{"as_of":"2026-08-16T20:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:af41cab99deca4440abc082bfa67100ba08b5eb63b7271b893122ae3f62b7976","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:10:31.311119Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"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/1908.03894/citation-record","integrity":"/paper/1908.03894/integrity","json":"/paper/1908.03894/citation-record.json","paper":"/paper/1908.03894"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:10:31.944174Z","title":"Adams, J.J.F","venue":null,"work_id":"8a90a6f9-6f8c-420b-a49b-91bf9f1673b1","year":2003},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.143925Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:58a13b10fc64b4ce9cae72d30871db022289f0a1954febb00f040d7d4a1409db","observation_id":"7cb2e5e4-44b2-455d-ac5d-a53376803578","resolution":{"observed_at":"2026-08-14T14:10:31.951386Z","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":"2026-08-14T14:10:31.923637Z","title":"Apel : Anisotropic Finite Element: Local estimates and applications, Advances in Numerical Mathematics","venue":null,"work_id":"b50d63bc-6645-4859-924f-db485b25b8f5","year":1999},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.152531Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:83b5f572af770087f22f76c46ec512ea77a6705456e9a624fd374be05ab76a22","observation_id":"07953ece-db34-41ec-aee5-17cd5a1ff822","resolution":{"observed_at":"2026-08-14T14:10:31.929049Z","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":"2026-08-14T14:10:31.894420Z","title":"Atkinson: An Introduction to Numerical Analysis, 2nd edition, John Wiley & Sons, New York, 1989","venue":null,"work_id":"ae5a1257-edb3-4f64-a191-e9cff870c6c5","year":1989},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.158463Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:33070c05821bf4f9e7fc97b066c61d7429437ea12bfb9e1b8a22217576f1837d","observation_id":"f919298c-deb5-4250-9922-5677ed376247","resolution":{"observed_at":"2026-08-14T14:10:31.904224Z","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":"2026-08-14T14:10:31.866468Z","title":"Babuˇ ska, A.K","venue":null,"work_id":"effe4337-41a2-46dd-86ab-dc37b2c1e5f5","year":1976},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.164539Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:1e20a958446cb4c37480f075a52cdeaafd034c059ed22ed26bf9999645fbad2d","observation_id":"3c4109ba-821f-4f65-aa88-913ccda688db","resolution":{"observed_at":"2026-08-14T14:10:31.876871Z","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":"2026-08-14T14:10:31.844045Z","title":"Barnhill, J.A","venue":null,"work_id":"cb3d3444-9e29-4484-8709-faed111c50ba","year":1976},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.171506Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:88b6da5f0dda5ffb3c9688d427cb9b72c2ff3110f2d0350f7ac33fa016861143","observation_id":"baab71c5-8d84-4cd0-bafc-a42f6b5ff7ee","resolution":{"observed_at":"2026-08-14T14:10:31.850462Z","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":"2026-08-14T14:10:31.825006Z","title":"Brenner, L.R","venue":null,"work_id":"65f712b6-a849-4f4c-9468-891936365bb8","year":2008},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.178318Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:bd5fed8065771f3901cea5d6d52b7ecd17783e579034399293d10617489f24d6","observation_id":"39963934-cda8-416c-8188-8df4bbc1eb27","resolution":{"observed_at":"2026-08-14T14:10:31.830582Z","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":"2026-08-14T14:10:31.805026Z","title":"Brezis: Functional Analysis, Sobolev Spaces and Partial Differential Equations","venue":null,"work_id":"3efb1904-e931-4a47-b931-032c4a89eea1","year":2011},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.185071Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:b096ff7ba6e113666624a500d9fc71e7a1e5fe73c6978108247fa0999da88eda","observation_id":"e303db8b-dcfd-4ae4-9277-e74c9b64ab77","resolution":{"observed_at":"2026-08-14T14:10:31.812648Z","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":"2026-08-14T14:10:31.781394Z","title":"Ciarlet: The Finite Element Methods for Elliptic Problems","venue":null,"work_id":"30277446-7173-4015-a70d-ecfa6f167401","year":2002},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.191593Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:93756e6c23d09d67f20c32cad6dcd433b74eb623a50458db9d253cde4e150822","observation_id":"f404df5e-590b-4c6a-a96c-8011bd1bba3b","resolution":{"observed_at":"2026-08-14T14:10:31.787770Z","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":"2026-08-14T14:10:31.761091Z","title":"Brandts, S","venue":null,"work_id":"1cdc416f-ff8d-416d-b211-4380eea78cd2","year":2008},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.197923Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:26bd984097e59aafa5743b0931cdf72c2530754d0b6cfe468970c7f352198a9b","observation_id":"ef0b97fd-a9f6-45ac-a441-f148556b9fb8","resolution":{"observed_at":"2026-08-14T14:10:31.766312Z","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":"2026-08-14T14:10:31.744229Z","title":"Ern