{"as_of":"2026-08-13T13:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:df1ca862c9b7cc2d1bcbaf505b03d3e9971624a39af5933a93faa91092daa2ff","coverage":[{"denominator":67,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":67,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T13:50:20.593917Z","state":"measured"},{"denominator":67,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":67,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.16048/citation-record","integrity":"/paper/2411.16048/integrity","json":"/paper/2411.16048/citation-record.json","paper":"/paper/2411.16048"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.720040Z","title":"Azzam and X","venue":null,"work_id":"7f72c40e-c89c-48e8-a53a-fb0b2b7919f2","year":2015},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.258710Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:0a8edd4d9c6fb9dd44fe9692a89f5044995f2412d9cec648245c31a814aaf002","observation_id":"185f14eb-e62b-4b1b-969a-0877b5dc12b6","resolution":{"observed_at":"2026-08-12T13:50:21.725261Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.703646Z","title":"Alper, Rectiﬁability of line defects in liquid crysta ls with variable degree of orientation, Archive for Rational Mechanics and Analysis , 228 (2018), 309-339","venue":null,"work_id":"1fde89af-d8b2-4172-890a-9edec5fdee74","year":2018},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.264656Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:0f5882f33d4fb32705643e051917687251ae5bfc8afcafc48d39eb0da58a44eb","observation_id":"f3c2af0a-1338-46d8-8624-ca316835a769","resolution":{"observed_at":"2026-08-12T13:50:21.708912Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.687588Z","title":"Alper, On the singular set of free interface in an optim al partition problem, Communications on Pure and Applied Mathematics , 73 (2020), 855-915","venue":null,"work_id":"2b0146b1-f39a-4076-a99e-de717d232725","year":2020},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.269820Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:69a4f7c6d305e2b0ed6a27e587d31f93cbc0d132fe0a9bd0d4d2fe8959fa1f01","observation_id":"210d51a6-959a-4755-9cb7-0e7ef1b800c9","resolution":{"observed_at":"2026-08-12T13:50:21.692885Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.670449Z","title":"Bertozzi and M.C","venue":null,"work_id":"f4ddb77e-b079-4c1c-b9de-98206f5a1beb","year":1998},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.275180Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:f6b13f90a0d12b1ccf1cd73adbd0e3f232851ec1da42116e73f31a96f12c4376","observation_id":"4eb31e64-df9d-48da-bd56-4d1d5d60f2cc","resolution":{"observed_at":"2026-08-12T13:50:21.675876Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.654411Z","title":"Bertozzi and M.C","venue":null,"work_id":"72fd6124-15b2-4807-9354-128e1860888c","year":2000},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.280225Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:16fac17dc6793483d13817e61aeb4cf08c49e5021c1877326884d4ac195074d4","observation_id":"8ef15b81-5759-42e3-9f6e-416833521e07","resolution":{"observed_at":"2026-08-12T13:50:21.659682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.638433Z","title":"Bethuel, On the singular set of stationary harmonic ma ps, Manuscripta Mathematica , 78 (1993), 417-443","venue":null,"work_id":"1168648d-67b5-4e58-9cfb-044c94897626","year":1993},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.285575Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:1c8604772ad33b7ce4b87d488b02d390cebe2900b56d17b6be537f188d915bcd","observation_id":"99204a31-5822-48ef-8730-11567e4f7e62","resolution":{"observed_at":"2026-08-12T13:50:21.643678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.622260Z","title":"Caﬀarelli, The obstacle problem revisited, Journal of Fourier Analysis and Applications , 4 (1998), 383-402","venue":null,"work_id":"eac27cdd-9fdf-4a57-bab9-301229c195ff","year":1998},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.291500Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:567924f19278aaac8453a5d2b92e21137cbb036a0fba0e39a4c7d1b15f27cc48","observation_id":"2f97f64e-3a51-46bf-8bab-f4735ceb96c6","resolution":{"observed_at":"2026-08-12T13:50:21.627673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.607187Z","title":"Cheeger