{"as_of":"2026-08-16T20:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:27b586ae553d53679b126579b086b75bf8a1b90dcbd3cc586f167debcd78240c","coverage":[{"denominator":73,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":73,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:08:47.209716Z","state":"measured"},{"denominator":73,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":73,"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/1908.03776/citation-record","integrity":"/paper/1908.03776/integrity","json":"/paper/1908.03776/citation-record.json","paper":"/paper/1908.03776"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:08:56.192011Z","title":"SIAM J Imaging Sci9, 1788–1828 (2016)","venue":null,"work_id":"50f3e87c-9d9a-45d6-9ff8-bf4465c41e28","year":2016},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:44.750354Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:1d5fbc2c8fe6e760a642aab2c4d748e9b6026bfbf3cd70e7340ed4f8cadaec2d","observation_id":"aec66300-2c44-4391-8748-2109e5cf9315","resolution":{"observed_at":"2026-08-14T14:08:56.268479Z","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":"2026-08-14T14:08:56.114363Z","title":"Prince- ton University Press (2009)","venue":null,"work_id":"03f02acd-f113-4969-8aeb-ed02fff5933a","year":2009},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:44.836901Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:2f5b7f75dbba1dc7d81bc0f63af94e1d75a47063dc29ca40215127657e22b7dd","observation_id":"b7b7d916-4c9f-4c82-a64b-c674bf8c9b8b","resolution":{"observed_at":"2026-08-14T14:08:56.121318Z","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":"2026-08-14T14:08:55.909307Z","title":"CalcVarPartialDiﬀerEqu 16(3),299–333(2003)","venue":null,"work_id":"0f55a677-906a-460e-9e93-14b30b12f058","year":2003},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:44.847328Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:437512ca8142ded9f1b321ed474c1bad3a24beaf750cd96061ed997eed147874","observation_id":"d1e8b6c2-56b0-4761-863a-579932ae971c","resolution":{"observed_at":"2026-08-14T14:08:56.005256Z","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":"2026-08-14T14:08:55.886151Z","title":"Ultramicroscopy111(12), 1720–1733 (2011)","venue":null,"work_id":"271305ec-1694-4f78-8401-d77194ae8e31","year":2011},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:44.857599Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:3ddf8e1a40461a342e49d820024e0e509ae9d936e70c6bebe9b261a72ca438d7","observation_id":"8dc8c9c5-3a48-4fb8-9186-77c964beef77","resolution":{"observed_at":"2026-08-14T14:08:55.892626Z","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":"2026-08-14T14:08:55.627382Z","title":"In:A.Bruhn,T.Pock,X.C.Tai(eds.)EﬃcientAlgorithmsforGlobal Optimization Methods in Computer Vision, pp","venue":null,"work_id":"9c3e8f72-a10b-4015-bcdc-0eba1a099f74","year":2014},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:44.865088Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:eea82db6669efc710bdfc27e675739deae8aee75bae7f1ed7cbe735593fd5999","observation_id":"63d789fa-284f-45a9-93c1-af2d1606ae2a","resolution":{"observed_at":"2026-08-14T14:08:55.721942Z","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":"2026-08-14T14:08:55.603655Z","title":null,"venue":null,"work_id":"3bc974cf-3ef0-4009-bda6-3180d2678f0f","year":1994},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:44.988385Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:e2b92b2ae00d2b25fbb9a6fd984dcc5395b8fd314a45495342ee1e050a42dfec","observation_id":"ef568414-da9b-4b84-96fe-4973e201c9ac","resolution":{"observed_at":"2026-08-14T14:08:55.612175Z","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":"2026-08-14T14:08:55.406521Z","title":"IEEE Trans Med Imaging35, 1972–1989 (2016)","venue":null,"work_id":"f446deaa-aef1-4c0a-ad21-90ce6461026d","year":2016},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.003573Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:ff0086b622a067a991bc40fdaab497923b3cc1ab8577393b49d3d886bf4c0d25","observation_id":"5b96f3a6-c1cc-450a-b0d7-3b1866cc9523","resolution":{"observed_at":"2026-08-14T14:08:55.418620Z","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":"2026-08-14T14:08:55.269895Z","title":"De Gruyter (2014)","venue":null,"work_id":"8137e8b1-7e20-45d8-9f0c-804688b1b914","year":2014},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.072921Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:4d52351d2d7b81ab9db3f00a0b210e43b42a8d9dc61fa366159ea0277da5e5d0","observation_id":"eb917410-893d-48e4-bac3-2a527fbec008","resolution":{"observed_at":"2026-08-14T14:08:55.392455Z","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":"2026-08-14T14:08:55.226147Z","title":"SIAMJSciComput 