{"as_of":"2026-08-15T15:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:28f50c45c753a2c15ac70a90fd55bb640297da4fadab9c33caaf3385726d65fa","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T12:46:25.108689Z","state":"measured"},{"denominator":35,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":35,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T13:44:36.587015Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T13:59:52.707636Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.13992","snapshot_observed_at":"2026-08-12T13:44:36.587015Z","title":"Adaptive randomized pivoting for column subset selec- tion, deim, and low-rank approximation","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.15990","last_updated":"2025-08-19T18:11:34Z","snapshot_observed_at":"2026-08-13T01:45:18.416514Z","submitted_at":"2024-11-24T21:51:55Z","title":"Interpolatory dynamical low-rank approximation for the 3+3d Boltzmann-BGK equation","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T13:44:36.587015Z"},"links":{"cited_paper":"/paper/2412.13992","citing_paper":"/paper/2411.15990"},"observation_digest":"sha256:e028f4d1981cbdcc2e7203019490470a7cdf3ed5f66b1d18f1f1159eade47690","observation_id":"d7704d22-18a3-4c1e-bc44-4a7f923bba82","resolution":{"observed_at":"2026-08-12T13:44:36.587015Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.13992","snapshot_observed_at":"2026-08-07T20:37:52.293058Z","title":"Cortinovis and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.09823","last_updated":"2025-06-25T23:40:22Z","snapshot_observed_at":"2026-08-15T12:47:59.488441Z","submitted_at":"2025-02-13T23:39:40Z","title":"Compression Properties for large Toeplitz-like matrices","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T20:37:52.293058Z"},"links":{"cited_paper":"/paper/2412.13992","citing_paper":"/paper/2502.09823"},"observation_digest":"sha256:ad6733df6e94b219fdacd744e618560333504e84b451328ae5834e1ee08bdeda","observation_id":"e0f0a572-d7ef-4302-8430-453443685ad6","resolution":{"observed_at":"2026-08-07T20:37:52.293058Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"cited_work":{"arxiv_id":"2412.13992","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.13992","snapshot_observed_at":"2026-07-04T13:59:52.707636Z","title":"Cortinovis, D","venue":null,"work_id":"05ec1e2c-69c2-4375-a263-41f3a7e77e0f","year":2024},"citing_paper":{"arxiv_id":"2606.26688","last_updated":"2026-06-25T07:18:49Z","snapshot_observed_at":"2026-08-15T08:37:38.980500Z","submitted_at":"2026-06-25T07:18:49Z","title":"Adaptive Randomized Pivoting for Tensor Singular Value Decomposition Model","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-26T04:39:56.892348Z"},"links":{"cited_paper":"/paper/2412.13992","citing_paper":"/paper/2606.26688"},"observation_digest":"sha256:ba513af8cd476340d5b10c0c2d3df9f13ccc0464861aba9004ac06c66a79ba62","observation_id":"d42e0cc9-211d-428a-8810-53b2f01e08fb","resolution":{"observed_at":"2026-07-04T13:59:52.708985Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.13992/citation-record","integrity":"/paper/2412.13992/integrity","json":"/paper/2412.13992/citation-record.json","paper":"/paper/2412.13992"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:46:24.992593Z","title":"Barrault, Y","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:24.992593Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:8f71c4277b124d9d1a753babb635773fd86d5cf6ffef23846980a201cde5f026","observation_id":"2d2ff060-b375-460c-900b-d6dcc6604df6","resolution":{"observed_at":"2026-08-11T12:46:24.992593Z","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":"2026-08-11T12:46:25.535232Z","title":"Barthelme, N","venue":null,"work_id":"6fedfab8-f0ff-4346-971a-c37b5f40c743","year":2023},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:24.997145Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:51ef4476af2f87715b242929abc659d24fdcfb143f85f44fe706ca8e96202fdd","observation_id":"a69bfa0c-7e97-4c31-9905-9d5567be1934","resolution":{"observed_at":"2026-08-11T12:46:25.538978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T12:46:25.001095Z","title":"Bebendorf , Approximation of boundary element matrices , Numer","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.001095Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:aff8c8ae2b35e58d41c1635037b8f2802421bce0803e660e9ab232c6bd1ed743","observation_id":"14279690-0ea3-472f-855f-3f62fcb3e0d7","resolution":{"observed_at":"2026-08-11T12:46:25.001095Z","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":"2026-08-11T12:46:25.524431Z","title":"Belhadji, R","venue":null,"work_id":"a77aec46-45bc-4f63-9670-a4c7d8d4bfc9","year":2020},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.005092Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:531f7533241b6dc5d963a552a85e43e3bcb19a0a34d226755a0fc9cdbcc75f9f","observation_id":"d4ca502f-731e-47c2-b5d2-1ddf7901598d","resolution":{"observed_at":"2026-08-11T12:46:25.527943Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T12:46:25.514048Z","title":"Boutsidis, M","venue":null,"work_id":"5a2a691c-3a9a-47ee-9681-285e9fa79cb1","year":2009},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.008980Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:592af6b7314cc2f6bfc36d29b3eb50036966bb93b5040f27849266f2b73440c9","observation_id":"bb8daee3-1246-41e6-8088-61b9004b9fc6","resolution":{"observed_at":"2026-08-11T12:46:25.517542Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T12:46:25.013109Z","title":"Chaturantabut and D","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.013109Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:c4b7497f1406cf2fd177faa522fa969f8e7df4bedac2e824381b1806178d6ab7","observation_id":"439060c3-9868-4eb4-8dcb-dd446b94856f","resolution":{"observed_at":"2026-08-11T12:46:25.013109Z","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":"2026-08-11T12:46:25.017440Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.017440Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:54ba236fccf7726246b21b2981a30eabd4d60a4bcffc13ca007baddccc33fd3b","observation_id":"d14acfe3-97ec-49b8-b5e9-2b268e89944c","resolution":{"observed_at":"2026-08-11T12:46:25.017440Z","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":"10.1137/110852310","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:46:25.260723Z","title":"Chiu and L","venue":null,"work_id":"33e5b75d-3d89-4329-b6cb-be0469056565","year":2013},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.021517Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:72b9542df884dd03854aebeb25f4ecda5a503b5c45d5b48c63dcc87981e0117b","observation_id":"b43aacfd-f457-46f9-8888-376d6cf5e381","resolution":{"observed_at":"2026-08-11T12:46:25.264820Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/19m1281848","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:46:25.248990Z","title":"Cortinovis and D","venue":null,"work_id":"a1f76ab5-50c8-446c-8c28-c707adadd48e","year":2020},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.025404Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:1542d1b9f92e52d87170f8426ceeb1ec7181d95c972d6b8c4d4013c2341f5a66","observation_id":"123f3e0c-f974-404c-89b2-b21b89e41dbe","resolution":{"observed_at":"2026-08-11T12:46:25.252991Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T12:46:25.029276Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.029276Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:e5564fd9271a1bcf26c7206a14f9884daad5fe4d236651b12cf288f7a96683d5","observation_id":"c09641a5-bc03-4483-857a-87fd9a343da3","resolution":{"observed_at":"2026-08-11T12:46:25.029276Z","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":"2026-08-11T12:46:25.503182Z","title":"Deshpande and L","venue":null,"work_id":"a1c6f67b-8c9d-4638-8001-91172c65360d","year":2010},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.032621Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:3b6c9616b9e709fe004eacb7db8468e022089f33ab032191d4ee0cbf3b8abf82","observation_id":"878143ef-81cd-4781-b682-c5a7a675bbf3","resolution":{"observed_at":"2026-08-11T12:46:25.506919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4086/toc.2006.v002a012","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:46:25.236693Z","title":"Deshpande, L","venue":null,"work_id":"b84403e2-2f3d-41e2-8574-2186e9696c0e","year":2006},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.036405Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:ba14d4e0445dd52d8a3b784a80963ceeaaa4fcb718289a0d67693f2c25cddc1f","observation_id":"5f787c14-26e8-49ad-980d-ea7be8df04d0","resolution":{"observed_at":"2026-08-11T12:46:25.241469Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T12:46:25.040280Z","title":"Dong and P.-G","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.040280Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:41e0ae765000c25637e78494c2bc53ebdabbc54a6eb2eedb7f8a0d7a70209d39","observation_id":"3b1599a5-fe4c-4de8-98c6-923d060c9a6b","resolution":{"observed_at":"2026-08-11T12:46:25.040280Z","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":"2026-08-11T12:46:25.491986Z","title":"Drineas, M","venue":null,"work_id":"2dcbde7c-fe3f-48d6-b0a5-1c7ccfe5f44f","year":2006},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.043992Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:16bc0bb60e8c8c956da4a92ae6551ae93ec7ecde7534ac8aeb289f1173ba462a","observation_id":"9eec1fa0-b564-46ab-b2b7-9828712824f6","resolution":{"observed_at":"2026-08-11T12:46:25.495923Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T12:46:25.047540Z","title":"Drma