and A","venue":null,"work_id":"73180908-2b18-462c-9703-923032d92f72","year":2013},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.296532Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:ca649f32a809a27f52d29d06d8927a07498a32698e18b5c6b7dd982f3c66f694","observation_id":"9bf8ca30-ce1c-47a7-a660-91dc2b3e3c1c","resolution":{"observed_at":"2026-08-12T13:50:21.612233Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.592153Z","title":"Cheeger and A","venue":null,"work_id":"1749ac51-9050-4a57-b499-d68d745cbedd","year":2013},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.301541Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:be25899342e1005db27e37170b38af74c78067a361d1224fb28d3e065915c24b","observation_id":"5826c167-0322-4323-acf7-240e96943951","resolution":{"observed_at":"2026-08-12T13:50:21.596995Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.576928Z","title":"Cheeger, R","venue":null,"work_id":"d7a9e896-812d-4b8d-9754-7ccb89d35c22","year":2013},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.307114Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:1e1ba80a3c1b24242eb49be930f6469482bb5844fce527485d59ba3dcccbc4c3","observation_id":"2201586f-5321-4555-a569-cb375c2ae63a","resolution":{"observed_at":"2026-08-12T13:50:21.581699Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.561193Z","title":"Cheeger, R","venue":null,"work_id":"642506e3-72f3-4a3e-b77e-b470ceae0b44","year":2015},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.312327Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:d8fc87de10e3585a9ae906d13dd40e1e792f33eba33db216ac190e2aeb98eebd","observation_id":"8f798f23-7902-4fd2-a0fd-6e7ddf35079c","resolution":{"observed_at":"2026-08-12T13:50:21.566079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.545575Z","title":"D´ avila, K","venue":null,"work_id":"11c37db6-42ce-48aa-8abe-f351433d51e0","year":2016},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.317405Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:654dcab52eca5f98a07dc6d7c6789f2b45efd85d51110c22c7a471e302c2005a","observation_id":"498ee79b-b488-4626-905c-98dfed86ae17","resolution":{"observed_at":"2026-08-12T13:50:21.550438Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.528197Z","title":"D´ avila and A","venue":null,"work_id":"cfabf603-1b74-4ca0-8558-480bbe1ddac8","year":2008},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.322423Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:a64a0aafd734929edbe30b269508ace31e676b23e57215a525e13a192fd22037","observation_id":"60e25511-05be-4a09-bdb7-540b926836b5","resolution":{"observed_at":"2026-08-12T13:50:21.533258Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.511872Z","title":"D´ avila and J","venue":null,"work_id":"ee4d2394-f302-437c-bbc5-50ce5bfd096a","year":2012},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.327133Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:96c0c6b245e137539cf6ff7489815667ee21d83de2aa4fa768e1177c418a5720","observation_id":"dea36341-fcb8-491c-8872-d1c433a5c6e8","resolution":{"observed_at":"2026-08-12T13:50:21.517231Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.496616Z","title":"De Lellis, A","venue":null,"work_id":"00efcdfe-6b61-4200-8e18-13ecf5a94827","year":2018},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.331989Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:3dc42e99404e4c73502383face2dbb6b56f489c646ce88e399015c39813cbdfa","observation_id":"d1c45bb4-a588-4956-9d57-ffa8595d356d","resolution":{"observed_at":"2026-08-12T13:50:21.501562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.480958Z","title":"del Pino and G","venue":null,"work_id":"1cc53eb1-7b7c-40d9-9725-2b097dfc6c62","year":1996},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.336929Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:0453a5c250f62018c473ae9143bba61c82d9ff89ac554b01168b0d54964bda40","observation_id":"3e59afcb-cb4f-48f5-8e11-7a2c0b5fcf6d","resolution":{"observed_at":"2026-08-12T13:50:21.486214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.465191Z","title":"Du and