38(1),A567–A597(2016)","venue":null,"work_id":"ca7333a8-d146-4091-ab05-95cf18cb2f01","year":2016},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.103068Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:553820794ec0e0170a694b211e51fe8914c2f8d8a1988ae32579b8b7d4023d9f","observation_id":"a0dd1aea-915d-42f8-96c1-9eda1295031b","resolution":{"observed_at":"2026-08-14T14:08:55.232395Z","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":"2026-08-14T14:08:55.034920Z","title":"JMathImagingVis 60,1459–1481 (2018)","venue":null,"work_id":"6072647f-1c6d-40a5-b13f-f07146ba4f0b","year":2018},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.109869Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:ae0854cd9d43ca55cc7d570d8d7ac641821a0835024dfb57145904b2b110fc02","observation_id":"bc760718-335b-4408-8a42-ee24eda0db2b","resolution":{"observed_at":"2026-08-14T14:08:55.147353Z","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":"1812.08540","last_updated":"2018-12-20T13:03:54Z","snapshot_observed_at":"2026-08-14T17:40:34.997998Z","submitted_at":"2018-12-20T13:03:54Z","title":"Recent Advances in Denoising of Manifold-Valued Images","version":1},"cited_work":{"arxiv_id":"1812.08540","doi":null,"metadata_source":"pith","pith_arxiv_id":"1812.08540","snapshot_observed_at":"2026-08-14T14:08:47.646643Z","title":"Recent Advances in Denoising of Manifold-Valued Images","venue":"math.NA","work_id":"fa0c5d9e-7ed1-478b-867c-9f6e1f5197ce","year":2018},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.117321Z"},"links":{"cited_paper":"/paper/1812.08540","citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:1516fdecdab678603d8d6906208213f99fac69e4534426ad0a20b3febec7ae26","observation_id":"46fd186b-5fd2-47db-a82c-878c7faa16d9","resolution":{"observed_at":"2026-08-14T14:08:47.748990Z","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":"2026-08-14T14:08:54.915326Z","title":"SIAM J Imaging Sci9, 901–937 (2016)","venue":null,"work_id":"1150d13b-7814-49c8-917e-158559d60221","year":2016},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.124830Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:3d79a364f1a035ada204ab52aec0b0450c838da9d7eddf4481bbbbe703e69640","observation_id":"e5e065f5-ef75-4afd-90b9-bc253ac0e794","resolution":{"observed_at":"2026-08-14T14:08:55.018564Z","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":"2026-08-14T14:08:54.832004Z","title":"SIAMJImaging Sci 11, 325–360 (2018)","venue":null,"work_id":"d7657a9d-fe26-4ad4-bdce-1f68a67aa698","year":2018},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.135530Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:f22b193d887836ac53ae79b0a4197a930f103fc58c368f62b9fd0713902b8ed2","observation_id":"c12a17c4-7d4e-452c-865e-27583c0d37e0","resolution":{"observed_at":"2026-08-14T14:08:54.838662Z","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":"2026-08-14T14:08:54.699452Z","title":"In: Proc ICCV 2017, pp","venue":null,"work_id":"eb78a63d-a953-4e41-8b66-92c18468bf0e","year":2017},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.195416Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:b236e218b25038b319d22ae6d131cfa02d3bdc5cf0cb23f5812854ff8dcabae1","observation_id":"9bfcb32a-ba4f-4759-a568-1e1b246728a3","resolution":{"observed_at":"2026-08-14T14:08:54.705739Z","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":"2026-08-14T14:08:54.545850Z","title":"Arch Rational Mech Anal229(1), 361–415 (2018)","venue":null,"work_id":"095f78f8-9d87-4e06-b0ef-ebc613047e3f","year":2018},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.201485Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:8b88a3e1d1c0fdd2c06b3c0f0191ee854243e577bb2017dc45f388ac5523f9a0","observation_id":"d962e72a-1c44-4d8c-a6b9-b0e2b93ad125","resolution":{"observed_at":"2026-08-14T14:08:54.684987Z","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":"2026-08-14T14:08:54.521594Z","title":"SIAM J Imaging Sci11, 1785–1848 (2018)","venue":null,"work_id":"de758a32-4987-4c3d-b960-4e197a36b382","year":2018},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.209790Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:f0398803aa0b7a65954b40b20bee5090c6584f6670bbd260c97b38662f626ee4","observation_id":"d00666eb-75d7-4706-b08d-4e5710d286be","resolution":{"observed_at":"2026-08-14T14:08:54.528699Z","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":"2026-08-14T14:08:54.378382Z","title":"In: Proc STOC 1998, pp","venue":null,"work_id":"59fa823b-a2e7-4a21-a84a-8fc9fa195bfc","year":1998},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.215889Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:4c070bb1206ec920c259d07c65b90b6a67f880ca7b0174a62bdc141d9210799d","observation_id":"c0b16d43-f0c9-402b-8d2e-ccf494af93e3","resolution":{"observed_at":"2026-08-14T14:08:54.467189Z","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":"2026-08-14T14:08:54.296400Z","title":"SIAM J Imaging Sci5(4), 1113–1158 (2012)","venue":null,"work_id":"acaf4b25-500a-4eed-ac43-1668ba5ce6ab","year":2012},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.258681Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:2494c381adf4234469fe88bf569ee458926f7e6e8be87ad59c36fd9bb271e754","observation_id":"fc03c6f6-d908-492c-add4-e834b2546486","resolution":{"observed_at":"2026-08-14T14:08:54.351267Z","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":"2026-08-14T14:08:54.228370Z","title":"J Math Imaging Vis40(1), 120–145 (2011) Lifting methods for manifold-valued variational problems 23","venue":null,"work_id":"7cf026f8-f965-4434-90a6-dde88ddc6391","year":2011},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.319018Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:1f976f094b2bbbd1dda09ac60599b38187c5ce73dd580aee4aa5ad22cfc9f40e","observation_id":"e0d6b5e1-2070-4a99-a02c-1de21b74c241","resolution":{"observed_at":"2026-08-14T14:08:54.277828Z","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":"2026-08-14T14:08:54.127401Z","title":"SIAM J Appl Math66, 1632–1648 (2006)","venue":null,"work_id":"85b86752-ccd7-4fc3-95dc-ad48bd4f9ef9","year":2006},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.326243Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:9f56ef62a8759b53525371612b187a2c66e010dc20b2913fb5063118d66d837c","observation_id":"9816e667-c112-40fd-8591-777a8b22cf19","resolution":{"observed_at":"2026-08-14T14:08:54.138249Z","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":"2026-08-14T14:08:54.039271Z","title":"JVisCommunImageRepresent 12,422–435(2001)","venue":null,"work_id":"1010fca2-4471-4fc1-8f3b-a2a958d9ac40","year":2001},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.334814Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:4fd0445ac517f4a52069143917d1f020178761d226c0d3f08a34b6748b15d125","observation_id":"144ccd9c-eb9e-42e4-bcc5-1f323c9b1032","resolution":{"observed_at":"2026-08-14T14:08:54.049747Z","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":"2026-08-14T14:08:53.940684Z","title":"J Math Imaging Vis20, 147–162 (2004)","venue":null,"work_id":"6f3d4ad7-9c04-45c8-a9d3-4313e73e8356","year":2004},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.346589Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:e58028cd7fef3345e89d434864840a96c47a1c08f0fad9a52289624136edad9e","observation_id":"74aa9f44-d307-447a-9814-5a772e510149","resolution":{"observed_at":"2026-08-14T14:08:53.964944Z","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":"2026-08-14T14:08:53.841478Z","title":"J Math Imaging Vis47, 258–277 (2012)","venue":null,"work_id":"faed7999-23ff-4c07-8e41-0484eb63f840","year":2012},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.393517Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:f22d597105e97e84f733eba54c9fdd1f2ac6e454aff34736d70bd03d94e7a411","observation_id":"219b2c0b-73e1-407c-b7ff-013f0bb4c592","resolution":{"observed_at":"2026-08-14T14:08:53.924155Z","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":"2026-08-14T14:08:53.713678Z","title":"In: Proc ICCV 2009, pp","venue":null,"work_id":"8e1b9deb-087d-436d-8976-135f459bea0b","year":2009},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.401871Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:796a6d9f999ba09f82c2acc869b9a5e888f9a2d2a906c4f66e13484758f2ae1f","observation_id":"548b1716-f5ce-4dac-8356-b163cc821065","resolution":{"observed_at":"2026-08-14T14:08:53.796705Z","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":"2026-08-14T14:08:53.691525Z","title":null,"venue":null,"work_id":"52d5d89f-9706-4a11-98fd-0fe0c3abfa7a","year":2013},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.412468Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:fc162829edb00424a5379d47d7ad2b5bfe70cb78d893e307ca2770fbf586f1ba","observation_id":"de11db25-6333-4d2d-83b9-ee3e9f149d59","resolution":{"observed_at":"2026-08-14T14:08:53.697293Z","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":"2026-08-14T14:08:53.590361Z","title":"IndianaUMathJ 24,351–407 (1974)","venue":null,"work_id":"4f9abd3d-41e8-4016-86b8-fb03fad5c6cc","year":1974},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.441284Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:13c67aa704c291e4a48eeccec5e2e7acb3f1f9766dd9f6d845e0ae3b78fd6ecf","observation_id":"2c65b52c-d7d5-4b55-8510-2a8e388358e8","resolution":{"observed_at":"2026-08-14T14:08:53.678553Z","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":"2026-08-14T14:08:53.449596Z","title":"Int J Comput Vis105, 171–185 (2012)","venue":null,"work_id":"6274c8c8-6570-424e-be96-91d6329e552c","year":2012},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.476608Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:2d324a7e01f14a7df59d864f3486a99de6eb678f76f018ae25fb41b21868269a","observation_id":"c63c2720-4d2a-4b52-a5b3-3f6d22b48163","resolution":{"observed_at":"2026-08-14T14:08:53.572880Z","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":"2026-08-14T14:08:53.302685Z","title":"US