{"as_of":"2026-08-20T08:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bb77ad52b9033f36cee93ed8f737280dde42e1fc95062304ff3ef39c5fbf6713","coverage":[{"denominator":49,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":49,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T22:29:46.157511Z","state":"measured"},{"denominator":49,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":49,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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/2501.01621/citation-record","integrity":"/paper/2501.01621/integrity","json":"/paper/2501.01621/citation-record.json","paper":"/paper/2501.01621"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:29:46.746553Z","title":"Rozza, D","venue":null,"work_id":"cf7c7699-b929-4d5d-ba37-d20383f939bd","year":2008},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:45.966650Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:2ccf00a3281720ac9636a9aa61dea006f7b7d38b08cbec0954949ef20a192a6b","observation_id":"97ae0e1d-8b65-47f7-a0c4-226e139c6814","resolution":{"observed_at":"2026-08-10T22:29:46.750384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.734074Z","title":"Quarteroni, A","venue":null,"work_id":"a131f679-e4ec-4317-bda4-3df7b1933f80","year":2015},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:45.971692Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:a10b9d5e5fc0fee32ac53a4f3736fad81a85c39c08515f753f7b748a2b25bc19","observation_id":"143fbb59-91a0-496a-a92d-912b5b3d6f57","resolution":{"observed_at":"2026-08-10T22:29:46.738479Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.721908Z","title":null,"venue":null,"work_id":"2a66b0fd-e6af-4219-be3c-885231676186","year":2016},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:45.975755Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:bd2ddcc8626df18d4caa8afc8ce39d76f2c5ce05af766c7a723765fc84c48e90","observation_id":"a4c5e237-cb02-425e-a20e-af8dd900ce1a","resolution":{"observed_at":"2026-08-10T22:29:46.725984Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:29:45.980037Z","title":"A survey of projection-based model reduction methods for parametric dynamical systems,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:45.980037Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:96abc6d223024145942ec96f6df5e823db7d52e259e008ec7d388a1d477523e1","observation_id":"72db90c1-496e-48ec-9d07-12df0e82b84c","resolution":{"observed_at":"2026-08-10T22:29:45.980037Z","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":"2026-08-10T22:29:46.702742Z","title":null,"venue":null,"work_id":"d2bf815a-e6e9-4f06-9de8-1f2f01f7ff13","year":2007},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:45.984489Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:2ab507bd00a85c46959bec58db6fbd7953dd53031a8cc270511841590f9b3b0a","observation_id":"263b0258-defa-4a02-a681-e569bcb4be04","resolution":{"observed_at":"2026-08-10T22:29:46.706583Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.690880Z","title":"Dynamic analysis of structural systems using component modes,","venue":null,"work_id":"4f59e695-5248-4369-89ba-8c925fb844ba","year":1965},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:45.988679Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:055b833db390198b7a34f41ea07a13a0dc6b563a8dc6cd2ab4fc443923277c18","observation_id":"0bd0f516-99f1-4fa4-b6c2-caf974a94c00","resolution":{"observed_at":"2026-08-10T22:29:46.694845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.678863Z","title":"Component mode synthesis and eigenvalues of second order operators: discretization and algorithm,","venue":null,"work_id":"287a04d8-f434-4d7c-9831-6c06edba9bde","year":1992},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:45.993128Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:6b6e24a30edefff6f394906f73f0379fdc4579566553d6fd7db2c3da56813a3b","observation_id":"0a8675cb-4b6b-4b38-ac4c-7e15bf60ee73","resolution":{"observed_at":"2026-08-10T22:29:46.683244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.669109Z","title":"A reduced-basis element method,","venue":null,"work_id":"fb778e24-45ff-4816-83d2-9e22e1a655a3","year":2002},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:45.996991Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:915072d1f5c8317b92883cf3fae1b5042bbe8ae2d0359773cc4539694ae6ca03","observation_id":"45f14ad0-8e47-47fd-bf2c-3a9128c7bba9","resolution":{"observed_at":"2026-08-10T22:29:46.672500Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.658738Z","title":"The