{"as_of":"2026-08-08T03:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9e7a9ee9cadf3ed9a5cded124f283beaea22bd0ca10fa34bb92d9c4220d2f7b7","coverage":[{"denominator":76,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":76,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:03:42.130671Z","state":"measured"},{"denominator":77,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":77,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T08:39:54.127544Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.16937","snapshot_observed_at":"2026-08-03T08:39:54.127544Z","title":"arXiv preprint arXiv:2505.16937 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.29361","last_updated":"2026-07-31T12:49:16Z","snapshot_observed_at":"2026-08-08T00:53:22.520616Z","submitted_at":"2026-07-31T12:49:16Z","title":"A recursive butterfly factorization with optimality guarantees","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-03T08:39:54.127544Z"},"links":{"cited_paper":"/paper/2505.16937","citing_paper":"/paper/2607.29361"},"observation_digest":"sha256:e9431acf772497285ba301690ee6886042ff7c0a608006908989f3d7a0bdf0c9","observation_id":"5f5e888d-24c5-43bd-a799-e44cf6922e0e","resolution":{"observed_at":"2026-08-03T08:39:54.127544Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2505.16937/citation-record","integrity":"/paper/2505.16937/integrity","json":"/paper/2505.16937/citation-record.json","paper":"/paper/2505.16937"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:03:57.307041Z","title":"Ambartsumyan, W","venue":null,"work_id":"51975612-2420-4805-9568-7378d0ce5f9f","year":2020},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:31.160803Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:bc8cf2a15b609b1ed8ea52740a202a016f8ae1ae2a9320328fd1cc6b6e07e657","observation_id":"4f678ee7-8a0c-43f1-8f78-d715d98e92b4","resolution":{"observed_at":"2026-08-07T15:03:57.360956Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:57.083077Z","title":"Ambikasaran, D","venue":null,"work_id":"48518d39-b6a5-4970-a009-edc87fabb86d","year":2016},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:31.271697Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:d4f081f2be3e027636fdbdffa122f289e6b5f823ca2adaeafdbe71aaf2ebea54","observation_id":"898ede87-1544-42db-aabd-f82f8da9bc4d","resolution":{"observed_at":"2026-08-07T15:03:57.157447Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.09379","last_updated":"2024-03-26T15:14:22Z","snapshot_observed_at":"2026-08-06T22:04:23.387908Z","submitted_at":"2024-02-14T18:25:13Z","title":"Fixed-sparsity matrix approximation from matrix-vector products","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.09379","snapshot_observed_at":"2026-08-07T15:03:31.433782Z","title":"Amsel, T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:31.433782Z"},"links":{"cited_paper":"/paper/2402.09379","citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:4906fa8ceebee738f54dbdd42ececfd50d97a10112b0487bdc66559d9787c100","observation_id":"421b821f-aa87-4b85-9fa0-f6446b0e4b68","resolution":{"observed_at":"2026-08-07T15:03:31.433782Z","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":"2026-08-07T15:03:56.848276Z","title":"Ashcraft, A","venue":null,"work_id":"87190613-082d-4b9f-a6f7-e3fb858123cc","year":2021},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:31.600877Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:ff6452ee65344bb5b0cd7a70229b642c59527849b167d882b0165c284c7fdc04","observation_id":"8ce518ed-3848-423a-b94c-ed377f843f25","resolution":{"observed_at":"2026-08-07T15:03:57.011812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:56.636396Z","title":"Askham, M","venue":null,"work_id":"3e793bd1-dfac-4dc2-928b-dfd16640ea76","year":null},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:31.798291Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:b4f2b0abb98250d872e752ccb88f6ce7a192d22859b89d3f3feed8dc1d055916","observation_id":"470b9420-1a9c-43aa-a9e0-8ce37b9dfca9","resolution":{"observed_at":"2026-08-07T15:03:56.743327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:56.428679Z","title":"Bakshi, K","venue":null,"work_id":"8ddfd2d8-2d15-462e-ae8d-f5d15bf6ab55","year":2022},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:31.993393Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:86783e6090dbba946e1003e15420c7e3eb8b190e105b516c2fa1843ded9a573d","observation_id":"aac37aa6-6b7d-4bb5-953a-9933b0dfccb8","resolution":{"observed_at":"2026-08-07T15:03:56.469134Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:56.218198Z","title":"Bakshi