{"as_of":"2026-08-09T00:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6ffea16da79f238ab279e9a4c44fe50f1c3ba4dfc3c280cf1b1cbd9a84ffff81","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:36:13.690127Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.18567/citation-record","integrity":"/paper/2505.18567/integrity","json":"/paper/2505.18567/citation-record.json","paper":"/paper/2505.18567"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:36:19.181267Z","title":"Stable determination of conductivity by boundary measurements","venue":null,"work_id":"1d98180f-0cd3-40cb-854a-622190670b04","year":1988},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:10.829298Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:a27378a55c0012b5aabf00ee513008f5a431e729fae03f1e7383594ad736e178","observation_id":"a1705a99-f0f1-4a8e-9cf3-af88c3432b97","resolution":{"observed_at":"2026-08-07T14:36:19.303395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:19.018281Z","title":"Calder\\' o n's inverse conductivity problem in the plane","venue":null,"work_id":"5d24de84-624f-405a-aec2-8e2b3348f93e","year":2006},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:10.908358Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:6383997b3e89b5a2092edf356b787e4aadb5ca6af034a84fa27ff5f438893557","observation_id":"cc6ffb10-e11d-47cc-a98c-391c0bf4add4","resolution":{"observed_at":"2026-08-07T14:36:19.084365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:18.788712Z","title":"Calder\\' o n's inverse problem for anisotropic conductivity in the plane","venue":null,"work_id":"6b17a71c-ba75-44eb-a98d-000c161f2a58","year":2005},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:10.965032Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:6c7332efb7eb9247a1c85554c6881451aa2e3bf320f4bd508e8b3ebd21c63695","observation_id":"9df4c779-67e1-45cc-a611-bd9cefcb4196","resolution":{"observed_at":"2026-08-07T14:36:18.899273Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:18.594161Z","title":"Lipschitz stability for the inverse conductivity problem","venue":null,"work_id":"370b8347-96d8-4b3d-8388-0caba5c1f8e3","year":2005},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.069834Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:0600a428dd08792dcca616b23ad63c88abf6885359ab099baf883cb7d4481787","observation_id":"ed8f7bcf-8c9d-402a-96e3-22212e799d7b","resolution":{"observed_at":"2026-08-07T14:36:18.682369Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:18.482522Z","title":"Calder\\' o n","venue":null,"work_id":"a7830b5f-a626-49bc-befc-ed81f3621c6d","year":1980},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.156210Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:938d943627abf97fad56756d8d4fce89eb160474a1ac29b4bc350ed6304b3412","observation_id":"466d9473-9e4f-4aed-be00-a3eacb0a9590","resolution":{"observed_at":"2026-08-07T14:36:18.554543Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:18.369978Z","title":"Stability estimates for the calderón problem with partial data","venue":null,"work_id":"f3c901be-deb9-4e1e-99cf-b7df7b1f8176","year":2016},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.286461Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:ddd9941730683f62f59b2f3e1408694a57cc6f2ce8dc1b0b7a8b55485c659d52","observation_id":"40588931-beb3-4ce8-82a5-c32a2a6c2c5b","resolution":{"observed_at":"2026-08-07T14:36:18.422368Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.04227","last_updated":"2023-06-20T07:31:41Z","snapshot_observed_at":"2026-07-06T15:24:15.063725Z","submitted_at":"2023-05-07T09:23:01Z","title":"A Reduction of the Fractional Calder\\'on Problem to the Local Calder\\'on Problem by Means of the Caffarelli-Silvestre Extension","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.04227","snapshot_observed_at":"2026-08-07T14:36:11.350595Z","title":"A reduction of the fractional C alder\\'on problem to the local C alder\\'on problem by means of the C affarelli- S ilvestre