geological survey fact sheet3053(4) (2009)","venue":null,"work_id":"cfa4dfa3-0cd4-4255-9788-c3221d1ddbfc","year":2009},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.521064Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:443e55674b19fc4fa9d9be04bfbbdb97b9762038cd237ded402c718500038c6e","observation_id":"6b46b8da-dc4f-4bd4-b213-2ea82224fefe","resolution":{"observed_at":"2026-08-14T14:08:53.396931Z","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":"2026-08-14T14:08:53.178984Z","title":"Berlin: Springer (1998)","venue":null,"work_id":"8b64f5d3-5e77-4cab-98c9-6d7d64579482","year":1998},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.528247Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:54d04008010ea3f6f2e4efca5e172d831456b88edb471de8c48a331fd6c9d7eb","observation_id":"7ebed6f0-c994-4365-bcb8-46bcd1b74fb6","resolution":{"observed_at":"2026-08-14T14:08:53.285239Z","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":"2026-08-14T14:08:53.157434Z","title":"In: Proc ECCV 2010, pp","venue":null,"work_id":"2cbace44-b35b-4df5-a116-04ceef4fb58f","year":2010},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.538813Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:878cf354c4466f48a4dca19b359c18ffcb03c0be4ba3dc903a5fd823542d0c68","observation_id":"806ca50f-228c-4dd3-adfe-12dfd0fee59b","resolution":{"observed_at":"2026-08-14T14:08:53.163740Z","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":"2026-08-14T14:08:53.085107Z","title":"SIAM J Imaging Sci6, 1626–1664 (2013)","venue":null,"work_id":"c5b490c7-99b1-4b03-a603-106c35464c84","year":2013},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.551670Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:4eba6eee643b1b134dc5e448eec909e5cef6e18e9cbbbf588da0b9906693b694","observation_id":"2956b9ef-61f1-45b5-877c-dddaeb16c153","resolution":{"observed_at":"2026-08-14T14:08:53.091910Z","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":"2026-08-14T14:08:52.950325Z","title":"In: Proc 6th NIPS Workshop Optim Mach Learn, pp","venue":null,"work_id":"5ded443d-d705-4dfd-844c-aefa270f41ff","year":2013},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.594566Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:239605f30bdac9542e5e39dd5fcb84b5315040f08ed995728cc376ee1b4ab7b9","observation_id":"29aa6299-644d-456a-a382-ff105066e843","resolution":{"observed_at":"2026-08-14T14:08:53.060089Z","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":"2026-08-14T14:08:52.780486Z","title":"J R Stat Soc Series B Stat Methodol51(2), 271–279 (1989)","venue":null,"work_id":"427fbcee-8e64-4dbd-bcee-f1ff1b88cc6f","year":1989},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.628200Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:dfe64036deb1a5e281b5edf9ae7cce189d01867a1e060c06fbddf227d1e9e3a1","observation_id":"7a5f9e72-6384-413d-973e-9161673a15fa","resolution":{"observed_at":"2026-08-14T14:08:52.935642Z","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":"2026-08-14T14:08:52.628035Z","title":"IEEETrans Pattern Anal Mach Intell25, 1333–1336 (2003)","venue":null,"work_id":"afa0508a-8aaa-41eb-a0ec-d1d6f19bec69","year":2003},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.638896Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:ef50a390927cad4fee342d861c2c6b6d346b85c447d39ccee68c9726428600ef","observation_id":"e28cc0d9-a1fb-4e59-a88e-e7e48b8e07c7","resolution":{"observed_at":"2026-08-14T14:08:52.761838Z","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":"2026-08-14T14:08:52.605385Z","title":"Commun Pure Appl Math 30, 509–541 (1977)","venue":null,"work_id":"5bff8d8c-c5a6-4e47-a3ca-9960767f784f","year":1977},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.670916Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:f0cfcc660ed26a435c69de0ed66121b66bd77097d35f1b7f7e08f9d77233c9af","observation_id":"16d07727-94c6-48be-9310-3c3bf47f260b","resolution":{"observed_at":"2026-08-14T14:08:52.611835Z","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":"2026-08-14T14:08:52.509632Z","title":"J ACM49, 616–639 (2002)","venue":null,"work_id":"5b8c960b-b8e9-4d30-8d86-f79dac0b2e22","year":2002},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.718881Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:fc84b203449de0f8c90bda2f9dbfb483761c93e11ffa13e2f2cd8ff328bbc4be","observation_id":"8da2dccd-6caf-482d-b1da-a54e656f44d8","resolution":{"observed_at":"2026-08-14T14:08:52.516801Z","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":"2026-08-14T14:08:52.400676Z","title":"In: Proc ECCV 2008, pp","venue":null,"work_id":"468365a5-83c4-4254-aa5a-5bf4bc9b7109","year":2008},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.738646Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:8e702984e112bf73caa09ac0bdae24bcd8a227446a88d17ebe95a501b85e179c","observation_id":"d9afe5e8-9660-4820-899a-f66d0322c7b3","resolution":{"observed_at":"2026-08-14T14:08:52.409143Z","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":"2026-08-14T14:08:52.269594Z","title":"In: Proc ECCV 2016, pp","venue":null,"work_id":"f45b906f-b0bd-471c-b375-1ddacb22ebd2","year":2016},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.744417Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:72ba8ce9bf4c4c6762ebdf9aead88ceb02f9dc43d32332823f3f4b532df4906d","observation_id":"f4d62829-a05d-4228-8219-2470189775b7","resolution":{"observed_at":"2026-08-14T14:08:52.354148Z","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":"2026-08-14T14:08:52.011310Z","title":"SIAM J Imaging Sci10, 416–448 (2017)","venue":null,"work_id":"4563c0a4-12f5-47ba-85f0-d738f9f156f1","year":2017},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.752411Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:9d5459f1fd7be3acb52f7c65400489b01535c6b6beb52d5c61873b07b18a225b","observation_id":"4fc3431e-8c3f-4b10-aa7a-9bc55bc8faaa","resolution":{"observed_at":"2026-08-14T14:08:52.151913Z","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":"1712.07528","last_updated":"2019-05-28T08:48:01Z","snapshot_observed_at":"2026-08-14T20:01:39.572872Z","submitted_at":"2017-12-20T15:36:17Z","title":"Harmonic mappings valued in the Wasserstein space","version":2},"cited_work":{"arxiv_id":"1712.07528","doi":null,"metadata_source":"pith","pith_arxiv_id":"1712.07528","snapshot_observed_at":"2026-08-14T14:08:47.539326Z","title":"Harmonic mappings valued in the Wasserstein space","venue":"math.AP","work_id":"a4bf06ea-d200-4e02-9c73-1f37048c0f00","year":2017},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.870720Z"},"links":{"cited_paper":"/paper/1712.07528","citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:bceb8451cdbdb93928698e3410e90a224ac0d47c6900e9bcb80df827b8d7c270","observation_id":"4b0a30e8-9cf4-4005-b14d-e460dc39a217","resolution":{"observed_at":"2026-08-14T14:08:47.620175Z","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":"2026-08-14T14:08:51.793219Z","title":"2nd revised ed., vol","venue":null,"work_id":"f53d3d39-c57f-4c0f-bcb8-1128439454a2","year":2013},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.935945Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:55c2ea199cb2a75ca4aa22ce0d98c10bc908c560bccf5b2d276b1ed5e2834d60","observation_id":"07a239fd-a510-4f24-a4a4-50b9bea2cd76","resolution":{"observed_at":"2026-08-14T14:08:51.934179Z","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":"2026-08-14T14:08:51.690951Z","title":null,"venue":null,"work_id":"32e039c7-fe4d-4a17-937e-9822d465775f","year":2011},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.942557Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:f81f3b96ced126b2b6ce7010920a8c6d471e0e45de98618df6af95857e6000b9","observation_id":"af4d6912-c50c-4e96-b375-debe45763090","resolution":{"observed_at":"2026-08-14T14:08:51.775535Z","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":"2026-08-14T14:08:51.626804Z","title":"In: Proc ICCV 2009, pp","venue":null,"work_id":"bfd28064-67ec-4354-aeb5-a8169f143349","year":2009},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:45.948880Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:864dbe45b283a5942ff4184a88906dd20ea2cbfd17c5fdf8d403ab4c43c1112a","observation_id":"b6041660-978c-46ac-b90a-8c7aaf37883f","resolution":{"observed_at":"2026-08-14T14:08:51.677745Z","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":"2026-08-14T14:08:51.504602Z","title":"Int J Comput Vis104(3), 241–269 (2013)","venue":null,"work_id":"f81c8005-4e39-44dd-a1fb-504466e8c1f1","year":2013},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.073225Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:b33ef97126200fec8f59f95c4995de8b580b421f997b27e96ddaab3341c99aa4","observation_id":"245ac7f1-d12f-4e0c-8238-3a07777fb52c","resolution":{"observed_at":"2026-08-14T14:08:51.511577Z","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":"2026-08-14T14:08:51.373035Z","title":"J Math Imaging Vis47, 239–257 (2012)","venue":null,"work_id":"6d12351d-c962-477a-ba96-65294b2bf6bc","year":2012},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.151993Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:81748e006268032ecab92ee0c9a470534d1304c950dbcd986b6177683d62f63c","observation_id":"b3975fe6-6521-4119-aed9-bd99db169a1b","resolution":{"observed_at":"2026-08-14T14:08:51.491262Z","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":"2026-08-14T14:08:51.172532Z","title":"SIAM J Imaging Sci4(4), 1049–1096 (2011) 24 Thomas Vogt, Evgeny Strekalovskiy, Daniel Cremers, Jan Lellmann","venue":null,"work_id":"1ab0d78e-4307-4b3f-8553-3e953fcba972","year":2011},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.159844Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:ab9fee8c12d36137b57c372cbe07ced67fa903440c298be46ed59b2e23784c4e","observation_id":"c3b8ddaa-4009-4583-a53a-72c4536ba3ff","resolution":{"observed_at":"2026-08-14T14:08:51.293349Z","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":"2026-08-14T14:08:51.147888Z","title":"In: Proc ICCV 2013, pp","venue":null,"work_id":"33624721-9d8f-42d3-9fcf-f1a644ff69da","year":2013},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.167721Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:5978fcfcb60376665c88d645ea8177d8bfc8c8d3f414f303961e2483f2636988","observation_id":"0241e939-3b5f-43a8-8823-2d1bce7a6a59","resolution":{"observed_at":"2026-08-14T14:08:51.155970Z","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":"2026-08-14T14:08:50.969220Z","title":null,"venue":null,"work_id":"76563202-e9a6-4d9a-a8cc-3a7d055d77f4","year":2018},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.267943Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:9ab02b72d09e19714e8b924d4962a7801f384900e560cc5fe484dff07a11efa7","observation_id":"8bf7f178-61a2-4d5d-bf9a-210819d09b2c","resolution":{"observed_at":"2026-08-14T14:08:51.064155Z","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":"2026-08-14T14:08:50.755375Z","title":"Rev Geophys36(4), 441–500 (1998)","venue":null,"work_id":"5c8db700-b34b-42ad-917e-cad21183b29c","year":1998},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.373508Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:8dfd553a50f45442b9bec92e234c5288ce6d1dafc0dc1ffb1fac6536561ff211","observation_id":"b995d409-d00d-4070-a44f-052a7241572a","resolution":{"observed_at":"2026-08-14T14:08:50.907226Z","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":"2026-08-14T14:08:50.594432Z","title":"In: Proc ICCV 2017, pp","venue":null,"work_id":"65579bed-ef7b-4958-ae75-3411bcbd4058","year":2017},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.381219Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:8846d9364851a475c1d87b376a878c95ad245700b53000a8fa7a48fe532db2d8","observation_id":"e95b4a1a-e9e5-41fe-b55b-42634c3818fc","resolution":{"observed_at":"2026-08-14T14:08:50.605317Z","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":"2026-08-14T14:08:50.479476Z","title":"In: Proc CVPR 2019 (2019)","venue":null,"work_id":"a57a1b0e-2f8f-4428-ace4-51d22fa06157","year":2019},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.387162Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:8f802d9aff699a5b189f4270a559397e3de74d0207e2da89ce0a0876b048d5bc","observation_id":"b564c4fa-5d77-49c6-ae6c-b8137435068f","resolution":{"observed_at":"2026-08-14T14:08:50.489974Z","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":"2026-08-14T14:08:50.257881Z","title":"In: Proc CVPR 2016 (2016)","venue":null,"work_id":"517615a6-eebd-4999-9e59-33a875a6ab0e","year":2016},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.393979Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:66876862be4fef493bab30e3810f91bdde2bd9a366520df39ca77052ab73ac9a","observation_id":"0b923561-d4e3-4503-9a98-2da1fe4f7ef6","resolution":{"observed_at":"2026-08-14T14:08:50.340913Z","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":"2026-08-14T14:08:50.060427Z","title":"Proc ICCV 2009 pp","venue":null,"work_id":"e4a74f61-8da1-478b-bbdd-93e8ff0baba0","year":2009},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.487348Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:d797e200012a84242b895a87bd956753e4d6065f31643b2f6c3c4be516a9144c","observation_id":"93f0b406-75bb-41ce-8333-d20f93748b91","resolution":{"observed_at":"2026-08-14T14:08:50.190959Z","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":"2026-08-14T14:08:49.794432Z","title":"SIAM J Imaging Sci3(4), 1122–1145 (2010)","venue":null,"work_id":"5cc1db56-ec64-43a4-96be-863885fb30c3","year":2010},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.497417Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:e7d280a8852ac69e0693466fb0a9a1e7b1ca069365a9b20dc3093b0974dfc2bb","observation_id":"5bb9c16f-c541-48af-8797-ef7d4e48253d","resolution":{"observed_at":"2026-08-14T14:08:49.940589Z","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":"2026-08-14T14:08:49.567407Z","title":"In: Proc ECCV 2008, pp","venue":null,"work_id":"77c86da5-c707-4be7-adad-a134dba67373","year":2008},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.505081Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:acaac7de1a603adecf76f6eca02b50174d8189581d648ea281f735cd44bbd708","observation_id":"37fd2d26-5b74-4d9a-8241-8852e163fea2","resolution":{"observed_at":"2026-08-14T14:08:49.630470Z","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":"2026-08-14T14:08:49.509650Z","title":"In:A.Kuijper,K.Bredies,T.Pock,H.Bischof(eds.)ProcSSVM2013,pp.282–","venue":null,"work_id":"f8f75222-dffc-48b6-947d-78c5f0dc41a9","year":null},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.589476Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:1370d93d03eaca51d97d3ae000fca22832b79d4e8deec14b42edede22880caee","observation_id":"5263b1b4-fd59-46c2-8ffe-412a305c4093","resolution":{"observed_at":"2026-08-14T14:08:49.550398Z","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":"2026-08-14T14:08:49.275953Z","title":"In: Proc 3rd ERS Symp Spac Serv Env (1997)","venue":null,"work_id":"b6fc3ad7-9a29-421d-979f-9babafb4a181","year":1997},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.680019Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:255c283836cec0254a8207d5d2ce0c8a4d38d275a8bcda7e3843d9932e62cab2","observation_id":"71644c48-e9dc-49da-8c69-7a3b77a5c4d7","resolution":{"observed_at":"2026-08-14T14:08:49.381480Z","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":"2026-08-14T14:08:49.103673Z","title":null,"venue":null,"work_id":"2b104844-5a25-41c8-a4e1-a3d29068034f","year":2012},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.685085Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:22a40fe0d2c1fb7da93ec0c7bd8990b63865649800802389b65ff0e10acb5c16","observation_id":"46635359-641a-4f0f-bc81-faed0561b1d2","resolution":{"observed_at":"2026-08-14T14:08:49.181748Z","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":{"arxiv_id":"1808.00505","last_updated":"2018-08-01T18:47:36Z","snapshot_observed_at":"2026-08-16T20:19:01.117490Z","submitted_at":"2018-08-01T18:47:36Z","title":"Wavelet Sparse Regularization for Manifold-Valued Data","version":1},"cited_work":{"arxiv_id":"1808.00505","doi":null,"metadata_source":"pith","pith_arxiv_id":"1808.00505","snapshot_observed_at":"2026-08-14T14:08:47.406756Z","title":"Wavelet Sparse Regularization for Manifold-Valued Data","venue":"math.NA","work_id":"77705439-31fc-46f7-ae0e-e11942561146","year":2018},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.822861Z"},"links":{"cited_paper":"/paper/1808.00505","citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:5028edf1e39094ec79ab188448e8eb7d5a09bf98539952dff2d4285a531f5ee8","observation_id":"469bba82-b97a-4ee4-87d4-020cf9cea0a6","resolution":{"observed_at":"2026-08-14T14:08:47.418480Z","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":"2026-08-14T14:08:49.076530Z","title":null,"venue":null,"work_id":"602f8fb3-6701-45f9-b666-de6b506f6ec6","year":2018},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.830704Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:4737fae968ee6902b4d98e4b11f5da6abd047dc4927a87463b6b23f3960f511f","observation_id":"9ed28832-2c55-492a-a17e-f0bc315f76a4","resolution":{"observed_at":"2026-08-14T14:08:49.088053Z","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":"2026-08-14T14:08:48.844478Z","title":null,"venue":null,"work_id":"bdf9f9d1-5ed1-45cb-b47a-e6bf51551599","year":2015},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.843811Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:315b91879e646cde32a3981e0255c1f5d67dc198b2a822b2a971a6ae70ec4c3f","observation_id":"01a924a4-6903-4101-b38d-36369e162df5","resolution":{"observed_at":"2026-08-14T14:08:48.851627Z","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":"2026-08-14T14:08:48.703770Z","title":"In: Proc CVPR 2011, pp","venue":null,"work_id":"850f9b52-f578-4ccd-9d82-28e8ea39baf2","year":2011},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.850882Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:82b001146bafd923f915fbb81055be760b308f49d7770bcd203754a8a5593adb","observation_id":"2b4c0730-e468-429b-b4d2-9d38aec24be6","resolution":{"observed_at":"2026-08-14T14:08:48.713854Z","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":"2026-08-14T14:08:48.596626Z","title":"Proc ICCV 2011 pp","venue":null,"work_id":"4c43db89-1a02-40a5-84d7-495e08bf6e93","year":2011},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.932652Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:3a5770718b0c5d009d32770640b04c1dcf26bd023c741e3088608f6804c3aa68","observation_id":"27020faf-22d7-49fd-9e0a-3552e663af1f","resolution":{"observed_at":"2026-08-14T14:08:48.687679Z","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":"2026-08-14T14:08:48.455609Z","title":"In:A.Fitzgibbon,S.Lazebnik,P.Perona,Y.Sato,C.Schmid(eds.)ProcECCV 2012, pp","venue":null,"work_id":"6838aa47-bc1b-418d-9afd-1672acaf66a6","year":2012},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.982661Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:9f7f7b544391a06858ba10f317e7575bc135a06d5a1caf3530c04a474e2882f1","observation_id":"b170776a-9df2-4352-91ec-842c8a396a13","resolution":{"observed_at":"2026-08-14T14:08:48.577022Z","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":"2026-08-14T14:08:48.390964Z","title":"J Math Imaging Vis60, 1482–1502 (2018)","venue":null,"work_id":"3287b148-f690-4bb0-8602-394d26cd62e1","year":2018},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.988969Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:b94c00b46a941045bd7b4578430e8efb8f68b2fe6bf136ed71cb28827649796d","observation_id":"750a75ce-afb8-43ad-9c8c-a403cff58241","resolution":{"observed_at":"2026-08-14T14:08:48.441150Z","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":"2026-08-14T14:08:48.351034Z","title":null,"venue":null,"work_id":"97037664-2c07-43ae-a686-bece05149d2c","year":2019},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.994630Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:ecc40b171fac669fda267d62c02a09d983deb0723f4132057f14a02f9ff59d4a","observation_id":"17343bcb-acdc-49f9-a791-e0594166cc76","resolution":{"observed_at":"2026-08-14T14:08:48.371581Z","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":"2026-08-14T14:08:48.245841Z","title":"SIAM J Imaging Sci7, 2226–2257 (2014)","venue":null,"work_id":"2d0b5de8-9857-40b6-baa1-1d3a19a7adcb","year":2014},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:47.098157Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:6482a8afd2091e5253abeec9d3b8bc88bb345dacba913c224e4f97308365de8d","observation_id":"61adf2da-3a65-4b69-9797-6093f45faae3","resolution":{"observed_at":"2026-08-14T14:08:48.264283Z","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":"2026-08-14T14:08:48.170643Z","title":"J Math Imaging Vis55, 428–445 (2015) Lifting methods for manifold-valued variational problems 25","venue":null,"work_id":"9cdee8fe-0149-4512-8998-78a8a9508ae4","year":2015},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:47.189931Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:b188d50cb6aa2999832dc13e136fe48399f69a4dd55d9a92dd22cde5d7500df3","observation_id":"fd06c0a3-e40a-4c66-8532-e76257db0139","resolution":{"observed_at":"2026-08-14T14:08:48.178055Z","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":"2026-08-14T14:08:48.032978Z","title":null,"venue":null,"work_id":"9160b055-593a-4820-8d6c-a93e0bfe5023","year":2016},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:47.198161Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:7ae86f84ca040da5cd591490a015bd9baae419d538e0a1340d37df64c56e93e1","observation_id":"0448d27b-8c51-484b-a7d1-265dacd933f5","resolution":{"observed_at":"2026-08-14T14:08:48.042412Z","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":"2026-08-14T14:08:47.890275Z","title":"In: Proc VMV 2008, pp","venue":null,"work_id":"25cfa46a-687f-46de-bcfd-9f76b4ca8b34","year":2008},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:47.204035Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:0bbf6e17ccb76c1a5f5d6b7fa6967734f1ed39970d4333a4fdfd1c002a23f969","observation_id":"af758539-ded1-44a5-86b1-184f80295358","resolution":{"observed_at":"2026-08-14T14:08:47.901983Z","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":"2026-08-14T14:08:47.769332Z","title":"In: Proc ECCV 2012, pp","venue":null,"work_id":"1c31cfb7-f931-431c-86a2-1fd15568714b","year":2012},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:47.209716Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:c0cbf4402d74e5da462b719638ff74638335042aaf1d17f2ec6e3d563925de17","observation_id":"1aec917f-b4c2-4a05-aff8-8a3e25ec8f25","resolution":{"observed_at":"2026-08-14T14:08:47.873192Z","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":"2026-08-14T14:08:48.994525Z","title":null,"venue":null,"work_id":"55944c87-7587-497d-af32-f4f39127fc82","year":2019},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":277,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.837055Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:cedb0cf5765b8c16feb48b5d64240c51e039400ef07c2ba6225bf1bf32be71fd","observation_id":"cb931387-b670-4238-b5a6-712884261cc4","resolution":{"observed_at":"2026-08-14T14:08:49.001236Z","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":"2026-08-14T14:08:49.397366Z","title":null,"venue":null,"work_id":"b0e82b15-1ff1-4c52-8793-e52908557e42","year":2013},"citing_paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems","version":1},"reference_index":293,"source":"pdf_text","source_observed_at":"2026-08-14T14:08:46.673455Z"},"links":{"citing_paper":"/paper/1908.03776"},"observation_digest":"sha256:be201b9f12bcfa7f08320d611d7e2ab54e6ee4fe4bdd8dafdcd19a3a2d543c0b","observation_id":"bca84319-07a3-448f-89f1-602aaada8046","resolution":{"observed_at":"2026-08-14T14:08:49.436541Z","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"}}],"paper":{"arxiv_id":"1908.03776","last_updated":"2019-08-10T16:04:02Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-14T14:00:06.386901Z","submitted_at":"2019-08-10T16:04:02Z","title":"Lifting methods for manifold-valued variational problems"},"reference_resolution":{"displayed":73,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":3,"verified_fuzzy":59},"total_outbound_references":73},"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 73 of 73 outbound references and 0 inbound Pith citation observations for arXiv:1908.03776."}