and S","venue":null,"work_id":"8f44e15c-3580-4d54-8bbb-c82bd8dcf71a","year":2023},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:32.133078Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:c02ed5d75afe8436ccffe5a345e2df36c3c9406d351f54562d4a7f2866a586f5","observation_id":"3029e6f7-b4ad-4782-b91b-de11ce8a0ab5","resolution":{"observed_at":"2026-08-07T15:03:56.368292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:56.057797Z","title":"Ballani and D","venue":null,"work_id":"21f8227f-0519-447f-9348-9b018031b6c6","year":2016},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:32.334551Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:19eeabb5997682a4cc354d235d3728c92845312aea1224c17b3034397879d208","observation_id":"c8a614e1-46fd-4f6a-b713-fd10dd1b50ca","resolution":{"observed_at":"2026-08-07T15:03:56.108604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:55.793297Z","title":"Barnes and P","venue":null,"work_id":"280bc37f-47a7-429d-8b3b-aa162c8418fa","year":1986},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:32.539033Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:0af246c267df1c11078c488d06f8c633e698d46402c317eed691a05a0ad841a9","observation_id":"773580fb-f2c7-446b-b5fb-3d5fd8c428d2","resolution":{"observed_at":"2026-08-07T15:03:55.891037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.10684","last_updated":"2022-01-26T00:05:12Z","snapshot_observed_at":"2026-07-06T12:31:16.768817Z","submitted_at":"2022-01-26T00:05:12Z","title":"Stochastic diagonal estimation: probabilistic bounds and an improved algorithm","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.10684","snapshot_observed_at":"2026-08-07T15:03:32.691486Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:32.691486Z"},"links":{"cited_paper":"/paper/2201.10684","citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:ce278163cb36fa0f6cac9da060b033ff2bcaab8705caff22a625d7f82a6e8196","observation_id":"9e66bc93-2c50-4d0d-8e98-e79eed7bbcac","resolution":{"observed_at":"2026-08-07T15:03:32.691486Z","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":"2026-08-07T15:03:55.641590Z","title":"Bebendorf and W","venue":null,"work_id":"54536760-cb7b-4678-8fba-3defddfd7545","year":2003},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:32.916890Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:ff73461ec7ddfc7c523833a09d20ac0412a8ca9b1f76d3e8474fd0bb4018820d","observation_id":"7d0f4e3a-0fda-4c28-8998-679bb991664c","resolution":{"observed_at":"2026-08-07T15:03:55.739628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:55.449703Z","title":"Bekas, E","venue":null,"work_id":"ccd6d610-c6d3-4a42-96ec-46a560506bf1","year":2007},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:33.095312Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:d92bb9982ad42b88513afbbc2c4356f00568606bb281a12a16866f29105b6420","observation_id":"9e01b781-a430-47d0-a1e8-ace03ff105c1","resolution":{"observed_at":"2026-08-07T15:03:55.515444Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:55.247438Z","title":null,"venue":null,"work_id":"69a37191-7060-4878-a924-08bd26d6339c","year":1999},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:33.217694Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:1b283df0150d55fd913593f6b1df6441fa7047f82217ddb5582c18939e0a728e","observation_id":"9d9e4156-cc6b-4b9f-863a-55f7ebc6d6b1","resolution":{"observed_at":"2026-08-07T15:03:55.382421Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:54.847788Z","title":"Bhatia, Matrix analysis, vol","venue":null,"work_id":"3d26bfbe-0cbd-400e-b4f6-ee4058766729","year":1997},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:33.327758Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:70d3795ca332bb8dccfbb0473b3b44ec6d4a3c3e44b12c3bedd34f329691f9ce","observation_id":"f07bf3a4-6c72-4a1b-954d-79e6b82cd734","resolution":{"observed_at":"2026-08-07T15:03:55.019283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:54.514570Z","title":"B¨orm, Efficient numerical methods for non-local operators , vol","venue":null,"work_id":"4e56bd1f-0575-4ce9-ab0c-63687085c1ad","year":2010},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:33.448710Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:0e8f5d03b75e2c9af8a9980a0da552c2c4c9fc4aa518ba367a1ec0b10ec6ab1c","observation_id":"8f20c691-7f93-4aa0-bcf6-ccb563a8b0df","resolution":{"observed_at":"2026-08-07T15:03:54.643937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:54.292639Z","title":"B ¨orm and K","venue":null,"work_id":"cbbc9743-097f-4fd1-b73f-0db0c37d055e","year":2013},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:33.572572Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:283ebf0c458eddd77bd8779c8b2d249dbde47e5696fbd4520c1af8a24c614307","observation_id":"3d2a62fb-541d-4bf2-a00a-da0694879d78","resolution":{"observed_at":"2026-08-07T15:03:54.395167Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:53.905151Z","title":"Boukaram, G","venue":null,"work_id":"4d3f2c2e-cca6-4e45-96b6-4126bb647288","year":2019},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:33.742820Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:28818b2c5b91a5c3fd173b7c78671e2b4e1c44d09d72ed810ff51fdc71191dc7","observation_id":"18fefd7c-9057-4b0a-9d18-7541fcdcf296","resolution":{"observed_at":"2026-08-07T15:03:54.129275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:53.570490Z","title":"Boull´e, C","venue":null,"work_id":"95bca858-2614-433e-b774-ff97d6e85c40","year":2022},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:33.910422Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:2eb6a0e087eb96587857e8c38830254eea1c0380d080a271593bcebc75bbf998","observation_id":"cfbf8295-78b0-45c1-aa37-fcb9c98ddc0f","resolution":{"observed_at":"2026-08-07T15:03:53.692397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:53.233484Z","title":"Boull´e, D","venue":null,"work_id":"bc4e47a5-9826-4b77-aecd-d69e72381f16","year":2023},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:34.123249Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:8cfe1c1c366c5c98377cbc5600eff943ece628a5c74bbb2d9533598d013514f7","observation_id":"d8fedc1b-f2bd-43ef-a788-1eb6070484f5","resolution":{"observed_at":"2026-08-07T15:03:53.405894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:52.974719Z","title":"Boull´e and A","venue":null,"work_id":"c8642e88-c8b4-4a8d-aafc-47f1d3722a5e","year":2022},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:34.339352Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:92510d680c72708aed12e91125b18b8b4773187c33279372c868bee8e61b4058","observation_id":"42bf37c7-3843-495c-a51a-026396f439f4","resolution":{"observed_at":"2026-08-07T15:03:53.075950Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:52.686492Z","title":"Boull ´e and A","venue":null,"work_id":"1879f389-0490-443e-a353-3251767fd5cd","year":2024},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:34.485365Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:d9b1489b90852dedce80959244e0044e940bd59e863068f457b3ed264ba283b6","observation_id":"ce75755b-5b44-41c6-81d8-1a380929a496","resolution":{"observed_at":"2026-08-07T15:03:52.833201Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:52.395466Z","title":null,"venue":null,"work_id":"ea19805f-1ace-4560-b4d8-75c48bbb05c6","year":2024},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:34.575714Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:953057e320d7e2a67482c58e56176209cde8f60a7d285bc352766ddf45644b06","observation_id":"fbb9c44d-bf75-4495-94fc-5e1f4c3f6fad","resolution":{"observed_at":"2026-08-07T15:03:52.501306Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:52.196813Z","title":null,"venue":null,"work_id":"ab30a06a-30f4-44d9-8c9a-72c330292968","year":2024},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:34.675472Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:52f3b9268cc2107c22dc8eda40af03150f36304578eac0db3610cb416139d6d6","observation_id":"241eb20b-a23c-4995-903e-4e2e7bf35300","resolution":{"observed_at":"2026-08-07T15:03:52.275686Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:52.056071Z","title":"Chandrasekaran, P","venue":null,"work_id":"7b989cbc-00e4-48ac-ad1c-f49baf80f6c8","year":2002},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:34.783260Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:4caa9ba5ac1693c4b5f1086dd76ddc48eef4b42a6a13a2e1869bca36aaf17703","observation_id":"ff46f957-e414-43dc-873a-7d6f55042a87","resolution":{"observed_at":"2026-08-07T15:03:52.126216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:51.917043Z","title":null,"venue":null,"work_id":