extension, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.350595Z"},"links":{"cited_paper":"/paper/2305.04227","citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:c05f320349a0e959413cbc6bd5e899a17c346eca82e911e5d84de4eb5c4cfe5f","observation_id":"b1928031-7f71-4934-b733-6c8fca57c6e2","resolution":{"observed_at":"2026-08-07T14:36:11.350595Z","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":"2026-08-07T14:36:18.175013Z","title":"u land. The C alder\\' o n problem for the fractional S chr\\","venue":null,"work_id":"34130b27-c8fa-4479-868f-64db6db587d1","year":2020},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.404036Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:e9bb333e371cf09f2bb50005ffe7f46c4ac33b4918610ce2f70ffa088956faa7","observation_id":"0ec1b607-8fc0-48e3-a1cd-f956db14c993","resolution":{"observed_at":"2026-08-07T14:36:18.270276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:18.016408Z","title":"Unique continuation property and P oincar\\' e inequality for higher order fractional L aplacians with applications in inverse problems","venue":null,"work_id":"fdfaf20e-86c8-42e6-9a1f-a4d7fcd861be","year":2021},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.468893Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:d9069af3e796a573c4c0447f6bec5360ff70075ea422791c9c025f654a185dcc","observation_id":"23640237-1b97-4c28-bb1f-38431eada142","resolution":{"observed_at":"2026-08-07T14:36:18.099520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:17.818328Z","title":"The higher order fractional C alder\\' o n problem for linear local operators: U niqueness","venue":null,"work_id":"b06dd8c6-dc35-45e7-9ad6-2b272e4a707f","year":2022},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.566306Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:b15510435fa16e2c2ec73504c6b83fbbe2de52d4b1bc66217f8db638817201bd","observation_id":"0a121ac4-7a22-45fb-9218-5951d32b7386","resolution":{"observed_at":"2026-08-07T14:36:17.896870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:11.693216Z","title":"Inverse problems for a fractional conductivity equation","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.693216Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:6714b7b0bea9be8ac12ca2fa59c39d5ba9997047ce3fff708f712e3480a5086f","observation_id":"f9cdee9a-8e96-4b22-a87f-68fd17835e08","resolution":{"observed_at":"2026-08-07T14:36:11.693216Z","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":"2026-08-07T14:36:17.656281Z","title":"Uniqueness for the fractional C alder\\'on problem with quasilocal perturbations","venue":null,"work_id":"e0034311-e5f3-43c7-b88e-82976f22d500","year":2022},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.791908Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:da3112012a930f589ba3e87f74a03a7f4dfd7122551b03faada6616871392e4f","observation_id":"3c6fd17a-0307-49ce-a597-f447d9b35447","resolution":{"observed_at":"2026-08-07T14:36:17.705867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.14200","last_updated":"2024-08-26T11:54:35Z","snapshot_observed_at":"2026-08-03T12:44:54.706002Z","submitted_at":"2024-08-26T11:54:35Z","title":"The inverse problem for the fractional conductivity equation: a survey","version":1},"cited_work":{"arxiv_id":"2408.14200","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.14200","snapshot_observed_at":"2026-08-07T14:36:13.990878Z","title":"The inverse problem for the fractional conductivity equation: a survey","venue":"math.AP","work_id":"f5d03f78-5cf6-4f4f-8664-578691e8e167","year":2024},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.826491Z"},"links":{"cited_paper":"/paper/2408.14200","citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:096e118adebf4203c20e8f75743ae3bad2806d4c0f20ec9626d69d735727bcd4","observation_id":"8e59e6e2-fb77-45c3-bc35-03a5a87dd08c","resolution":{"observed_at":"2026-08-07T14:36:14.045158Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:11.881489Z","title":"Stability estimates for the inverse fractional conductivity problem","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.881489Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:9b1b5bb756c0c54630928d8d9e4f408289a16fcc26b32c61661c4ef8221aacb9","observation_id":"568fb0cc-2d55-4075-879b-9385cb0e91f6","resolution":{"observed_at":"2026-08-07T14:36:11.881489Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.04325","last_updated":"2022-04-08T23:24:15Z","snapshot_observed_at":"2026-07-06T12:58:27.906110Z","submitted_at":"2022-04-08T23:24:15Z","title":"The