{"as_of":"2026-08-08T15:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aa00d34f73925ef11ee5582bb1e9d48bb009a4e79735a311dfbadd2bce94991d","coverage":[{"denominator":41,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":41,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T07:03:47.673911Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"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/2607.27489/citation-record","integrity":"/paper/2607.27489/integrity","json":"/paper/2607.27489/citation-record.json","paper":"/paper/2607.27489"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T07:03:43.474328Z","title":"Almaraz, Convergence of scalar-flat metrics on manifolds with boundary under a Yamabe- type flow,J","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:43.474328Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:5d3e309cbe8125d1e689ec20d7e1af86d037765ded89e9dce85a9418fba7555a","observation_id":"c467bdbd-3b28-49fe-ad9f-01b5915c2289","resolution":{"observed_at":"2026-08-01T07:03:43.474328Z","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":"2026-08-01T07:03:43.545058Z","title":"Ammann and E","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:43.545058Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:2abd405c5b221e215368040f5f2a41ae352d5b58a539088071719251017f8724","observation_id":"2dcca20c-e3ee-4ed4-b07b-cd05de437154","resolution":{"observed_at":"2026-08-01T07:03:43.545058Z","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":"2026-08-01T07:03:43.690860Z","title":"Brezis,Functional Analysis, Sobolev Spaces and Partial Differential Equations, Universi- text, Springer, New York, 2011","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:43.690860Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:c71d022bd0096323580419316225b57f9bec6373b31c76abdc4c399d4225aa29","observation_id":"0ad67522-6713-48d7-9591-b7fea504c00a","resolution":{"observed_at":"2026-08-01T07:03:43.690860Z","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":"2026-08-01T07:03:43.826313Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:43.826313Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:b604c187cc2ff20e540b71685a0d9b439cc89d10aab6dc468a665a4c3a2fc879","observation_id":"b9bcb801-2bb9-44e4-aba4-0b39a44ac59c","resolution":{"observed_at":"2026-08-01T07:03:43.826313Z","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":"2026-08-01T07:03:43.992187Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:43.992187Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:ac1504ebe8cad6e78ac02dd6578baf000ae78445b0f14c09a8562c5048862128","observation_id":"b2c78086-1372-4b14-8ccf-791c01bf6058","resolution":{"observed_at":"2026-08-01T07:03:43.992187Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2511.10553","last_updated":"2026-04-22T06:30:59Z","snapshot_observed_at":"2026-07-06T22:35:46.018050Z","submitted_at":"2025-11-13T17:54:30Z","title":"Sign-changing solutions to the Yamabe problem on manifolds with boundary","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2511.10553","snapshot_observed_at":"2026-08-01T07:03:44.126072Z","title":"Clapp, B","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:44.126072Z"},"links":{"cited_paper":"/paper/2511.10553","citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:01ac494f6415f36d8a1544a7ff8d2cf83c16ac8e943131cd1e6eb397de704034","observation_id":"9a21b450-e2f5-425e-96e7-4c1485e84842","resolution":{"observed_at":"2026-08-01T07:03:44.126072Z","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":"2026-08-01T07:03:44.311936Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:44.311936Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:1297e6e3d397d49e86e80d361ad099f36155273a8bc2875ee04608a264e80c28","observation_id":"a9ed4d86-9b9d-4124-8357-bd79b6c535ce","resolution":{"observed_at":"2026-08-01T07:03:44.311936Z","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":"2026-08-01T07:03:44.446101Z","title":"El Sayed, Second eigenvalue of the Yamabe operator and applications,Calc","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:44.446101Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:9798f97caef182f51c13edaecd6ccc64e370347b37dd053291431cbc7fc463d8","observation_id":"1c77965c-57c1-4612-9d20-59d959855187","resolution":{"observed_at":"2026-08-01T07:03:44.446101Z","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":"2026-08-01T07:03:44.580144Z","title":"El Soufi and S","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:44.580144Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:4d5ccbd451568ff1e9d0b17fe2bffa0e47a09403e880048cf84b7523ee712ae9","observation_id":"aca8d88f-22b5-45a0-a24d-bd9f3e02202e","resolution":{"observed_at":"2026-08-01T07:03:44.580144Z","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":"2026-08-01T07:03:44.722302Z","title":"El Soufi and