"51971098-2130-4803-be3c-0f9c0c720954","year":2025},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:34.900204Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:37cf325f93b4c60715eaa7796630c5afbb76393cf2bc18e5e353050ab5dcedbd","observation_id":"a4755d10-b0ac-4d52-af99-91a110b61ff6","resolution":{"observed_at":"2026-08-07T15:03:51.969163Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:51.721750Z","title":"Cohen, S","venue":null,"work_id":"acc40f86-660f-456e-9dd6-749e33581007","year":2015},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:35.028321Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:6a1ad5761d5fd21b8aa84d9cff8999edce4233e779a2c6e79720b65f42474f19","observation_id":"9475092b-076e-496e-b612-9da522552488","resolution":{"observed_at":"2026-08-07T15:03:51.811842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:51.531851Z","title":null,"venue":null,"work_id":"586dfe55-d11e-4cc4-8fc4-c8633b2cfe6e","year":1986},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:35.203249Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:b83a9b412c1023e78f121162c1c814c007ba8a4d029b37202df2012038b5d60c","observation_id":"1cda2255-2855-4db8-9137-999cee9cbe7b","resolution":{"observed_at":"2026-08-07T15:03:51.605038Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:51.372184Z","title":null,"venue":null,"work_id":"c88679f9-1909-4bcb-bc72-4e5569f87d56","year":1983},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:35.388614Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:7cb00bec8247defc3529c32d7f96166869f7d814061e1433f2ba3b68dcab66c0","observation_id":"ea34a03e-a75c-4e51-a27f-8f648d6da293","resolution":{"observed_at":"2026-08-07T15:03:51.436313Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:51.198208Z","title":null,"venue":null,"work_id":"b3e14c07-c4b4-4f79-b6e5-8664919d7bf5","year":1974},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:35.533735Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:815a14d1147d96f58d0e66590f4447f016c114f39388ec7c4963ea445b33798c","observation_id":"5a413c1f-5b96-4879-a272-7925a7770e0d","resolution":{"observed_at":"2026-08-07T15:03:51.258102Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:51.055362Z","title":"Dasarathy, P","venue":null,"work_id":"2ab6c335-799b-4e91-b749-73360a2345a5","year":2015},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:35.714674Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:18572cdc0f570dff3a76a30a8f911be0da1775479c26744bf471639eef3343b5","observation_id":"ada91b4d-9967-4921-ac8d-88a658c223b7","resolution":{"observed_at":"2026-08-07T15:03:51.108193Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:50.886996Z","title":"Dharangutte and C","venue":null,"work_id":"19292da8-038c-462c-a0f8-178914a370e0","year":2023},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:35.905929Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:01647281e436d2c4301c9741600d8add1781875e46e17955d61ecbf895a26fba","observation_id":"c0a87cb5-97b3-4d4e-a86a-4c2123ddb126","resolution":{"observed_at":"2026-08-07T15:03:50.968976Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:50.716727Z","title":null,"venue":null,"work_id":"3e7fa21a-5be4-4256-b22b-ead3ca273e6d","year":2020},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:36.007298Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:94bdad5dbe7d2e68f0809e7e0f17f83dae7d3110093059f8efcaa529040f8aaf","observation_id":"1892fdfc-2e9d-4580-804f-a95d78336b37","resolution":{"observed_at":"2026-08-07T15:03:50.798121Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:50.517850Z","title":"Gillman, P","venue":null,"work_id":"1d5f4444-be2a-4520-a446-6af5cc2c5956","year":2012},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:36.101535Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:5c785246f7616f6cb0239c34d2fc2340b688571f8bb3e9adcc87171c33a67082","observation_id":"249c2557-8ad5-4ada-8354-8feecd17cd74","resolution":{"observed_at":"2026-08-07T15:03:50.567297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:50.404339Z","title":"Gorman, G","venue":null,"work_id":"93faa90e-6c8a-46c7-a0ef-18c637b3496e","year":2019},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:36.297719Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:89c8e1717eb70b07b2b93a37819331ec0fdcdb26c4daec4113a577763da79434","observation_id":"ddb3c258-99fb-4a1e-ae35-4f7e36935d39","resolution":{"observed_at":"2026-08-07T15:03:50.452874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:50.228818Z","title":"Greengard