{"as_of":"2026-08-18T16:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:17a966288c05ce3b2fb535a5a257e026746ee75b98ae51e7d620f1a13eb8b6d4","coverage":[{"denominator":33,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":33,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T11:55:45.714456Z","state":"measured"},{"denominator":33,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":33,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2504.14338/citation-record","integrity":"/paper/2504.14338/integrity","json":"/paper/2504.14338/citation-record.json","paper":"/paper/2504.14338"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2025.10961","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:46.672731Z","title":"Distributed computing for physics-based data-driven reduced modeling at scale: Application to a rotating detonation rocket engine,","venue":null,"work_id":"a9d9ac29-e7d2-406d-8b96-85026bf10b85","year":2025},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.552442Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:55f993b3853268f36ad5f14171561a0aaeb71857095051a43e35210dc3796a01","observation_id":"5401e8f3-eaaf-4686-bda6-678defe8b36c","resolution":{"observed_at":"2026-08-16T11:55:46.682076Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T11:55:45.558708Z","title":"Data-drivenoperatorinferencefornonintrusiveprojection-basedmodelreduction,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.558708Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:09ff015ba8911fdcbcd7c1e9dc87d4e06a081d593c9779a68028c5857a017fbe","observation_id":"9dbaf09f-87f3-4096-a915-6eef93617984","resolution":{"observed_at":"2026-08-16T11:55:45.558708Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-16T11:55:46.778498Z","title":"Learning Nonlinear Reduced Models from Data with Operator Inference,","venue":null,"work_id":"3914aa03-5b08-45dc-adb9-787de3991bf9","year":2024},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.563943Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:c572831a22c0293ae7f7333de71298ec7ce55e0ad70622179cdd2d857648321d","observation_id":"a47ebf5f-8e12-4d7c-9eaa-1c631f3630ac","resolution":{"observed_at":"2026-08-16T11:55:46.783662Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T11:55:46.762220Z","title":"Turbulenceandthedynamicsofcoherentstructuresparti: Coherentstructures,","venue":null,"work_id":"8c916e96-2697-4886-a839-19bbd61f843f","year":1987},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.569564Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:9c3941ef613f98a86f7305c7f8ad68e11ecbc5895cff61b6fa6d4e04acfbd3b2","observation_id":"684e785b-4cbe-4d2f-97fe-39249ae140cb","resolution":{"observed_at":"2026-08-16T11:55:46.767300Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2006.37764","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:46.598017Z","title":"A Domain Decomposition Approach to POD,","venue":null,"work_id":"b304331b-7f0f-41e5-955d-f58e03c9eaec","year":2006},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.574611Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:c1a694af7e6c4feb4702d73a35b4f42ac8b3943cf54305656a7b0a197b5a0dca","observation_id":"800bb3c1-932e-4676-9215-46b599626a32","resolution":{"observed_at":"2026-08-16T11:55:46.605752Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T11:55:45.579552Z","title":"Approximate partitioned method of snapshots for POD,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.579552Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:9312dd954c6c0bce68bb5cb1949686b95a6de71ad9baed0bad7f9d9138be9378","observation_id":"dbba3ce5-2912-4f6a-b8fb-099ea6b1c2d1","resolution":{"observed_at":"2026-08-16T11:55:45.579552Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.585221Z","title":"High-Performance SVD Partial Spectrum Computation,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.585221Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:560bbe6b53f96432b3fd49f89f33c0eba471dad8559e98661d2b5144e19097bd","observation_id":"b3c0ae27-cb62-48a8-b3aa-2ba5a8f03ba3","resolution":{"observed_at":"2026-08-16T11:55:45.585221Z","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":"2026-08-16T11:55:46.744546Z","title":"Communication-optimal Parallel and Sequential QR and LU