{"as_of":"2026-08-17T03:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:27820bf1f3a792d5e0fd5f869bee4a5ba339cd9077d3ef874f82e7eacc916743","coverage":[{"denominator":46,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":46,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:54:03.627692Z","state":"measured"},{"denominator":46,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":46,"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/1908.08158/citation-record","integrity":"/paper/1908.08158/integrity","json":"/paper/1908.08158/citation-record.json","paper":"/paper/1908.08158"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:54:04.626730Z","title":"Each H 1/2- stable projection yields convergence and quasi-optimality of adapt ive FEM with inhomogeneous Dirichlet data in Rd","venue":null,"work_id":"1c1a7248-06c2-475e-99ed-94feaa3d38d4","year":2013},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.387249Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:ff26c7f785364c43142c0d29632367ea95de7787c5fd821ae67663064992b157","observation_id":"e9316544-3279-4912-bcb1-f46e81a108b9","resolution":{"observed_at":"2026-08-14T11:54:04.631698Z","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":"2026-08-14T11:54:04.612103Z","title":"The h-p version of the finite element method with quasi-uniform meshes","venue":null,"work_id":"fe198f55-b0c4-43ed-9186-349e5837adf4","year":1987},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.392912Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:96307d6b8b34e2fcb69c6460fea0cdaaafe28abd4b6c0504fad2b1b1f6da4b6e","observation_id":"38e13529-42fe-455a-bc54-869d0f8f9f3f","resolution":{"observed_at":"2026-08-14T11:54:04.616751Z","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":"2026-08-14T11:54:04.597550Z","title":"Local flux reconstructions for standard finite element methods on triangular meshes","venue":null,"work_id":"80d93f20-c171-4f0c-833a-1083c77d9b60","year":2016},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.398212Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:6e141a70275bcee63a82773faa941ca981d1b1c97d370b4664ba56bcecd8aeca","observation_id":"12614d43-48e5-4ad3-8ca8-1e4361432033","resolution":{"observed_at":"2026-08-14T11:54:04.602103Z","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":"2026-08-14T11:54:04.582240Z","title":"A local regularization operator for triangular and quadrilateral finite elements","venue":null,"work_id":"f84a9539-c01f-4060-9fa8-1ae1c74fd52c","year":1998},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.404391Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:23920b3c2d73bb99edcfdd15fdf7f56314ee92876f825db169d31c1982646867","observation_id":"2ac82f4e-e4c9-4824-b907-f5991702431e","resolution":{"observed_at":"2026-08-14T11:54:04.587177Z","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":"2026-08-14T11:54:04.567122Z","title":"Quelques propri´ et´ es d’approximation des ´ el´ ements finis de N´ed´ elec, application ` a l’analyse a posteriori","venue":null,"work_id":"8a3b9b38-c5fe-4d4e-bbf5-099bc999713b","year":2007},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.409550Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:3111337ff5d2b5d68c5e3e09713340c513a7ce038feeeaf2d7a20bee7bb96ad3","observation_id":"02328406-d645-4d1b-97d9-ee6a75578a5a","resolution":{"observed_at":"2026-08-14T11:54:04.572131Z","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":"2026-08-14T11:54:04.551335Z","title":"A new H(div)-conforming p-interpolation operator in two dimen- sions","venue":null,"work_id":"82463372-f44b-4bcc-a236-3630eef89fd5","year":2011},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.414753Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:9674e85c6a06aff50586cf68ed79abcef72b730cfb4145aebde1a3e7164d92a2","observation_id":"5698ede9-3737-4dba-977b-da563c05cebc","resolution":{"observed_at":"2026-08-14T11:54:04.556751Z","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":"2026-08-14T11:54:04.537124Z","title":"Mixed finite element methods and applications , vol","venue":null,"work_id":"729890f2-f371-4d69-8231-a37ec2f04e57","year":2013},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.420110Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:644f27ea5ddbd6351f8022b1a49ead87927b6e9960dad73878450562f762c6f3","observation_id":"9922dbea-544f-4787-b1f5-62a95a3b9995","resolution":{"observed_at":"2026-08-14T11:54:04.541477Z","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":"2026-08-14T11:54:04.522248Z","title":"Equilibrated residual error estimates are p-robust","venue":null,"work_id":"5295ae6b-fba9-45b8-8a77-2e92f9fda4f3","year":2009},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.424294Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:ad5f64d37250ed44440b7ec917dd3376b49b5ce1766a6942be02848c3bcaa406","observation_id":"84485b1b-6df7-4acf-9c67-514c88e228d5","resolution":{"observed_at":"2026-08-14T11:54:04.527082Z","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":"2026-08-14T11:54:04.506434Z","title":"Equilibrated residual error estimator for edge elements","venue":null,"work_id":"cd92bb48-30a9-4e8e-9c67-cb5af9bc0cac","year":2008},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.428550Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:e43ed41b8ce62f577b28a5efdd7d5a3ff51f0ec8a75ff6621d6c7e0cf09d21f3","observation_id":"13d931d6-a655-4e77-94c2-9babcc8ef72b","resolution":{"observed_at":"2026-08-14T11:54:04.511902Z","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":"2026-08-14T11:54:04.491676Z","title":"Optimal error estimate for the div least-squares method with data f ∈L2 and application to nonlinear problems","venue":null,"work_id":"ddd564b9-e620-485e-9bc8-a2f52dd62beb","year":2010},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.433203Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:5076e85b4dd89c4cadc3b576ba0e16f09c065dfc659813a4ccee7c05fce96969","observation_id":"939379e7-528c-4b32-a21f-ab8a7509edca","resolution":{"observed_at":"2026-08-14T11:54:04.496878Z","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":"2026-08-14T11:54:04.475899Z","title":"H., Stevenson, R., and Verani, M","venue":null,"work_id":"d3692658-f02b-4625-a5a9-cbca1a291359","year":2017},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.437671Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:6cf7129cf4f34edeecabdaa6813242f5ed62a5609719e44b62e676bc4deede86","observation_id":"63d95496-5cfb-41b6-8abb-cb38a6027698","resolution":{"observed_at":"2026-08-14T11:54:04.481417Z","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":"2026-08-14T11:54:04.460082Z","title":"Comparison results of finite element methods for the Poisson model problem","venue":null,"work_id":"c7fd568c-a01a-48d8-b6e1-f9e0fca69c1a","year":2012},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.443163Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:48d2435106b2b37ad801df0a1eedf0b96b3399f2044e572b53fe2a4217d3d6d5","observation_id":"75982ccc-1efd-48a4-b932-9a71d7360920","resolution":{"observed_at":"2026-08-14T11:54:04.465540Z","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":"2026-08-14T11:54:04.444921Z","title":"Medius analysis and comparison results for first-order finite element methods in linear elasticity","venue":null,"work_id":"b41fe9e7-82d4-440d-a964-473829cfd3c4","year":2015},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.447522Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:ef30841ff86b98ef626d815a2680b970a48f9ccbc4579b6b370dec92bf9a7c5e","observation_id":"9522d15f-a8b6-4365-8afa-4946068da61e","resolution":{"observed_at":"2026-08-14T11:54:04.449991Z","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":"2026-08-14T11:54:04.428419Z","title":"H., and Winther, R","venue":null,"work_id":"9274b6a4-45b0-453e-a221-109afdb126f4","year":2008},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.452098Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:997dd83ba72d6ade3b64b423b5ce8d11cb99df0099d44d928f77e4067d6e3a5b","observation_id":"72925b4e-96ac-4615-9db7-b2ff1e83d3dc","resolution":{"observed_at":"2026-08-14T11:54:04.433880Z","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":"2026-08-14T11:54:04.408974Z","title":"Approximation by finite element functions using local