Z","venue":null,"work_id":"f27f8015-5e58-4587-99f5-2c7c797b8c43","year":2009},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.341872Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:da3ea749b7b6e5eadcf544c3b1d9ddd0028039cb985a095a93a2135925ed7e04","observation_id":"29d79aa4-3b0e-4c76-8329-e7403c869c6f","resolution":{"observed_at":"2026-08-12T13:50:21.470319Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.448687Z","title":"Dupaigne, A","venue":null,"work_id":"933a9d27-8f31-4b3b-ab45-adf4739f2ca1","year":2006},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.346765Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:939c742ff4f823aea92b04e32e63f2a0dc52aaf4e47dcbcc0e07b2c3d5d7e102","observation_id":"d9f2f178-af65-48a9-a7d1-3a5d3e471ef2","resolution":{"observed_at":"2026-08-12T13:50:21.453913Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.430697Z","title":"Edelen and M","venue":null,"work_id":"364de4ba-f1f1-471c-8a31-a26bc383c667","year":2019},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.351589Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:d7f2b5183d3284bb3060e827c470ac295ad2c883ee9d5e245425b318c9e28701","observation_id":"7fe068ca-6814-4f85-932f-35ee737b3028","resolution":{"observed_at":"2026-08-12T13:50:21.437037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.412737Z","title":"Esposito, N","venue":null,"work_id":"69187963-4bf0-4686-8e72-9d5688ed43e0","year":2010},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.356813Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:53ec464fd64991cfac5a7503620c068dbcbeb4d9f9333b97b9d19f4c88fe45d7","observation_id":"49a28773-f748-4ee7-b102-52043447719d","resolution":{"observed_at":"2026-08-12T13:50:21.418215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.396767Z","title":null,"venue":null,"work_id":"afff3365-4460-44c1-aac2-423da77d69f9","year":1991},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.361752Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:c1d54c92b9f58d8d34a0bf6e1d50b36217070161a6bcc2031080f582ae3dba3b","observation_id":"0e27f6d1-a278-4dcc-b69a-3299c2079611","resolution":{"observed_at":"2026-08-12T13:50:21.401596Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.380968Z","title":"Figalli and J","venue":null,"work_id":"459b39c8-e546-439b-a5bb-fe92f64e8c5d","year":2019},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.367127Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:08a8f12abeb5e6f8683adafe2b66116213d284c367909b2463bfbcc6423f20fa","observation_id":"bb644a2d-ace2-4345-9f31-96d4d7a2c3f1","resolution":{"observed_at":"2026-08-12T13:50:21.385923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.364363Z","title":"Figalli, X","venue":null,"work_id":"5a5b35a3-03e2-44f0-a9eb-7e819fd7ba9e","year":2020},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.372142Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:983f58db655eb68769047ff375689a5444d1bd76dfb655e95e4a26e59f3a4344","observation_id":"1ee5bb68-17ee-4e63-89da-ce29010ff27c","resolution":{"observed_at":"2026-08-12T13:50:21.370116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.346333Z","title":null,"venue":null,"work_id":"5b9ad3fc-ba73-4d69-a85e-164f05f1fd4b","year":null},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.377021Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:6c1b0aa387a7470ba8701d52d3dc5c42719de608d14c6dc95a0b58850cb8d034","observation_id":"fc2a20b8-7c99-4567-939b-c17ba7baff7d","resolution":{"observed_at":"2026-08-12T13:50:21.352070Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.327407Z","title":"Giaquinta and L","venue":null,"work_id":"f62b38f4-cde3-4ca4-8a85-39158ec2639c","year":2005},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.382888Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:f6ed6bf4c300475907073260726a744b860d1fe1f4c3961caec3f22459e44280","observation_id":"e9275f75-feb0-4294-b3a4-618334599141","resolution":{"observed_at":"2026-08-12T13:50:21.334002Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.308972Z","title":null,"venue":null,"work_id":"a03c177c-eadb-479b-833e-80b33f2318b4","year":2006},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.387482Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:2d9c83bf2205adad23c1857fe52050f29e87c3f60e209f12f825ef233d2f6b2b","observation_id":"dab1b367-a8f3-4622-a960-63ee7f6cee2f","resolution":{"observed_at":"2026-08-12T13:50:21.315291Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.290319Z","title":"Guo