{"as_of":"2026-08-16T15:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:efa6fd93b3f4c4e01a0d29c48d63596bccac88ed22eba3c11f67e59a651a879b","coverage":[{"denominator":41,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":41,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:31:36.120139Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T05:54:16.834776Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-14T05:54:17.450517Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"cited_work":{"arxiv_id":"1908.00996","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.00996","snapshot_observed_at":"2026-08-14T05:54:17.450517Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","venue":"math.NA","work_id":"dba684cf-30a9-4a29-be82-e40620ec0948","year":2019},"citing_paper":{"arxiv_id":"1909.00658","last_updated":"2019-09-02T10:48:36Z","snapshot_observed_at":"2026-08-16T06:54:22.843591Z","submitted_at":"2019-09-02T10:48:36Z","title":"Gibbs Phenomena for $L^q$-Best Approximation in Finite Element Spaces -- Some Examples","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-14T05:54:16.834776Z"},"links":{"cited_paper":"/paper/1908.00996","citing_paper":"/paper/1909.00658"},"observation_digest":"sha256:4e6b563fa1afc9c86ad9642b14fd79eef9054a77d6f7032d08ed8eb872e5c0e6","observation_id":"208d18be-973d-4a2d-8921-214c58fc08ad","resolution":{"observed_at":"2026-08-14T05:54:17.455465Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1908.00996/citation-record","integrity":"/paper/1908.00996/integrity","json":"/paper/1908.00996/citation-record.json","paper":"/paper/1908.00996"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:31:35.998459Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:35.998459Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:242c2276b1a8a8de8c3e827a0c587fb530333b181d7e690c5565617f41da73f5","observation_id":"c978d9ea-cbcd-44b7-8367-c7e43992c70b","resolution":{"observed_at":"2026-08-14T15:31:35.998459Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:31:36.480300Z","title":"Wilbraham, On a certain periodic function, Cambridge and Dublin Math","venue":null,"work_id":"83ac894c-bca8-4c7b-a67f-21a2eca81489","year":null},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.002667Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:f39ea130f189d09a7da31c5d78b09a5f7bfe096d208892d35139c6450b3b53a6","observation_id":"dce8cc07-3ebd-48c5-9f30-857673061573","resolution":{"observed_at":"2026-08-14T15:31:36.483568Z","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":"2026-08-14T15:31:36.471488Z","title":"Richards, A Gibbs phenomenon for spline functions, Journal of approximation theory 66 (3) (1991) 334–351","venue":null,"work_id":"297aeedf-0c28-4aa8-a068-f98cb2ffe326","year":1991},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.006942Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:689df8e03c919d64a65a2e75c466a74322de66fedd0bf08deb4c0365b9a6b9b6","observation_id":"94b5356f-73f6-4d08-8f76-0394e14648e2","resolution":{"observed_at":"2026-08-14T15:31:36.474807Z","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":"2026-08-14T15:31:36.462995Z","title":null,"venue":null,"work_id":"c51b1157-e971-4244-8b05-e8b8a461bd4b","year":1999},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.010317Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:2f499ca803623a3d38bb59aa6093102927a8098abf6b3256b7e5086c6d30d8f5","observation_id":"0e164ea7-9d7c-415d-881d-766f64b820ca","resolution":{"observed_at":"2026-08-14T15:31:36.465764Z","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":"2026-08-14T15:31:36.454625Z","title":"Houston, S","venue":null,"work_id":"fd3b2526-3cf7-4180-983a-7e12da34fc0d","year":null},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.012973Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:af2e52f84e4d03faef77a2d1da88aac617dbd7c9c27b90383e7802f508319f0d","observation_id":"c08d9806-08a2-4494-8606-920a51b3c323","resolution":{"observed_at":"2026-08-14T15:31:36.457750Z","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":"2026-08-14T15:31:36.444588Z","title":"Moskona, P","venue":null,"work_id":"62429897-0741-4ced-ae13-08e22edd7138","year":1995},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.015782Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:8a256109a403ea1bdd73249c8c3161020f79abc38cda81d60d69d6a417707dea","observation_id":"a65a0858-3870-4596-8b1d-53ae76f22a01","resolution":{"observed_at":"2026-08-14T15:31:36.447547Z","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":"2026-08-14T15:31:36.436753Z","title":"Guermond, A