{"as_of":"2026-08-16T21:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aeea24e2e1ad20c1a75304d92aca96873f3f443303e3bb087bb97e42ec039bbf","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:31:33.663404Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"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/1908.09113/citation-record","integrity":"/paper/1908.09113/integrity","json":"/paper/1908.09113/citation-record.json","paper":"/paper/1908.09113"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:35.039010Z","title":"Beckmann, A continuous model of transportation,Econometrica 20, 643–660, 1952","venue":null,"work_id":"34c1eec6-d0ec-416b-b264-3799c1849615","year":1952},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.276151Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:fb08c486a7be1aea2246de966bb313bbf739a564937eeb343fe0dc170e6280fb","observation_id":"1342ba7e-39ff-47e6-90b2-9739dc4cec38","resolution":{"observed_at":"2026-08-14T11:31:35.045217Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.955002Z","title":"Bombieri, E","venue":null,"work_id":"f7354e00-286f-4f3e-8ca1-5b196c7307a8","year":1969},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.298074Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:dd59cb2d0dd0a8b4d719b0db7c6946b5ff609ecb80d29ea61d6be15ba8bb5c80","observation_id":"4a195150-b3aa-48a6-a5d4-7c20dd9a9e0c","resolution":{"observed_at":"2026-08-14T11:31:34.966596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.883539Z","title":"De Pascale, L","venue":null,"work_id":"bf1d38d2-4ae8-4f8d-badd-934f3da6714e","year":2004},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.309840Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:ec385ca2e783f03e3fb9ee3f33e3c814383d3100ee2eadc672db294e3142f8fb","observation_id":"165d7ffa-389e-4685-bc95-d61b18afa26b","resolution":{"observed_at":"2026-08-14T11:31:34.910847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.841184Z","title":"De Pascale and A","venue":null,"work_id":"5ece1417-9ff0-4554-b6cb-5fe3ff7a12ec","year":2002},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.326305Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:d92e2a328b3f276a5c38c0c355678d5eff6db905e00c6bee28239232fadcae55","observation_id":"1fef4a09-6b3b-4ac9-8d23-255cf23e935e","resolution":{"observed_at":"2026-08-14T11:31:34.848449Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.803567Z","title":"De Pascale and A","venue":null,"work_id":"dc983caf-14c5-4636-b704-c01e1e2d4a1a","year":2004},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.345918Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:636f65be20cfb292e78fd2218d8471d955c2a35c340a430dd36f003ae7d73d5f","observation_id":"a5ffa5a6-4a4f-4882-b2b4-f3ca777d7d60","resolution":{"observed_at":"2026-08-14T11:31:34.813640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.771546Z","title":"Dweik and F","venue":null,"work_id":"b2756e5f-2897-4028-b6ad-a32c9f0c72c1","year":2019},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.372069Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:18dd2fa2937f12678c3ac2ff827b0b6e215e0077abe48e083f4363bb851e2f98","observation_id":"92c4722b-3dd0-4ab1-847e-2ca86806ba65","resolution":{"observed_at":"2026-08-14T11:31:34.778359Z","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":"1606.00705","last_updated":"2016-06-02T14:44:06Z","snapshot_observed_at":"2026-08-14T21:54:30.682940Z","submitted_at":"2016-06-02T14:44:06Z","title":"Summability estimates on transport densities with dirichlet regions on the boundary via symmetrization techniques","version":1},"cited_work":{"arxiv_id":"1606.00705","doi":null,"metadata_source":"pith","pith_arxiv_id":"1606.00705","snapshot_observed_at":"2026-08-14T11:31:33.829525Z","title":"Summability estimates on transport densities with dirichlet regions on the boundary via symmetrization techniques","venue":"math.AP","work_id":"85feb965-d91f-46f5-8bae-08dded4e561b","year":2016},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.423001Z"},"links":{"cited_paper":"/paper/1606.00705","citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:c1abad0a20488d808d618b3e00629eaee0ad69cc4dc8829ca62b4b8158b18ee4","observation_id":"40dc7d5d-82d8-4e43-9d4c-80d5d08ea2a0","resolution":{"observed_at":"2026-08-14T11:31:33.877698Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.717188Z","title":"Ev ans and