and J","venue":null,"work_id":"766727ca-5931-4cc4-9ba3-ab25c75ca49b","year":2006},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.392277Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:8e2a8db1b825e585c668cf9b38782281a02f84e98c75d0910fc1b5bf246e3ae0","observation_id":"03a415fb-bf28-4110-8ef2-4ef4b30c6e8f","resolution":{"observed_at":"2026-08-12T13:50:21.296256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.274325Z","title":"Guo and J","venue":null,"work_id":"4147acd1-3320-4f00-a6b6-4febb113c098","year":2007},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.397972Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:0709fdcf8d9f738b84a8a5529e5478b27f913d200d77bea24954289a62190f11","observation_id":"ce52cb22-334b-4434-9efd-bb51a6147094","resolution":{"observed_at":"2026-08-12T13:50:21.279537Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.258545Z","title":"Guo and J","venue":null,"work_id":"7d93af57-ed38-49c1-a16b-82caa7f9c718","year":2008},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.403247Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:956fe9d63db4d5ff318621ee107afc13af1d6a0499d6c362cbe2af6d6b900d41","observation_id":"54b3a4a4-5306-4596-b2ae-a06efeb35a72","resolution":{"observed_at":"2026-08-12T13:50:21.263696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.242159Z","title":"Han and F","venue":null,"work_id":"83e6ae42-3ab3-4c6a-a4dd-00692d43b99a","year":2011},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.408099Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:f8966bc48489d3eeaef4013e9dd690744f5009baa043ea1ed84c26e015c6de1f","observation_id":"b4742056-e8f1-4efd-be1f-2dd5b0bb447f","resolution":{"observed_at":"2026-08-12T13:50:21.247172Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.226680Z","title":"Hirsch, S","venue":null,"work_id":"f5d2c963-3061-42ab-82ae-c6817d83d556","year":2019},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.413133Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:c54124b79c8d79e0dc231646c422231e9db9d9618147af965c49bff1f4ce804c","observation_id":"5ae0bc55-7b94-477a-bfff-c50536d972f5","resolution":{"observed_at":"2026-08-12T13:50:21.231503Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.211199Z","title":"Jiang and F","venue":null,"work_id":"e1949a7c-24d9-4746-893e-8dc2eca11f49","year":2004},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.417884Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:c5d4f3f4316731244d45ee09bcb839b06e165b916e2afa33859ea21831763ea9","observation_id":"9f81917e-767e-45e7-95d8-efaa93b4a616","resolution":{"observed_at":"2026-08-12T13:50:21.216076Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.195484Z","title":"Laugesen and M","venue":null,"work_id":"3c58cdc8-19b0-42d5-b4d3-d1483bfbbc18","year":2000},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.422637Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:066e1755804d2294e3bda7190a871a82dd720a6a1acd8b64a6b38c5a51b069a3","observation_id":"6ea6102d-ba84-4f90-a8f9-620e6b997e3e","resolution":{"observed_at":"2026-08-12T13:50:21.200221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.180109Z","title":"Laugesen and M.C","venue":null,"work_id":"dec49feb-f2b6-4b97-ac0c-386b7df388b9","year":2000},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.427794Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:214949bd218ea1f3264e37818f8b8542cb1aa4ad56848f0582f794fb027cf749","observation_id":"c4978797-b748-44ef-adf5-6d0087cf52ae","resolution":{"observed_at":"2026-08-12T13:50:21.185153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.164023Z","title":"Lauren¸ cot and C","venue":null,"work_id":"6ce672af-036d-4193-9b2d-e5983c0096ac","year":2017},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.433310Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:227102e4239684e44e6cdd8adc60cc0fd1f709e3d5f464b78040af91f9341ce0","observation_id":"07ce9c4e-599e-4921-95db-74e2c2cb41ec","resolution":{"observed_at":"2026-08-12T13:50:21.168710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.148635Z","title":null,"venue":null,"work_id":"69f3ab72-e44c-41a0-a702-0eccfac4f576","year":2005},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.438360Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:93dfa52904034d9fd7d41ad67473de8e87df48e6ee1040494624cb00ae9c46e0","observation_id":"63a05954-a4e6-4f0e-b345-257dac9c2740","resolution":{"observed_at":"2026-08-12T13:50:21.153576Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.131109Z","title":"Lin, Gradient