global inverse fractional conductivity problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.04325","snapshot_observed_at":"2026-08-07T14:36:11.933339Z","title":"The global inverse fractional conductivity problem, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:11.933339Z"},"links":{"cited_paper":"/paper/2204.04325","citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:48a809dc286f70deb5a74f100719f3482822f1c10dcd1b8c31b2287ea0301c61","observation_id":"c8a644d6-e5b6-49fc-bfda-7b0100bd4d98","resolution":{"observed_at":"2026-08-07T14:36:11.933339Z","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":"2026-08-07T14:36:17.413538Z","title":"Stability of the calderón problem in admissible geometries","venue":null,"work_id":"58294600-eb7d-4520-8e10-671c84f019b4","year":2014},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.034996Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:e26485a3463378f2667fef0f4d7025703229a7e283240708e6295ed1d5490b4b","observation_id":"6176aa71-84a9-4529-aba4-f073d1698a14","resolution":{"observed_at":"2026-08-07T14:36:17.529912Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:17.184296Z","title":null,"venue":null,"work_id":"ce65e2b5-cba0-4222-bb0e-15e06ee72ce2","year":2017},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.116729Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:828d617d7d4052b20ec13fe5c02eda3f1c0266d106fe4b6c9e0fcaf66d89488a","observation_id":"642d8cd8-f5eb-4b38-b708-1d5436db388e","resolution":{"observed_at":"2026-08-07T14:36:17.278987Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:16.983201Z","title":"Kenig, Mikko Salo, and Gunther Uhlmann","venue":null,"work_id":"985916b7-a55c-45ca-9be9-ba159900d607","year":2009},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.206324Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:7517bb53096341a6d52ad33c033dca9b665c5f146bbfa56cdaac680eff4f9bd4","observation_id":"88f5acbf-a52f-4687-8313-59c272e2f1ed","resolution":{"observed_at":"2026-08-07T14:36:17.072555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:16.751451Z","title":"The C alder\\' o n problem for variable coefficients nonlocal elliptic operators","venue":null,"work_id":"6c4e7d78-974e-4a41-aafc-05b1986c4d8c","year":1923},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.308837Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:295f56cd7e71c3611ff712adc80a53bcb7c2a26716c6f190ca65eae6a6472b14","observation_id":"dfa02522-a093-4890-b94a-f5769828d855","resolution":{"observed_at":"2026-08-07T14:36:16.826844Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:16.510215Z","title":"Uniqueness and reconstruction for the fractional C alder\\' o n problem with a single measurement","venue":null,"work_id":"d04dcd2f-a0c1-44d2-92b6-4446e39656fd","year":2020},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.443039Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:4c0bbead3f652fc84a4a31251e2cdd59916451a82638c0bd00eaa71239f3b9b3","observation_id":"99ddf966-de81-4434-884e-2080e7bc569a","resolution":{"observed_at":"2026-08-07T14:36:16.633395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:16.275469Z","title":"The C alder\\' o n problem for the fractional S chr\\\" o dinger equation","venue":null,"work_id":"178409f7-f6cf-41f4-a692-a06a95979c32","year":2020},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.538673Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:c61512bfe04ae6c212da2fe176ef98f0c9e9d93078d99b89aba60bb3f41ccd86","observation_id":"b8023fbd-0430-4539-a4c1-bdb686de7ba4","resolution":{"observed_at":"2026-08-07T14:36:16.375087Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.09265","last_updated":"2021-10-18T13:08:31Z","snapshot_observed_at":"2026-07-06T11:59:04.643339Z","submitted_at":"2021-10-18T13:08:31Z","title":"The Calder\\'{o}n problem for nonlocal operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.09265","snapshot_observed_at":"2026-08-07T14:36:12.622681Z","title":"The C alderón problem