{"as_of":"2026-08-08T14:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fd07831476fb23d76b6009bd3c31d9342bc73321016555ce8e4ff5eb5accd733","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-17T21:57:41.978865Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T07:03:44.126072Z","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":[{"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"}}],"links":{"evidence":"/evidence","html":"/paper/2511.10553/citation-record","integrity":"/paper/2511.10553/integrity","json":"/paper/2511.10553/citation-record.json","paper":"/paper/2511.10553"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2008ca8e-b16f-4859-8d76-80b52f897286","year":2022},"citing_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},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:bcb9b84f002f8e341e8f5d97a5e4abdfd1497cee8b9c0e23bd0a629e961ffbd3","observation_id":"03ded60c-19b2-48a0-8627-6ed17a34bdbe","resolution":{"observed_at":"2026-05-17T22:00:21.862256Z","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":"2026-06-05T21:23:00.469572Z","title":"2, 377–412","venue":null,"work_id":"38b1e82f-dfcd-4165-9055-52e7d53bd0f2","year":2006},"citing_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},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:356fa2a5305af94b6b695ca4dc2ef1963d8352d5eb41b7fea0e7a347d00b17f9","observation_id":"e48e3409-5753-4590-aea1-8051c1ec5a06","resolution":{"observed_at":"2026-05-17T22:00:21.860054Z","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":"2026-06-05T21:23:00.469572Z","title":"3, 269–296","venue":null,"work_id":"cb865c4a-e77b-4ad5-a491-59254e228247","year":1976},"citing_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},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:6514688620169f460937315201401f216b61f6cc22e1e1af224735a675b5283f","observation_id":"e644761a-c7cc-42c4-99e4-fcc3f4952053","resolution":{"observed_at":"2026-05-17T22:00:21.790733Z","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":"2026-06-05T21:23:00.469572Z","title":"1, 213–242","venue":null,"work_id":"05475866-5975-4e3d-87ee-b954f25371f4","year":1993},"citing_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},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:70d1a261251d8c4dae9de66b16d65627d353cb80518aa6b666c53ceb3b56bbd2","observation_id":"cfb5fb6b-781f-4d4f-be91-8710ba5cab22","resolution":{"observed_at":"2026-05-17T22:00:21.857721Z","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":"2026-06-05T21:23:00.469572Z","title":"2, 154–206","venue":null,"work_id":"0dceb2d9-c9e2-453c-b244-1f1e7d9f9338","year":1984},"citing_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},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:c40df4b22ad959f0d10ddd96161486640eca7f83473de33ad9665e036e069275","observation_id":"797aaaf9-4d58-4459-910d-ea30c0a3664e","resolution":{"observed_at":"2026-05-17T22:00:21.793740Z","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":"2026-06-05T21:23:00.469572Z","title":"6, 3042–3060","venue":null,"work_id":"548e34cb-609c-4b46-8716-63b4ed080d1e","year":2016},"citing_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},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:b43d015c1a9e43cc38882d2e93879f44a440be32ed135fb3608e4295cd5c8179","observation_id":"0763407d-9826-4177-96ff-b1b176b133e2","resolution":{"observed_at":"2026-05-17T22:00:21.855234Z","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":"2026-06-05T21:23:00.469572Z","title":"10, Paper No","venue":null,"work_id":"8a1d7825-16d1-497a-b08d-21345bd9006d","year":2024},"citing_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},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:ffb4c6da38ddda52d5573709d616bc71a642984122a82741feb761d78c5df831","observation_id":"b4217825-436a-4af0-a6ba-7114b083c022","resolution":{"observed_at":"2026-05-17T22:00:21.852663Z","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":"2026-06-05T21:23:00.469572Z","title":"5, Paper No","venue":null,"work_id":"f38a194a-c974-47a3-8f11-8350d8c83aab","year":2017},"citing_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},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:d4ecdb45efbc9743c770c09791ab8d6c4fc138ed1635b9d99a04e3578dee397e","observation_id":"31f12e65-8117-4b15-a646-6eece68e22e8","resolution":{"observed_at":"2026-05-17T22:00:21.849534Z","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":"2026-06-05T21:23:00.469572Z","title":"6, 4327–4338","venue":null,"work_id":"a2f43059-13fe-488e-824b-5ce77e2363a1","year":2021},"citing_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},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:2ade5f513269e83a07e76aa842215ee125413626366500ad9e9a533fd5e51a81","observation_id":"cda9ed3e-fb7a-4ac2-bb3d-8d5bbe41c1c5","resolution":{"observed_at":"2026-05-17T22:00:21.818059Z","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":"2026-06-05T21:23:00.469572Z","title":"9, 