estimates and blow-up analysis for sta tionary harmonic maps, Annals of Mathematics","venue":null,"work_id":"3ddd8f8c-e7d6-4b29-988f-af49e5399541","year":1999},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.443598Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:8db8157dde575f4a463af102184164d70bbc90667dedcdab3c98e0ab0db37e7c","observation_id":"2297451b-b31d-481f-a70b-89ccd6318a26","resolution":{"observed_at":"2026-08-12T13:50:21.136215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.114091Z","title":"Lin and C","venue":null,"work_id":"b67ff4ce-2b66-4354-b722-b846bb2b8f1e","year":1999},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.448902Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:ee2c8c0b49150083652c779eb46c47f7da5319239e38df8bd4c6fed2e7bf6495","observation_id":"ae3c6edb-f3a0-499e-ac10-45c81e0f7112","resolution":{"observed_at":"2026-08-12T13:50:21.118923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.098797Z","title":"Lin and C","venue":null,"work_id":"7a07549e-2933-4c6e-b505-03fd15f96e17","year":2002},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.453903Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:8cec76f81bc1c42e04d8924fe1ddb281d9f93f166623b80369c74eca6d863cae","observation_id":"b8fdb646-aef5-4816-ba0b-97ca2923378c","resolution":{"observed_at":"2026-08-12T13:50:21.103522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.082612Z","title":"Lin and C","venue":null,"work_id":"bdd3b483-6f6f-45bc-815b-25e97db9204d","year":2008},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.459077Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:ec7a591fbb1b93e26911491dda6461a8c1da998cdc438b97d8f004f0d6f0a702","observation_id":"64b097e6-2c49-4f34-8f5a-3d20dd45297d","resolution":{"observed_at":"2026-08-12T13:50:21.087934Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.065323Z","title":"Ma and J","venue":null,"work_id":"549d50a1-8d26-410c-aea9-6b3232a39659","year":2008},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.464010Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:3144ac10b01816906f499306da11bdf2f8564c660b669c469e1d0fa6dfc2fd51","observation_id":"1d1f95d1-095f-4030-be72-6ccbd5d3e78e","resolution":{"observed_at":"2026-08-12T13:50:21.070387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.049386Z","title":"Meadows, Stable and singular solutions of the equa tion ∆ u = 1 /u, Indiana University Mathematics Journal, 53 (2004), 1681-1703","venue":null,"work_id":"9e06514f-38bc-49aa-a447-289ad979fc80","year":2004},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.468624Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:d912ab458b75ac5db31c5c031eb574c7544bc8ba55dcc8c43f8943835bd803ea","observation_id":"98518960-e602-493d-b758-47e0a9ece898","resolution":{"observed_at":"2026-08-12T13:50:21.054454Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.028654Z","title":"Mi´ skiewicz, Discrete Reifenberg-type theorem, Annales AcademiæScientiarum Fennicæ","venue":null,"work_id":"12692311-1877-453a-b03e-27d6906a9459","year":2018},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.473361Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:a1e15f98e7e87c599659ce2503a6f4aec398c9010241f1ced943f12446a18a8d","observation_id":"cf9b9bdd-4344-40a5-8d6b-e1783bc14999","resolution":{"observed_at":"2026-08-12T13:50:21.036073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:21.011778Z","title":"Moser, Regularity for the approximated harmonic map equation and application to the heat ﬂow for harmonic maps, Mathematische Zeitschrift , 243, (2003) 263-289","venue":null,"work_id":"609e08c0-68fb-410e-b3b5-4c62c224a25a","year":2003},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.478432Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:e0f5538aa84b93e88bd09780347eb82b933dd565cfd2435d796159b8d9cf4a09","observation_id":"e4b12f7a-aece-4a69-b451-571e75168c94","resolution":{"observed_at":"2026-08-12T13:50:21.017237Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.994826Z","title":"Moser, Partial