{"as_of":"2026-08-08T02:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:52ebbbb0aee617babba18b100923a25a970aa5933520b78de6ab8642adad3281","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:19:29.136377Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2506.00697/citation-record","integrity":"/paper/2506.00697/integrity","json":"/paper/2506.00697/citation-record.json","paper":"/paper/2506.00697"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:19:32.758141Z","title":"Alexandrov","venue":null,"work_id":"05a1ff68-cf64-4ca9-b798-be5b4bb68a48","year":1958},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:27.270568Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:2d17a202436dbc2fcb9916b11a86b7b5b4f3f9e079a12f8ede62d4fa2594c7ab","observation_id":"05e2ac20-02d8-48c7-a363-2ed214747d50","resolution":{"observed_at":"2026-08-07T12:19:32.837270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:32.556354Z","title":null,"venue":null,"work_id":"e1ee21fe-8638-4667-bb59-581b55c78763","year":null},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:27.352926Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:e43e3731801a91a330f5e031d1504a82866ebd932b57cbcebd0539b0384d0c35","observation_id":"e5954e72-7841-4d8e-a5e2-c4dd43e8fc0d","resolution":{"observed_at":"2026-08-07T12:19:32.667784Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.05551","last_updated":"2025-01-09T19:51:31Z","snapshot_observed_at":"2026-07-06T20:18:58.432111Z","submitted_at":"2025-01-09T19:51:31Z","title":"Serrin's type Problems in convex cones in Riemannian manifolds","version":1},"cited_work":{"arxiv_id":"2501.05551","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.05551","snapshot_observed_at":"2026-08-07T12:19:29.269837Z","title":"Serrin's type Problems in convex cones in Riemannian manifolds","venue":"math.DG","work_id":"dac943ce-c99a-456e-a850-a4958f229eb9","year":2025},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:27.448898Z"},"links":{"cited_paper":"/paper/2501.05551","citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:6e9868f7289ae1d8717fc414c32d6d21e8d7a44e2f8c8fc0fdb95ad1404dbcd9","observation_id":"32324a81-3b88-4805-9fc0-ade8a1c39e91","resolution":{"observed_at":"2026-08-07T12:19:29.345167Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:32.351198Z","title":"Ciraolo and A","venue":null,"work_id":"f7d8d1ad-5172-48c1-b8b2-3cf4d650651a","year":2020},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:27.521051Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:78ce348e17eda81008d16300e74ca09fe0bd6f42cba3a2fa082b89ccde34fedb","observation_id":"fde78c2b-54c5-4628-af00-063cff107e85","resolution":{"observed_at":"2026-08-07T12:19:32.458994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:32.129221Z","title":"Ciraolo and L","venue":null,"work_id":"162d6862-1630-4fb1-a821-cdad7966cc0b","year":2017},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:27.601957Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:595033772ddefacb96e39d3cc6570f6a236e8b971171fb7c44c1ff41d6a83bca","observation_id":"9a177428-1c8a-4a8d-a6cb-f6449afedc0d","resolution":{"observed_at":"2026-08-07T12:19:32.243445Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:31.944568Z","title":"Ciraolo and L","venue":null,"work_id":"0377e4df-0787-49d4-925c-c6e980ed294e","year":2019},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:27.674438Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:a070f338ba1bb2cf04c93620e1a080b1282006d3e76db233cfddd861b95bc0e6","observation_id":"8d76d209-2e21-4f62-ad9c-5fd2c4d2d7dd","resolution":{"observed_at":"2026-08-07T12:19:32.039086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:31.760601Z","title":null,"venue":null,"work_id":"a8048512-6f74-42c0-9de8-fe97f879ceff","year":2018},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:27.756152Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:28caf1096693ee6d8331489ef0ee57ac131677b81c81b85f25b81687ec28aa33","observation_id":"937af7fb-b916-4085-804f-6af9f708f61d","resolution":{"observed_at":"2026-08-07T12:19:31.848331Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:31.574200Z","title":"Federer.Geometric Measure Theory, volume 153 ofDie Grundlehren der mathematischen Wissenschaften","venue":null,"work_id":"0ca84772-bee6-4ad4-8f80-68febc2d7600","year":1969},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:27.849032Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:f218fb31166c666095c629651803bad19882d498edbfee064d776cf13b2a0c61","observation_id":"330692de-0ecf-4d01-b519-67f048c6c587","resolution":{"observed_at":"2026-08-07T12:19:31.683734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:31.344765Z","title":"Gilbarg and N","venue":null,"work_id":"82dec3ce-cf51-46a7-8cb3-64cd6ed8fa70","year":2001},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:27.999391Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:eb03a04e666bb81f3b2a417ecb92c2aebe20c98dfc0c94d845f2ecf3f5d0eb59","observation_id":"1e6bb620-c5dc-4b2c-bc73-9da784cdd48d","resolution":{"observed_at":"2026-08-07T12:19:31.445693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:31.149422Z","title":"Hebey.Nonlinear