{"as_of":"2026-08-11T13:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fb15fd58b07740da1a72540d312e7969468d06acb8fe56be848049823812dcf7","coverage":[{"denominator":54,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":54,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T11:49:14.945653Z","state":"measured"},{"denominator":54,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":54,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2509.02237/citation-record","integrity":"/paper/2509.02237/integrity","json":"/paper/2509.02237/citation-record.json","paper":"/paper/2509.02237"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:49:24.316251Z","title":"An introduction to the proper orthogonal decomposition","venue":null,"work_id":"32d78ed7-577d-4947-88b9-9ade96ebf7d1","year":2000},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.090012Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:cb84860a819383e29ec93294b7c5273fde9e249554c726f9eb552fa2ba4b2d40","observation_id":"78314137-0354-498e-81ef-f8859994b5dd","resolution":{"observed_at":"2026-08-05T11:49:24.398326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:24.080801Z","title":"Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: Error estimates and suboptimal control","venue":null,"work_id":"69000a51-ee78-470f-bdc4-a926ae02cf75","year":2005},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.179412Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:5168a098083ac86dd0e1d761abb1653586c11eeb944575fb1d5a665954f1bcae","observation_id":"57814713-a482-43d6-8743-fffc6fc7bffa","resolution":{"observed_at":"2026-08-05T11:49:24.210296Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:23.887302Z","title":"Vakakis, and Lawrence A","venue":null,"work_id":"b14399c6-99c1-42da-aec9-6afa863fa1ef","year":2005},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.252452Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:b2b1f79ddc955e4aee4ff779fae0a2d8164e98eba873c64cffa9cd34b0989da8","observation_id":"901bc841-2452-40a3-a7cc-d3a10e9fc00f","resolution":{"observed_at":"2026-08-05T11:49:23.984293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:23.649114Z","title":"The applications of pod method in dual rotor-bearing systems with coupling misalignment.Mechanical Systems and Signal Processing, 150:107236, 2021","venue":null,"work_id":"3996095d-b4c5-4f91-a0ea-4ffbd30c29df","year":2021},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.317749Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:d4148e07388a2da6d01566dbdba0e118c9d35924c413dc0cda34c32a62ff3308","observation_id":"5a82e292-b852-44b5-a348-a8e3ca2584f9","resolution":{"observed_at":"2026-08-05T11:49:23.777029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:23.390183Z","title":"Berkooz, P","venue":null,"work_id":"69cfcd46-48f0-453a-8966-492b58add9e4","year":1993},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.424946Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:a1d7d55a219f3a825ea281b1cd0b326259b5efe8fe40c291c2b39756ecc09e3e","observation_id":"bc36ea10-3272-4b35-9292-71b5cda4ee38","resolution":{"observed_at":"2026-08-05T11:49:23.529700Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:23.106527Z","title":"Smith, Jeff Moehlis, and Philip Holmes","venue":null,"work_id":"53a3772d-3bcb-43c9-849a-ef1b38e03198","year":2005},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.502724Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:e74df80717ea32b15d97bf4447dc7e22d91fedf3f88db15f6287ade245971842","observation_id":"5caab325-cf04-4a10-9e11-63e776dab065","resolution":{"observed_at":"2026-08-05T11:49:23.227345Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:22.914620Z","title":"Data-driven pod-galerkin reduced order model for turbulent flows","venue":null,"work_id":"d2c48edd-3653-470b-b7c1-01e23b47a31f","year":2020},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.590129Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:8043663f21372914484c8542b0351ea2a058cd24422adb5c7152c85318ae36b5","observation_id":"e4598bd2-618c-4246-a99d-fdac6ac5eefb","resolution":{"observed_at":"2026-08-05T11:49:23.008386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:22.718260Z","title":"Proper orthogonal decomposition-based modeling, analysis, and simulation of dynamic wind load effects on structures","venue":null,"work_id":"747309d4-9ef1-4a9b-a2c2-4f013057ba92","year":2005},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.666828Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:cc8bbef6f37d30600456261a388bd6fd4bf40b67d1de2fa0b5c63bb473a98227","observation_id":"e8843ecf-f94d-4636-8d63-ea079c8cc239","resolution":{"observed_at":"2026-08-05T11:49:22.795635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:22.380704Z","title":"A