regularization","venue":null,"work_id":"86d9cf65-e56e-41ef-8f03-2e7d5633e248","year":1975},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.456207Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:94c795ad83146482c0a9497755edb1c6c1a99cb706c05bd61165631217ce2296","observation_id":"597535c9-1811-41ee-9a8c-bcc42ce873dd","resolution":{"observed_at":"2026-08-14T11:54:04.414180Z","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":"2026-08-14T11:54:04.392757Z","title":"On Bogovski ˘ ı and regularized Poincar´ e integral operators for de Rham complexes on Lipschitz domains","venue":null,"work_id":"f6cfa6e0-0d05-420a-89c8-18847d283d88","year":2010},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.460124Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:2fef800e1dc2564d80c788267049ab232b574044740c88221cea8529800a5ebf","observation_id":"0bb50ae3-8436-4715-9f9b-a7364e3ac291","resolution":{"observed_at":"2026-08-14T11:54:04.397481Z","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":"2026-08-14T11:54:04.377581Z","title":"Polynomial exact sequences and projection-based interpolation w ith application to Maxwell equations","venue":null,"work_id":"48eb7f1a-2176-4c28-9431-69ad411ea11e","year":1939},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.464088Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:193014901fb3202474bce9dc0c5d59bfce7a0e2731ddb20602d83df3fbe6bf08","observation_id":"5a22e4a0-0b4c-4efd-8ebf-28ee56a06672","resolution":{"observed_at":"2026-08-14T11:54:04.382243Z","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":"2026-08-14T11:54:04.362512Z","title":"H 1, H(curl) and H(div)-conforming projection-based interpo- lation in three dimensions","venue":null,"work_id":"c4e93bf9-bfee-42cc-8254-d237c13ec474","year":2005},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.468877Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:82d51868879061a74e6991f4a9ab212b78d2e87fcd870248945148eb358bb97e","observation_id":"22c82552-4c20-4503-82e0-e5f6cb7e1c00","resolution":{"observed_at":"2026-08-14T11:54:04.367290Z","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":"2026-08-14T11:54:04.347028Z","title":"Polynomial extension operators","venue":null,"work_id":"7ea5b9f8-14a3-47e5-a068-313df85e3828","year":2008},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.473960Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:a441e385d4a508f8af2d765e2dd8ae728cf00b947b2e2d700fe084f82512dfd4","observation_id":"4f8d5d55-f1b5-472b-aae7-2c5d69886635","resolution":{"observed_at":"2026-08-14T11:54:04.351927Z","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":"2026-08-14T11:54:04.330016Z","title":"Polynomial extension operators","venue":null,"work_id":"51d37ae4-9c9b-4af2-8f65-0b1bede8e54f","year":2009},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.479432Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:63f36e4708e658357dfcf48e94c17a1f6a7321351d2052a567df1f5d2974319c","observation_id":"154d2683-5b19-4c77-b4c3-e7003722c546","resolution":{"observed_at":"2026-08-14T11:54:04.335701Z","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":"2026-08-14T11:54:04.313689Z","title":"Polynomial extension operators","venue":null,"work_id":"909b307b-db6d-46f6-937a-b00d16339121","year":2012},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.485583Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:186e5ecb7d70a284fbb7a7e696b575d459e3a734dba5c9db19d10abfa9d8e50e","observation_id":"0acc5a62-8cf9-4dbd-979a-1e1d55029caf","resolution":{"observed_at":"2026-08-14T11:54:04.318933Z","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":"2026-08-14T11:54:04.296738Z","title":"Explicit error bounds in a conforming finite element method","venue":null,"work_id":"99b844c8-0d3f-4c2f-ab65-71c68ff26a83","year":1999},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.492957Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:2c15560e4cde55d380603dec719ad6384c3224bd738467703c2f9588bf8bb9e1","observation_id":"59de8d5f-716b-4a29-ad76-205ceb7e7251","resolution":{"observed_at":"2026-08-14T11:54:04.302926Z","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":"2026-08-14T11:54:04.282308Z","title":"hp-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems","venue":null,"work_id":"06743a46-2345-455c-9776-507ad46cbde3","year":2016},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.498087Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:afffd37e5bdc294e00493fb5135cdc8b149