{"as_of":"2026-08-16T08:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e46169fbf58d6b48e7ade9ac04ed4dbf04ec02653ca9ce4dd114d7c3479b06e8","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:31:19.482810Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.07378/citation-record","integrity":"/paper/1908.07378/integrity","json":"/paper/1908.07378/citation-record.json","paper":"/paper/1908.07378"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:31:19.920219Z","title":"Alexandrov, Uniqueness theorems for surfaces in the large, I, Vestnik Leningrad Univ","venue":null,"work_id":"934f5467-0bd7-46b0-a239-07ef440a7f8f","year":1956},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.331750Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:c5a6fdec3fb921cf69261a6c4ec5234ea70f2966ead0361911a7d6869c25d67a","observation_id":"090697b1-f533-4966-a4d1-067fdd519d57","resolution":{"observed_at":"2026-08-14T12:31:19.926630Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.902064Z","title":"Bayle, A","venue":null,"work_id":"5de65b43-0f7e-4285-b31a-4491a1d4eb6b","year":2008},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.340272Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:af51b7ab1bed289854c90ba1c81295ebd36a104b3d3d850c5f4a1d33c3584335","observation_id":"7172aa21-0323-4b77-a70b-7b6fd8ff79e9","resolution":{"observed_at":"2026-08-14T12:31:19.907532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.878864Z","title":"Bueno, The Björling problem for prescribed mean curvature surfaces in 3 , Ann","venue":null,"work_id":"17279c4d-daf5-4f87-ba2c-72a95d51c5a1","year":2019},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.360332Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:c28798b93b1cf6ee78a42fbcee3b03e565f9a9055d565234adf6ecb86f435b29","observation_id":"722d3ef5-2028-4b7c-9bcc-a08d2903dc23","resolution":{"observed_at":"2026-08-14T12:31:19.884914Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10231-019-00886-1","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:31:19.528894Z","title":"Bueno, Half-space theorems for properly immersed surfaces in 3 with prescribed mean curvature, Ann","venue":null,"work_id":"be5cd535-5885-4621-96bb-489f03da5582","year":null},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.367371Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:39d0e78d981290805027e656e891d98bf31c5a4110f70801956b81152a17bd1d","observation_id":"b10d7efb-53f6-4515-a72e-e6808680626d","resolution":{"observed_at":"2026-08-14T12:31:19.537622Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1802.08146","last_updated":"2019-02-25T15:32:21Z","snapshot_observed_at":"2026-08-14T19:43:14.165640Z","submitted_at":"2018-02-22T16:37:38Z","title":"The global geometry of surfaces with prescribed mean curvature in $\\mathbb{R}^3$","version":2},"cited_work":{"arxiv_id":"1802.08146","doi":null,"metadata_source":"pith","pith_arxiv_id":"1802.08146","snapshot_observed_at":"2026-08-14T12:31:19.618448Z","title":"The global geometry of surfaces with prescribed mean curvature in $\\mathbb{R}^3$","venue":"math.DG","work_id":"124196e8-ff6b-4224-8c4d-7f3fb4c90f7b","year":2018},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.378163Z"},"links":{"cited_paper":"/paper/1802.08146","citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:3f4f6719ed3a5d0ec1249029c3a357b41ba2aedb18975fce73fc929889e77fa2","observation_id":"a34a870a-a0b3-448a-80fb-0ecfcb3384aa","resolution":{"observed_at":"2026-08-14T12:31:19.626044Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1902.09405","last_updated":"2019-02-25T16:06:09Z","snapshot_observed_at":"2026-08-14T17:11:38.515557Z","submitted_at":"2019-02-25T16:06:09Z","title":"Rotational hypersurfaces of prescribed mean curvature","version":1},"cited_work":{"arxiv_id":"1902.09405","doi":null,"metadata_source":"pith","pith_arxiv_id":"1902.09405","snapshot_observed_at":"2026-08-14T12:31:19.586061Z","title":"Rotational hypersurfaces of prescribed mean curvature","venue":"math.DG","work_id":"0a1084b9-bd0d-479a-bff6-17fb5607eecb","year":2019},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.385913Z"},"links":{"cited_paper":"/paper/1902.09405","citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:5d73c22052fb56a8bbb313116686cf8d6fcf33036633743b5673e9d69698b925","observation_id":"1e60a428-ff68-4ef2-9a2a-ad94a7865a64","resolution":{"observed_at":"2026-08-14T12:31:19.593838Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.859930Z","title":"Christoffel, Über die Bestimmung der Gestalt einer krummen Oberfläche durch lokale Messungen auf derselben","venue":null,"work_id":"14f8fef9-810b-45da-ab2c-5f551f783a61","year":null},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.393227Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:534e41e36fb1e3de7db8509cd24cac5c90f14b7a78aeba6e2f3f9c96643a1bcd","observation_id":"c7dc87fa-3b80-412e-9528-69f2832bd2fb","resolution":{"observed_at":"2026-08-14T12:31:19.865996Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.841050Z","title":"Clutterbuck, O","venue":null,"work_id":"77768b53-7994-4206-b18f-ac279b0412ed","year":2007},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.407045Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:543413a4f305bf8b2ab8350efd0fd658a4cdefa6e3fd9647472a3525047321b3","observation_id":"e9334fee-2d75-4845-aafb-bfb49979d27f","resolution":{"observed_at":"2026-08-14T12:31:19.846992Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.819972Z","title":"Gromov, Isoperimetry of waists and concentration of