comparison of projection-based model reduction concepts in the context of nonlinear biomechanics","venue":null,"work_id":"fb70416d-bae1-4e68-b93f-6fc49516f339","year":2013},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.740543Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:9bd922d8c1b83db8a71b7ecc21388814d559b672d134cba055a1b466c325a51f","observation_id":"64d9df19-a5fe-461b-8c50-3fe9706fd2b4","resolution":{"observed_at":"2026-08-05T11:49:22.555929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:22.122781Z","title":"An adaptive model order reduction technique for parameter-dependent modular structures","venue":null,"work_id":"e6241b8d-e7c7-4812-9503-bc9d8de72374","year":2024},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.797696Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:1fd7d6352f61810589d18f811048e554588f6fb366ed3c89a0983d7ddee0bfc7","observation_id":"a75808a0-fe3c-4576-8d81-04fcfa13629c","resolution":{"observed_at":"2026-08-05T11:49:22.259817Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:21.844920Z","title":"Component-based model-order reduction with mortar tied contact for nonlinear quasi-static mechanical problems","venue":null,"work_id":"0c970144-dfed-4e83-9703-24b4a4b03155","year":2025},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.868335Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:1df5c907f9acc19c9dcd5a9765beeb16a591cd5695103c17a9dd63310b4bb173","observation_id":"33f30fea-79b9-4a07-8e60-b3faab2b0d5b","resolution":{"observed_at":"2026-08-05T11:49:21.972046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:21.584198Z","title":"Ryckelynck","venue":null,"work_id":"339f8e91-3d93-4550-8203-396c1664d9ab","year":2005},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:11.949518Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:e5c810606ebb06bd118497ed5aea068f34ac3961f9bc5da5713af5ab80b9af5f","observation_id":"af019323-ceaa-4d8a-947d-ce1311e0e395","resolution":{"observed_at":"2026-08-05T11:49:21.731460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:21.412596Z","title":"Ryckelynck","venue":null,"work_id":"d28f7262-a067-47b5-8e16-326156b37d54","year":2009},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.029985Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:47fca39f5b2c52002f8cba845f5248fbc4da65260b1e32705aa670249904a308","observation_id":"9bfa0bcc-b7d5-4664-a342-65b6e1523f83","resolution":{"observed_at":"2026-08-05T11:49:21.469449Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:21.257038Z","title":"Miled, D","venue":null,"work_id":"7b426f15-ecbe-4cd7-900a-e6055654f29d","year":2013},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.105037Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:7a629cf695109458b9a41c02179aa303e7f2042eb269aa8d6513c4592f2a149b","observation_id":"7aa375d7-e953-4cb4-bad0-fe70c388af66","resolution":{"observed_at":"2026-08-05T11:49:21.321452Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:21.061347Z","title":"Sorensen","venue":null,"work_id":"0af536f0-55ce-4b14-9e78-e3bfa6b45c76","year":2010},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.184665Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:79ee523602caf4aa848facaec449f99758383e71e3de07a3eaa573a7c0290f2b","observation_id":"6a642510-ea1c-437a-ab26-8bf7d7ff5366","resolution":{"observed_at":"2026-08-05T11:49:21.129976Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:20.868910Z","title":"Pod-based model reduction with empirical interpolation applied to nonlinear elasticity","venue":null,"work_id":"f432167f-ed03-41c4-aa3c-9a8fbdecd328","year":2016},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.247935Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:7460f0dcbddf2e56778a61aa0afff102c56a08877af9adee8266e126b0aefbb0","observation_id":"1c5a78bf-c2be-4cea-99b3-a0db5278d6f8","resolution":{"observed_at":"2026-08-05T11:49:20.978762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:20.689601Z","title":"An, Theodore Kim, and Doug