{"as_of":"2026-08-17T02:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7b4a974eadccca2d2fdea5dc15194950a1acaaad956eeb5de2c3bbbf074fc2bf","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:14:14.860023Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"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/1908.09795/citation-record","integrity":"/paper/1908.09795/integrity","json":"/paper/1908.09795/citation-record.json","paper":"/paper/1908.09795"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:14:15.515497Z","title":"Alexandrov","venue":null,"work_id":"74b68e22-bfc7-47ed-9a18-cb5edd9bfc7b","year":1958},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.682264Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:ce8b8944157fe9011960287d13c86f7a0007140d19b803007879b3591ab7abd6","observation_id":"261f1c2b-2b27-4076-b625-5623b4fe4f3f","resolution":{"observed_at":"2026-08-14T11:14:15.520838Z","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":"2026-08-14T11:14:15.499760Z","title":null,"venue":null,"work_id":"7f1f75af-486a-436f-9669-051d958c31e8","year":1986},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.687710Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:d74ef0d8fd609d6d882aceb5f8f71e2b5a7c7c52ebc8b4305041527378f6ec23","observation_id":"f6ed9e51-4361-42e5-82ee-da48425e1f65","resolution":{"observed_at":"2026-08-14T11:14:15.504734Z","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":"2026-08-14T11:14:15.482517Z","title":null,"venue":null,"work_id":"80441dfc-2800-484a-bf7e-8aca001144b2","year":1972},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.693193Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:b20dafe803eb72c4d8cee2c28ee0abaca05e5a4fdb7669dd501f476ddc2f44f2","observation_id":"d722c5f6-e21d-4b27-b3fb-118539a7849b","resolution":{"observed_at":"2026-08-14T11:14:15.488414Z","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":"2026-08-14T11:14:15.466584Z","title":null,"venue":null,"work_id":"0fc5b777-ed09-43ac-89a5-14c7e51795be","year":2000},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.698176Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:7014d52ab4cc0216c4ba9393e38102fb76c6c882b8d8718379d827f38e850992","observation_id":"534dd5be-d10d-4d1b-b5b3-a584beb68168","resolution":{"observed_at":"2026-08-14T11:14:15.470889Z","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":"2026-08-14T11:14:15.450645Z","title":"Functions of bounded variation and free discon- tinuity problems","venue":null,"work_id":"cbb1ca53-dece-4dc4-a1bf-de6e5ae6244b","year":2000},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.703036Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:453b555f1188c073d6bd3f760ffc15770cee82f4fdc4a57cc852c462e9420e1a","observation_id":"73d6dcc7-17e9-461a-aa79-f8548cde5423","resolution":{"observed_at":"2026-08-14T11:14:15.455905Z","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":"2026-08-14T11:14:15.433522Z","title":"Brothers and Frank Morgan","venue":null,"work_id":"45ba7643-712a-4bf2-b1c8-0644d4db9a59","year":1994},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.707862Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:62d16f7f1e3d8534be59fd1311f067f923f97ac1e4710fb293dd9b0a08a422d5","observation_id":"6e388306-8362-4ca1-9acc-0910244b1884","resolution":{"observed_at":"2026-08-14T11:14:15.439022Z","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":"2026-08-14T11:14:15.417578Z","title":"Bubbling with L2-almost constant mean curvature and an Alexandrov-type theor em for crystals Arch","venue":null,"work_id":"3d72f9c1-246b-434c-b2e7-112eb8b3ef21","year":2018},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.713351Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:5cc2e2bb4ee0ff1a31a51a521078d83baf7ba84457340494448b8b43543d15f0","observation_id":"18949fd7-d70e-4b94-bb18-b6687ba24e88","resolution":{"observed_at":"2026-08-14T11:14:15.422724Z","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":"1711.07690","last_updated":"2017-12-01T22:25:41Z","snapshot_observed_at":"2026-08-14T20:11:36.018440Z","submitted_at":"2017-11-21T09:46:08Z","title":"Alexandrov's theorem revisited","version":2},"cited_work":{"arxiv_id":"1711.07690","doi":null,"metadata_source":"pith","pith_arxiv_id":"1711.07690","snapshot_observed_at":"2026-08-14T11:14:15.008367Z","title":"Alexandrov's theorem