Factorizations,","venue":null,"work_id":"a9f65fce-608a-4d83-a7fb-06ac6a8f07ff","year":2012},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.590165Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:81aa9096e8d0e9d852b9e303b99d17d6a8307d5a0c0b6cbc1141524f44f87155","observation_id":"fc86b55e-f84f-40bd-9654-387e147ca39f","resolution":{"observed_at":"2026-08-16T11:55:46.750559Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2013.66915","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:46.463605Z","title":"DirectQRfactorizationsfortall-and-skinnymatricesinMapReducearchitectures,","venue":null,"work_id":"19e9839e-05d9-4be5-bc6e-34b1f67900ce","year":2013},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.594730Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:afdeede244c3fc9549a303ac5070b2cc0b88c41807c93ace9be26ec1115b687d","observation_id":"a58b2f40-36c0-46f8-ba5e-f786cbe566a6","resolution":{"observed_at":"2026-08-16T11:55:46.471589Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00162-016-0385-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-18T11:03:46.223893Z","title":"Parallel data-driven decomposition algorithm for large-scale datasets: with application to transitional boundary layers,","venue":"Theoretical and Computational Fluid Dynamics","work_id":"a17447db-8f08-4035-995c-37a864459678","year":2016},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.599619Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:619e380a82d4970c28bd11f452d84071c6712b723013e53d3d39e46edd023523","observation_id":"d026a015-0e8a-493b-af2e-458d11bf3c96","resolution":{"observed_at":"2026-08-16T11:55:45.910469Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T11:55:45.604573Z","title":"Dynamic mode decomposition of numerical and experimental data,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.604573Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:ff42587b148d44a7c73f3c3b305c75cbc1b4535eae61631ba0c7df485b3d961f","observation_id":"bb12249c-7a51-4062-a4dc-09517c5a3ab3","resolution":{"observed_at":"2026-08-16T11:55:45.604573Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.610280Z","title":"N., Brunton, S","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.610280Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:c439b2795442d0aa3d09de14261660ae927c328d85016cbaa30a157dff4c7437","observation_id":"e31b96aa-d13b-4bb2-b067-468963636ed6","resolution":{"observed_at":"2026-08-16T11:55:45.610280Z","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":"2026-08-16T11:55:46.727009Z","title":"On dynamic mode decomposition: Theory and applications,","venue":null,"work_id":"854dbf23-3e9e-4f93-8c43-4e9dbe136280","year":2014},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.615495Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:fd24028f4390a4129a139b3538a062df3d31b8d8cb9d59a1d3088af32ff27025","observation_id":"9ed94e73-5e4f-4402-8718-a559cb31b169","resolution":{"observed_at":"2026-08-16T11:55:46.732409Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2172/918383","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.865496Z","title":"An overview of Trilinos,","venue":null,"work_id":"f9ca1f32-509c-4cc1-b71b-8899985bbc15","year":2003},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.620379Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:5f2607095d55437dd060de8a5dada749e0b24351b776d8b90fd7734c26f2cdc0","observation_id":"369593f4-6b4b-403d-89f8-f435fa56ce43","resolution":{"observed_at":"2026-08-16T11:55:45.870638Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1998.72342","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:46.394862Z","title":"Sequential Karhunen-Loeve basis extraction and its application to images,","venue":null,"work_id":"cf432d06-a80a-4485-9d6b-12b5974c1a2c","year":1998},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.625414Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:564a07ba8ecd326e65935605a7f191d22ad1de47de07ecf8265b352b9ce33aa1","observation_id":"ad66dfe0-fe1d-4764-a8aa-886297e32050","resolution":{"observed_at":"2026-08-16T11:55:46.403534Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.02703","last_updated":"2024-09-04T13:40:45Z","snapshot_observed_at":"2026-08-16T13:21:24.870211Z","submitted_at":"2024-09-04T13:40:45Z","title":"Online learning of quadratic manifolds from streaming data for nonlinear dimensionality reduction and nonlinear model reduction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.02703","snapshot_observed_at":"2026-08-16T11:55:45.630000Z","title":"Online learning of quadratic manifolds from streaming data for nonlinear dimensionality reduction and nonlinear model