ﬁnite element technique for solving ﬁrst-order PDEs in LP , SIAM J","venue":null,"work_id":"8cfb1d71-86c6-4c99-a6a1-1fee861237e9","year":2004},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.018353Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:05b2da53a793d49fbb54101c0c2a395fda422f2b0395720da1a4b302a17d5b29","observation_id":"86b9e663-86bf-49bb-a0d6-200e11ad29fc","resolution":{"observed_at":"2026-08-14T15:31:36.439312Z","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":"2026-08-14T15:31:36.428684Z","title":null,"venue":null,"work_id":"163cec3b-2f7b-4f0c-ad58-3608639f4430","year":1988},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.020875Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:45659cd3580964ae6f8aefe52c8f379eb9cf84529bbe90b573990e907e1adc9b","observation_id":"718def8c-6744-4a6c-a224-0ec71eaf1bb5","resolution":{"observed_at":"2026-08-14T15:31:36.431762Z","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":"2026-08-14T15:31:36.419454Z","title":null,"venue":null,"work_id":"7cd2a027-70bd-47c8-8699-4386ed13df13","year":1989},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.023240Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:edbd02b3a84443647a0ead8f95c8d3cc1d0aea0942f8ed463906bfddfb9d6049","observation_id":"19195aa6-7c41-4f84-9574-5e8b3282c16f","resolution":{"observed_at":"2026-08-14T15:31:36.422632Z","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":"2026-08-14T15:31:36.411273Z","title":null,"venue":null,"work_id":"890ca721-1b98-44f3-9a11-8667e29b5100","year":1991},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.026307Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:aa602ed5364a7daa23a56edbdcf56621f6fb2f8ec1101cfff33b7f80510b8439","observation_id":"c2c460e4-9c2e-4a4b-af6c-8b07e5a6bb52","resolution":{"observed_at":"2026-08-14T15:31:36.414044Z","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":"2026-08-14T15:31:36.401142Z","title":null,"venue":null,"work_id":"1284fd02-90be-4f4a-99ed-fef183ee6688","year":1993},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.029812Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:21c9d01ed98577e0e6492c82a11d2b896351ccbb7648db2c05ae6f863c01cf5d","observation_id":"7a0b2227-5e7c-47a2-90aa-b92eb2e6b07d","resolution":{"observed_at":"2026-08-14T15:31:36.404814Z","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":"2026-08-14T15:31:36.391333Z","title":"Jiang, The least-squares ﬁnite element method: theory and applications in computational ﬂuid dynamics and electromagnetics, Springer Science & Business Media, 1998","venue":null,"work_id":"d81f1cdc-ac6b-4eaf-8895-097a5867683a","year":1998},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.032540Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:339a8ef6b9f685292e0ca22ccf981790431a9b1d7d90c3cab3ef60f4381208bb","observation_id":"626637bc-69af-4c36-96e2-f6d08b36dbb6","resolution":{"observed_at":"2026-08-14T15:31:36.395208Z","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":"2026-08-14T15:31:36.383248Z","title":"Guermond, B","venue":null,"work_id":"d1f8c96f-1799-4fc2-85b2-824cb29defbd","year":2007},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.035292Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:df7767ab43d542d8bbcc29da436c5715ee2afd679181855a1989a9b12a231f1c","observation_id":"506d63ed-aefc-4e45-90b2-664b8af405e0","resolution":{"observed_at":"2026-08-14T15:31:36.386122Z","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":"2026-08-14T15:31:36.375311Z","title":"Guermond, F","venue":null,"work_id":"4c59da3e-80f1-4cac-bb83-27e6d9714f7b","year":2008},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.038022Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:16e1132cf018c1eef5e00f25ae2a14a154679a9d1c4efe86384f48411720d2f6","observation_id":"589b61f9-e2db-4013-86cc-c12fc19b6647","resolution":{"observed_at":"2026-08-14T15:31:36.378220Z","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":"2026-08-14T15:31:36.367005Z","title":"Guermond, B","venue":null,"work_id":"8dfbb877-2808-4ba3-bffe-6dd78a2b2240","year":2008},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.041029Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:12de924d1c236c3c3694fdb543b38baf3bb47a3564ecce512b43843ce4520284","observation_id":"8893338c-f2fd-4a28-b88b-45278c9c3925","resolution":{"observed_at":"2026-08-14T15:31:36.369819Z","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":"2026-08-14T15:31:36.359187Z","title":"Guermond, B","venue":null,"work_id":"8e93f23d-0013-48b4-bae6-9b6a8de3b8ed","year":2009},