869928fb3de4217db28e1367598de","observation_id":"f7919c50-cffc-4939-8605-03265a92d6bd","resolution":{"observed_at":"2026-08-14T11:54:04.286946Z","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":"2026-08-14T11:54:04.267102Z","title":"Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes","venue":null,"work_id":"0d131601-f873-4eb2-b8ee-24df2ed5319d","year":2016},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.503091Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:23d60da80e3578a0643f4ddf542c9ced60b9f285756a6f88d9a3ec66e02a9309","observation_id":"486dca07-c2a7-4675-acae-72da23dbc1f2","resolution":{"observed_at":"2026-08-14T11:54:04.271681Z","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":"2026-08-14T11:54:04.251675Z","title":"Finite element quasi-interpolation and best approximation","venue":null,"work_id":"57a68568-caa3-46b6-9e39-d3b9386ec5b3","year":2017},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.507963Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:c399780986ab981b77b8684c8b7d6cc735baa583c545520fc5ba9aabf227a4b8","observation_id":"ba34c3b1-1e94-45ff-b532-31399a179eeb","resolution":{"observed_at":"2026-08-14T11:54:04.256564Z","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":"2026-08-14T11:54:04.226021Z","title":"Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and minimal regularity","venue":null,"work_id":"f409aece-7e30-4f15-a12a-eb44925cea1a","year":2018},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.512881Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:600f6613be6a468ac2f4147b487ad04b19e6c478829e552d9f219d30a718901f","observation_id":"dceef9d3-b8de-4716-86ea-449406a6b70d","resolution":{"observed_at":"2026-08-14T11:54:04.231157Z","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":"2026-08-14T11:54:04.209544Z","title":"Discrete p-robust H(div)-liftings and a posteriori estimates for elliptic problems with H −1 source terms","venue":null,"work_id":"3361ec4b-5be4-468f-b9da-51234adca494","year":2017},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.518240Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:efaf9204908c7c26967a72724788450c3baecca7f132f83f8c9df95bac7ce951","observation_id":"d113165e-113b-4e6f-8221-11d659d7411f","resolution":{"observed_at":"2026-08-14T11:54:04.214578Z","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":"2026-08-14T11:54:04.193370Z","title":"Adaptive inexact Newton methods with a posteriori stopping criter ia for nonlinear diffusion PDEs","venue":null,"work_id":"0a8e2d4d-8bed-42e8-9956-efb1e9937160","year":2013},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.522319Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:74ef9065c0c4f90b9b85850f49a42c7bc34273ebbc1bc479c9f8ce12dbb0966a","observation_id":"20262c7d-86be-46d1-bbf8-1538df5b40e2","resolution":{"observed_at":"2026-08-14T11:54:04.198812Z","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":"2026-08-14T11:54:04.177690Z","title":"Polynomial-degree-robust a posteriori estimates in a unified settin g for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations","venue":null,"work_id":"a32c0d79-6275-4f01-8170-45042045a21a","year":2015},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.526885Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:4be2d441ebe0b094370fe5051cbe207bee3b1926e22cd9a1674281c664e9d1f0","observation_id":"c2cb51bc-f246-4945-bb7c-d46e69e8d30d","resolution":{"observed_at":"2026-08-14T11:54:04.183010Z","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":"2026-08-14T11:54:04.154319Z","title":"Stable broken H 1 and H(div) polynomial extensions for polynomial- degree-robust potential and flux reconstruction in three space dimensions","venue":null,"work_id":"647fb774-6ae0-4406-9d13-af85315b1957","year":2020},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.531342Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:c66e87fdae13d87f98a7c1668918edae3a15139b78921df5496e0a595e9440af","observation_id":"debfa581-c406-4e27-b083-6599078f68dc","resolution":{"observed_at":"2026-08-14T11:54:04.166009Z","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":"2026-08-14T11:54:04.125801Z","title":"S., and