{"as_of":"2026-08-16T10:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4f686466441dde7cf5b4f758e4045bff252274f687f0060c3b77f55018818eca","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:54:47.748569Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"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/1908.08235/citation-record","integrity":"/paper/1908.08235/integrity","json":"/paper/1908.08235/citation-record.json","paper":"/paper/1908.08235"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jfa.2005.05.003","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.937632Z","title":"Arnold and J","venue":null,"work_id":"3b7b23f2-dc9f-46f4-96f9-0175c8eab4b9","year":2005},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.668340Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:10730d61003ca854075568b31f458655df720ec0a6328b1d2445a78cd21a125f","observation_id":"f24c547c-b762-4e17-bdbf-f168ee5a25ea","resolution":{"observed_at":"2026-08-14T11:54:47.941286Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.672704Z","title":"Bakry and M","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.672704Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:c581bbeca564ea63666306339440a4f192f9e4cd5186b7df1a1c549437c1e588","observation_id":"7b6fda5f-597b-4039-aa0b-50a9d2536392","resolution":{"observed_at":"2026-08-14T11:54:47.672704Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.990252Z","title":"Bakry and M","venue":null,"work_id":"95b89663-5aba-4dc6-a8bd-904a861a59c9","year":1985},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.677274Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:54908777af5ef5199b2c773953256c36ca4c9038dfcf36fe278c9f000d1023b4","observation_id":"123d2241-ac84-44c0-9810-230781f0dc13","resolution":{"observed_at":"2026-08-14T11:54:47.993487Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.680841Z","title":"Bakry, I","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.680841Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:3cf82223de5a972b4d86c95de94c261dbe70fcab8b74e51077bc33ba853171e4","observation_id":"e6b86f78-ca94-4d78-877f-9be919843bc2","resolution":{"observed_at":"2026-08-14T11:54:47.680841Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.980265Z","title":null,"venue":null,"work_id":"c49e8fa6-62ad-4519-b6aa-a31364f0266c","year":1993},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.684871Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:3804ada783c3ec739eb6ef57469e8d3c58d0aefaffcd1312c41795a5d3e5c69c","observation_id":"f8959895-0cf5-4024-a158-93fcfd358120","resolution":{"observed_at":"2026-08-14T11:54:47.983700Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.688713Z","title":"Bianchi and H","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.688713Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:af017aac1dd685aae06aaef507fa927d24d4cbe7d18c6765b2c31989231bb1ae","observation_id":"7ebf3cab-4a10-4a6a-8951-37376a992030","resolution":{"observed_at":"2026-08-14T11:54:47.688713Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01243922","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.907322Z","title":"Bidaut-Véron and L","venue":null,"work_id":"23dc52a2-9b84-450d-bb66-570f557505aa","year":1991},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.692867Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:b237627cf32ddc3c1dfdb4216fef52ddfc8cbb6d92f3987189fb833452b75565","observation_id":"e29425b3-f866-495d-b17d-9a90ad21abc2","resolution":{"observed_at":"2026-08-14T11:54:47.910938Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/s0036141001398435","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.897232Z","title":null,"venue":null,"work_id":"0fb5db24-c643-4d50-b1e9-7afad0d4a6ea","year":2002},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.696631Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:b1f56ac629fae303d0e5a5e43ad82e3e771c7c29dd4b66f1b04b84c152db6ee2","observation_id":"f252d355-a143-4afd-aaac-0b541dcdb340","resolution":{"observed_at":"2026-08-14T11:54:47.900667Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.969790Z","title":null,"venue":null,"work_id":"2af477ac-0c15-4a47-bb5a-805308d16979","year":2008},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.700861Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:1105db3ec9a57b5ad83716e3365c86f6b8e2cef5450ed60022e0a7f2d9a42873","observation_id":"015922e7-5bdd-4c16-9cc4-a69ed42d770c","resolution":{"observed_at":"2026-08-14T11:54:47.973388Z","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":"2026-08-14T11:54:47.959457Z","title":"Dolbeault and X","venue":null,"work_id":"92427afb-4139-4880-9ce2-c9c57cbdc7f2","year":2018},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.704439Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:3063a3f94aba826a53b513611c650b69c6a677da1feea88b816059677210ef76","observation_id":"5a921c4d-ff81-42f6-a415-136d6c382a3c","resolution":{"observed_at":"2026-08-14T11:54:47.963157Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/imrn/rnv131","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.887287Z","title":"Dolbeault and