L","venue":null,"work_id":"f00a6de4-667f-4580-b7f5-d1061a436e3f","year":2008},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.299276Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:a7442d1748dd5bb5cf8c063adcb66e52e3b0d43c21f43a66d539f8c2ddceaa9e","observation_id":"e404018f-af0d-4071-9ecb-43d0076e779a","resolution":{"observed_at":"2026-08-05T11:49:20.790617Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:20.541813Z","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":"e51965fa-c308-4338-9b81-5bf4465094b3","year":2014},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.396846Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:97e631167d785b9ec368ee1757290d90b092ba1979c99b6f5dd8514ad1c67469","observation_id":"9cedf153-1717-410e-a64b-fcd30d152fc8","resolution":{"observed_at":"2026-08-05T11:49:20.607473Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:20.379019Z","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":"7de5cf6c-a31c-44d4-bc93-bcaeff5e5c82","year":2015},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.456811Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:03b9288a071fbb591edfd6414b998a9006d8950bb2fdbb2a1e3557d59cc02efe","observation_id":"7fffb520-469b-4cd0-9f4d-d12c0e49207c","resolution":{"observed_at":"2026-08-05T11:49:20.458324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:20.188810Z","title":null,"venue":null,"work_id":"80ae1342-74ba-4b63-a81a-07f714b0b26e","year":2024},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.532020Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:6d9a996fd302bebcf89a3eb17d501b5d4a51c20cab32244d3fac035e37e3bc9d","observation_id":"87e10474-8c71-4ea5-a347-601e979397b0","resolution":{"observed_at":"2026-08-05T11:49:20.263753Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:20.021679Z","title":null,"venue":null,"work_id":"4eeacd07-cd66-4f34-9333-b3a26e4938f1","year":2017},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.614379Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:186195c57e81c3b08178a11954d0a2fff5e92f400f582c6cc2ffa618aa6148dd","observation_id":"6f0c4076-4777-49b3-a5f8-e3e3974f9e8e","resolution":{"observed_at":"2026-08-05T11:49:20.083241Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:19.858137Z","title":"Bravo, S","venue":null,"work_id":"beeaede3-055d-4aa6-a00c-058666bd778b","year":2023},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.678216Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:6ca2643e3ba47b7c33fb1440ba8cbde71239fbab36ef536be0c74dd9cf40d8db","observation_id":"509e7b2d-0920-4dab-8ce8-8049b147c02c","resolution":{"observed_at":"2026-08-05T11:49:19.941481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:19.670423Z","title":"Hernández, J.R","venue":null,"work_id":"e903890c-d57d-4b4d-a010-6fa90e0fa2da","year":2024},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.736296Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:40e9085dcacb4eb3265f1dfdf9346a104b9d6108b5adcdac0d120d34835eb9f1","observation_id":"e95be72d-4a82-44a0-bd10-0f9646caecdb","resolution":{"observed_at":"2026-08-05T11:49:19.768077Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:19.496623Z","title":null,"venue":null,"work_id":"ce4e24e0-7b71-4756-9029-91d977f27244","year":2015},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.817164Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:5cd3d0a2826f33b8ee84161b77bdc3a7c02572d5b89c8619de38c1e468c7dbc2","observation_id":"56eaf386-f0a5-415b-92fb-0a004a5285b3","resolution":{"observed_at":"2026-08-05T11:49:19.556502Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:12.888040Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.888040Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:2a061adc69173c27f3fb5e1edeeb8f2d00567c332d7efb143a3f62c897f43f97","observation_id":"93ac134d-84b5-42b8-b7a7-484e8689cca4","resolution":{"observed_at":"2026-08-05T11:49:12.888040Z","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":"2026-08-05T11:49:19.320559Z","title":"Hesthaven, and Deep Ray","venue":null,"work_id":"d67b5db1-7f55-4590-814c-fe2a8ef2261e","year":2019},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:12.960717Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:fb4612ffcc958b5663435296d2a9f0f56d598b8edcdf8f73b5d025f9baf2e50c","observation_id":"62b24945-1d2a-49cb-99d2-1b4b360afc94","resolution":{"observed_at":"2026-08-05T11:49:19.397967Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:19.165612Z","title":"Projection-based model reduction: Formulations for physics-based machine learning","venue":null,"work_id":"42f48758-af35-459a-bff8-5d6cef1e1703","year":2019},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.041580Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:9bd2b467a1c2485acb4cac50897388051ca6dca9741daafe8621d580a22fe811","observation_id":"a037f529-f8eb-467d-b314-a85c466f9870","resolution":{"observed_at":"2026-08-05T11:49:19.216136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:19.025511Z","title":"A nonintrusive nonlinear model reduction method for structural dynamical problems based on machine