ˇc and S","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.047540Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:21a121288e802a9cb27cb6377e5203b9a5c17503ce9ef17a7904e8315146dc2c","observation_id":"48e0503a-f04e-4bb2-a1e8-486de80e6f88","resolution":{"observed_at":"2026-08-11T12:46:25.047540Z","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":"2026-08-11T12:46:25.481658Z","title":null,"venue":null,"work_id":"736c709f-3c9a-4079-8bcc-3fd9e875bb88","year":2024},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.051018Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:ee506da0af298c10b6fbcb29991b11ee51c94ab366f3b325a1d91fa4168ec67b","observation_id":"e11087f4-0d11-4e9a-afff-4ad430cf974a","resolution":{"observed_at":"2026-08-11T12:46:25.485230Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.01698","last_updated":"2024-08-07T22:31:10Z","snapshot_observed_at":"2026-08-12T23:31:00.456251Z","submitted_at":"2024-07-01T18:10:19Z","title":"Column and row subset selection using nuclear scores: algorithms and theory for Nystr\\\"{o}m approximation, CUR decomposition, and graph Laplacian reduction","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.01698","snapshot_observed_at":"2026-08-11T12:46:25.054430Z","title":"Fornace and M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.054430Z"},"links":{"cited_paper":"/paper/2407.01698","citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:689e64829fb92166e76ad00992cdcce70e14bf1449d04af10a96a43d09b6b313","observation_id":"a3db56b4-cd1e-4a7c-b0fd-e46a53104e9b","resolution":{"observed_at":"2026-08-11T12:46:25.054430Z","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":"2026-08-11T12:46:25.058437Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.058437Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:abc494004512ac2c3cc7166bea9ea32a369fc5dc50767c3e9e246052e9e065a3","observation_id":"b483e662-7209-484e-9c91-13e97182a3f4","resolution":{"observed_at":"2026-08-11T12:46:25.058437Z","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":"2026-08-11T12:46:25.465507Z","title":null,"venue":null,"work_id":"0df0d41a-b84f-45b0-9969-9d6e76865a92","year":1997},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.062065Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:69ff53702b367a03c0d699e5d931d31792e3316db9d3bf274c681a3674d65123","observation_id":"8f907807-0638-4627-b8e2-646ab29d9222","resolution":{"observed_at":"2026-08-11T12:46:25.469168Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T12:46:25.065555Z","title":"Gu and S","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.065555Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:9a9020da647690150241fc4e6bafab02659775d00a39ecd2bdadeeb7d9b0186c","observation_id":"ca9e4c2d-0c66-47de-9688-d06bc0fb8ed0","resolution":{"observed_at":"2026-08-11T12:46:25.065555Z","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":"2026-08-11T12:46:25.455153Z","title":"Halko, P.-G","venue":null,"work_id":"c0ed2ff0-19dd-4437-abeb-2e354e43402e","year":2011},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.069199Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:226fe4a757d44b68413958b39fc98d1e36b2bf3f5981270a045ee4cc01d3029e","observation_id":"d8cb16f2-05a2-44da-a026-fe917ced2970","resolution":{"observed_at":"2026-08-11T12:46:25.458757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.apnum.2011.10","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:46:25.205974Z","title":"Harbrecht, M","venue":null,"work_id":"b209807a-a9a7-4cf6-8850-e7af7c91178b","year":2012},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.072822Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:b701cc8f30d5b43a05f63f14787c2e1023f0f6d3f2ea46fc4066391892350cce","observation_id":"82304cca-3f05-42be-8d17-c21ed02e99ff","resolution":{"observed_at":"2026-08-11T12:46:25.209952Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T12:46:25.076493Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.076493Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:ace37c17c8edb2473ac5fe8fec5c1ef4e47787e2b62d057faca66947f935d8a8","observation_id":"839b58b0-2b76-4195-bf3d-68f36bb419cb","resolution":{"observed_at":"2026-08-11T12:46:25.076493Z","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":"2026-08-11T12:46:25.080128Z","title":"Massei , Some algorithms for maximum volume and cross approximation of symmetric semidefinite matri- ces, BIT, 62 (2022), pp","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.080128Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:0bf053edd9c9e824f1f8e66fd7e8ef75cac601fd46f5a6ecb6242c1693c40215","observation_id":"045f2917-2b5d-4b60-8273-890cdbaade27","resolution":{"observed_at":"2026-08-11T12:46:25.080128Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.09068","last_updated":"2023-11-07T08:47:43Z","snapshot_observed_at":"2026-08-13T10:32:56.288889Z","submitted_at":"2023-08-17T15:54:41Z","title":"Close