S","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:44.722302Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:618d3d80b84540f369aa45bba3b24cd83a577d70bd4708b51d4b54d9d7ab2f93","observation_id":"f4ebb1e7-c726-4a3c-ae18-31aa55c7c5b0","resolution":{"observed_at":"2026-08-01T07:03:44.722302Z","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":"2026-08-01T07:03:44.850807Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:44.850807Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:1e77fc2e37806abea19abc7304c45ccb361a8df590d07e425244e7c306c33084","observation_id":"117c8fb1-0f26-44e4-b13b-6fea7ecd8385","resolution":{"observed_at":"2026-08-01T07:03:44.850807Z","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":"2026-08-01T07:03:44.971372Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:44.971372Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:c9a9de1715ecfb189ec4838bfeaa47c683b10057c50bd999551eca4f7d50c164","observation_id":"513612bc-a185-4e0c-8e8b-d6a961970da4","resolution":{"observed_at":"2026-08-01T07:03:44.971372Z","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":"2026-08-01T07:03:45.131656Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:45.131656Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:015caf196168b494ad0b2db85e28f6b82d6faa02469983c60f3f91e7637ca396","observation_id":"cbdc4718-531b-47fd-8942-6f295a9912b3","resolution":{"observed_at":"2026-08-01T07:03:45.131656Z","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":"2026-08-01T07:03:45.271397Z","title":"Fraser and R","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:45.271397Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:f49b6888954540ad90c6a2f27c4fcd023c546cd752752d1b6775a2eca2ca4077","observation_id":"f2c3c7e8-254c-43fe-b29c-0fe14ac66d22","resolution":{"observed_at":"2026-08-01T07:03:45.271397Z","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":"2026-08-01T07:03:45.415815Z","title":"Fraser and R","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:45.415815Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:30f7b1be46a9f501619f713cd2103e8e1dded65ef650c5b18f30950868b1acb5","observation_id":"64559e3b-88eb-4e37-9545-a430c1107cc5","resolution":{"observed_at":"2026-08-01T07:03:45.415815Z","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":"2026-08-01T07:03:45.501038Z","title":"Gilbarg and N","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:45.501038Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:99c955f155c7d2439bf4fb784bb74062ccb58fb1177966f04a249a1cb4a03f67","observation_id":"93fe002a-875e-4576-9425-81dde8e8e9ba","resolution":{"observed_at":"2026-08-01T07:03:45.501038Z","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":"2026-08-01T07:03:45.565976Z","title":"del Mar Gonz´ alez and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:45.565976Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:150a19255c290a63ab79336a8901722516c1fd4c596529668b5bd81189e5d1bd","observation_id":"935654eb-977a-47fe-acc0-1258834a9bc3","resolution":{"observed_at":"2026-08-01T07:03:45.565976Z","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":"2026-08-01T07:03:45.635889Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:45.635889Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:b9b8d29bacf6bda5dc5963adabd7eb320a761879b7cd1c4c2e74d4a86e23fa1d","observation_id":"da7c933c-5bf5-4ee2-98eb-dbe1fdab515f","resolution":{"observed_at":"2026-08-01T07:03:45.635889Z","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":"2026-08-01T07:03:45.720376Z","title":"Hamanaka and P","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:45.720376Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:0516636cfd221aa38d5a4b6a26780322aba173ef5c92b7da39cecae4bf2fff3a","observation_id":"f58e990c-f14f-4d18-b438-8056f130a4d3","resolution":{"observed_at":"2026-08-01T07:03:45.720376Z","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":"2026-08-01T07:03:45.814123Z","title":"Hebey,Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities, Courant Lec- ture Notes in Mathematics, vol","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:45.814123Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:351ba8d1d30e1c84ae5b14c0eb80d18015258f3224c7f166671c88684a894676","observation_id":"5442febb-eb51-4a3b-9f70-9bb1d8460308","resolution":{"observed_at":"2026-08-01T07:03:45.814123Z","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":"2026-08-01T07:03:45.915862Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:45.915862Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:29d698dadfbd2f5e7155203b374848122011151aa41db2222d11ec1f30cdfb3e","observation_id":"59937821-ed16-43d0-ae7c-57754104b629","resolution":{"observed_at":"2026-08-01T07:03:45.915862Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.08280","last_updated":"2025-06-03T09:42:26Z","snapshot_observed_at":"2026-08-07T15:47:38.655167Z","submitted_at":"2025-05-13T06:50:50Z","title":"Extremising