revisited","venue":"math.AP","work_id":"f14345a9-7a63-42f1-ac68-681313ff1639","year":2017},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.717884Z"},"links":{"cited_paper":"/paper/1711.07690","citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:46ae7db0ed1407ef9de22caef0eb181513344c18ed65f8e77780ae7ec7ced76a","observation_id":"32f8e051-22dd-450d-8654-b802f9ffa7a1","resolution":{"observed_at":"2026-08-14T11:14:15.014266Z","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":"2026-08-14T11:14:15.401712Z","title":"Alexandrov’s theo rem revisited","venue":null,"work_id":"f2683899-c068-4cc7-81de-356b92fca873","year":2019},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.722689Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:e03f07af8f4e67e5dde2b2a1f4d94fc532374fac8cfad90415dd179eb48b9013","observation_id":"a1a0acf7-0ba3-4620-bd0b-fafc7ccf2c06","resolution":{"observed_at":"2026-08-14T11:14:15.406732Z","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":"2026-08-14T11:14:15.384273Z","title":"Rectifi ability of varifolds with locally bounded first variation with respect to anisotropic surface e nergies","venue":null,"work_id":"16682e29-848a-4d56-bcd4-800dbaeb3c11","year":2018},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.726599Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:e6bb4750fd6965a7f35b78c84f7af85ac991ec30292f5bda4ce8239725aef32b","observation_id":"c7eacd87-9e15-4132-83fe-4e990a9320f5","resolution":{"observed_at":"2026-08-14T11:14:15.390243Z","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":"1901.03514","last_updated":"2019-01-11T09:00:00Z","snapshot_observed_at":"2026-08-14T17:32:19.644745Z","submitted_at":"2019-01-11T09:00:00Z","title":"The Area Blow Up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals","version":1},"cited_work":{"arxiv_id":"1901.03514","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.03514","snapshot_observed_at":"2026-08-14T11:14:14.986826Z","title":"The Area Blow Up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals","venue":"math.AP","work_id":"3cc68f39-df47-4ad2-a2ee-e3f3a382bd55","year":2019},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.731196Z"},"links":{"cited_paper":"/paper/1901.03514","citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:e36c370355a9369270e4d2a6ebe1a45f27392792a9677a3b18deab5571f153f9","observation_id":"3a68e93a-d067-41e2-a42c-ca794ec62aa8","resolution":{"observed_at":"2026-08-14T11:14:14.991611Z","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":"2026-08-14T11:14:15.366744Z","title":"Regularity of free bounda ries in anisotropic capillarity problems and the validity of Youngs law","venue":null,"work_id":"7a996356-a8c0-4242-8e53-f462ede61b8c","year":2015},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.736274Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:e5aa2e8eedddeffd2cc0f37794330d954dcd3c44bacb146a6d5dd016f06c9393","observation_id":"a91ffdce-879f-4722-89dd-2c3d085cffee","resolution":{"observed_at":"2026-08-14T11:14:15.372666Z","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":"2026-08-14T11:14:15.350794Z","title":"Minimization of anisotropic energies in classes of rectifiable varifolds","venue":null,"work_id":"9058fc8a-c5bf-49b3-be9f-c663b86084f7","year":2018},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.740892Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:3fa04d8fc73b0426cf47069d99591664585001591c58de1f363a21cecdec527e","observation_id":"b4529174-1b8c-48bd-b21d-28ee2208a97c","resolution":{"observed_at":"2026-08-14T11:14:15.355672Z","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":"1803.09118","last_updated":"2021-08-24T08:16:21Z","snapshot_observed_at":"2026-08-14T19:32:52.778294Z","submitted_at":"2018-03-24T14:12:54Z","title":"Absence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces","version":2},"cited_work":{"arxiv_id":"1803.09118","doi":null,"metadata_source":"pith","pith_arxiv_id":"1803.09118","snapshot_observed_at":"2026-08-14T11:14:14.966719Z","title":"Absence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces","venue":"math.AP","work_id":"71a59891-b7a2-42b9-9b29-dfd6378a2365","year":2018},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.745282Z"},"links":{"cited_paper":"/paper/1803.09118","citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:f6834797c1b1800592976f5425bf3dd65bdcae33ec19f9305ba1e50ad3121520","observation_id":"806a63d3-78aa-4c97-bdb7-2d604ab09de3","resolution":{"observed_at":"2026-08-14T11:14:14.971557Z","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":"2026-08-14T11:14:15.334921Z","title":"Quantitative