and V","venue":null,"work_id":"6cc4884b-a996-4c62-8929-c3099da223e7","year":1987},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:36.412409Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:3a32f02c594220f232cf6d5b1897787f905a80ee2a88f23fdae513d054f35889","observation_id":"8c695807-0a70-42d4-9fff-e796d670f92a","resolution":{"observed_at":"2026-08-07T15:03:50.315135Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:50.029684Z","title":"Hackbusch, Hierarchical matrices: algorithms and analysis , vol","venue":null,"work_id":"351c792b-bf67-48a4-b08a-e302da86e8aa","year":2015},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:36.552902Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:7335b02b1be282af0b9531799a548e9ac9e8fcfaeea786e7e29bb1ed978f34e2","observation_id":"39682a06-8527-4558-a2dc-e956803c6a92","resolution":{"observed_at":"2026-08-07T15:03:50.118017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:49.858885Z","title":"Halikias and A","venue":null,"work_id":"31396039-4442-4eda-a733-dc5c2d75fb8c","year":2024},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:36.700052Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:7551f7e883b49b477dea735dcb507b9458e03a7e65afff82bac624dd89b041de","observation_id":"23f3ab68-826c-4487-ba4a-8f00f0bb3dcf","resolution":{"observed_at":"2026-08-07T15:03:49.921801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:49.696618Z","title":"Halko, P","venue":null,"work_id":"2c7a72f6-4391-4c1e-8df0-41c39821a03d","year":2011},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:36.803825Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:a026d6af0907c9e48ed178401bebbe1b866a07fb110c77ef659a8dd441fbb553","observation_id":"f95354e5-cf6f-4aa0-8d2a-a7fec90b2352","resolution":{"observed_at":"2026-08-07T15:03:49.759054Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:49.518036Z","title":"Kapralov, H","venue":null,"work_id":"e597570a-cb98-49f9-9862-6ab66db03ab8","year":2023},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:36.924991Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:e6fde0e7d88d46a5cb8588a6883b24bd413dd82fcaedd5a765e2920f9eac675f","observation_id":"bb791dbc-6520-4d41-ba03-7bec0b4a3758","resolution":{"observed_at":"2026-08-07T15:03:49.606561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:49.355828Z","title":"Kaye and D","venue":null,"work_id":"8fc3a421-e081-4813-986c-0919cda7eded","year":2021},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:37.075821Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:c43f824557ecf255b1d8b0b4edf52c5f7c3e48721bf1ef3a598d641d698504ad","observation_id":"fd5eaa33-3978-44fc-9f3d-025fb5bad723","resolution":{"observed_at":"2026-08-07T15:03:49.419293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.15715","last_updated":"2024-02-24T04:40:27Z","snapshot_observed_at":"2026-07-06T17:34:53.153463Z","submitted_at":"2024-02-24T04:40:27Z","title":"Operator Learning: Algorithms and Analysis","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.15715","snapshot_observed_at":"2026-08-07T15:03:37.150112Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:37.150112Z"},"links":{"cited_paper":"/paper/2402.15715","citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:b2d8553aece09d9e8f244b55a058b847ebf77d8f845c1d61c25288344f554a18","observation_id":"38d276b5-43b5-49b2-8be8-2d805e03b2ad","resolution":{"observed_at":"2026-08-07T15:03:37.150112Z","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":"2026-08-07T15:03:49.138252Z","title":"Kressner, S","venue":null,"work_id":"2bdb4c2d-05bc-438d-8caf-ac9687031fc0","year":2019},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:37.211572Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:1492bf2afc70c978a645ea3aca4f91b89f8b0323ab50e97cfed68e0a164373b1","observation_id":"d4b7625c-7a35-424c-8406-22c38ed6829c","resolution":{"observed_at":"2026-08-07T15:03:49.250886Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:48.835890Z","title":"Levitt and P.