reduction,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.630000Z"},"links":{"cited_paper":"/paper/2409.02703","citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:a08cfdddc51f9a15aab70f960490cb3cbba3bbaddd8b69d3dfc6139414f60e3a","observation_id":"0347977f-8d3c-45d1-9463-a637095494ef","resolution":{"observed_at":"2026-08-16T11:55:45.630000Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.635114Z","title":"J., Copeland, D","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.635114Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:75b9a1b3dcc3c326384e2e77ba26108b72fccd3fbe9f94ac60b3832ef2c980bd","observation_id":"1afff4b3-9bbd-46a7-84ca-20ad64cac12c","resolution":{"observed_at":"2026-08-16T11:55:45.635114Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.07798","last_updated":"2021-09-01T07:17:29Z","snapshot_observed_at":"2026-08-10T21:42:44.283703Z","submitted_at":"2020-03-17T16:25:10Z","title":"Pressio: Enabling projection-based model reduction for large-scale nonlinear dynamical systems","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.07798","snapshot_observed_at":"2026-08-16T11:55:45.640219Z","title":"Pressio: Enabling projection-based model reduction for large-scale nonlinear dynamical systems,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.640219Z"},"links":{"cited_paper":"/paper/2003.07798","citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:11dbf3ba583610418216a93b1ea04ae702ef2072ae2e8d37510bcedd70abbfb9","observation_id":"c8fef913-b543-463f-8010-0b2153621719","resolution":{"observed_at":"2026-08-16T11:55:45.640219Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.645304Z","title":"pyMOR – Generic Algorithms and Interfaces for Model Order Reduction,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.645304Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:6e614142d16bf28259f1acae565bece806e0f8dfe5f435adfeee73f819532501","observation_id":"692a03c0-0898-4c29-aa1d-fad23736c7aa","resolution":{"observed_at":"2026-08-16T11:55:45.645304Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.650483Z","title":"Unlocking massively parallel spectral proper orthogonal decompositions in the PySPOD package,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.650483Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:7be6913b00b21d2b65bdbc95420f4565ce173c5b51a19d9f058ebc374ff3ad4b","observation_id":"3baa1c3b-696b-4ba5-8d24-fcf3c2446ef2","resolution":{"observed_at":"2026-08-16T11:55:45.650483Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.655330Z","title":"Operator inference for non-intrusive model reduction with quadratic manifolds,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.655330Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:42aaa38804344c0c4a68cfa80ed87311f7ade3a6254c6b879dd09d464289fc72","observation_id":"9398aa4a-f8de-474a-ab21-118efeebef00","resolution":{"observed_at":"2026-08-16T11:55:45.655330Z","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":"2026-08-16T11:55:46.709490Z","title":"Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection- based model order reduction,","venue":null,"work_id":"e6a19eed-1ef0-45ba-9444-cf710a2069dc","year":2022},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.660301Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:602d4d33177b3d639b3bc89e37e9e69e13f2af39b11fab970949bb4ef398fd32","observation_id":"dc4cc4bb-80b5-4216-b032-aab7e3d99ffa","resolution":{"observed_at":"2026-08-16T11:55:46.715370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T11:55:45.665340Z","title":"A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.665340Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:9fd98d2811a264bcd9e9e801157b26e1f49926b06810e7778b889137a55f4fc4","observation_id":"5906f0e8-7348-472d-9ae3-9ba3a844c6c3","resolution":{"observed_at":"2026-08-16T11:55:45.665340Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.670299Z","title":"Large-scale distributed linear algebra with tensor processing units,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.670299Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:871360a65fe251ddaf0402467ab04cc107745b18b7b4319f00f54c4404bd9251","observation_id":"f83da00a-5386-4c8c-8c12-e28a2c1063c0","resolution":{"observed_at":"2026-08-16T11:55:45.670299Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.675319Z","title":"Lift & Learn: Physics-informed machine learning for large- scale nonlinear dynamical