eigenvalues of the GJMS operators in a fixed conformal class","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.08280","snapshot_observed_at":"2026-08-01T07:03:46.015421Z","title":"Humbert, R","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:46.015421Z"},"links":{"cited_paper":"/paper/2505.08280","citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:a530394e8e354e47ff49c46d2b8a47b46314d3a44f189936012728683e4324b3","observation_id":"b749a09f-1a4b-4e50-bb4a-e1caf61e5f45","resolution":{"observed_at":"2026-08-01T07:03:46.015421Z","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":"2026-08-01T07:03:46.171870Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:46.171870Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:3efb0cc7285d1d3194f789ff33efc592327556181bfb4e71a7e6b5bcf1cb3521","observation_id":"97bd7146-5505-4757-b246-b5176d07214d","resolution":{"observed_at":"2026-08-01T07:03:46.171870Z","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":"2026-08-01T07:03:46.275079Z","title":"Karpukhin, N","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:46.275079Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:cb78b2f9f764ac87e61cb9897030e42e0d18380ef06e35809cd142eacedb27e0","observation_id":"762e8abe-4500-49c9-9704-ffa0187632a5","resolution":{"observed_at":"2026-08-01T07:03:46.275079Z","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":"2026-08-01T07:03:46.382256Z","title":"Karpukhin and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:46.382256Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:0180ed4e6aa340f73e302e13fd5d621c4b6f5981981a06334f1c9574e7ea6366","observation_id":"b1b038d1-d523-44be-90ac-fc653875ec93","resolution":{"observed_at":"2026-08-01T07:03:46.382256Z","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":"2026-08-01T07:03:46.462510Z","title":"Kokarev, Variational aspects of Laplace eigenvalues on Riemannian surfaces,Adv","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:46.462510Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:1b2c8a65789713dba7e89bf87c0bcd8ea0b2f8cb42eb30f8126bbdf31e3f6b14","observation_id":"41e39275-4c83-4ce8-99cd-524970dc58c1","resolution":{"observed_at":"2026-08-01T07:03:46.462510Z","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":"2026-08-01T07:03:46.532404Z","title":"Lassas, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:46.532404Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:4669577ff330048d2257f500c0e5f780a34c6905d112cc82ecd4f1b23d77f190","observation_id":"8ac4f9f9-9286-4053-a36c-29e6900d8752","resolution":{"observed_at":"2026-08-01T07:03:46.532404Z","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":"2026-08-01T07:03:46.615277Z","title":"Laurain and R","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:46.615277Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:846529fa904ef43ddbbb8b250429c52a2d8b1ca9f47f5a043721626d192780d8","observation_id":"fea7ca14-d533-4bbf-bd42-55b7973655fc","resolution":{"observed_at":"2026-08-01T07:03:46.615277Z","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":"2026-08-01T07:03:46.709157Z","title":"Li, Unique continuation for Robin problems with non-smooth potentials,J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:46.709157Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:4e15b1aa9a18600df50e9e19843c57eefc60e71ef33db78666f0bea22c8dcb2f","observation_id":"a00836e6-b91c-44b0-a1b6-e54bc6691852","resolution":{"observed_at":"2026-08-01T07:03:46.709157Z","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":"2026-08-01T07:03:46.822007Z","title":"Winkert, On the boundedness of solutions to elliptic variational inequalities,Set-Valued Var","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:46.822007Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:dcba008c3028804091d0d0e09b8b34635ed7a972c23d10b04efbbbd10fcb0b00","observation_id":"86d294a7-3a64-46d4-9a8f-501e9d4c8722","resolution":{"observed_at":"2026-08-01T07:03:46.822007Z","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":"2026-08-01T07:03:46.893073Z","title":"Marino and P","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:46.893073Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:97ada566031f2528a6df4d19c36e09fdcbf1ebb4b8d37c8d80b302af81d5cef1","observation_id":"b7b6c4b5-c29a-4977-9948-e8ba0e0940fd","resolution":{"observed_at":"2026-08-01T07:03:46.893073Z","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":"2026-08-01T07:03:46.979484Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:46.979484Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:f3d6a9c5e26513207fad49765246c72fd9ee4de4a8881114eebe5c75290dea3e","observation_id":"0f6851cd-0b0d-4dee-9a63-ebed7b87e73e","resolution":{"observed_at":"2026-08-01T07:03:46.979484Z","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":"2026-08-01T07:03:47.059637Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:47.059637Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:f8bf396958ed327c482f987508cc3ec0a43cbed2e2aa0cc86924007380fc721c","observation_id":"16d0a92a-4be0-4de9-baf1-b68e7b822ace","resolution":{"observed_at":"2026-08-01T07:03:47.059637Z","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":"2026-08-01T07:03:47.175940Z","title":"Nadirashvili, Berger’s