regularity for harmonic maps and rela ted problems, World Scientiﬁc, 2005","venue":null,"work_id":"49ffd5a6-5b6e-4871-ad59-63ea01fb20e9","year":2005},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.483480Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:3a1e73412764724524c7b2562a37db4cd2fb320ec1d828d9122377d8a1cf632f","observation_id":"0b2bfc5b-369b-4450-a2b3-741ac176d059","resolution":{"observed_at":"2026-08-12T13:50:21.000459Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.978599Z","title":"Naber, Lecture notes on rectiﬁable Reifenberg for me asures, Harmonic analysis and applications, IAS/Park City Math","venue":null,"work_id":"5ac363ee-7cb9-463f-bfa5-bc983b2d6ff2","year":2020},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.488182Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:1b8102c2b5143cb95447a05a084ef17b94119cffff00aa8ffb4205f4bcb3f061","observation_id":"cddf7357-4327-4a8c-a5e3-25366848d1e2","resolution":{"observed_at":"2026-08-12T13:50:20.983783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.962458Z","title":"Naber and D","venue":null,"work_id":"a96cb71e-9bbd-426e-9b22-d7c0500511c9","year":2017},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.493286Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:413aadb41502ba51c367bd8923cd499182b62ada613ba44be61309c5ab3b8193","observation_id":"e2f5c0b4-c430-453d-81b9-46c3df1b58b1","resolution":{"observed_at":"2026-08-12T13:50:20.967576Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.945899Z","title":"Naber and D","venue":null,"work_id":"139c9f1a-1f24-41df-b694-d4db98c20cd2","year":2018},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.498247Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:32d3499bc66e8e0dfdc7248b57392c5ee17d80423bb58aa693e6218255a50b07","observation_id":"e75bba39-0b70-4624-a988-bb0679528edb","resolution":{"observed_at":"2026-08-12T13:50:20.951282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.02242","last_updated":"2026-06-18T11:45:33Z","snapshot_observed_at":"2026-08-13T09:31:42.934133Z","submitted_at":"2024-01-04T12:53:37Z","title":"Energy Identity for Stationary Harmonic Maps","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.02242","snapshot_observed_at":"2026-08-12T13:50:20.503134Z","title":"Naber and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.503134Z"},"links":{"cited_paper":"/paper/2401.02242","citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:6716d6674995f230d44915dcf3e7a0bb3ad878c285e0259c22e5c8fcd2d0fbe2","observation_id":"a652383e-9cbd-4008-bf1b-d67dc5b68606","resolution":{"observed_at":"2026-08-12T13:50:20.503134Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.930728Z","title":null,"venue":null,"work_id":"7a40f5a7-055a-450b-b4f0-62f6e95044d7","year":2005},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.508418Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:05e62a9d31deeb1ea9b3d78d53be56e3b072a1bcd46069434ba1a959a70ffa1b","observation_id":"9d0e3f6e-a786-4e09-ad12-5357a36a9d44","resolution":{"observed_at":"2026-08-12T13:50:20.935455Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.915242Z","title":"Pacard, Partial regularity for weak solutions of a no nlinear elliptic equation, Manuscripta Mathematica , 79 (1993), 161-172","venue":null,"work_id":"732fec53-208c-4d89-83db-572c09d68608","year":1993},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.513224Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:dff143e06989ec9ef179ed923a6706ce7c62dc3382407670e96ba4c8593c1f01","observation_id":"f462377a-81be-4509-b43e-08e9996755f8","resolution":{"observed_at":"2026-08-12T13:50:20.920185Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.899359Z","title":"Pelesko and D","venue":null,"work_id":"a602200a-b910-469e-b1d0-afdd1e3aa9c5","year":2002},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.518401Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:1c2aa4cb55bc8b7a01453bb494ce86a812be2e28cffccfd6f120957b51f4be1c","observation_id":"993f66a8-e000-4e49-9225-7dae384b0ca4","resolution":{"observed_at":"2026-08-12T13:50:20.904258Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.882488Z","title":"Phillips, A