reduced basis element method: application to a thermal fin problem,","venue":null,"work_id":"c2744b6d-a0c0-4f64-bf09-4ff6a6d9fe6a","year":2004},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.000782Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:091a96a89613851dd34d04eae6dee7f1b9e48e185c3532c47e4442d16e7914be","observation_id":"1c105976-e8dd-4b63-8d81-571e47096366","resolution":{"observed_at":"2026-08-10T22:29:46.662317Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.645755Z","title":"A reduced basis element method for the steady Stokes problem,","venue":null,"work_id":"75ee20fd-9cec-4cd2-858f-22c959029b13","year":2006},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.004454Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:3f911e764774ba125c5187071a3c9b63bddffd45fdffd662a96cd2d5d3bbe200","observation_id":"17777d7e-153a-4c7c-8222-f90689e20436","resolution":{"observed_at":"2026-08-10T22:29:46.650451Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.633975Z","title":"A static condensation reduced basis element method: approximation and a posteriori error estimation,","venue":null,"work_id":"13d746ee-3d7c-4276-8655-a605ca8db8b3","year":2013},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.008180Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:ec8cb5738f0f6d763249522ed316d08472fc882f313c42c18db9152496b648e5","observation_id":"56b04a54-710c-4d09-8c15-6d5c8c6a0a6a","resolution":{"observed_at":"2026-08-10T22:29:46.638069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.621443Z","title":"A static condensation reduced basis element method: Complex problems,","venue":null,"work_id":"50e446a6-3d6d-4902-8fe5-4e7ba55a623a","year":2013},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.012194Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:3abe695d2dd9e04174ea9a0778a1feb13def4aa11cb79a71eebad984a5fd3bac","observation_id":"42be3360-2f28-4ded-ac4b-6471c0491ae1","resolution":{"observed_at":"2026-08-10T22:29:46.625827Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.609289Z","title":"The static condensation algorithm,","venue":null,"work_id":"9508d719-b6eb-44e7-b81c-9a26c0bf01bc","year":1974},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.016474Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:80c94c1cdd76bb86626e40433b8852729ec01e6b67e5ae81694fcc2776dc394c","observation_id":"d670ee7d-4ba5-4095-928b-16ccd5a9a727","resolution":{"observed_at":"2026-08-10T22:29:46.613287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.597706Z","title":"Port reduction in parametrized component static condensation: approxi- mation and a posteriori error estimation,","venue":null,"work_id":"ecf99b96-9e1a-43ee-9171-da9a77170dd6","year":2013},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.020368Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:3dbd368235b552cfdf2df57b33cb4aa0950eb1d78d0f2343bceef4148d3f88bb","observation_id":"be74e2f1-55f9-461d-a563-e305503c3bed","resolution":{"observed_at":"2026-08-10T22:29:46.601858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.586820Z","title":"A port-reduced static condensation reduced basis element method for large component-synthesized structures: approximation and a posteriori error estimation,","venue":null,"work_id":"cc243124-bfbb-4a84-9e80-ee4ed2380167","year":2014},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.024362Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:da52a6bf2356063376428929051e3871588590f6a984dbabf5de4cfe77c25c7b","observation_id":"5b3c18cc-9703-4285-87be-f050210eaec3","resolution":{"observed_at":"2026-08-10T22:29:46.590700Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.576778Z","title":"A new certification framework for the port reduced static condensation reduced basis element