for nonlocal operators, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.622681Z"},"links":{"cited_paper":"/paper/2110.09265","citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:d300fd6b42b6a0b0d3e6260a040008d26da96d4ce65d848410aa82a55c455e91","observation_id":"c64ec24d-da2d-406a-9140-cf7fe415fae4","resolution":{"observed_at":"2026-08-07T14:36:12.622681Z","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":"2026-08-07T14:36:16.093009Z","title":"Commutator estimates and the euler and navier-stokes equations","venue":null,"work_id":"d17d74e4-0a1a-4953-8b0e-cfa5de2ca522","year":1988},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.693846Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:50375fcbb828fdb694f4b4146b87106c34abf9c65b882e3627dc5d2829ded3d6","observation_id":"6bbbd2a9-b140-4a4c-bc63-2b457e4eebf8","resolution":{"observed_at":"2026-08-07T14:36:16.180321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:15.841955Z","title":"On instability mechanisms for inverse problems","venue":null,"work_id":"4f69cf64-7922-42b6-91ec-66d82043b801","year":2021},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.778913Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:4c999a894fbf830cb568289da3f57c0a3d7f3b87c1d38a747cd7b8360258e880","observation_id":"a9859385-205b-4cbf-bc2f-ca7345b46377","resolution":{"observed_at":"2026-08-07T14:36:15.982699Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.09528","last_updated":"2022-08-19T19:28:36Z","snapshot_observed_at":"2026-08-03T14:08:49.569163Z","submitted_at":"2022-08-19T19:28:36Z","title":"The fractional $p\\,$-biharmonic systems: optimal Poincar\\'e constants, unique continuation and inverse problems","version":1},"cited_work":{"arxiv_id":"2208.09528","doi":null,"metadata_source":"pith","pith_arxiv_id":"2208.09528","snapshot_observed_at":"2026-08-07T14:36:13.774931Z","title":"The fractional $p\\,$-biharmonic systems: optimal Poincar\\'e constants, unique continuation and inverse problems","venue":"math.AP","work_id":"b825c57b-f6b6-4adc-a786-3585ced4551b","year":2022},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.852270Z"},"links":{"cited_paper":"/paper/2208.09528","citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:23635a8a9b5333bb8eb66ea1c511bf36ca53301c7a0a51d821edd2fea56a39eb","observation_id":"8ea69e7f-c2f4-450f-8c82-5bfc78bd1d12","resolution":{"observed_at":"2026-08-07T14:36:13.866991Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:15.574461Z","title":"Inverse problems for fractional semilinear elliptic equations","venue":null,"work_id":"2e9d8410-bc3a-4ef7-b0f1-b36888c0de8f","year":2022},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.916931Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:8be7ce16d962832c6e77c5c0dd47450fe82bcee43caa11f66598ad3b3c61c7a2","observation_id":"177d18b6-43c0-484d-9388-1f7a594670d9","resolution":{"observed_at":"2026-08-07T14:36:15.685143Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:15.350944Z","title":"Exponential instability in an inverse problem for the S chr\\\" o dinger equation","venue":null,"work_id":"c4863afc-abdd-49fb-8707-7bf73b6bf4fc","year":2001},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:12.999465Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:1c35fefa6afd46b708763a662572bc88548504f0aa60571e7abef9aaa61d770c","observation_id":"c3051d74-7dc9-4e94-a1b2-b08cd4b4a917","resolution":{"observed_at":"2026-08-07T14:36:15.478694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:15.125165Z","title":"Maz'ya and Tatyana O","venue":null,"work_id":"c605ecd0-d423-4186-b3cd-dd1ec81ae07a","year":2009},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:13.079558Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:0e22a2d694d681fad7fdee055855bc4508ba9205b9ce3c43ba11a60ca27ace4f","observation_id":"f5a47341-9ca0-49e4-baa6-800dfdfb7fe8","resolution":{"observed_at":"2026-08-07T14:36:15.240645Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:14.952518Z","title":null,"venue":null,"work_id":"c00569f9-9b5b-4b68-aae1-17870cebc09d","year":1988},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:13.175699Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