Stability for Anisotropic Nearly Umbilical Hypersurfaces","venue":null,"work_id":"0d8e20ca-53b4-4b92-bea4-6c1f5a8306b0","year":2019},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.750466Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:478dd6f7929aa638079beea4d68ddcef628f25b663eb849ee1ff448a5685ca05","observation_id":"c76c0e25-ef27-439b-8123-f92991ef8e68","resolution":{"observed_at":"2026-08-14T11:14:15.340268Z","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":"2026-08-14T11:14:15.318377Z","title":"Curvature measures","venue":null,"work_id":"74adf337-4d0a-4ae9-bc8f-f293cec9c328","year":1959},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.755171Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:d235ec81a22267898484f5064e215745278c39bb76cd83cf5b55b46b682c99da","observation_id":"9efc86e9-db09-4c26-b01a-8fcedc1ca9b3","resolution":{"observed_at":"2026-08-14T11:14:15.323466Z","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":"2026-08-14T11:14:15.301743Z","title":"Geometric measure theory","venue":null,"work_id":"0bbb8c24-8907-4a03-8a06-baab38b6b365","year":1969},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.760522Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:aee098374f817ae2d626be445f224ba6445a7a72497e0cdd003b6b2b188c22e4","observation_id":"db59aeb9-5b36-428b-b452-dc90477251b8","resolution":{"observed_at":"2026-08-14T11:14:15.306763Z","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":"2026-08-14T11:14:15.287085Z","title":"A uniqueness proof for the Wulff theorem","venue":null,"work_id":"02ea836b-f65d-4b20-9a2b-47af70385cf7","year":1991},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.765242Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:39f83f3d309dd2d81f8e1ea26cb50a6046e8851754062054fac23004294d580a","observation_id":"127034d3-7dd9-41e9-a454-096c58bf104a","resolution":{"observed_at":"2026-08-14T11:14:15.291245Z","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":"2026-08-14T11:14:15.271680Z","title":"Surface Evolution Equations : a level set metho d","venue":null,"work_id":"caee4d90-5771-4da1-af65-18f4addb1cfb","year":2002},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.770311Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:a0dd9daf7eaac5da662e025466bf6bc8a53fc847e524436b8d8bb4afdfb97c3d","observation_id":"c66c9c59-5edf-4d02-9875-a7837331b071","resolution":{"observed_at":"2026-08-14T11:14:15.276632Z","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":"2026-08-14T11:14:15.254649Z","title":"Uniqueness of constant weakly anis otropic mean curvature im- mersion of the sphere S2 in R3","venue":null,"work_id":"4551bfeb-4cfb-4192-9ce6-49f9d092772b","year":2009},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.775826Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:d89cf19c5e61990d68aa648709ccbf19597f8b145eb4ee65e7f98fe0b7465899","observation_id":"74129535-79b7-4607-a73c-82909b391500","resolution":{"observed_at":"2026-08-14T11:14:15.260340Z","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":"2026-08-14T11:14:15.238678Z","title":"Compact embedd ed hypersurfaces with constant higher order anisotropic mean curvatures","venue":null,"work_id":"7e269f23-10c2-4ef3-bd94-c957d55a2110","year":2009},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.780866Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:b94b5841173c77d410f194390a28a40a0f13be752e3fecf6fefb1ad68e5ca58b","observation_id":"a5ffc6bc-63d0-4442-be51-49da6ec19759","resolution":{"observed_at":"2026-08-14T11:14:15.244476Z","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":"2026-08-14T11:14:15.221855Z","title":"Does polynom ial parallel volume imply con- vexity? Math","venue":null,"work_id":"a9d40c72-44c6-437a-a167-d0dbd43adda2","year":2004},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.785572Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:a1b2119616af6bf10db10aaa86f5c0c6af03fd38b5d7392e98a6527515322e1b","observation_id":"55a9d722-3336-45bb-a6f7-7eaf056feda2","resolution":{"observed_at":"2026-08-14T11:14:15.227172Z","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":"2026-08-14T11:14:15.204897Z","title":"A local Steiner-ty pe formula for general closed sets and applications","venue":null,"work_id":"b34f09e4-98e8-4016-abd8-e0db15a1b2e2","year":2004},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.791028Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:45ddeb70ee53e89a85f9b6fe0e7565cdeb0f9868434b7469abee25f1a55d8882","observation_id":"e1074aaf-531e-4d19-bc47-bf29b6a9a4c7","resolution":{"observed_at":"2026-08-14T11:14:15.210374Z","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":"2026-08-14T11:14:15.186887Z","title":"Linear