learning","venue":null,"work_id":"46eabe8b-c202-4e3d-8096-c40c5a9928f2","year":2021},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.108392Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:9aec8d332c4d0eeaa865d146dca1ae3247cccd8b5a148bbe2d93735ba56e7bad","observation_id":"50209607-8fe3-48f6-8336-0255ec1ee904","resolution":{"observed_at":"2026-08-05T11:49:19.095704Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:18.871418Z","title":"Salvador, L","venue":null,"work_id":"bd207fcb-78d5-4cb3-98f3-57a2815d60c5","year":2021},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.171617Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:b4cf82984a64c92d50ec9692d9abf82799c6a6ef25d58f091ea0af738ed392c0","observation_id":"f5cb8154-7afb-455b-b86f-9b9071d6a705","resolution":{"observed_at":"2026-08-05T11:49:18.942532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:13.248077Z","title":"Testing the manifold hypothesis","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.248077Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:cc356b13f55ff4eccf06b7d25db091576fdd2894d07b49c31ec46ccf64dbad3f","observation_id":"4ed6eb49-8325-45a0-9727-0c90a53b572d","resolution":{"observed_at":"2026-08-05T11:49:13.248077Z","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":"2026-08-05T11:49:18.730165Z","title":"Bourlard and Y","venue":null,"work_id":"77723eeb-ecc7-4325-8016-effdb4b71a6e","year":1988},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.307508Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:242add27368b20353e4a0c37ef98d7d5c81f9188da1818fe17ad2aa782b951bb","observation_id":"f67889eb-e2f9-4476-9fc2-278dd3f16de0","resolution":{"observed_at":"2026-08-05T11:49:18.791819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:18.597415Z","title":"Neural networks and principal component analysis: Learning from examples without local minima","venue":null,"work_id":"ea42b11b-c5ba-424c-b207-2ac11f01efd3","year":1989},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.375607Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:2372b4ad6d2bf3906e0ab74ef13b0b717ec39a80608517d7285e2816fb1d0ba6","observation_id":"62cbf6bd-3109-4643-992e-ef2de7e3e04f","resolution":{"observed_at":"2026-08-05T11:49:18.653358Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:18.441908Z","title":"From principal subspaces to principal components with linear autoencoders, 2018","venue":null,"work_id":"a8ca45a5-3520-4669-bf64-f20429eec1ab","year":2018},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.452449Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:61ba6c741400a20493d41ed04614c674c8e6af9d6ccb499559abafc69e284197","observation_id":"58895657-a3b8-45d6-bc68-19fcc3ad2da1","resolution":{"observed_at":"2026-08-05T11:49:18.523924Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:18.256263Z","title":"Gonzalez and Maciej Balajewicz","venue":null,"work_id":"5c838395-63fb-4959-9d10-2198c98b609a","year":2018},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.526443Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:e5a74a71d8e5eac908c91a75a391bcd4711ac5c7fd733c0bd03634e85fee7bcf","observation_id":"b4aea00d-64ad-4a44-90bd-13e6fcfa366f","resolution":{"observed_at":"2026-08-05T11:49:18.334525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:18.087725Z","title":"Deep learning of thermodynamics-aware reduced-order models from data","venue":null,"work_id":"e648ce1a-8fe9-4142-b0db-284901207341","year":2021},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.581854Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:8f88c0049e5e03df56538b4e1a67bae6e220cc651f0c73b374807b58db58b18d","observation_id":"42487470-839b-4ea3-96b7-17e7b6d6e626","resolution":{"observed_at":"2026-08-05T11:49:18.167577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:17.926145Z","title":"A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs","venue":null,"work_id":"0e05ad87-5941-4d27-86b2-eba4551078a9","year":2021},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.647108Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:9b044b7bd11b3e1755c1de1a0459342714b7582aa95865fbc0c1d227ee2578c0","observation_id":"c44a50ef-fb32-4d7c-8115-c4f00584726c","resolution":{"observed_at":"2026-08-05T11:49:18.000956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:17.764729Z","title":"Machine learning approach to model order reduction of nonlinear systems via autoencoder and lstm