to optimal column approximations with a single SVD","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.09068","snapshot_observed_at":"2026-08-11T12:46:25.083700Z","title":"Osinsky , Close to optimal column approximations with a single SVD , arXiv preprint arXiv:2308.09068, (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.083700Z"},"links":{"cited_paper":"/paper/2308.09068","citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:b6a14fa8c18cec9b5766945d11532a347cfb0eb9ec990379e2efd93e976be1bb","observation_id":"8a7a5fd9-7733-4dc6-9f50-c9b5d936bb53","resolution":{"observed_at":"2026-08-11T12:46:25.083700Z","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":"2026-08-11T12:46:25.087434Z","title":"Peherstorfer, D","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.087434Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:a70170ee270141a8061a9c601efca93c0b4f6330b41bba0203a087de6cd08f5d","observation_id":"762634bd-5d91-463f-af7e-894def9b98b6","resolution":{"observed_at":"2026-08-11T12:46:25.087434Z","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":"10.1137/19m1243270","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:46:25.174640Z","title":null,"venue":null,"work_id":"d3e5076c-9870-4a93-9dca-f434ea1cc46a","year":2020},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.090953Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:f9bfbb4c5c2095dc5afccda63489c468fe5513c13bcd3c1cdf5b12dc31351e1d","observation_id":"4893b3d8-076d-4e77-bf47-65985933cd32","resolution":{"observed_at":"2026-08-11T12:46:25.178697Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.laa.2020.09.015","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:46:25.162169Z","title":"Shitov , Column subset selection is NP-complete , Linear Algebra Appl., 610 (2021), pp","venue":null,"work_id":"05223880-f1f6-4bb0-a238-160939f302e2","year":2021},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.094642Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:0bf072c9b03f19da490b057fdfea533bb69487ff54cb32e190af9c440df6cba5","observation_id":"266dafdc-4e68-467d-b1d8-aa7277a774d9","resolution":{"observed_at":"2026-08-11T12:46:25.166810Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T12:46:25.098319Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.098319Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:84cfd099380d65d15697bb243c1de2ef45cffd9c0c86197f10540e59b96ee06f","observation_id":"7ca3df94-7bef-4273-b315-736be018f04b","resolution":{"observed_at":"2026-08-11T12:46:25.098319Z","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":"2026-08-11T12:46:25.101698Z","title":"Townsend and L","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.101698Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:505c8f80f2232d1fc6f9b001686d5e2a3101d7403e5848d8935163db45402800","observation_id":"ed1c8e35-4632-455c-b671-d5788d2e6f96","resolution":{"observed_at":"2026-08-11T12:46:25.101698Z","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":"10.1007/s10444-016-9494-8","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:46:25.135186Z","title":"Voronin and P.-G","venue":null,"work_id":"b77b4d8a-473c-488d-974d-69f5f90a10b7","year":2017},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.105242Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:30a27f59e0d0d9a3be9c3723a56de0b32dd086d0c4da3dc3551b7f4021622dcc","observation_id":"6b5b79f1-51fa-42ea-874c-0b36420afc81","resolution":{"observed_at":"2026-08-11T12:46:25.140324Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T12:46:25.444184Z","title":null,"venue":null,"work_id":"c6348aaa-de66-46bd-9ad1-68842d72da5f","year":2000},"citing_paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T12:46:25.108689Z"},"links":{"citing_paper":"/paper/2412.13992"},"observation_digest":"sha256:289b441ddd655988b525607e6ac2d7bd9301c6b109a0024c3d72c8073015b44d","observation_id":"74c51ff9-c27b-42a5-81a5-5207a7ebf491","resolution":{"observed_at":"2026-08-11T12:46:25.448353Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.13992","last_updated":"2025-06-19T16:14:31Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-15T12:40:40.786632Z","submitted_at":"2024-12-18T16:11:22Z","title":"Adaptive randomized pivoting for column subset selection, DEIM, and low-rank approximation"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":7,"verified_fuzzy":5},"total_outbound_references":32},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 3 inbound Pith citation observations for arXiv:2412.13992."}