algebra","venue":null,"work_id":"ebbac795-00c0-40d4-999f-2d54b3abb504","year":1987},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.796098Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:b14fc0219e2f085d412f072db003ecf10445a857892feeabdd9c574ca0b269e5","observation_id":"220158ee-a06e-4e10-bc35-b437ed69ac4a","resolution":{"observed_at":"2026-08-14T11:14:15.193426Z","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":"2026-08-14T11:14:15.169070Z","title":"Critical and almost-critical points in isoperime tric problems","venue":null,"work_id":"67b92a35-19df-4b67-9e46-1c9c68a1aca7","year":2018},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.801191Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:fa0820224e86a8b1ee8338323933fca128d930df5e118effae3b3c1f4c327683","observation_id":"690e8d88-97a1-4c20-8f24-90c778c995ef","resolution":{"observed_at":"2026-08-14T11:14:15.174914Z","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":"2026-08-14T11:14:15.151937Z","title":"Pointwise differentiability of higher order for sets","venue":null,"work_id":"23346478-7da5-4c13-be9d-8f07806217aa","year":2019},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.805999Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:7ab342982c86f356b7b6ac23073f2f1be838e3bcbfd952604fa4cc0617a0f6cb","observation_id":"c7d6493f-173d-4dfa-9494-1767630cbade","resolution":{"observed_at":"2026-08-14T11:14:15.158104Z","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":"2026-08-14T11:14:15.135736Z","title":"Milman and Gideon Schechtman","venue":null,"work_id":"b6d76726-8bba-4a4f-b3f1-126c7411f6f4","year":1986},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.811382Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:c4621f52017c9d4710e340fe73838606278de313207b640d023391d95112d572","observation_id":"f0f816a2-ea44-407a-bc0f-908c0e4cf85d","resolution":{"observed_at":"2026-08-14T11:14:15.140590Z","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":"2026-08-14T11:14:15.120089Z","title":"Compact hypersurfaces : the Alexandrov theorem for higher order mean curvatures","venue":null,"work_id":"db334291-27a9-4d9f-9838-c7e292c26a54","year":1991},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.816615Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:d5ab9e9db172f80ab7ecc72b9762327f8cfafcf2448f96e94b419960c4ee27c8","observation_id":"5f44a6a7-2529-4e2c-8891-0f9edc59c7bf","resolution":{"observed_at":"2026-08-14T11:14:15.124994Z","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":"2026-08-14T11:14:15.103109Z","title":"Planar Wulff shape is unique equilibrium","venue":null,"work_id":"28df432d-24b3-476c-bc83-57db3557fac6","year":2005},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.821789Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:ef143385a8fb41b6b99f29a215d0478ffda2ea22e8101cb04828cbb624a74e2e","observation_id":"7562275a-06bd-4f7c-9d00-2e506d461983","resolution":{"observed_at":"2026-08-14T11:14:15.108527Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:14:14.826616Z","title":"Tyrrell Rockafellar","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.826616Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:f08e34c7fe67b1e7bd626d65690f4f603ea98c4940878e4ba516a85439eba409","observation_id":"75f6b503-c428-4b64-b724-8f569f72ff6f","resolution":{"observed_at":"2026-08-14T11:14:14.826616Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1708.01549","last_updated":"2019-08-13T08:08:27Z","snapshot_observed_at":"2026-08-16T17:29:01.050861Z","submitted_at":"2017-08-04T15:17:42Z","title":"Fine properties of the curvature of arbitrary closed sets","version":5},"cited_work":{"arxiv_id":"1708.01549","doi":null,"metadata_source":"pith","pith_arxiv_id":"1708.01549","snapshot_observed_at":"2026-08-14T11:14:14.944471Z","title":"Fine properties of the curvature of arbitrary closed sets","venue":"math.DG","work_id":"00df1fb8-9b9d-4e00-b219-ddabccbf2b64","year":2017},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.831412Z"},"links":{"cited_paper":"/paper/1708.01549","citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:0b01dbea43e86aa5b984b355d40180f8859a2daa4c77dc401702c1b4d8a3b14c","observation_id":"9a1846fc-0267-4ce9-baba-464eba6ba65c","resolution":{"observed_at":"2026-08-14T11:14:14.949761Z","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":"2026-08-14T11:14:15.075008Z","title":"Rectifiability