networks","venue":null,"work_id":"11c7cc5f-bb1f-414b-b9f4-4113d8e35b7f","year":2021},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.721393Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:f64ccd56a8f1fc24101e0b68fbdc6cc90f6bf5aa5540933e2a7a198e3bf6a55c","observation_id":"14c4fd19-e89c-48f2-a90b-1a5e48839ecb","resolution":{"observed_at":"2026-08-05T11:49:17.840389Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:17.628673Z","title":"Dimensionality reduction through convolutional autoencoders for fracture patterns prediction","venue":null,"work_id":"6380946e-b764-49bc-9262-d0e1b3a494da","year":2023},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.797515Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:c4b2fa013f0eeeb42461a45c5c0628d93b698c307bf8c81cb9892612170aae90","observation_id":"1cd42227-e177-4d69-b017-1ff25b3a27d3","resolution":{"observed_at":"2026-08-05T11:49:17.681182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:17.470012Z","title":"Hesthaven","venue":null,"work_id":"b1442057-e172-4461-a583-7d0272b7cac4","year":2024},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.851255Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:ce347681311950c184689e28bc89f37d6864ea48d3a93a4aa08b10be47075fbe","observation_id":"abb663a1-97e2-4e06-873f-9163a104df84","resolution":{"observed_at":"2026-08-05T11:49:17.546044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:17.320397Z","title":"Fidkowski, and Kevin J","venue":null,"work_id":"7e77f16d-9591-4e09-bae2-8c634df6af2c","year":2022},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.910924Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:ec281d8a981fae69a8f0ce0c12245725a8dba96b2788fdf43d9930bb64a04247","observation_id":"0c9c4ff7-5d17-4dc1-88bf-ae3c8db80751","resolution":{"observed_at":"2026-08-05T11:49:17.390378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:17.163730Z","title":"Low-dimensional data-based surrogate model of a continuum-mechanical musculoskeletal system based on non-intrusive model order reduction","venue":null,"work_id":"dcca9995-9a49-4ddc-819e-7fed9e22ca8a","year":2023},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:13.985435Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:272d6e58096f64c346913490650d3c2161e62a37b3b98fefd45ea7312f7e11f6","observation_id":"b6dcb406-2729-42d6-b9d9-dd8e04bed48b","resolution":{"observed_at":"2026-08-05T11:49:17.224482Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:17.017886Z","title":"Bordas, and Jakub Lengiewicz","venue":null,"work_id":"9ceb70ca-9694-4410-a92a-0e1faa470d3e","year":2025},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.060125Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:c7100395f1367e7c761938453a421e8c050973cc8cdacf8661cea0ceede5f5ab","observation_id":"af10e83f-4ec5-4cc1-a77d-0a65a9d3aac1","resolution":{"observed_at":"2026-08-05T11:49:17.068807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:16.897999Z","title":"A length scale insensitive phase-field damage model for brittle fracture","venue":null,"work_id":"c00f0075-f0dc-4ef2-a0c0-f5262b4b1188","year":2018},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.130790Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:5201661d99dfbb941fe367df102385b8f15a92c54828e1b6643c344bc923b373","observation_id":"6ece0fbd-2a99-4e5e-b70f-45ce1440c400","resolution":{"observed_at":"2026-08-05T11:49:16.950972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:16.671047Z","title":"A multi- field decomposed model order reduction approach for thermo-mechanically coupled gradient-extended damage simulations","venue":null,"work_id":"91222358-f85f-4e16-9459-4eddc50c0fbc","year":2025},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.194739Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:47b34374a8f931f035cb03ba34571b5904df59c1de3905ef1a95c96eecef1d19","observation_id":"0294bcc8-4a18-4cc0-bec5-4907268a056f","resolution":{"observed_at":"2026-08-05T11:49:16.813455Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:16.472426Z","title":"Multi-field decomposed hyper-reduced order modeling of damage-plasticity simulations, 2025","venue":null,"work_id":"bf2bed62-8f13-47d6-bc8b-59d142dc0639","year":2025},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.284728Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:77806675ebc13aacb66b71f6cbfa7aa57a3aa820ee2fe828b963228fbf3a5ac3","observation_id":"f7342f9a-d99a-4360-98c0-2dd6c66405e5","resolution":{"observed_at":"2026-08-05T11:49:16.535535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:16.194408Z","title":"Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility","venue":null,"work_id":"95b241f0-278c-4a0e-a4f3-92114c8dafd5","year":2003},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.364912Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:8df584b751d186d3fa782a6632218ec7b7ed2fe995f807687dd2285086a712aa","observation_id":"0dcf1ac6-85f0-493d-9ae0-8c1053f1d878","resolution":{"observed_at":"2026-08-05T11:49:16.347071Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:16.025041Z","title":null,"venue":null,"work_id":"8ca017f1-9795-4128-80f0-74b7f978b7d2","year":1996},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.444852Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:f6e552c3e4f94e05b16d5817ea31c03ef252e52dd026ace01ea64bbf0d9ac271","observation_id":"26038b61-ac54-49b4-b67e-f95d92b0a890","resolution":{"observed_at":"2026-08-05T11:49:16.084789Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:14.535314Z","title":"Gaussian