Winther, R","venue":null,"work_id":"f2b06194-e8c0-48ed-8a15-f09cc761b5d4","year":2014},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.535517Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:82e63e1a80cc24ae15638b9f51cd21cd82891ff65a3c643901e883e19276aa7c","observation_id":"8d80bdcf-3658-47e2-b653-2141cb7e1a3b","resolution":{"observed_at":"2026-08-14T11:54:04.135863Z","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":"2026-08-14T11:54:04.105297Z","title":"A new error analysis for discontinuous finite element methods for line ar elliptic problems","venue":null,"work_id":"dbc2f19a-ea40-49e5-8eb8-ba702972e4c3","year":2010},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.539834Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:bb6dfa8f57aa6bd38324756fb33fa1db47a94729b5e63e3a165a43400010f23e","observation_id":"bd6a0e35-42e7-4c67-9c32-fcc4b863e634","resolution":{"observed_at":"2026-08-14T11:54:04.110677Z","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":"2026-08-14T11:54:04.064757Z","title":"A comment on least-squares finite element methods with minimum regu larity assumptions","venue":null,"work_id":"76a26804-7bdb-4e4d-92a6-b8a905339303","year":2013},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.544039Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:f5674ff6b7a5ec927fbb118609f80a5db655ef3ef8d34f212119f40471858a1e","observation_id":"bb06d8f3-be9a-46ff-9cea-e630a45461e0","resolution":{"observed_at":"2026-08-14T11:54:04.083906Z","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":"2026-08-14T11:54:04.003844Z","title":null,"venue":null,"work_id":"50d02c96-b8d4-4697-bc9d-3bac18c31351","year":2019},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.548233Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:f8be4d9e321155c108085cffbebbb5bf79b73470c3836b2a43e9ea970c537c26","observation_id":"355609c1-c246-4a8b-ab67-7b9c42a2e74a","resolution":{"observed_at":"2026-08-14T11:54:04.032115Z","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":"2026-08-14T11:54:03.960736Z","title":null,"venue":null,"work_id":"d6ad3642-89e6-4ea8-a27b-16a8d479cc30","year":2004},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.552979Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:c22a4cdd6e1dcb06b5c4e1b8a1bbcd8e77d3f409ac545c8f18e8e044f80f7597","observation_id":"77119ca8-593c-4515-acc8-2a21739de191","resolution":{"observed_at":"2026-08-14T11:54:03.969176Z","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":"2026-08-14T11:54:03.926264Z","title":"M., and Rojik, C","venue":null,"work_id":"8b03050f-a1f9-4572-be18-17cb6944f5c4","year":2020},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.564064Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:36a32fc9407dfc86571338aae9c22d0d788947c059efeaa77174a6844059d766","observation_id":"5c3b5c37-5f96-494e-8e8b-307b7505c082","resolution":{"observed_at":"2026-08-14T11:54:03.933167Z","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":"2026-08-14T11:54:03.890305Z","title":"Mixed finite elements in R3","venue":null,"work_id":"06c43fe6-058c-4ca8-9876-c387cc755789","year":1980},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.578160Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:0da514d4091ff472f2a6e36a2cd7b4b142a03b7273584dc1a66b67273755dd63","observation_id":"ea149282-8806-465f-ad2e-99e4054353c3","resolution":{"observed_at":"2026-08-14T11:54:03.896808Z","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":"2026-08-14T11:54:03.871385Z","title":"H., and Stamm, B","venue":null,"work_id":"e8a1808e-b7f1-4f3b-a36d-2fa4d8c29ea4","year":2019},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.584757Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:80dd6bf24f8885d5b2ca3daa3a2b2f1a3545b1a66cfffdcf9184a623cdfd4c4a","observation_id":"febde779-f8ae-43e2-b2a2-ad1f089cbf50","resolution":{"observed_at":"2026-08-14T11:54:03.877696Z","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":"2026-08-14T11:54:03.852203Z","title":"I., Carey, G","venue":null,"work_id":"05db45e8-ecc6-4afe-8cd1-80503ef1354c","year":1994},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.590619Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:f03a885bc03e3471dbac4975de22c816002b08dfa372ab822f8dead4cd176ce3","observation_id":"2e2c104a-c540-4d8d-97cc-6e451a56a3e3","resolution":{"observed_at":"2026-08-14T11:54:03.857911Z","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":"2026-08-14T11:54:03.834037Z","title":"A