R.F","venue":null,"work_id":"d4cb0fa2-cc9a-4735-91e9-c5a7b9489996","year":1992},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.445373Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:0f3d4195cdfdd7a90fe158b7369b3340a4214bb89ec11a08d842af99ed394d8e","observation_id":"d042ea7c-2123-4e8f-b50c-f4b9a5c95ab0","resolution":{"observed_at":"2026-08-14T11:31:34.733848Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.668859Z","title":"Giusti, Minimal surfaces and functions of bounded variation, Birkhäuser, Basel, 1984","venue":null,"work_id":"e08e32d0-86fb-425f-820a-caa09ca9d3d6","year":1984},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.456487Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:ce45b04e2c4e1e37593221ad26c1ccf2552e2d95188f47068aa528e177cb10d5","observation_id":"335abd52-537c-430b-b679-642869ef0e3f","resolution":{"observed_at":"2026-08-14T11:31:34.680070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.615869Z","title":"Górny, Planar least gradient problem: existence, regularity and anisotropic case,Calc","venue":null,"work_id":"6bde7347-841c-4a52-9d66-90591b552794","year":2018},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.472565Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:052049ce372d092ee338f13b42a10a1c4167eacd91867b115e1521f1badb243e","observation_id":"9904551a-eb18-4ba1-a05b-c219a7d8df5b","resolution":{"observed_at":"2026-08-14T11:31:34.635551Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.535946Z","title":"Górny, Existence of minimisers in the least gradient problem for general boundary data,Indiana Univ","venue":null,"work_id":"621d8a6e-9282-47df-9382-199b29d4d5c9","year":null},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.482726Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:c8a966704d34f91dab97751f161100a6cb125ab01c8dc8a3d354f25689522eef","observation_id":"7fc3f64a-1d21-4993-a3b9-47aef8cebdff","resolution":{"observed_at":"2026-08-14T11:31:34.545399Z","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":"1806.01921","last_updated":"2018-06-05T20:07:49Z","snapshot_observed_at":"2026-08-14T19:07:08.085975Z","submitted_at":"2018-06-05T20:07:49Z","title":"Least gradient problem with respect to a non-strictly convex norm","version":1},"cited_work":{"arxiv_id":"1806.01921","doi":null,"metadata_source":"pith","pith_arxiv_id":"1806.01921","snapshot_observed_at":"2026-08-14T11:31:33.782854Z","title":"Least gradient problem with respect to a non-strictly convex norm","venue":"math.AP","work_id":"3bc0465f-df68-445b-821f-4383b0354249","year":2018},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.500705Z"},"links":{"cited_paper":"/paper/1806.01921","citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:5987ae113f138040abfa5f78db553d6d44b611df024f6fc4a2e8405208b6dea1","observation_id":"2aa2c7d3-9344-4c30-8c4b-0769e4cac722","resolution":{"observed_at":"2026-08-14T11:31:33.793141Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.447465Z","title":"Górny, P","venue":null,"work_id":"96b5bae6-e64d-40e2-8deb-960d912a39a8","year":2017},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.521701Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:218c9faa0a20ecf0af671e2cd25c5cc42736dc6e2e99e1f7b60f129dbd3f395b","observation_id":"867c34d8-a9c9-496c-bcdc-9f7fef4e8b8d","resolution":{"observed_at":"2026-08-14T11:31:34.512262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.393093Z","title":"Kantorovich, On the transfer of masses,Dokl","venue":null,"work_id":"f4024a55-f1d4-41c4-af0d-3126e4651567","year":1942},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.530488Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:60c7710bd4eb1313471c0cdc26bd105200e7790788ec1ab8294d4763a66cf1c8","observation_id":"74a2b7d8-2268-4d3a-8a27-b2275077d0fe","resolution":{"observed_at":"2026-08-14T11:31:34.401604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.303144Z","title":"Mazón, J.D","venue":null,"work_id":"ee6a0b1d-c9d8-47e5-b29a-651f5d07af31","year":2014},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.539672Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:1b1bedd935182ca74e436a47734cafc4f748959d2aefec62e0f322d3960792a0","observation_id":"397995a9-6c3e-4c3d-ac53-83ce28e4171f","resolution":{"observed_at":"2026-08-14T11:31:34.312700Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.247059Z","title":"Monge, Mémoire sur la théorie des déblais et des remblais,Histoire de l’Académie Royale des Sciences de Paris (1781), 