method,","venue":null,"work_id":"b4dedcaa-2b52-4b2c-83cf-78d354533dfb","year":2015},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.028395Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:b349d60af13743704db9daae97f109872486259fd049a8d559b8f5b11353f773","observation_id":"1a72c0eb-8ccf-4398-b5a7-22490ac4d752","resolution":{"observed_at":"2026-08-10T22:29:46.580252Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.565440Z","title":"A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales,","venue":null,"work_id":"711bcc19-4a15-46a6-bc7e-78dc0178e4af","year":2008},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.031980Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:190812b72980560841a5f037b5e4e3e2092e0318e36967568ef7d7ac505fc490","observation_id":"0a161ffd-2f3b-4037-939d-e18cbfc73b75","resolution":{"observed_at":"2026-08-10T22:29:46.569607Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.553325Z","title":"Reduced-basis approach for homogenization beyond the periodic setting,","venue":null,"work_id":"c9a112d8-24be-4503-a7d5-683245436169","year":2008},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.035734Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:64745ab029cb0a8be73cf026039a08c5c8f03724c1f21a5a8170d8aead99428d","observation_id":"252b2daa-f89a-47ab-a670-6169b11bb442","resolution":{"observed_at":"2026-08-10T22:29:46.557429Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.541892Z","title":"A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems,","venue":null,"work_id":"0aba6c12-f60b-424a-ae47-917e97fef2d2","year":2011},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.039504Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:4bf0c7b565276f4cc02712eca0c51f12db0b1329708ec17b2e4ae1a6157d366c","observation_id":"0565acd0-4c9d-477c-bdae-79a4bbf3417f","resolution":{"observed_at":"2026-08-10T22:29:46.545587Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.530235Z","title":"A multiscale continuous Galerkin method for stochastic simulation and robust design of photonic crystals,","venue":null,"work_id":"4a08c9d0-636d-4528-a32c-6749dbf4bf16","year":2019},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.043524Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:f99f719ce934525713ca39d418e48ccb59ad4f2edb1781f2154cb51d5a18461f","observation_id":"9ff88155-16ae-4d92-b78e-8aa1bfc68c5c","resolution":{"observed_at":"2026-08-10T22:29:46.534299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.517942Z","title":"Component-wise reduced order model lattice-type structure design,","venue":null,"work_id":"171d26c7-42a1-41ee-8d6a-0654905836fe","year":2021},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.047566Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:e812066a98a05d92493697fbbc259a767e3a0f1404f89f2debc308e875f7d3c3","observation_id":"9b2946bd-db5c-4398-b3dd-121961f70dc0","resolution":{"observed_at":"2026-08-10T22:29:46.521627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.506473Z","title":"Multiscale modeling of linear elastic heterogeneous structures via localized model order reduction,","venue":null,"work_id":"f7186f79-a23c-4207-a1cd-643ec5f8c990","year":2023},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.051912Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:b48649f31d4eaa0244131fa7c46440e7ab08b095ce6d611afb4170927fb05ee8","observation_id":"2107b14b-c5dd-4388-a7ba-2c0ea5fe8509","resolution":{"observed_at":"2026-08-10T22:29:46.510677Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.495053Z","title":"A domain decomposition strategy for reduced order models. application to the incompressible Navier–Stokes equations,","venue":null,"work_id":"250156e2-43de-4455-b233-5ef8ee923a28","year":2013},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.056119Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:dea5f217e3638c1aa3d53f86024d3449c91beb055a7c448a5c36124d37411bc3","observation_id":"bea176cc-b2df-47b4-bf7f-3b52405ca7ea","resolution":{"observed_at":"2026-08-10T22:29:46.498987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.482275Z","title":"A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities,","venue":null,"work_id":"a219ae8f-29b1-4b99-be00-d4e663f66939","year":2018},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.059607Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:11934b9e93ed07f99d68d932def9ccb6ad46dc331922dd777712a928645b19ab","observation_id":"f2d84e41-d67d-417d-b5b3-6b3e25871d45","resolution":{"observed_at":"2026-08-10T22:29:46.486450Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.470500Z","title":"Model order reduction for large-scale structures with local