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.043579Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:644fc49d67b7cb89ef275db66f647c3a10aafd6bd9d73d773a5ed21524ea35c8","observation_id":"78a3225e-51fb-4a84-9fdf-0863d945864b","resolution":{"observed_at":"2026-08-14T15:31:36.362047Z","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":"2026-08-14T15:31:36.351503Z","title":null,"venue":null,"work_id":"8829bb31-f09b-4638-8b0c-e44472460d09","year":2014},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.049263Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:035d134bd33fe654c1a15b375171775ff3813eb30d16d550a9e0d9384d56ad10","observation_id":"12a2d641-30dd-4edf-8bbe-6b75ebb7457a","resolution":{"observed_at":"2026-08-14T15:31:36.354575Z","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":"2026-08-14T15:31:36.343245Z","title":null,"venue":null,"work_id":"dc0adf85-c9d8-4386-885b-ba5fd06879c9","year":2014},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.051835Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:d05c14b5467f2be153e76abd16dea01a5ed0b422b444293ae6915a314baad021","observation_id":"e0a945a6-ebc9-41f0-9182-aa60925fa4a7","resolution":{"observed_at":"2026-08-14T15:31:36.346524Z","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":"2026-08-14T15:31:36.335772Z","title":"Broersen, R","venue":null,"work_id":"19ff3206-0a81-4fa7-8b5a-61f6ff1b7ae0","year":2014},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.055473Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:e584fada91ff62c58812076b4d0e2f4d03e7344873f3e52822cf2ecae893c53d","observation_id":"9db2be4c-8f49-4cc4-a054-3114b02d39da","resolution":{"observed_at":"2026-08-14T15:31:36.338257Z","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":"2026-08-14T15:31:36.328511Z","title":"Broersen, R","venue":null,"work_id":"3cc98b72-9160-424c-aae9-ed2f9f03d2b5","year":2015},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.058912Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:3d1185348c5f44a1daf8f25f215c7ad4aabe438a09b9bb56ebaab24bc433f64a","observation_id":"859fd705-41bc-423e-98ec-27cbda07fb97","resolution":{"observed_at":"2026-08-14T15:31:36.330911Z","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":"2026-08-14T15:31:36.320909Z","title":null,"venue":null,"work_id":"8dbe5b56-9f6c-4e6f-8ca6-e0547961a754","year":2014},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.062054Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:4b493ce7e3104d49af6de8fdee16a6a60ea7a31326f89a300fd67420aa26fade","observation_id":"971a8ae2-fdf6-41b5-b7aa-770f89bf0b76","resolution":{"observed_at":"2026-08-14T15:31:36.323426Z","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":"2026-08-14T15:31:36.312698Z","title":"Cohen, W","venue":null,"work_id":"d68cfce4-5d51-4a53-bae3-52ee80d244f3","year":2012},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.065041Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:d298644d0697000fdc339068ffc251daccf6271154f7cb4111f0db6de0854b85","observation_id":"72e10d31-82cd-4eee-ab96-47e9ad8a5c43","resolution":{"observed_at":"2026-08-14T15:31:36.315607Z","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":"2026-08-14T15:31:36.304098Z","title":"Demkowicz, N","venue":null,"work_id":"23019b7b-0a0e-4ed9-8a56-f0ddabc7504d","year":2013},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.068228Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:a6f2ef7158c2dc4a7c657b617cfc4ebfa8391c2ab09e84ba6311e122a65154dd","observation_id":"c3fe9efd-6cf4-431a-9a70-bc95fda93631","resolution":{"observed_at":"2026-08-14T15:31:36.307371Z","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":"2026-08-14T15:31:36.294802Z","title":null,"venue":null,"work_id":"621a9f4a-aede-412c-8533-31b4280dcd0a","year":2015},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.071060Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:b89b82c67951b404b83ef94ea1e1cc8881933e7d30df20edd85e91d55351ce06","observation_id":"5b9d58a4-6377-44d9-a148-3bbee3653449","resolution":{"observed_at":"2026-08-14T15:31:36.298078Z","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":"2026-08-14T15:31:36.287068Z","title":"Logg, K.