and approximate differentiability of highe r order for sets","venue":null,"work_id":"489049ec-06c7-4890-a78d-ef28b468a2a8","year":2019},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.837107Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:d9a752eaab5697f95ed95f24f1157bb3f3f3d8f9efb10509a3b3cfb8e437578e","observation_id":"97ba5ba6-b44c-4ea1-8386-2a1a65fd7f7b","resolution":{"observed_at":"2026-08-14T11:14:15.080336Z","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":"1908.05952","last_updated":"2020-10-29T11:04:45Z","snapshot_observed_at":"2026-08-14T12:57:37.551072Z","submitted_at":"2019-08-16T12:52:35Z","title":"Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature","version":4},"cited_work":{"arxiv_id":"1908.05952","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.05952","snapshot_observed_at":"2026-08-14T11:14:14.923053Z","title":"Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature","venue":"math.DG","work_id":"d7c18de4-a12d-48bf-b9f1-9eacc91eb18d","year":2019},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.841640Z"},"links":{"cited_paper":"/paper/1908.05952","citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:e4a65de4bf988772166f47fb4b91c4ed7acc55df5f46f21909b3d29644ab86d0","observation_id":"3105140e-13b8-4436-af46-31e6182aeee2","resolution":{"observed_at":"2026-08-14T11:14:14.928363Z","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":"1903.10379","last_updated":"2020-03-02T09:07:03Z","snapshot_observed_at":"2026-08-14T16:57:13.078335Z","submitted_at":"2019-03-25T14:52:40Z","title":"The spherical image of singular varieties of bounded mean curvature","version":3},"cited_work":{"arxiv_id":"1903.10379","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.10379","snapshot_observed_at":"2026-08-14T11:14:14.897840Z","title":"The spherical image of singular varieties of bounded mean curvature","venue":"math.AP","work_id":"4913deaa-bd9f-47e4-b81e-7b7cec90e7b3","year":2019},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.846415Z"},"links":{"cited_paper":"/paper/1903.10379","citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:c1ffbe65ae7847d4157814f4c13d49120beca70b516b2fc9d5d4622e0386bbae","observation_id":"a0f399ee-a725-423e-ab01-31dabed3f144","resolution":{"observed_at":"2026-08-14T11:14:14.905258Z","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":"2026-08-14T11:14:15.058653Z","title":"Quadratic tilt-excess decay and strong max imum principle for varifolds","venue":null,"work_id":"52c3eae8-a067-4a11-8bf5-2d91e095c66a","year":2004},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.851065Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:315e1b1625b699e5ceb2f9871047797744b7d454921a96ad2fc042d5ef4e4341","observation_id":"d856014f-eb90-45e5-955c-1cc5ff51a673","resolution":{"observed_at":"2026-08-14T11:14:15.063776Z","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":"2026-08-14T11:14:15.043057Z","title":null,"venue":null,"work_id":"81c14b68-e07c-4a0a-906c-3dd2d36581f7","year":1973},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.855441Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:f35edef7ece1f67576f1afe2095fe1c44d562456d459f743a13045a478535de0","observation_id":"1cf225cc-d386-4732-bc6a-d7a73c54188a","resolution":{"observed_at":"2026-08-14T11:14:15.047817Z","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":"2026-08-14T11:14:15.027415Z","title":"Zur Frage der Geschwindigkeit des Wachsturms un d der Aufl¨ osung der Kristallfl¨ achen.Z","venue":null,"work_id":"cab2ba31-74db-4686-bb2a-878911246bd3","year":1901},"citing_paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T11:14:14.860023Z"},"links":{"citing_paper":"/paper/1908.09795"},"observation_digest":"sha256:a7cba095caf14bdc8bbe30ee741b56d8477e31a6f0f28a043ae8137e368c8199","observation_id":"d21130dd-f780-4c8e-b244-965210db0f37","resolution":{"observed_at":"2026-08-14T11:14:15.032519Z","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"}}],"paper":{"arxiv_id":"1908.09795","last_updated":"2019-08-26T16:55:36Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T15:33:47.202355Z","submitted_at":"2019-08-26T16:55:36Z","title":"Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":6,"verified_fuzzy":26},"total_outbound_references":37},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:1908.09795."}