nonlinearities,","venue":null,"work_id":"2be78e80-2f37-499f-994a-0d0a78901289","year":2019},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.063366Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:2f44205b7f4aacd6d3082048497141ad594a5c8d9ebf9e4c5712e32f8b29daa0","observation_id":"8757d165-b011-44de-83d0-68e75b7249ea","resolution":{"observed_at":"2026-08-10T22:29:46.474646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.458219Z","title":"Domain-decomposition least-squares Petrov–Galerkin (DD- LSPG) nonlinear model reduction,","venue":null,"work_id":"93c9b719-890f-436b-9abe-9a9fb2eaf0ba","year":2021},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.066843Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:a6638e8b5fea9f2cb07fbbad989a215f14271ed94396275ee7e959d7b59096b9","observation_id":"f8e819fb-dcb9-484f-8c3e-27c720cd10d5","resolution":{"observed_at":"2026-08-10T22:29:46.462579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.445591Z","title":"A one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticity,","venue":null,"work_id":"97eff79f-5e5c-42c9-b9fe-d1f22b2970f2","year":2023},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.070463Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:0bc784ed7a142b2374ef03db9f102540407d719e96aa2f67256e558c83b1d879","observation_id":"8aa3f959-9cef-4258-846e-44ec483e838f","resolution":{"observed_at":"2026-08-10T22:29:46.449989Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.433523Z","title":"Localized model reduction for nonlinear elliptic partial differential equa- tions: localized training, partition of unity, and adaptive enrichment,","venue":null,"work_id":"24574d9d-8e7d-4c1c-a776-079fb51e1ba8","year":2023},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.074154Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:6fb00f45e7fcee245323a574c083459101068b76b8ef176847d54046f4de1987","observation_id":"1153030f-0a54-4dd6-af3a-d40235515cd8","resolution":{"observed_at":"2026-08-10T22:29:46.438055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.421873Z","title":"A fast and accurate domain decomposition nonlinear manifold reduced order model,","venue":null,"work_id":"75b4264b-b046-4a4d-bba7-010d315265c5","year":2024},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.079158Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:19c5ddbd466dca873c0b33542fd495adc36fdbceb6709ec191c02d45c82bd381","observation_id":"87b0274c-fbf5-437f-a659-f8d4a6b831d3","resolution":{"observed_at":"2026-08-10T22:29:46.425730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.410884Z","title":"An LP empirical quadrature procedure for parametrized functions,","venue":null,"work_id":"ba7d320a-5710-4219-ad61-44b363cb5623","year":2017},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.083259Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:2c1cc3162b357ac357d8e1fdb9f098cb1ee45dd80e8320f21f7f8494ed26a2b4","observation_id":"95511f7f-7cc3-4c6c-8844-39677dfb9d18","resolution":{"observed_at":"2026-08-10T22:29:46.414413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.399425Z","title":"An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs,","venue":null,"work_id":"e5b83ce5-3f0a-458d-89bc-ad705a270fe6","year":2019},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.086791Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:99efb89453d817605dc128206a7bb2fb7c2bb421bfae1a51cb8a5209739d5189","observation_id":"4090c831-a0f3-4103-9d32-a814460ea001","resolution":{"observed_at":"2026-08-10T22:29:46.403643Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.388336Z","title":"Numerical analysis for nonlinear and bifurcation problems,","venue":null,"work_id":"9ce012ba-b2ce-4a5c-a39f-5e04b1eb51a6","year":1997},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.090310Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:979c50040c093bac26929a8e69effde5419329a119b571cd185b3a59804058fe","observation_id":"af9e4503-0c07-499c-9f51-26f81038cc2e","resolution":{"observed_at":"2026-08-10T22:29:46.392267Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.377386Z","title":"Karhunen–L` eve procedure for gappy data,","venue":null,"work_id":"090f2c27-a193-47c6-af6b-b5d8b70b9462","year":1995},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.093522Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:4144ecd8de6f3e982e6f736ae0576e11f36117357dc0f7dbd10e52e7d1bf5dea","observation_id":"8a98859b-00d8-45bf-bcdd-3096724aacda","resolution":{"observed_at":"2026-08-10T22:29:46.381356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.365268Z","title":"An ‘empirical interpolation’ method: ap- plication to efficient reduced-basis discretization of partial differential equations,","venue":null,"work_id":"2acf9d6d-af37-4241-940c-4e9f888f37c2","year":2004},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.097027Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:f74779b31eaf652dae1c7a2f761ed91f6f2ead8d449a2caab86fb4124489c83a","observation_id":"c4286c85-eb74-4f04-9290-49c25177d3bb","resolution":{"observed_at":"2026-08-10T22:29:46.369302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.354386Z","title":"Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations,","venue":null,"work_id":"dba64a41-a586-40e3-888a-4569d918e378","year":2007},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.101142Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:536a1af6796bde85bac965e37f6413e99733f636646fce9d4fd7145afb6d2534","observation_id":"3840a7fb-4b59-4f46-afe8-557585a832d6","resolution":{"observed_at":"2026-08-10T22:29:46.358058Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.343600Z","title":"Nonlinear model reduction via discrete empirical interpolation,","venue":null,"work_id":"62edf331-101b-436d-915f-051fff128ada","year":2010},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.105098Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:7159bec5823b1d450716c707820d3893810ecf716f53973811646faec22e7c8f","observation_id":"2a22c193-1d50-4f82-8f9c-eadcd51e981e","resolution":{"observed_at":"2026-08-10T22:29:46.347178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.332365Z","title":"Efficient and accurate nonlinear model reduction via first-order empirical interpolation,","venue":null,"work_id":"77d60e25-eae0-44ac-b59a-e48df3f4cdee","year":2023},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.109274Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:e830af78e344a7116106220ffc1b4beb27b69b4b89213d4bed9fc5774c957aa5","observation_id":"55638192-028b-49c9-8e3f-1ab1d4b0184e","resolution":{"observed_at":"2026-08-10T22:29:46.336279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.321007Z","title":"Model reduction techniques for parametrized nonlinear partial differential equations,","venue":null,"work_id":"b8116eb2-9fcb-444a-aaab-bd48b9be5c55","year":2024},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.112968Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:46ba09a03f79425f408f84eca415f29c1b5fb0f6f5f9704a3ee6570af4fc91f9","observation_id":"c163e54f-da56-41b7-b38a-cbd038285687","resolution":{"observed_at":"2026-08-10T22:29:46.325256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.309358Z","title":"Efficient non-linear model reduction via a least-squares Petrov–Galerkin projection and compressive tensor approximations,","venue":null,"work_id":"ddc22d0d-eeb9-4037-b8ad-983a5f6ef9a6","year":2011},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.116829Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:08f550b2fce6b6aa9b8e62a3f1fab5a6642f7d081e52f68c15a434a214ddd8f5","observation_id":"e386d54a-dffa-4f24-a4a7-3313a0b32688","resolution":{"observed_at":"2026-08-10T22:29:46.313841Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.297617Z","title":"Optimizing cubature for efficient integration of subspace deforma- tions,","venue":null,"work_id":"078b5c56-a283-43ac-8cf2-75bc146daf09","year":2008},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.120798Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:f1ace060743045e738d3b45721aa8a110b34438f412c1d67dfd97674a1bf0bc9","observation_id":"f436bb6e-c6a2-4ef8-90db-c818581cbcf9","resolution":{"observed_at":"2026-08-10T22:29:46.301853Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.286610Z","title":"Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency,","venue":null,"work_id":"e8e26c72-e3b9-4371-9f5c-017542ec3350","year":2014},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.124923Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:43ff0e184958905f4f5d007f8f409ed24de7f3444f693ada215a8928480b2a22","observation_id":"72159d65-679b-4b43-9af2-d27a7cb68355","resolution":{"observed_at":"2026-08-10T22:29:46.290214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.275795Z","title":"Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models,","venue":null,"work_id":"fe0ee427-c421-4781-a458-443e96d40e86","year":2015},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.129053Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:af28a34a6b0180075345411fd76a5c1173760c21a0a8242e847eb01946b47f08","observation_id":"6ad2faeb-333c-47fb-963f-ace448c1578b","resolution":{"observed_at":"2026-08-10T22:29:46.279455Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.265208Z","title":"Dimensional