3713–3770","venue":null,"work_id":"34e86240-18fc-4681-ac94-9a9009ed05a3","year":2025},"citing_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},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:71a406b03e784e8c7a3116ea329f5b4fca9d665a25e17ad0a137043fac071d76","observation_id":"dcfa8369-a85f-480d-beab-56899f00a4ce","resolution":{"observed_at":"2026-05-17T22:00:21.844290Z","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":"2026-06-05T21:23:00.469572Z","title":"4, 463–480","venue":null,"work_id":"2c8aba5c-51e5-46f7-b433-4950171a5661","year":2005},"citing_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},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:856e1a9aebc6b28b034f492cf27a53cddd0c4a90327e2a1757816fba47424435","observation_id":"0b9e0e2c-065c-447e-b56c-bee56de8ffd3","resolution":{"observed_at":"2026-05-17T22:00:21.805605Z","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":"2026-06-05T21:23:00.469572Z","title":"596, Springer-Verlag, Berlin–New York","venue":null,"work_id":"66cf77e1-0476-4d06-987f-c6280df9b36a","year":1977},"citing_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},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:efb4e19a6c4f288d7c8aa274a4b870af3149012fb04c27b853909730c2068605","observation_id":"d0a076d4-4f34-4147-b070-50d8c903cef5","resolution":{"observed_at":"2026-05-17T22:00:21.841633Z","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":"2026-06-05T21:23:00.469572Z","title":"9, 2568–2597","venue":null,"work_id":"cceeb484-9c93-431b-a5ac-73d778018a92","year":2011},"citing_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},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:07c6e74b8f703879a3cf519566136d8c753142417c6d91ed4b3979830a1c4f02","observation_id":"698b9414-22e2-4e1d-93ef-eabe2940b60d","resolution":{"observed_at":"2026-05-17T22:00:21.811078Z","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":"2026-06-05T21:23:00.469572Z","title":"1, 209–237","venue":null,"work_id":"b9db4933-2d65-4a81-9c64-8808ae8204fc","year":2013},"citing_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},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:fff85ef3ab5c3fe26460b4a3b988d126abdc3e3991112beb1c8b7d17d8bf8315","observation_id":"29fb8da7-5f88-4d18-b2d0-9412b7816000","resolution":{"observed_at":"2026-05-17T22:00:21.839168Z","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":"2026-06-05T21:23:00.469572Z","title":"2, 331–335","venue":null,"work_id":"e1ec8c54-c59f-471b-8aa9-0341461dc35e","year":1986},"citing_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},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:742b2342abc8df0adf6e5e1198f4b08036da53742e367616ed096910eeefba72","observation_id":"2b3b6af8-8807-4741-8b28-023a78f9f71f","resolution":{"observed_at":"2026-05-17T22:00:21.837172Z","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":"2026-06-05T21:23:00.469572Z","title":"Escobar,Sharp constant in a Sobolev trace inequality, Indiana University Mathematics Journal37(1988), no","venue":null,"work_id":"a0550625-7525-4f44-b121-6ac9a1743796","year":1988},"citing_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},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:b75021925bd85cbd857a2baa1d474602dea2ddc68d5d02629543e1c1d4678791","observation_id":"c931fcac-3497-40f4-85b0-351bb0529d64","resolution":{"observed_at":"2026-05-17T22:00:21.834894Z","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":"2026-06-05T21:23:00.469572Z","title":"7, 857–883","venue":null,"work_id":"e6b5d80e-f704-4e71-b037-461b8dc37859","year":1990},"citing_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},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:3181b93ea127a6f6cae43c5e87fb06eeae1ad0046c9044f0b9950f8b2ad08591","observation_id":"d5b8ed2e-ab8f-4fc4-9e7c-60c7672b2450","resolution":{"observed_at":"2026-05-17T22:00:21.874333Z","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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5d46c899-ec38-4c73-959b-aa26c5c6026c","year":1992},"citing_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},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:b2da77d2b15b183c51e0735d83124a93e25bb4102c07b042228b37a6093befcc","observation_id":"dd27fad7-719f-4cd7-9609-77320cc645f7","resolution":{"observed_at":"2026-05-17T22:00:21.830312Z","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":"2026-06-05T21:23:00.469572Z","title":"1, 