isoperimetric problem and minimal immersions of surfaces,Geom","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:47.175940Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:69427c0b9699fc7fa516532d7568e206a99ee02a69c13216b6779ad0c7f889ce","observation_id":"b0aebd69-7a98-4a33-86dd-caa6cc18cf98","resolution":{"observed_at":"2026-08-01T07:03:47.175940Z","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":"2026-08-01T07:03:47.247343Z","title":"Petrides, Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces,Geom","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:47.247343Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:aa02bbce9aa91918d9cfcf19f3f3bcb00d80ebca2f2b001c452341b19bad2eb0","observation_id":"114571eb-7f22-4f08-9ee4-3dee9af84c8c","resolution":{"observed_at":"2026-08-01T07:03:47.247343Z","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":"2026-08-01T07:03:47.335716Z","title":"Petrides, Maximizing Steklov eigenvalues on surfaces,J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:47.335716Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:451422aa55b1d90e0463403b913622260035c276eef1e8e9d3f5d3f38600a4c3","observation_id":"c3f20e65-e276-4c2e-a621-322e85a72f18","resolution":{"observed_at":"2026-08-01T07:03:47.335716Z","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":"2026-08-01T07:03:47.413650Z","title":"P´ erez-Ayala, Extremal eigenvalues of the conformal Laplacian under Sire–Xu normaliza- tion,Nonlinear Anal.208(2021), Article No","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:47.413650Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:10373d4b25428c28686e82b93dd753ec38c9b92920e3a624769cf5d4f1d782f7","observation_id":"786c79b0-9a1c-42ab-b036-dd9b7b9f46ae","resolution":{"observed_at":"2026-08-01T07:03:47.413650Z","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":"2026-08-01T07:03:47.493882Z","title":"P´ erez-Ayala, Extremal metrics for the Paneitz operator on closed four-manifolds,J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:47.493882Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:10e56c9ed8b696d3a6fa72acc86e2067685b07e2e121a95dd721b69a35f8b70b","observation_id":"71acf416-98bb-46d8-b893-bfcb4b636a48","resolution":{"observed_at":"2026-08-01T07:03:47.493882Z","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":"2026-08-01T07:03:47.574970Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:47.574970Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:567219cdaacd970d89ec5d5fee2c1f16c9dd70fe8a362278eb77e387f05cc397","observation_id":"c8ac5b12-5250-409d-8aa4-deae4d255dfd","resolution":{"observed_at":"2026-08-01T07:03:47.574970Z","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":"2026-08-01T07:03:47.634937Z","title":"Vinokurov, Conformal optimization of eigenvalues on surfaces with symmetries,J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:47.634937Z"},"links":{"citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:5ea59c36c89ce856bb8223d9f21d8a1e1718fcb64265cce604c98c7f8010a1e0","observation_id":"70d856a6-2420-486f-9c26-291c921792bd","resolution":{"observed_at":"2026-08-01T07:03:47.634937Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.09328","last_updated":"2026-07-30T04:20:30Z","snapshot_observed_at":"2026-08-07T04:48:46.231415Z","submitted_at":"2025-06-11T02:07:08Z","title":"Maximizing higher eigenvalues in dimensions three and above","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.09328","snapshot_observed_at":"2026-08-01T07:03:47.673911Z","title":"Vinokurov, Maximizing higher eigenvalues in dimensions three and above, arXiv:2506.09328 [math.SP], 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-01T07:03:47.673911Z"},"links":{"cited_paper":"/paper/2506.09328","citing_paper":"/paper/2607.27489"},"observation_digest":"sha256:e23cc80c7ae8be586bf5556954ee53f2488dd24c6d0795a12e171befe8f0deb8","observation_id":"b6fd2e9d-15f0-4296-8ebb-1546f469126d","resolution":{"observed_at":"2026-08-01T07:03:47.673911Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.27489","last_updated":"2026-07-29T22:08:02Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-07T05:58:29.350911Z","submitted_at":"2026-07-29T22:08:02Z","title":"Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":41,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":41},"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 8 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2607.27489."}