mixed finite element method for 2nd order elliptic prob- lems","venue":null,"work_id":"e1f6192f-e1dd-45d6-948e-aeb0a9dc3862","year":1975},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.595995Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:985fb81538b8e02e4478dc6043f7d64ab85b5d007809c4723df3c4e7d0e02d79","observation_id":"a7dfaa0e-7d30-46d4-83c5-c56a6af26f17","resolution":{"observed_at":"2026-08-14T11:54:03.840798Z","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":"2026-08-14T11:54:03.811357Z","title":"E., and Thomas, J.-M","venue":null,"work_id":"56338e80-2ded-4757-ac02-2d49f3ec818c","year":1991},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.601201Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:826b3cd1db31b78b804a1e830103d3d4048e54b37475005d6687373b439a530e","observation_id":"f63dc5c1-4b9f-41e0-9009-cfa5f630ea6c","resolution":{"observed_at":"2026-08-14T11:54:03.818356Z","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":"2026-08-14T11:54:03.774746Z","title":"Commuting quasi-interpolation operators for mixed finite elements","venue":null,"work_id":"178068af-03ba-46fc-a280-e99ee74ee68d","year":2001},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.606530Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:cd09e4e9740677af5f5e2df4d08ef9b5de73e1bb8457b417173ddcf5314bb546","observation_id":"3cf3f28f-b672-49b8-b9b5-af80891c6dc6","resolution":{"observed_at":"2026-08-14T11:54:03.781918Z","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":"2026-08-14T11:54:03.724135Z","title":"A multilevel decomposition result in H(curl)","venue":null,"work_id":"6a326d69-fb28-488f-ab29-61f18ae00150","year":2005},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.611686Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:a59ea6b3007375cbc1721c16e645dce86a1ee7d87c46b2cc922da9dfe6054a5d","observation_id":"d38e75fe-fe6a-4a88-a667-48ab99a65ab9","resolution":{"observed_at":"2026-08-14T11:54:03.734746Z","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":"2026-08-14T11:54:03.707417Z","title":"R., and Zhang, S","venue":null,"work_id":"b28758de-772f-437a-9ead-5d38e2bef927","year":1990},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.616974Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:e6bcec3fef09239360645f1b67d5b6353a9bcfa630c7500663aa452dc3186b73","observation_id":"80a8a502-732f-46d5-a50a-67cf1c9271dd","resolution":{"observed_at":"2026-08-14T11:54:03.713129Z","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":"2026-08-14T11:54:03.689003Z","title":"Approximating gradients with continuous piecewise polynomial funct ions","venue":null,"work_id":"24be569e-ee00-40da-8729-30d7d659adb3","year":2016},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.622195Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:4dc786dc520fea4bd487151082056609e7e980a0fb002407daebb76dea8a4746","observation_id":"9d1c3ea2-2605-4d76-a200-af2250689301","resolution":{"observed_at":"2026-08-14T11:54:03.696108Z","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":"2026-08-14T11:54:03.665823Z","title":"A posteriori error estimation techniques for finite element methods","venue":null,"work_id":"420b4fc7-8cf0-4336-8a77-6a57ae9adedc","year":2013},"citing_paper":{"arxiv_id":"1908.08158","last_updated":"2020-05-19T01:29:12Z","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T11:54:03.627692Z"},"links":{"citing_paper":"/paper/1908.08158"},"observation_digest":"sha256:1f3a1f38ed4f8c5510d446abe2f508d7a3450741dee03a7ffea820fb602dcb3f","observation_id":"921c5e80-5fcb-46cd-b987-3e58699a32f8","resolution":{"observed_at":"2026-08-14T11:54:03.674766Z","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":"1908.08158","last_updated":"2020-05-19T01:29:12Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-16T04:36:09.236017Z","submitted_at":"2019-08-22T01:17:18Z","title":"Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H(\\mathrm{div})$"},"reference_resolution":{"displayed":46,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":44},"total_outbound_references":46},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:1908.08158."}