21–84","venue":null,"work_id":"5434d629-799a-4e90-b891-72f0b23000f5","year":1992},"citing_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},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:f7c6da5fd4d34fc848714ba5b76b78b569988cc7bcd0a55895819100ecb3a62f","observation_id":"07278392-255b-4897-819d-cdfec399ea3e","resolution":{"observed_at":"2026-05-17T22:00:21.866766Z","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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"eaf698cd-04ab-4f56-a54b-a30d77d1a8c2","year":1993},"citing_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},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:566a84f5b48fd9427a30add7dc3e238d4e78d65e794926eff0e002964def885a","observation_id":"6fe897a7-066c-4fc8-b27a-f9420dd0500d","resolution":{"observed_at":"2026-05-17T22:00:21.824514Z","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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6bfc7e2a-7aef-4d61-ac25-34b25b768f01","year":1996},"citing_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},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:0b8b371854beedbd17a43a6c1d778798162d3b05152c62d04567ab4d7ae494e5","observation_id":"0f9ea8f9-45a4-4e13-8f12-967ae0e48967","resolution":{"observed_at":"2026-05-17T22:00:21.876735Z","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":"2026-06-05T21:23:00.469572Z","title":"11, 6576–6597","venue":null,"work_id":"580622c2-924b-41c2-836f-b6f06b8a1411","year":2020},"citing_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},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:b2e3bd380f4c54e702efcfd5fcc3cf04c04b371da2c52093b22496026764248a","observation_id":"7be5a203-dd60-4174-af5e-3c7af5452009","resolution":{"observed_at":"2026-05-17T22:00:21.822385Z","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":"2026-06-05T21:23:00.469572Z","title":"3, 489–542","venue":null,"work_id":"f6618d46-4ced-40f8-987f-7b78deb9d6d3","year":1999},"citing_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},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:2f192f798a8baa2af3cf3cfe52cd4f00404efa5a357ce10a0da4c9a6f636356e","observation_id":"4e7fe11a-7b3d-4eaa-81c7-c3fa47f0589d","resolution":{"observed_at":"2026-05-17T22:00:21.886913Z","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":"2026-06-05T21:23:00.469572Z","title":"4, 809–869","venue":null,"work_id":"36b54aab-aa44-4b02-a837-c6850d579466","year":2000},"citing_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},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:404815607b12d93f9b38f57d8bed66e25c09915ead692398575bbc9468fbb4c0","observation_id":"b4467e6b-cd4a-4ab4-bc13-07aeea6ff671","resolution":{"observed_at":"2026-05-17T22:00:21.820167Z","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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"192d19ca-5322-43d3-a071-ac13b590073e","year":2017},"citing_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},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:5584260684b95835ee9984ea66d2c79ea5bf28200c670f353b713fed3f07f0eb","observation_id":"d133c08e-f751-41aa-94b1-5f606c21fb9b","resolution":{"observed_at":"2026-05-17T22:00:21.881800Z","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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2ce78f0a-fc25-4a9c-9bac-39a0cb5f52f6","year":2021},"citing_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},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:b8c31ce7d2eb0f997561076b03f065a350eab1425da5e9de7dd5762d5e42cee2","observation_id":"d8a3a9b9-c9f0-4a1b-a1e4-a8f0f112307a","resolution":{"observed_at":"2026-05-17T22:00:21.879198Z","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":"2026-06-05T21:23:00.469572Z","title":"1, Paper No","venue":null,"work_id":"e0cb6d90-af91-412c-bc9c-e411009398a9","year":2024},"citing_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},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:3e6c2f59713e1df5541d02a93504c05446beffc5c22e23e89a7bee377b6d187b","observation_id":"4c90073b-0a13-4da8-9aa0-2fd190beb6e1","resolution":{"observed_at":"2026-05-17T22:00:21.884692Z","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":"2026-06-05T21:23:00.469572Z","title":"6, 545–550","venue":null,"work_id":"1782ac91-21f3-4df6-b2db-f9e934a25e97","year":1997},"citing_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},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:a2c106c87f443ee2d7b2c801c85f1c5c17f95e663dabc1943a286806f3b1f5c2","observation_id":"0a10f66d-e3e0-42c5-9da6-b91a09664f02","resolution":{"observed_at":"2026-05-17T22:00:21.813582Z","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":"2026-06-05T21:23:00.469572Z","title":"Lee and Thomas H","venue":null,"work_id":"e3db0123-b95d-467a-8032-1cdd20899c58","year":1987},"citing_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},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:15463f268d8b898ccd289429a3931b1d9b1794a179e266b2eff43d78e2c1b873","observation_id":"c3ddcd1a-4455-449e-8f5e-b21267092f2d","resolution":{"observed_at":"2026-05-17T22:00:21.815678Z","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":"2026-06-05T21:23:00.469572Z","title":"3, 