-G","venue":null,"work_id":"df59996d-4068-4edf-a414-e9e96f72a5ce","year":2024},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:37.320287Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:5d0633e648aa435e88ec901e77db4bad4ff6ac6a32e8d1fd54dff5fe909d7b3b","observation_id":"4026db88-7ed3-4745-9ad5-5052e2369c9e","resolution":{"observed_at":"2026-08-07T15:03:48.942626Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:48.574892Z","title":null,"venue":null,"work_id":"a4cbfbbc-c0d5-415c-bef7-9cbf54203995","year":2024},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:37.503272Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:e88f6b7a2664bdf9e4453869bb9e96e9421a0c319c62cdfd6dc865c1a6e5b25b","observation_id":"e012b8cd-5898-4ebe-a23b-62dc3879943e","resolution":{"observed_at":"2026-08-07T15:03:48.716839Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:48.236920Z","title":"Li and H","venue":null,"work_id":"631d937c-ce45-433e-9ca3-18d1f6c0639a","year":2017},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:37.594913Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:4b8655cee0691a517c0dfbf27b7a2023fc5842dc92165e22fc84faba25790997","observation_id":"cb3d3384-84e2-4876-ab46-648087119223","resolution":{"observed_at":"2026-08-07T15:03:48.396873Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:47.997862Z","title":null,"venue":null,"work_id":"85c04ee7-98be-4093-84dc-ff36255ff59f","year":2021},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:37.728166Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:f3139fab69a8d1d0a7908f84407eeb37f490db6adc723716788476ad47e6d8e2","observation_id":"db0ebb42-78b2-4614-8e49-4b845578e810","resolution":{"observed_at":"2026-08-07T15:03:48.097178Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:47.747488Z","title":null,"venue":null,"work_id":"b223de8f-c42c-4328-ab42-f0e9329898a6","year":2011},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:37.917664Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:45ecb783d3180f9d1157c8e0d0f45613aa49b3dc1af80314f457a12a7b506e06","observation_id":"63b59f34-d7f9-42c1-a53b-718e4822bfce","resolution":{"observed_at":"2026-08-07T15:03:47.873231Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:47.462534Z","title":"Litvinenko, Y","venue":null,"work_id":"cb9c993a-017f-4b31-94d9-2ba7e8eab8e9","year":2019},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:37.983977Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:a8f068cda4a793e5b39c767b0bc067530926ebd18355dcf61342f1edc97ec7ac","observation_id":"b4263c72-60a8-465d-9c08-b47b549bbf00","resolution":{"observed_at":"2026-08-07T15:03:47.592764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:47.136137Z","title":null,"venue":null,"work_id":"8dd7ba8a-a352-48e9-8561-7d448da74bc8","year":2021},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:38.127399Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:83d059eb19cde631a3188ff02071e82eab78f12899a987d48f04645310eae7f8","observation_id":"d394664f-4d0c-4b29-bcb4-f5a66c999c41","resolution":{"observed_at":"2026-08-07T15:03:47.295430Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:46.872224Z","title":null,"venue":null,"work_id":"85f20a2e-f990-4b4d-b453-4aef0162fa51","year":2021},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:38.285050Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:2a72b67c48b99ea0defa2833290b37b07cee929d4f31040776773696b68c6928","observation_id":"fc51818b-1928-4244-9e57-58577265d3b3","resolution":{"observed_at":"2026-08-07T15:03:46.976698Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0806.2339","last_updated":"2008-06-13T22:00:04Z","snapshot_observed_at":"2026-07-06T01:39:34.683382Z","submitted_at":"2008-06-13T22:00:04Z","title":"Rapid factorization of structured matrices via randomized sampling","version":1},"cited_work":{"arxiv_id":"0806.2339","doi":null,"metadata_source":"pith","pith_arxiv_id":"0806.2339","snapshot_observed_at":"2026-08-07T15:03:43.264190Z","title":"Rapid factorization of structured matrices via randomized sampling","venue":"math.NA","work_id":"7efb33d3-deb2-43eb-b0a6-87209d8db0f3","year":2008},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:38.425838Z"},"links":{"cited_paper":"/paper/0806.2339","citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:0d42a4a3eb5086b569374ca4cf35d5e767634fa112449e32faa1b277999ccc40","observation_id":"b93b51ce-db20-436c-8959-790d80b53118","resolution":{"observed_at":"2026-08-07T15:03:43.348283Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:46.591132Z","title":null,"venue":null,"work_id":"de50f6a6-480a-4a52-a966-d51bf1a9af5b","year":2011},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:38.615154Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:a4ebb3de241fd1f954ead6e4dc3fdf4c7d076ed881f3b4cf4aa1e46c38fc201f","observation_id":"c0159c3b-2bc4-45e3-8f20-e94af513f143","resolution":{"observed_at":"2026-08-07T15:03:46.747416Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:46.354045Z","title":"Martinsson, Compressing