error linear units (gelus), 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.535314Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:34f9c7fa0e43bc99eb142cd363c70c729aad6b22f5f232ae1424931404a77f86","observation_id":"f71588e8-0de6-4795-a2f4-3713bfb225fd","resolution":{"observed_at":"2026-08-05T11:49:14.535314Z","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":"2026-08-05T11:49:15.830987Z","title":"ParaView: An end-user tool for large data visualization","venue":null,"work_id":"4e7f54ee-6eed-4986-a69f-37b611187a9c","year":2005},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.615758Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:d2e71cce7c967401a18010e93db6d40fd200fea82ebaa5c1f679f98960b153f6","observation_id":"5b090d82-e724-41c2-9100-e974284b3742","resolution":{"observed_at":"2026-08-05T11:49:15.903005Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:15.673117Z","title":"Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions","venue":null,"work_id":"154bc5a6-66ed-4d31-91da-5ac70c842d11","year":2003},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.694986Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:4d1c2ab392f06d583ab7960e091163c3b3aa4bd08f80e4999f91f053419c854e","observation_id":"d7d60665-5999-44cc-af6b-62524a414e74","resolution":{"observed_at":"2026-08-05T11:49:15.756472Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:15.557814Z","title":"On the stability of POD basis interpolation on grassmann manifolds for parametric model order reduction","venue":null,"work_id":"1d7d7e45-e1ba-4744-9df1-80e9cfe4dea3","year":2022},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.769486Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:1ccf9b8a9d357322fa75e28504204460f8315542a12e0bceedc47c6c821c31a6","observation_id":"ef3fa2c5-91fb-46c4-9505-7730982616b5","resolution":{"observed_at":"2026-08-05T11:49:15.605467Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:15.379740Z","title":"On finite thermal deformations","venue":null,"work_id":"804021c3-6fa6-4fee-85ce-7512892654af","year":1964},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.822713Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:476d8309f89612b2c40555bd18c1287cad4772f5e91b1bc406f84b67374849a8","observation_id":"a7495fdd-cd35-4bab-ba1c-fd1e89c41e1f","resolution":{"observed_at":"2026-08-05T11:49:15.451006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:15.239158Z","title":"Finite-strain thermoelasticity based on multiplicative decomposition of deformation gradient","venue":null,"work_id":"dab782d1-aa9b-4e4e-92bf-02a54f759586","year":2002},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.887475Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:272686a27128725863c74b848e3285c8c372897215fd84ea70363c4ce737ed5a","observation_id":"7d1ecd13-f67c-4bec-b13c-4c8ddb2642dc","resolution":{"observed_at":"2026-08-05T11:49:15.310060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:49:15.065078Z","title":"Felder, N","venue":null,"work_id":"0e6069f3-63fe-4887-9e21-a94343f5eee2","year":2022},"citing_paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-05T11:49:14.945653Z"},"links":{"citing_paper":"/paper/2509.02237"},"observation_digest":"sha256:a9e9155e32d23a7ab352806fb8ed932eb3b8db42c9e6bd5308468b6374180ae4","observation_id":"277f7db3-a026-412a-969d-99fa646f5c39","resolution":{"observed_at":"2026-08-05T11:49:15.139446Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.02237","last_updated":"2025-09-02T12:05:00Z","latest_version":1,"primary_category":"cs.CE","snapshot_observed_at":"2026-08-05T11:49:09.465308Z","submitted_at":"2025-09-02T12:05:00Z","title":"Autoencoder-based non-intrusive model order reduction in continuum mechanics"},"reference_resolution":{"displayed":54,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":0,"verified_fuzzy":47},"total_outbound_references":54},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2509.02237."}