, J-L","venue":null,"work_id":"0dfa1946-ffba-4777-ac46-c24582ad688b","year":2004},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.202996Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:3eb3b88c9fffcb448ad8bdcab810cf31d0e32284f240a03f10f78eb2de0653b5","observation_id":"5d8c7c37-139c-4099-b471-aab3468aa6cb","resolution":{"observed_at":"2026-08-14T14:10:31.749156Z","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":"2026-08-14T14:10:31.724961Z","title":"Hannukainen, S","venue":null,"work_id":"3bc26924-24f1-480a-ad32-92921865056f","year":2012},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.209998Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:6365d9fc0eef006ca0c70e3dee0dd4c5d3ba2ab7e521095841b69d52917b482e","observation_id":"f44d6531-709d-4103-899b-2ab95a7e5f89","resolution":{"observed_at":"2026-08-14T14:10:31.731542Z","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":"2026-08-14T14:10:31.705354Z","title":"Horn, C.R","venue":null,"work_id":"5d8ab904-cddb-4d5c-87bd-a9fed56b6a81","year":1991},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.216791Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:a82c362a19bdbab287f09cd98fad36ccf1e955365ab90f800d33502cf061a86d","observation_id":"233d3ab9-d03f-4acd-9db4-c2db2a9432e8","resolution":{"observed_at":"2026-08-14T14:10:31.711511Z","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":"2026-08-14T14:10:31.683395Z","title":"Jamet : Estimations d’erreur pour des elements finis droits presque degeneres","venue":null,"work_id":"dbb8f07d-c791-4e72-8d31-6660968e94a3","year":1976},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.223163Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:d4ae231e98d56fa53548da5c214e9c61c180ea960e620f43809b95ce9ff08179","observation_id":"288677d5-bdae-4c08-9330-f8a78715cf54","resolution":{"observed_at":"2026-08-14T14:10:31.689316Z","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":"2026-08-14T14:10:31.665895Z","title":"Kobayashi : On the interpolation constants over triangular elements (in Japanese), RIMS Kokyuroku, 1733 (2011), 58-77","venue":null,"work_id":"e09c0ee3-ccd8-43d6-883f-0b206366e033","year":2011},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.229162Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:725de4b9667377484e0efbda4b4b6e425390da9d7d1d92ed39dd12b423b32f55","observation_id":"ef42da0a-3bfc-4e43-9645-5493d3ffbfdc","resolution":{"observed_at":"2026-08-14T14:10:31.671398Z","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":"2026-08-14T14:10:31.645897Z","title":"Kobayashi, T","venue":null,"work_id":"9b146ed8-7456-44c3-b54a-bb9dab07c434","year":2014},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.235438Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:17f8699e771191bba50f2f6dd1861b14ef0b43b928db55f8f3b6d170f60909ca","observation_id":"111cdf2c-8254-4395-989b-cd4b0f8481d7","resolution":{"observed_at":"2026-08-14T14:10:31.652412Z","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":"2026-08-14T14:10:31.623693Z","title":"Kobayashi, T","venue":null,"work_id":"1f87b4d1-6a0b-4c7b-9d53-5a21ecc440b8","year":2015},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.241888Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:ae71cd4f7c27365bd4e41162e22295e4277bbc19c411fc128503913221fa2845","observation_id":"fd5f5afa-de20-46c0-8389-da65e9c4b14a","resolution":{"observed_at":"2026-08-14T14:10:31.629677Z","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":"2026-08-14T14:10:31.598825Z","title":"Kobayashi, T","venue":null,"work_id":"482dd57a-a545-47fb-bf59-7821f3f9e495","year":2015},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.247099Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:d14f58aa54b0aeabe543b4faa4aa980f04f80a18415586d205ed92f7a9ef1d0d","observation_id":"a97c03ea-3350-4755-bfa0-49692c9f7fec","resolution":{"observed_at":"2026-08-14T14:10:31.606726Z","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":"2026-08-14T14:10:31.579286Z","title":"Math., Praha 61 (2016), 121–133","venue":null,"work_id":"fdb5fe98-b44f-4e77-b032-450147b34af2","year":2016},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.253205Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:e3e9a737e26c90ee8512653cedb0dfe0432b2752e8856711c64e0dcf8efcc339","observation_id":"8ae0d9cb-9640-460e-9ca9-de4fd2cc0d8f","resolution":{"observed_at":"2026-08-14T14:10:31.585366Z","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":"2026-08-14T14:10:31.558545Z","title":"Kˇ r´ ıˇ zek: On semiregular families of triangulations and linear interpolation","venue":null,"work_id":"a22f9b04-7a23-4d00-bb66-373648398ca7","year":1991},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.258431Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:21cce19fd7870aeaaba52487177e41ce7a90412db7dfb7482aa7ecd7893919ae","observation_id":"7f321476-60c9-4beb-8d56-b7a27d02dd92","resolution":{"observed_at":"2026-08-14T14:10:31.566731Z","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":"2026-08-14T14:10:31.539503Z","title":"Kˇ r´ ıˇ zek: On the maximum angle condition for linear tetrahedral