maps, Geom","venue":null,"work_id":"cb0261ad-2caa-4942-9970-25e92012c392","year":2003},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.414149Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:8e699e13615f1a69befad4c7b3826c697a052a084d68d50e59e27167ddd32bea","observation_id":"51e703b8-3f1c-4d75-830f-7289b1c2bc00","resolution":{"observed_at":"2026-08-14T12:31:19.825182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.800643Z","title":null,"venue":null,"work_id":"7645105b-67af-49be-92cb-a8d09cb3a56b","year":2002},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.422009Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:e776be976c5dae904fafe6f39018b36ea0094e84ac2af7626dc38d21318e3c64","observation_id":"fa2be0c5-1e3a-4b75-a036-813e7a4de760","resolution":{"observed_at":"2026-08-14T12:31:19.806210Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.781351Z","title":"Huisken, The volume preserving mean curvature flow, J","venue":null,"work_id":"042ba80c-2b7f-455d-9fd4-ba73d493bb61","year":1987},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.428296Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:866bbc43ce00c211d79dd354219f1d9f8cad79002b2792f41742bffc757db755","observation_id":"22c3b3b0-7195-4b58-94b1-3b242469beb0","resolution":{"observed_at":"2026-08-14T12:31:19.787755Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.763813Z","title":"Huisken, C","venue":null,"work_id":"ec4a9c2b-3213-4720-a649-40a301d3f1c2","year":1993},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.436031Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:d7fdb0907eb0f1238672cd48f6c75b90ba0be826c514a581ebddc17e9c3eb328","observation_id":"3676039a-d58d-4317-8116-97661f6bcb5e","resolution":{"observed_at":"2026-08-14T12:31:19.769526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.746288Z","title":"Ilmanen, Elliptic regularization and partial regularity for motion by mean curvature, Mem","venue":null,"work_id":"48fed329-30bb-4bbf-bf18-c8d7d9c3f98c","year":1994},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.442771Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:32f6a5d0b7fdba750e822c5a7bba37922029b0d8bb89dc57a1c35cecfd7f5847","observation_id":"c6fdc646-cc3e-4604-bc21-38ee5c844bb8","resolution":{"observed_at":"2026-08-14T12:31:19.751751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.729000Z","title":"López, Invariant surfaces in Euclidean space with a log-linear density, Adv","venue":null,"work_id":"0d157fb7-0458-4e72-9020-79a69a7c6d4c","year":2018},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.449765Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:6eab153717ea80d0c26b70e916b2e0cd157e4b7d25beafba3f47f3e010cac49e","observation_id":"5ee35770-ee41-4e7c-b448-2c56c706fe6c","resolution":{"observed_at":"2026-08-14T12:31:19.734571Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.707766Z","title":"Marquardt, Remark on the anisotropic prescribed mean curvature equation on arbitrary domains, Math","venue":null,"work_id":"fcefe8f1-c5f8-48e2-81ac-9a316e2fecd9","year":2010},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.456733Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:9530cda58b4a573551d5e4ddee61e5ce603ce220f4cd02bd6afb55eeb47eb4aa","observation_id":"716d968c-35a1-4297-9f81-2a2fabaecc48","resolution":{"observed_at":"2026-08-14T12:31:19.715799Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.687897Z","title":"Martín, A","venue":null,"work_id":"b32de3c5-9042-4543-9100-3015318fdca2","year":2015},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.463433Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:f23f98bd37a759b057cebd5c175308e53a19c572ddfd30e2934d07361392413a","observation_id":"7d5bedaf-8699-4224-b91c-b4f45ab3ff3b","resolution":{"observed_at":"2026-08-14T12:31:19.693821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.665320Z","title":"Minkowski, Volumen und Oberfläche, Math","venue":null,"work_id":"aefe5475-9522-4ce1-b9e2-e053b9b86fcb","year":1903},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.471321Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:304428867153e453277561551a1173ef2e14a1b141ee5db8b8454a21df26cdec","observation_id":"5ae32457-c982-4d2e-ba8d-3061569ccb16","resolution":{"observed_at":"2026-08-14T12:31:19.673115Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:31:19.642940Z","title":"Pogorelov, Extension of a general uniqueness theorem of A.D","venue":null,"work_id":"e839cba2-03e6-4f06-b440-d3ae1f57de23","year":1948},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.477343Z"},"links":{"citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:e3ce7f1088d32ab715e444a5be74221b6d7c715c11d90366d773894701aeecfc","observation_id":"83912ff6-25f5-4b77-9d50-4759f76a7c01","resolution":{"observed_at":"2026-08-14T12:31:19.649426Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1703.01003","last_updated":"2018-05-29T22:17:45Z","snapshot_observed_at":"2026-08-14T21:13:47.577439Z","submitted_at":"2017-03-03T00:34:02Z","title":"Complete translating solitons to the mean curvature flow in $\\mathbb{R}^3$ with nonnegative mean curvature","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.01003","snapshot_observed_at":"2026-08-14T12:31:19.482810Z","title":"Spruck, L","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-14T12:31:19.482810Z"},"links":{"cited_paper":"/paper/1703.01003","citing_paper":"/paper/1908.07378"},"observation_digest":"sha256:794511ac34719d04e5ad681962b2e9f010d313c4bd2c84482df5e85e1c5a2ae0","observation_id":"ba2ac89b-98a8-45aa-966b-858daa3055c7","resolution":{"observed_at":"2026-08-14T12:31:19.482810Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"1908.07378","last_updated":"2019-08-20T14:15:44Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-16T04:40:04.138301Z","submitted_at":"2019-08-20T14:15:44Z","title":"Invariant hypersurfaces with linear prescribed mean curvature"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":3,"verified_fuzzy":14},"total_outbound_references":19},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.07378."}