minimization problem and the regularity of solutions in the presence of a free boundary, Indiana University Mathematics Journal , 32 (1983), 1-17","venue":null,"work_id":"134db368-179a-4334-ae72-fc322b786f29","year":1983},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.523140Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:3c69743eee8db1fd796cff28cc6766a772952febdc025a07efc5aa16d6ae5788","observation_id":"eb349398-8a6e-46cd-8bb0-646f7582874b","resolution":{"observed_at":"2026-08-12T13:50:20.888071Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.865712Z","title":"Preiss, Geometry of measures in Rn: distribution, rectiﬁability, and densities, Annals of Mathematics","venue":null,"work_id":"1cc25594-a317-4ce1-b12b-542766932465","year":1987},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.527985Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:42955f1c9ae3905e709d7669ba73c2c588ec0bd87623aeb91102d1647ac202c4","observation_id":"017a66f3-7eb5-4c27-ad61-8bb2b06cd2ce","resolution":{"observed_at":"2026-08-12T13:50:20.871010Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.849462Z","title":null,"venue":null,"work_id":"7ee05a1a-9b85-4794-aacb-53de701548c6","year":1960},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.532780Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:e72eda19507c2d752206e16e398bf18bc64a30b71aab56f97cae82c055cbd391","observation_id":"552fd37a-db9c-4038-92ff-45afc96d1fb8","resolution":{"observed_at":"2026-08-12T13:50:20.854476Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.833475Z","title":"Simon, Rectiﬁability of the singular set of energy mi nimizing maps, Calculus of Variations and Partial Diﬀerential Equations , 3 (1995), 1-65","venue":null,"work_id":"48bb163a-af45-4574-9f01-ad0df04d2349","year":1995},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.537697Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:e01cede68f25b334b0c51caa2dc1bb72d8d131330247fb3a57a8cde9d10299da","observation_id":"b03652b0-583f-4e43-bb3c-d6c3b2ddf823","resolution":{"observed_at":"2026-08-12T13:50:20.838548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.816955Z","title":"Sinaei, Convex functionals and the stratiﬁcation of the singular set of their stationary points, Advances in Mathematics, 338 (2018), 502-548","venue":null,"work_id":"6f20d0c3-bc41-4f1d-b6be-16cca9a210e2","year":2018},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.542592Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:82f26c6b0447b158a8891379e5573825e01843336ff7cf5f5a6ccff05eda932b","observation_id":"4d8c84ab-ed28-4d9d-a594-e4a21e5c2049","resolution":{"observed_at":"2026-08-12T13:50:20.822720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.800758Z","title":"Simon, Theorems on regularity and sigularity of ener gy minimizing maps, Birkh¨ auser Verlag, 1996","venue":null,"work_id":"4caa4ebf-da22-4a63-9b00-56db34afd78b","year":1996},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.547501Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:15e7b23812ff46c41b6e700f4db005c38a931ccab40753d7594940e8d804bf3a","observation_id":"08ff8fff-e7c7-41af-97cd-859e19c37a9d","resolution":{"observed_at":"2026-08-12T13:50:20.806052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.784976Z","title":"Soave and S","venue":null,"work_id":"22021902-7b6c-41a9-9b39-e15e399aaeb4","year":2019},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.552514Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:335c8bec9cb9f7bf8e3e5c8473d6743fdafad17f0b9b0ce0f38f00b066b6a782","observation_id":"92893247-ea0f-492a-9702-10b9368a565f","resolution":{"observed_at":"2026-08-12T13:50:20.789896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.769077Z","title":"Tavares and S","venue":null,"work_id":"de8d9b8b-48dd-4a8c-b063-e7785404ecc7","year":2012},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.557454Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:8dd43fb72a04a818e7358e0a0b7e8410e65c22d973bd24f4c8c7e98bafee7a10","observation_id":"0235d5a5-d346-41db-9453-3fe198679ba6","resolution":{"observed_at":"2026-08-12T13:50:20.774054Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.753412Z","title":"Schoen