G","venue":null,"work_id":"473a0a18-09e3-4ee7-9cf5-aef5f49b4486","year":2016},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.708010Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:2f06c8efa1468f09f56586f3b1c2391d96dd4f3b05ee6db2e49670e3b33b3e53","observation_id":"88c60b81-92e9-4980-b1c1-daf4deeb0446","resolution":{"observed_at":"2026-08-14T11:54:47.890869Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11401-012-0756-6","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.878243Z","title":"Dolbeault, M","venue":null,"work_id":"db881f0b-e2c8-4f7a-8495-888ee0b753c8","year":2013},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.711613Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:b4b00d25428db04f91a456898568d7cb596ce668829b8be449ee08e8e6940218","observation_id":"a7a98500-b9f0-4f09-a2e5-af26b66af46c","resolution":{"observed_at":"2026-08-14T11:54:47.881283Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.crma.2013.06.014","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.869093Z","title":"Dolbeault, M","venue":null,"work_id":"6dd4346a-5b77-40b8-b74e-56a0bc4505e5","year":2013},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.715116Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:c45025d9971cea2e438ffc812c9f3a8b17085e564fac2b8f3b2ea713990d54e4","observation_id":"a486cfe4-f022-4657-ad4d-ea120e260b65","resolution":{"observed_at":"2026-08-14T11:54:47.871949Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3934/dcdss.2014.7.695","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.859772Z","title":"Dolbeault, M","venue":null,"work_id":"370b7140-2eaf-479f-800f-b84476cb9c27","year":2014},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.718807Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:6801cec45df9da0220919e5df684b0d5a2111788b9ad7d9081b9d9c917461c67","observation_id":"38443f2a-e18d-4a89-ae63-3bd701b9c1b1","resolution":{"observed_at":"2026-08-14T11:54:47.863170Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/apde.2014.7.435","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.848067Z","title":"Dolbeault, M","venue":null,"work_id":"634e8968-9d1a-4d7d-85d6-ff0e1e55b946","year":2014},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.722416Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:7a988f8f087a7fb539f10c6055ec6dca57c2a894af7364f5bc5bc4d481771780","observation_id":"1b0eac86-f6df-49ab-9bf9-bbc6dc888c91","resolution":{"observed_at":"2026-08-14T11:54:47.852526Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jfa.2014.05.021","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.834846Z","title":"Dolbeault, M","venue":null,"work_id":"a16ecd7f-d14a-46cc-9668-3b5529350e16","year":2014},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.725853Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:1fe45a3e37012e39920295f8c2b66f83d58086360cf463b4c4162439d212fe1d","observation_id":"33c1ef9e-5c87-4c64-9704-b8214c3cf362","resolution":{"observed_at":"2026-08-14T11:54:47.838899Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf03377405","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.823128Z","title":"Dolbeault, M","venue":null,"work_id":"91f4691c-370f-4984-9c15-b6414e34be14","year":2016},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.730069Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:fcf1da841cc295ab76c80026b2a7689b6f0f00ec67600fb4b08b8e6d211a5b74","observation_id":"a0302787-4ed8-4369-b49e-529570f28854","resolution":{"observed_at":"2026-08-14T11:54:47.826961Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.948416Z","title":"Dolbeault, M","venue":null,"work_id":"92c3b27d-edf0-4713-96ef-b78af6b0dde1","year":null},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.733665Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:f0b1a58a3dd8bdbe67a5a700da493559f955a6e56017d4a7bbd01f8c891cccee","observation_id":"02db1897-3d03-4016-aac1-320dae310491","resolution":{"observed_at":"2026-08-14T11:54:47.952274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.crma.2017.01.004","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.799105Z","title":"Dolbeault, M","venue":null,"work_id":"29e08062-4c85-43e6-96f5-9d9eb7537af4","year":2017},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.741328Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:96678cc0761dd3b660efd8c311869e58de319d1f1805b03fb574ce8f9defa495","observation_id":"842d6eca-0b0f-4566-a0ca-3f1c0f84c943","resolution":{"observed_at":"2026-08-14T11:54:47.803421Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/0022-1236(82)90069-6","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.787076Z","title":null,"venue":null,"work_id":"bd4133a2-9f25-4bd7-91c6-e5c57c15fe56","year":1982},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.744909Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:32d311eddcc4f82930edbec5d9626f042c0c65c7d2d0c243d1133fa4961cd5e4","observation_id":"0a25d2e8-5905-4da9-bf3e-df58d24425c9","resolution":{"observed_at":"2026-08-14T11:54:47.790993Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s006050070013","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.774283Z","title":"Unterreiter, A","venue":null,"work_id":"d3ca44de-cee5-4080-92ea-b46f64251ff4","year":2000},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.748569Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:950c451b175578fc97f20d4c2ee530f198f85704f98d57f2489e8572cacc90ab","observation_id":"60d7b490-defb-485f-b179-0092d0d777dc","resolution":{"observed_at":"2026-08-14T11:54:47.778924Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5802/afst.1536","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:47.811110Z","title":null,"venue":null,"work_id":"31863f16-952b-4a96-9ccd-30113a38db9c","year":null},"citing_paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:47.737448Z"},"links":{"citing_paper":"/paper/1908.08235"},"observation_digest":"sha256:2337903fe9787c65ab0653a63356ff9873442416962f992084e710aba53b5748","observation_id":"0b305609-799c-4e9f-bfe8-8ce778d40256","resolution":{"observed_at":"2026-08-14T11:54:47.814989Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.08235","last_updated":"2019-08-22T07:22:54Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-14T11:43:16.490272Z","submitted_at":"2019-08-22T07:22:54Z","title":"Improved interpolation inequalities and stability"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":14,"verified_fuzzy":2},"total_outbound_references":22},"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 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.08235."}