-A","venue":null,"work_id":"054151bb-b4a9-4cc6-8e26-46acdce5d585","year":2012},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.073643Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:7c08bc400d40994a565c66abb3a20f1856b9aa4e4fefde21f0a20f82ac4026df","observation_id":"6c470a70-6374-49e6-baad-aa11d4daa09e","resolution":{"observed_at":"2026-08-14T15:31:36.290088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1511.04400","last_updated":"2018-07-29T23:01:50Z","snapshot_observed_at":"2026-08-14T22:23:04.524451Z","submitted_at":"2015-11-13T18:55:35Z","title":"Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov-Galerkin, and Monotone Mixed Methods","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.04400","snapshot_observed_at":"2026-08-14T15:31:36.077019Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.077019Z"},"links":{"cited_paper":"/paper/1511.04400","citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:767608b35d6216bd209e9c56ab41bc3ace10e908a9e3bac91fca2c6770c790fd","observation_id":"f48fd632-2624-46fb-9af3-d1caf8bbe000","resolution":{"observed_at":"2026-08-14T15:31:36.077019Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:31:36.278846Z","title":"Houston, I","venue":null,"work_id":"efad1944-37d8-492c-bbe5-f7234b5b4c9e","year":2019},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.079506Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:0ffc5b6a098cc7e4f4296cd8e7b0c8d49dc1605f0a15835df50d59cb35f754a7","observation_id":"fb944b2b-663e-404c-ac24-72ba5b9a270c","resolution":{"observed_at":"2026-08-14T15:31:36.281690Z","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":"2026-08-14T15:31:36.269862Z","title":"Brezis, Functional analysis, Sobolev spaces and partial diﬀerential equations, Universitext, Springer, New York, 2011","venue":null,"work_id":"b3286dc8-9a55-44d4-acc2-4430770bd87a","year":2011},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.082234Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:8fa6ad8b62820bd260cd6a7a6b97296c605629ab7fa03ae400c08ebff2be922d","observation_id":"af6f8a68-16d3-4289-9bcf-9d0c12718d09","resolution":{"observed_at":"2026-08-14T15:31:36.272882Z","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":"2026-08-14T15:31:36.261104Z","title":"Deimling, Nonlinear functional analysis, Springer-Verlag, Berlin, 1985","venue":null,"work_id":"1c251262-7705-417e-b7cd-5c4fce9903e7","year":1985},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.084802Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:3b7335d2b871e322916989c1cdcb63d9602d995db7d91c94b6254375fd92a0df","observation_id":"87f9c67f-73a3-446b-b53f-d49328fa0c8a","resolution":{"observed_at":"2026-08-14T15:31:36.264775Z","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":"2026-08-14T15:31:36.252939Z","title":"Zeidler, Nonlinear functional analysis and its applications","venue":null,"work_id":"ebcf93b4-e917-4386-af1d-dc54449f76f7","year":1985},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.087726Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:39cf9551d80984cb7e9b21ed7faa6d6708b3028dd115c00f66e0d0502e1f342f","observation_id":"42bfc340-4651-45d1-89d8-eb8c90975b90","resolution":{"observed_at":"2026-08-14T15:31:36.255996Z","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":"2026-08-14T15:31:36.244363Z","title":"Cioranescu, Geometry of Banach spaces, duality mappings and nonlinear prob- lems, Vol","venue":null,"work_id":"af755b4e-b9fc-4296-b1ff-b5d9e04e5d29","year":1990},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.090626Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:c67f3b17c578f78c1f0cc5c8e7826144edb3b89f784f6756bcdf6903a67fa178","observation_id":"a3b38e27-829e-48ce-96c0-104828d094a3","resolution":{"observed_at":"2026-08-14T15:31:36.247351Z","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":"2026-08-14T15:31:36.235445Z","title":"Chidume, Geometric properties of Banach spaces and nonlinear iterations, Vol","venue":null,"work_id":"3ad4dcc7-2252-4a05-9e25-5965ca184980","year":1965},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.093512Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:c1e80556783c57ddcd13e2e806cb313bf08b38ca995a0683ba92e20eddc7c96e","observation_id":"72c39487-4830-4e8f-ba21-9f60d4441318","resolution":{"observed_at":"2026-08-14T15:31:36.239028Z","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":"2026-08-14T15:31:36.227692Z","title":"Demkowicz, J","venue":null,"work_id":"02b10d3c-ea28-4635-83aa-04d943fcf709","year":2015},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.096583Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:685e2662f1654ba64a935b54afc68a4b82d7f8fd832481aa28622e47e215724b","observation_id":"90fd320e-7d9c-49b5-a818-897fde04f5d5","resolution":{"observed_at":"2026-08-14T15:31:36.230745Z","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":"2026-08-14T15:31:36.219158Z","title":"Demkowicz, J","venue":null,"work_id":"45496dbc-f07c-4b9b-ba7b-f40886466ecf","year