-48d9-b105-764b347e352d","year":1970},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.782325Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:501eca32f7c08f37ad5d6c274a4b83dc35e647a7bd92d208c582c82f7dbef860","observation_id":"7b77acf5-1e18-48a1-a7b2-736ac2f6ccc2","resolution":{"observed_at":"2026-08-03T22:48:48.941081Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2322637","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"American Mathematical Monthly","work_id":"e4aece40-6a94-4a55-989e-abd39d3db7c1","year":1985},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.786282Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:1e3ea7283321bd2f441706ce5b2c2f4f775877a613911d59989011c7b252efcd","observation_id":"13e57c8f-c1eb-4070-8399-cc01abe1feef","resolution":{"observed_at":"2026-08-03T22:48:48.647931Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-03T22:47:30.790108Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.790108Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:96baa5c5b7898707a604b80b80c7142af1490fde3b0c00c0a085c3d6cddd412e","observation_id":"4894d791-0771-4a09-8f20-21663749a910","resolution":{"observed_at":"2026-08-03T22:47:30.790108Z","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":"2026-08-03T22:47:30.793876Z","title":"Rozenblum, Weyl asymptotics for Poincar\\'e-Steklov eigenvalues in a domain with Lipschitz boundary","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.793876Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:ea35e316f0e5f89c4e769e4c996f88627f21c63da0709202f016b8c36aa40a45","observation_id":"4667626c-6d7a-4e03-a065-d4d38b3e0b19","resolution":{"observed_at":"2026-08-03T22:47:30.793876Z","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":"2026-08-03T22:47:30.797432Z","title":"Sayas, First steps in the boundary element method, 2015","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.797432Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:d4df9492697e13fb4953291c5cfce61f003638c3859dd824d082127378c0a51c","observation_id":"3072a649-a6c1-4664-81b5-3e5d159627ee","resolution":{"observed_at":"2026-08-03T22:47:30.797432Z","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":"2026-08-03T22:47:30.800952Z","title":"Steinbach, Numerical approximation methods for elliptic boundary value problems: finite and boundary elements","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.800952Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:081b6367c4d22e294bf597fe5111aa54fa69a7b5927e5a10e9bf0336565a1f12","observation_id":"a2332a79-f26d-473c-b0bd-8a87eb1d8803","resolution":{"observed_at":"2026-08-03T22:47:30.800952Z","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":"2026-08-03T22:47:30.804496Z","title":"Weinstock, Inequalities for a classical eigenvalue problem","venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.804496Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:b0d6126c41a2f79d592294faa0c43ae9aa3b1bcd7d6473288db5a1de5b8f3968","observation_id":"978b87ed-d515-49b4-b121-f4723c37d803","resolution":{"observed_at":"2026-08-03T22:47:30.804496Z","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":"10.1007/s42543-023-00068-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Xia and C","venue":"Peking Mathematical Journal","work_id":"765a82f2-4139-47f9-9f9e-35cf88c9bff2","year":2024},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.808148Z"},"links":{"citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:6a924f5c5fe8bc5d030bcb7efc4303841953c7e0693c1fd402c64dbc5f6f7f66","observation_id":"1cfcef32-2865-41bf-942d-7b005e172a0c","resolution":{"observed_at":"2026-08-03T22:48:48.314476Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2304.11297","last_updated":"2023-04-22T02:45:34Z","snapshot_observed_at":"2026-08-13T11:57:46.583440Z","submitted_at":"2023-04-22T02:45:34Z","title":"Sharp bounds for the first two eigenvalues of an exterior Steklov eigenvalue problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.11297","snapshot_observed_at":"2026-08-03T22:47:30.811712Z","title":"Xiong, Sharp bounds for the first two eigenvalues of an exterior S teklov eigenvalue problem","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains","version":3},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-03T22:47:30.811712Z"},"links":{"cited_paper":"/paper/2304.11297","citing_paper":"/paper/2511.09490"},"observation_digest":"sha256:d83f75509af90ddfdda299d7498d5a31352ef88bdc8c5fe10e23ac51595f7bac","observation_id":"a524246e-0506-4cdd-8a4b-143f5c327911","resolution":{"observed_at":"2026-08-03T22:47:30.811712Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2511.09490","last_updated":"2026-06-23T13:24:46Z","latest_version":3,"primary_category":"math.SP","snapshot_observed_at":"2026-08-03T22:47:27.080506Z","submitted_at":"2025-11-12T17:02:28Z","title":"The exterior Steklov problem for Euclidean domains"},"reference_resolution":{"displayed":65,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":45,"verified_exact":20,"verified_fuzzy":0},"total_outbound_references":65},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 3 inbound Pith citation observations for arXiv:2511.09490."}