systems,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.675319Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:64d34231751fcbd7e408c33c69474344d7a208b9564dc046a46bfed7214bfd80","observation_id":"8128f550-5b58-4fbb-a842-c71a9c029bab","resolution":{"observed_at":"2026-08-16T11:55:45.675319Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.680109Z","title":"Learning Physics-Based Reduced-Order Models for a Single-Injector Combustion Process,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.680109Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:810402a621797b8ad96346d60399b671e9732a4d0a2a59df451b827f2b24af83","observation_id":"58b6aa73-de3f-40d9-8a2f-3163621c4cbb","resolution":{"observed_at":"2026-08-16T11:55:45.680109Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.684930Z","title":"Data-driven reduced-order models via regularised Operator Inference for a single-injector combustion process,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.684930Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:c0542340cef5dc58276651fdd1340b5642262fcdb2b8489e000ec09a0815ef6a","observation_id":"11dbff41-031e-4323-8e20-2a49852dfead","resolution":{"observed_at":"2026-08-16T11:55:45.684930Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.690150Z","title":"Reduced Operator Inference for Nonlinear Partial Differential Equations,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.690150Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:faec375bc03c3fafba7897d4e3e10032ed2770d35ff3c09b451d62b5956359da","observation_id":"8888485c-3c94-4dc6-bf16-ad5bf7c8fd56","resolution":{"observed_at":"2026-08-16T11:55:45.690150Z","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":"2026-08-16T11:55:46.693294Z","title":"H., and Van Loan, C","venue":null,"work_id":"f15cef5d-0d0c-4e8b-a5a8-8f6aa8df0f9b","year":1996},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.695118Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:d835ff3863a1874366284297ff549e92c738dbd2b0b7d74e90bfd6160fd30253","observation_id":"16317b0b-128a-42bb-8bca-0f119adcaa44","resolution":{"observed_at":"2026-08-16T11:55:46.698268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-16T11:55:45.699740Z","title":"Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.699740Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:e5028adc0b69c266d39d753ce4bb60930342c2936525601cc2d6cc154d412f4f","observation_id":"955bb030-a43b-471e-bcd3-8979c3323aff","resolution":{"observed_at":"2026-08-16T11:55:45.699740Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.704529Z","title":"Fast low-rank modifications of the thin singular value decomposition,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.704529Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:7a6c4aa101cc6100e34d6fe4034597f51eee5d5125663dfb1dd62bbda30b1b01","observation_id":"97478e68-ef2b-45da-b157-22fbb9134194","resolution":{"observed_at":"2026-08-16T11:55:45.704529Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.709654Z","title":"The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows,","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.709654Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:017cd4ea1933ca61458df0c45cae102ed0f637efcec29c23f6fa996900b13753","observation_id":"21be142e-fc18-436f-8d1b-ee5b381323c8","resolution":{"observed_at":"2026-08-16T11:55:45.709654Z","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":"10.2514/6.2022-3487","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T11:55:45.746588Z","title":"On filtering in non-intrusive data-driven reduced-order modeling,","venue":null,"work_id":"63e3478f-9d54-44d3-9c1d-e454bb4b56e6","year":2022},"citing_paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-16T11:55:45.714456Z"},"links":{"citing_paper":"/paper/2504.14338"},"observation_digest":"sha256:b5d88110b9f8701d8ad60fe03bc7ad9d5f6698931024a0d64f6e3bda7ae86b81","observation_id":"a49b3f2d-60d2-413e-8293-05259a168465","resolution":{"observed_at":"2026-08-16T11:55:45.753741Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2504.14338","last_updated":"2025-04-19T16:09:16Z","latest_version":1,"primary_category":"cs.DC","snapshot_observed_at":"2026-08-16T11:48:58.814753Z","submitted_at":"2025-04-19T16:09:16Z","title":"A parallel implementation of reduced-order modeling of large-scale systems"},"reference_resolution":{"displayed":33,"state_counts":{"malformed_identifier":3,"metadata_mismatch":4,"parse_uncertain":0,"unresolved":19,"verified_exact":3,"verified_fuzzy":4},"total_outbound_references":33},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2504.14338."}