666–704","venue":null,"work_id":"5f58ada3-6d36-499e-bff1-321424b813c0","year":null},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.553309Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:0f4f6c91acaba9b755ca28dbf3dd2db7071dc2d2207cd9e094dfb9b9b2616aa0","observation_id":"d0f37ba8-8ad8-46fa-a3b3-8ac39f415567","resolution":{"observed_at":"2026-08-14T11:31:34.269291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.215850Z","title":"Moradif am, Existence and structure of minimizers of least gradient problems,Indiana Univ","venue":null,"work_id":"d2d6fe25-36d5-4b2d-814c-41d4fe97d084","year":2018},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.564031Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:13dfadc01b942b298017a2a4c82c8e3d992e621a0b03f155da51b2ab60b2790f","observation_id":"a857a0c7-bc3d-44fc-8da6-4f234e723512","resolution":{"observed_at":"2026-08-14T11:31:34.223607Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.165282Z","title":"Rybka and A","venue":null,"work_id":"39b3e0cc-ede0-4b13-9c75-4e6b965da503","year":2019},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.581674Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:6232f2359dc444a65688b43193b886f648ac33aa2a73878d41a3bfe4f6c54ab3","observation_id":"cabe77f3-c31c-4e88-92ba-0a5ad7717a65","resolution":{"observed_at":"2026-08-14T11:31:34.182982Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.107905Z","title":"Santambrogio, Absolute continuity and summability of transport densities: simpler proofs and new estimates, Calc","venue":null,"work_id":"0da091e9-1ee6-48e4-aa2e-e62781f77b04","year":2009},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.590835Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:fdd7b6ba7ca2aa5f2e95564603f44e79b9539c059f76913ed2daac33170be906","observation_id":"2a9869da-fc51-43c3-a3a2-fcb31feaf36b","resolution":{"observed_at":"2026-08-14T11:31:34.125700Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.028124Z","title":"Santambrogio,Optimal Transport for Applied Mathematicians, inProgress in Nonlinear Diﬀerential Equa- tions and Their Applications87, Birkhäuser, Basel, 2015","venue":null,"work_id":"9970e259-80cf-4490-b866-f09617bfeab1","year":2015},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.609248Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:b5792c7ee739a3bbcfb123a51021297c83404b21f9aa83d1de693810325dea2e","observation_id":"f6ce0713-1d19-469f-9b4e-72ffb427f164","resolution":{"observed_at":"2026-08-14T11:31:34.045374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:34.002887Z","title":null,"venue":null,"work_id":"ea7c16dd-e3fe-407d-93dd-c0f60e4ff3f6","year":2014},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.628267Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:72d275332d1cc9a6dfad8cbc74e73c3b87378167847e25e5bf52927ec3580175","observation_id":"ffe56192-d55d-44f8-9f92-b2f06a86193d","resolution":{"observed_at":"2026-08-14T11:31:34.009692Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:33.970064Z","title":"Sternberg, G","venue":null,"work_id":"a78963f3-2f38-43a2-87c9-4b2b33e1e091","year":1992},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.642899Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:1cbb5430d3d4025dff8db489da708eec4284f939cef60c6e7834a91baec586dc","observation_id":"4a307191-b740-4319-a495-1c2d26552e1d","resolution":{"observed_at":"2026-08-14T11:31:33.979018Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:33.930310Z","title":"Sternberg and W.P","venue":null,"work_id":"c5482274-9094-4d76-8c59-5de82ff0ed94","year":1993},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.650433Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:ba935ecb53b336c516597623926086760b4c6169bac05a619dd2b7a3dd2737a5","observation_id":"1f109adc-75bf-4b93-9660-c54a0d9469db","resolution":{"observed_at":"2026-08-14T11:31:33.940830Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:31:33.897712Z","title":"Villani, Topics in Optimal Transportation, Graduate Studies in Mathematics","venue":null,"work_id":"a61bf3b3-72bf-4be5-b994-aaccb4d14778","year":2003},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.663404Z"},"links":{"citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:021f362c6c589543e25a88f61cf46857eb34c580497048a0c068fa4b1bfd6a5f","observation_id":"85b1212a-494b-4ae0-998e-5d7b8568574c","resolution":{"observed_at":"2026-08-14T11:31:33.907348Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":2,"verified_fuzzy":21},"total_outbound_references":24},"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 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.09113."}