hyper-reduction of nonlinear finite element models via empirical cubature,","venue":null,"work_id":"7d60d2c0-f48b-468f-a105-d4a33da26bfc","year":2017},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.134093Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:026cbcfb3096b7dbe4e827462a3e3526a7a133db7389812609fd78423c580dff","observation_id":"ae9ddb53-b8cb-4897-a3b7-b4224d86abd9","resolution":{"observed_at":"2026-08-10T22:29:46.268721Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.252780Z","title":"Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error bounds,","venue":null,"work_id":"ddbc0696-10df-4cca-a632-cd47e57fc1eb","year":2003},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.137886Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:d7299aa012df1678ecda1b935cbcb3d85d939167fc01e39af0d9fbc2381b58d4","observation_id":"439b0606-3bf4-4b12-9d69-e3e449392c1d","resolution":{"observed_at":"2026-08-10T22:29:46.257081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.240100Z","title":"A space-time hp-interpolation-based certified reduced basis method for Burgers’ equation,","venue":null,"work_id":"63294d52-418f-4853-a25c-1e168ff951ef","year":1903},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.142094Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:ab506eb0e3e03d5a4c35590ee6a754c7b8d45c51697abed9a1eae8a3431f6883","observation_id":"296142f4-053a-4e64-b0a9-606ccfc41be2","resolution":{"observed_at":"2026-08-10T22:29:46.243939Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.227972Z","title":"Certified real-time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced-basis a posteriori error bounds,","venue":null,"work_id":"5a4341d0-5b58-4269-ad9f-c0fdc5f27e18","year":2005},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.145933Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:81ab4d106122af140af21a942883befced4474f9925d670bdeb14add95374306","observation_id":"e0e99101-8381-4b1b-ac2f-915f2da16411","resolution":{"observed_at":"2026-08-10T22:29:46.232465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.214442Z","title":"A space-time Petrov-Galerkin certified reduced basis method: application to the Boussinesq equations,","venue":null,"work_id":"8aa41a0d-e530-441d-9db0-047177463238","year":2014},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.150313Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:db407a0cb7748cc49aef4ed58f3e0bea16caabc6a3d330b4d54bce7b8826ad6a","observation_id":"de8185b5-4c14-4dc7-8f87-1d3cd3b8ee76","resolution":{"observed_at":"2026-08-10T22:29:46.219355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.201074Z","title":null,"venue":null,"work_id":"561d22b5-d789-4b16-85ac-99ddbb3cc543","year":2022},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.153997Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:9a37fc0ae3772b3652b9eeb42a0ea22ad6f6f59cdf8b9d170b35467a9b1f95e9","observation_id":"0cc20f46-1b04-46ab-a0f5-18c2c5d249f3","resolution":{"observed_at":"2026-08-10T22:29:46.205693Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-10T22:29:46.185988Z","title":"Aluminum 3003-F (UNS A93003)","venue":null,"work_id":"ba1af510-dc9e-4ea1-9beb-e358b6d09e80","year":2024},"citing_paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T22:29:46.157511Z"},"links":{"citing_paper":"/paper/2501.01621"},"observation_digest":"sha256:2a4dd30344b348e588f9b5a417bfbe6377c0f1418920f71195463fbf203b90aa","observation_id":"ef97890e-cf7b-4d66-9529-e69d4624bad8","resolution":{"observed_at":"2026-08-10T22:29:46.191352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.01621","last_updated":"2025-01-03T03:29:47Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-12T18:32:54.494125Z","submitted_at":"2025-01-03T03:29:47Z","title":"A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems"},"reference_resolution":{"displayed":49,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":45},"total_outbound_references":49},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2501.01621."}