analysis on manifolds: Sobolev spaces and inequalities, volume 5 ofCourant Lecture Notes in Mathematics","venue":null,"work_id":"171a8020-039d-4de8-aa83-fda7ca6e835a","year":1999},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:28.170908Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:f41b16599dd5cf176e1184a08fb8caff542d546a980d124e5f206587c65877eb","observation_id":"4df85505-f501-473f-9a51-234b5062b0f5","resolution":{"observed_at":"2026-08-07T12:19:31.253218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:30.985880Z","title":"Kumaresan and J","venue":null,"work_id":"9e433923-cc06-4e76-8720-821ac322b740","year":1998},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:28.384118Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:de83efe7a0ecf30761a4de65a323c29e4a8aa56b2a2f8c9d6ebe93e6ffb7d99c","observation_id":"1699a9ac-05f2-45c7-b9f3-5ac916b05b78","resolution":{"observed_at":"2026-08-07T12:19:31.076630Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:30.823579Z","title":"Lee and K","venue":null,"work_id":"ee554c11-77ca-490e-85a6-641731b84523","year":2023},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:28.493316Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:fed1beaea9e1333e4889e05d3a5000f1727bf63d4e4fefca198374c956d03171","observation_id":"0e26081e-3e44-4c10-97fc-37307968d75a","resolution":{"observed_at":"2026-08-07T12:19:30.910934Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:30.627085Z","title":"Lee and K","venue":null,"work_id":"5c399a1b-8f0b-4b9e-9fac-06d33b7829fc","year":2023},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:28.607066Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:0c0c6be5aeae6d37c0e45deb52ae5d11ae42b84b519113b2e355f8e44edd4033","observation_id":"dbd65e49-1c10-4d07-b78f-7f7a90061cb6","resolution":{"observed_at":"2026-08-07T12:19:30.727082Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:30.426381Z","title":null,"venue":null,"work_id":"69459098-ebe7-4ad6-b84d-bf9e1ed9f417","year":1991},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:28.689202Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:c0428dfcbbf956e2e9bf5820044872a9eae4a3ec227d0abc0334188f9e2e5080","observation_id":"09fe2fc5-0cbe-4397-beda-bd6defe397cf","resolution":{"observed_at":"2026-08-07T12:19:30.525568Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:30.249478Z","title":"Pacella and G","venue":null,"work_id":"62fb7821-300d-4646-9a43-28914d6994b2","year":2020},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:28.765840Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:c9c4d4a290e32dca2353a90c0a10890b6bfd305b834e0e7c0ca700716e64ba71","observation_id":"29082648-6ca2-40b7-ba1a-bf785ba025bb","resolution":{"observed_at":"2026-08-07T12:19:30.323169Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:30.059360Z","title":"Qiu and C","venue":null,"work_id":"2c35a000-ab51-4940-95c5-0d1f8f3df4ef","year":2017},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:28.834776Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:06ead40d3ed15dc98abec5a6b13d726154575196e869e793d1dd06d14851c0f9","observation_id":"11ef5599-c1b9-4dac-9d70-52fcaa882f0e","resolution":{"observed_at":"2026-08-07T12:19:30.138303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:29.846262Z","title":"Roncoroni","venue":null,"work_id":"a9c6d402-b3e2-4ea1-bfad-190baacb4c67","year":2018},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:28.913475Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:ecbf49f4ac9311c82218a7659116680a22101e943a7ceb0b1a3092408d5f2fad","observation_id":"24c4fbfb-55ef-49a7-a472-61ee7f514b03","resolution":{"observed_at":"2026-08-07T12:19:29.959907Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:29.636347Z","title":null,"venue":null,"work_id":"fa8fa831-04a4-4a73-8dca-cbcf6aa9435c","year":null},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:29.046339Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:6dcad4b64c0f79e3841224b1babf287c02a47c3b643631bf4173d6b3aa74d0ab","observation_id":"eee7297d-5a39-44ec-b71d-e8081c26140d","resolution":{"observed_at":"2026-08-07T12:19:29.715383Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:19:29.434447Z","title":null,"venue":null,"work_id":"dadacb75-8253-45f4-b8cd-2f41b685ac25","year":1971},"citing_paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T12:19:29.136377Z"},"links":{"citing_paper":"/paper/2506.00697"},"observation_digest":"sha256:04a1677e6f81a406cd15d6002946f6be886676e7e74f781ef9878b75dd1f9800","observation_id":"442a57c9-18be-4b9b-888c-4b6a9a3d13a9","resolution":{"observed_at":"2026-08-07T12:19:29.521249Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.00697","last_updated":"2025-05-31T20:08:02Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-07T11:57:40.581261Z","submitted_at":"2025-05-31T20:08:02Z","title":"Overdetermined elliptic problems on model Riemannian manifolds"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":1,"verified_fuzzy":13},"total_outbound_references":19},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.00697."}