elements","venue":null,"work_id":"81b344bb-10bf-4d0b-8233-72f6e407ab18","year":1992},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.263718Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:8a12489101cbbdbf969bd5989b9ab83ec1a2dcd35c1b5c5207d8945c9c15bf3c","observation_id":"7ba0fa28-364c-456f-bdee-2a1fdc06b67b","resolution":{"observed_at":"2026-08-14T14:10:31.544951Z","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":"2026-08-14T14:10:31.520676Z","title":"Kufner, O","venue":null,"work_id":"c88e0ad7-8f83-46b6-b98a-62b218c2ebb5","year":1977},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.268361Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:805c4ecc8425b04b88cd126c604080829c173fabe4112528836bf7d8fa3761b5","observation_id":"6c2d411c-998a-4e56-9252-a9f3fb499c30","resolution":{"observed_at":"2026-08-14T14:10:31.526488Z","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":"2026-08-14T14:10:31.495715Z","title":null,"venue":null,"work_id":"a52fd089-398c-4d6f-8997-70c5e4545b93","year":2010},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.274395Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:427930b356f32153e9f660a7dc8b3c79caeb8052271e02b3cb3a8961c50e69b5","observation_id":"f1b602f4-46d0-4fe3-9f66-3c45bf8c91ee","resolution":{"observed_at":"2026-08-14T14:10:31.502121Z","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":"2026-08-14T14:10:31.473985Z","title":"Oswald : Divergence of fem: Babuˇ ska-Aziz triangulations revisited, Appl","venue":null,"work_id":"ee5b5e36-c9b1-4254-b741-b42a9f40829c","year":2015},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.281306Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:f4537c89a4d7ae2d17759e54da6e1a99057c9e5df335514da1f5eaf1c81bc13b","observation_id":"8fc7a495-56b9-46db-ba8a-10717cc00a99","resolution":{"observed_at":"2026-08-14T14:10:31.480861Z","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":"2026-08-14T14:10:31.451769Z","title":"Shenk : Uniform error estimates for certain narrow Lagrange finite elements","venue":null,"work_id":"a8ee00d8-95af-490d-a152-cf086194f386","year":1994},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.287883Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:d59d7778e28666d51a8e63cc686a61930c01f98ff0b3eb922b29d27f8a71e76d","observation_id":"aaed4414-d990-4ce3-987a-d73423bdb765","resolution":{"observed_at":"2026-08-14T14:10:31.458764Z","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":"2026-08-14T14:10:31.428777Z","title":"Yamamoto : Introduction to Numerical Analysis, 2nd edition, (In Japanese), Saiensu-sha, 2003","venue":null,"work_id":"6aca9926-b281-4b7c-9cbc-b0a235d02c87","year":2003},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.292821Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:a271e4eb014bcb4985a922c0504d7abd64ef232b8f97647fcf06530ae06ec7e6","observation_id":"162e048a-2aa9-48b7-aba8-13dfcec4ced5","resolution":{"observed_at":"2026-08-14T14:10:31.436353Z","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":"2026-08-14T14:10:31.400985Z","title":"Yamamoto: Elements of Matrix Analysis (in Japanese), Saiensu-sha, 2010","venue":null,"work_id":"b128cd0d-5e6d-489b-b667-7a04725e2dc0","year":2010},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.298720Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:c5128b0790e94ca1193a59b4a6974e4786bb38fd309abf7a22e7fbe34b2d20cc","observation_id":"a2a0efc8-f157-4fc3-8e23-c18328f5ba0d","resolution":{"observed_at":"2026-08-14T14:10:31.411521Z","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":"2026-08-14T14:10:31.380984Z","title":"ˇZen´ ıˇ sek: The convergence of the finite element method for boundary value prob- lems of a system of elliptic equations","venue":null,"work_id":"1d17a227-d57b-403e-b9ea-c2bfe926f79a","year":1969},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.304078Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:6bc4e1112707113e515203637b01953398f9ab82ccc52cd88c25d3446bc018b9","observation_id":"d612d7ab-8719-4e13-bb1d-5eec592c45b9","resolution":{"observed_at":"2026-08-14T14:10:31.387527Z","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":"2026-08-14T14:10:31.355001Z","title":"Zl´ amal: On the finite element method, Numer","venue":null,"work_id":"21ae372a-3d3e-4090-8d19-76d22cf99d33","year":1968},"citing_paper":{"arxiv_id":"1908.03894","last_updated":"2022-02-02T09:54:18Z","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:31.311119Z"},"links":{"citing_paper":"/paper/1908.03894"},"observation_digest":"sha256:cdfd7d0d95842a0afdbdbde64e488c610ece82f21d396f29bde70b77e75a013a","observation_id":"3d79e8d6-f374-45fa-9474-ecf3e2da6628","resolution":{"observed_at":"2026-08-14T14:10:31.366065Z","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":"1908.03894","last_updated":"2022-02-02T09:54:18Z","latest_version":3,"primary_category":"math.NA","snapshot_observed_at":"2026-08-15T17:08:48.659267Z","submitted_at":"2019-08-11T12:34:57Z","title":"Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":27},"total_outbound_references":28},"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 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.03894."}