and K","venue":null,"work_id":"7b5167d2-a4a5-4268-88d5-c0cd14029ddf","year":1982},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.562355Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:785b56423f21b4bd50458d6ade3fc88b9f6ac7496bb9afbff63cf77bea02b688","observation_id":"03605521-5cdd-4600-9975-7145effe3339","resolution":{"observed_at":"2026-08-12T13:50:20.758319Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.734953Z","title":"Vedovato, Quantitative regularity for p-minimizin g maps through a Reifenberg theorem, The Journal of Geometric Analysis, 31 (2021), 8271-8317","venue":null,"work_id":"f4650aef-b864-4908-8c38-6f7285f00957","year":2021},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.567602Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:d536749b88f2a2e691c7c541119c6e5fb5d4e06cc81c90f0c6e0df2ef55fd66c","observation_id":"c2d1a4cc-2213-491e-b32c-59fdb8920b59","resolution":{"observed_at":"2026-08-12T13:50:20.741565Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.715431Z","title":"Wang, Partial regularity of stable solutions to the s upercritical equations and its applications, Nonlinear Analysis: Theory, Methods & Applications, 75 (2012), 5238-5260","venue":null,"work_id":"cfcfaf4c-2edf-45f7-8f85-3548f94bdb3c","year":2012},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.573062Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:c18d5cff8dd8e66a3a73a9619af32151acf42d29ac0d349b0469a10f8eaee6dd","observation_id":"488fe880-67c7-4f38-a1fb-9642ae84cc3e","resolution":{"observed_at":"2026-08-12T13:50:20.721487Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.698439Z","title":"Wang and G","venue":null,"work_id":"e3551e94-5ac5-46bc-9ef0-a548b7a5af8f","year":2024},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.577834Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:1aa3710f5b688c89c53422a5052d03b21e31d17fb0f0221206a4e090573004df","observation_id":"470fc82f-738f-4165-8ae9-d27dd6818e65","resolution":{"observed_at":"2026-08-12T13:50:20.703422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.681832Z","title":"Wang, Quantitative stratiﬁcation of stationary con nections, Journal f¨ ur die reine und angewandte Mathe- matik, 775 (2021), 39-69","venue":null,"work_id":"f8f95b15-3373-4dca-9207-7829c311fb58","year":2021},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.582993Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:2dc558e3a793580d000310c5c9528222b99b3e81ac59f7322fb9339bb0c1e6b3","observation_id":"7dbc3baf-c016-4be2-a3c6-fe2ac49b5e89","resolution":{"observed_at":"2026-08-12T13:50:20.687328Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.665270Z","title":null,"venue":null,"work_id":"00a6ad41-185e-41aa-9bcd-cf664916a7aa","year":1999},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.588917Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:18b7e6244bfd48ca523a0a5342a607ae198430095fabad35618e012b5c8f4912","observation_id":"7bcb1ec0-9339-4aec-9970-e322fe1d8b5a","resolution":{"observed_at":"2026-08-12T13:50:20.670950Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T13:50:20.646206Z","title":"White, Stratiﬁcation of minimal surfaces, mean curv ature ﬂows, and harmonic maps, Journal f¨ ur die Reine und Angewandte Mathematik , 488 (1997), 1-35","venue":null,"work_id":"1a54246d-8359-4e16-83b7-db1b6f46d629","year":1997},"citing_paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-12T13:50:20.593917Z"},"links":{"citing_paper":"/paper/2411.16048"},"observation_digest":"sha256:5d3d2da46d431b73f4097834e5b5a3dc35d46313bc445fa9810f7d20cad5e3e1","observation_id":"a5938256-696f-41aa-a9e3-fed6e6609e37","resolution":{"observed_at":"2026-08-12T13:50:20.652697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.16048","last_updated":"2024-12-12T05:09:38Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-12T13:34:29.391937Z","submitted_at":"2024-11-25T02:28:58Z","title":"Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity"},"reference_resolution":{"displayed":67,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":59},"total_outbound_references":67},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2411.16048."}