":2011},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.099474Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:2cc38890ab27e6794a483cef4c6803f0cfc3b21bc06c19f44c372c970108f32a","observation_id":"4da07160-e221-4dbf-b916-f6fa7eda7943","resolution":{"observed_at":"2026-08-14T15:31:36.222262Z","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":"2026-08-14T15:31:36.210599Z","title":"Stakgold, M","venue":null,"work_id":"50be9a37-71eb-4d7f-a7f0-503aa863c93c","year":2011},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.102252Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:aa8785fff832ffae0637f33c32e7cb0775b3b90705d0a466aacebb3854cd731b","observation_id":"f27e065b-3b7b-4a6f-bbb8-aaa8c7468f1a","resolution":{"observed_at":"2026-08-14T15:31:36.214064Z","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":"2026-08-14T15:31:36.199210Z","title":"Zitelli, I","venue":null,"work_id":"4511ad83-4653-413f-8c7a-9ffbcf1746cf","year":2011},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.105419Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:a69cb12a280f9e3dd90aea1434863a1f87aa968360be2ef0172a27bc1530d9f1","observation_id":"ebd655f5-3d5c-44c6-a395-03c58a4ebd37","resolution":{"observed_at":"2026-08-14T15:31:36.202820Z","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":"2026-08-14T15:31:36.190353Z","title":"Gopalakrishnan, W","venue":null,"work_id":"79672813-3600-426c-bbdc-3f127c3ecc38","year":2014},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.107988Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:4fcfd889fd822359948a36766053995d548b9dce86cd2c7fed75ed9292fcf4b4","observation_id":"b96275ae-f6ea-481f-b7f0-9ec97aecfc40","resolution":{"observed_at":"2026-08-14T15:31:36.193297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1306.0557","last_updated":"2014-08-28T00:33:51Z","snapshot_observed_at":"2026-08-15T00:15:22.993824Z","submitted_at":"2013-06-03T17:43:01Z","title":"Five lectures on DPG methods","version":2},"cited_work":{"arxiv_id":"1306.0557","doi":null,"metadata_source":"pith","pith_arxiv_id":"1306.0557","snapshot_observed_at":"2026-08-14T15:31:36.142308Z","title":"Five lectures on DPG methods","venue":"math.NA","work_id":"3093c50e-92aa-4b9f-ad27-6e2002d352fa","year":2013},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.110547Z"},"links":{"cited_paper":"/paper/1306.0557","citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:be7a88b03fd8b98e47ab32d2684829992a0ab2336339e6a35ab2af1735d219ce","observation_id":"217ab3f7-4438-451e-a54c-24ea7d278b8a","resolution":{"observed_at":"2026-08-14T15:31:36.147207Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:31:36.180119Z","title":null,"venue":null,"work_id":"23339a02-4ee5-47bc-9a9d-0f84beb1cc53","year":2019},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.113492Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:c8dc72461e23c3ab33b87b72be4bc617100d1c64b5da8921a9289bf38606fbdc","observation_id":"4b938605-d7b7-4466-a822-4e2b6ec63a26","resolution":{"observed_at":"2026-08-14T15:31:36.183569Z","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":"2026-08-14T15:31:36.170991Z","title":"Solin, L","venue":null,"work_id":"1f4140f7-b534-41f4-b2ee-2ae6846bb93e","year":2014},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.117086Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:60f3c3aff6db1af5b60628311397c2f5a4fe3270e405479c60380408a6b67817","observation_id":"53c116d7-4657-4454-b945-e42ec3978c0d","resolution":{"observed_at":"2026-08-14T15:31:36.173824Z","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":"2026-08-14T15:31:36.162784Z","title":"Demkowicz, T","venue":null,"work_id":"56227a83-c204-4bdb-b757-65e975cb878b","year":2019},"citing_paper":{"arxiv_id":"1908.00996","last_updated":"2019-08-02T18:18:16Z","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T15:31:36.120139Z"},"links":{"citing_paper":"/paper/1908.00996"},"observation_digest":"sha256:329616ca42b4e9ccfeb6d559aeeb80675d8f1098f487ea57320f7ae726c90d5a","observation_id":"aecba5a9-6267-44a4-8676-fe599cd67540","resolution":{"observed_at":"2026-08-14T15:31:36.165619Z","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":"1908.00996","last_updated":"2019-08-02T18:18:16Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-14T15:24:00.629595Z","submitted_at":"2019-08-02T18:18:16Z","title":"Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":1,"verified_fuzzy":28},"total_outbound_references":41},"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 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:1908.00996."}