519–560","venue":null,"work_id":"5341441c-64b2-4434-a080-60b290541e63","year":2017},"citing_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},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:9c02cc2951d38da902875b342ddb526902270b5fd10dcd285013b9ae30efee23","observation_id":"8cb30eeb-631c-4c48-be2f-3b5520325316","resolution":{"observed_at":"2026-05-17T22:00:21.864417Z","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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"45597a6e-d5b9-456b-b1fa-2b19e1b23c53","year":2021},"citing_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},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:5300530122980a8a8d57243b0116b50657aecb90636126248f76e64456e84b61","observation_id":"25407b44-9f1b-4548-b82e-ef357437022c","resolution":{"observed_at":"2026-05-17T22:00:21.846717Z","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":"2026-06-05T21:23:00.469572Z","title":"10, 1395–1401","venue":null,"work_id":"f46d632c-76ea-4f4d-bb77-f73702fdb54c","year":2009},"citing_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},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:9a4e057a560faec2cea22e06df176b5f5cbee889269820373b8512fe1cbb4a57","observation_id":"8c480e0f-ed3d-4640-b5fd-9d5a4b3213af","resolution":{"observed_at":"2026-05-17T22:00:21.808453Z","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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f35d82db-e54d-41d8-a985-0f96ba9260f5","year":2022},"citing_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},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:35e0f8ce6dce924a0f99cdba699392d1973ebea18db84558f5a87929bb24c7ef","observation_id":"ff9d14cd-abc9-4c16-98d4-a1318fb0f777","resolution":{"observed_at":"2026-05-17T22:00:21.832514Z","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":{"arxiv_id":"2408.07823","last_updated":"2024-08-14T21:33:10Z","snapshot_observed_at":"2026-08-08T13:43:28.826440Z","submitted_at":"2024-08-14T21:33:10Z","title":"Nonexistence of minimizers for the second conformal eigenvalue near the round sphere in low dimensions","version":1},"cited_work":{"arxiv_id":"2408.07823","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.07823","snapshot_observed_at":"2026-07-01T12:25:43.325125Z","title":"2024 , bdsk-url-1 =","venue":null,"work_id":"21609944-2b6b-4acd-a8ad-69f11de8a4f1","year":2024},"citing_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},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"cited_paper":"/paper/2408.07823","citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:ea5b0b6d050c87be111cd80a8928816a28f620e82fef8c3108de0209116c4411","observation_id":"1501025a-642e-4193-bc45-0a7f0bb263be","resolution":{"observed_at":"2026-05-17T22:00:21.220772Z","resolver_source":"arxiv_id","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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"0da52c28-aad6-4374-80a2-05ffb7040007","year":1984},"citing_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},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:4b5912c97634642e04054503323439435085974b3f98fa347565b6274ffa2b1d","observation_id":"4381232c-b25c-491d-adad-ca524452f549","resolution":{"observed_at":"2026-05-17T22:00:21.799096Z","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":"2026-06-05T21:23:00.469572Z","title":"3, 165–274","venue":null,"work_id":"9e56779c-269c-4627-a722-a1a65c26cdf3","year":1968},"citing_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},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:a47be77edd7c9e28b04c98c57f45db453f0795dac0c053e3755f17bec630ca53","observation_id":"22402d68-fcbf-4066-8372-e11961646df8","resolution":{"observed_at":"2026-05-17T22:00:21.868838Z","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":"2026-06-05T21:23:00.469572Z","title":"Luigi Van- vitelli","venue":null,"work_id":"5f56fcf4-1380-49d6-b92b-97628bdca448","year":1960},"citing_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},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-17T21:57:41.978865Z"},"links":{"citing_paper":"/paper/2511.10553"},"observation_digest":"sha256:c07db8c1555ed7e08303e79fb503b28a2e4516722b1e212e1a8babe2a1b10f59","observation_id":"10cc15de-3b30-4bbd-ac80-b29039f43d26","resolution":{"observed_at":"2026-05-17T22:00:21.796567Z","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":"2511.10553","last_updated":"2026-04-22T06:30:59Z","latest_version":2,"primary_category":"math.DG","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"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":1,"verified_fuzzy":27},"total_outbound_references":37},"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 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2511.10553."}