:8d1fa9754c2814c90a920dbcc9811c3f8ff34f1ad545ba3db80a39f64c2fa3cf","observation_id":"706c53bf-59c3-4696-a6b0-7bf22d7bb645","resolution":{"observed_at":"2026-08-07T14:36:15.023339Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:14.805788Z","title":"Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations","venue":null,"work_id":"dffd9398-f996-4711-b186-0ff811610a35","year":1996},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:13.255714Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:c6e54221dbf03373f7b450fe29d0582d41b45a021c105c8d30c4eb78c30945ea","observation_id":"4c2321db-a588-47f9-9064-e273f6b56312","resolution":{"observed_at":"2026-08-07T14:36:14.869431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:13.317622Z","title":"The fractional C alder\\' o n problem: low regularity and stability","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:13.317622Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:119be8b7bdbff7a31587e65bd23a52b33f355f03d9cedcf5297a9ac3d27e1dc9","observation_id":"387a40b7-1a17-45e2-a998-636343028d9d","resolution":{"observed_at":"2026-08-07T14:36:13.317622Z","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":"2026-08-07T14:36:14.593496Z","title":"Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data","venue":null,"work_id":"ce864fa6-a2e6-462d-9612-1a087bb332b2","year":2023},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:13.430615Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:e6c56bcb733248b437396b4b74fa17750782ea29563aac0986ff5f67bad904a3","observation_id":"94eb3e7b-fdeb-410e-a443-dc74c1c60fa1","resolution":{"observed_at":"2026-08-07T14:36:14.673797Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:14.458641Z","title":"Fractional C alder\\'on problems and P oincar\\'e inequalities on unbounded domains","venue":null,"work_id":"e4042568-65ce-4b1f-a3fa-b263051bd4e7","year":2023},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:13.512109Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:673dc012b644260ff52c91734dd927306dc648fd96baa607e7b3f43c49d5da41","observation_id":"02f2447c-a403-4e90-92d3-7254e3a2c89d","resolution":{"observed_at":"2026-08-07T14:36:14.518236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:13.575503Z","title":"Low regularity theory for the inverse fractional conductivity problem","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:13.575503Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:5020ada4362038fd99eed21ace46202eb92656c4750e794d6672666b9a122f45","observation_id":"cbc86aad-a45a-4d13-8137-9e0fb62d2433","resolution":{"observed_at":"2026-08-07T14:36:13.575503Z","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":"2026-08-07T14:36:14.257824Z","title":"A global uniqueness theorem for an inverse boundary value problem","venue":null,"work_id":"f9d5a08b-0962-43af-888c-c4ce5c1fbd19","year":1987},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:13.630671Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:91b20e4d6cbb79b6d66c9679d072c9278f14e3629466fe684629808b34dd566c","observation_id":"2376f55e-df48-4ca4-816c-d8a72da7adec","resolution":{"observed_at":"2026-08-07T14:36:14.371614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T14:36:14.132191Z","title":"30 years of C alder\\' o n's problem","venue":null,"work_id":"6e748e23-51ad-45d7-a098-7067d2bc3cb0","year":2012},"citing_paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-07T14:36:13.690127Z"},"links":{"citing_paper":"/paper/2505.18567"},"observation_digest":"sha256:3793e93986ccc1bfe71fa5f25956ac5829d101f1d6112dbae4ac5061002f734f","observation_id":"ab903b24-3977-4d4e-8211-517eac959d98","resolution":{"observed_at":"2026-08-07T14:36:14.183932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.18567","last_updated":"2025-05-24T07:16:25Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-07T14:27:14.746701Z","submitted_at":"2025-05-24T07:16:25Z","title":"Partial data stability for the inverse fractional conductivity problem"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":2,"verified_fuzzy":25},"total_outbound_references":36},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2505.18567."}