rank-structured matrices via randomized sampling , SIAM J","venue":null,"work_id":"ef171ff7-5ea6-4d5f-b11f-e4c08bd9478a","year":2016},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:38.730933Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:34e781346165140ea76c0904210eabf68496d27c5cb9fbd19f1cb15983c5bf14","observation_id":"2e0f142a-963c-43d9-bec6-20dff2ec43e2","resolution":{"observed_at":"2026-08-07T15:03:46.443175Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:46.176729Z","title":"96 of CBMS-NSF Regional Conference Se- ries in Applied Mathematics, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2020","venue":null,"work_id":"d12670ce-91d7-40ae-a257-1daeea2ef298","year":2020},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:38.809707Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:0c9c343cfcb15bf823d26698ca1b7e7af215e8f47d01e23f29186e01e4b2686a","observation_id":"8092c6c2-a3e8-4ecc-a38e-143518917b94","resolution":{"observed_at":"2026-08-07T15:03:46.265534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:45.970026Z","title":null,"venue":null,"work_id":"84aaee39-a095-4a9f-bea1-103342aad7c3","year":2005},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:38.906484Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:ad7908cd3fb70b118b731af916afee9d8c1c9e8dbead1de11214e5976e0c0cd3","observation_id":"0b91b1b1-82c6-4d75-b16f-d8afaa908051","resolution":{"observed_at":"2026-08-07T15:03:46.038419Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:45.781130Z","title":"Massei, M","venue":null,"work_id":"7697d06c-c497-47aa-b28a-e1f23b720771","year":2019},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:38.989918Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:d57212599ab0086267ecc837cd93a7de84efbc9929fc61a7cc1d75260532f335","observation_id":"6af7eac2-baa7-4736-90a1-70bc8987631b","resolution":{"observed_at":"2026-08-07T15:03:45.871969Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:45.560810Z","title":"Massei, L","venue":null,"work_id":"3418a49b-4564-44ed-89e3-7332b34b957c","year":2020},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:39.190150Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:34865b1ea399028f721ba9a53af20eb6ec8901e48c5b5f2b39d7929b7e0686b4","observation_id":"fe77a016-773a-48ec-95b1-b07f8a4f0707","resolution":{"observed_at":"2026-08-07T15:03:45.650517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2004.08434","last_updated":"2020-04-17T19:56:46Z","snapshot_observed_at":"2026-07-06T09:13:14.889743Z","submitted_at":"2020-04-17T19:56:46Z","title":"Projection-Cost-Preserving Sketches: Proof Strategies and Constructions","version":1},"cited_work":{"arxiv_id":"2004.08434","doi":null,"metadata_source":"pith","pith_arxiv_id":"2004.08434","snapshot_observed_at":"2026-08-07T15:03:43.063380Z","title":"Projection-Cost-Preserving Sketches: Proof Strategies and Constructions","venue":"cs.DS","work_id":"de609597-3a33-4276-a6c6-3c677eb78874","year":2020},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:39.296369Z"},"links":{"cited_paper":"/paper/2004.08434","citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:9e3d0e545d0348895557dbcf1b7f1843a86dffc851c7c47304c9dd006071b85e","observation_id":"2adad136-b7cd-4221-9b54-77779b6ed9f3","resolution":{"observed_at":"2026-08-07T15:03:43.138855Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2009.11392","last_updated":"2020-09-23T21:40:36Z","snapshot_observed_at":"2026-08-02T17:18:52.409029Z","submitted_at":"2020-09-23T21:40:36Z","title":"Fast and stable randomized low-rank matrix approximation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.11392","snapshot_observed_at":"2026-08-07T15:03:39.440788Z","title":"Nakatsukasa, Fast and stable randomized low-rank matrix approximation , arXiv preprint arXiv:2009.11392, (2020)","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:39.440788Z"},"links":{"cited_paper":"/paper/2009.11392","citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:2d09ecd357f69807229c33c50d15e7fc2fcfd59102a665db786a873b9ede0db7","observation_id":"5d024537-1197-47c9-b774-639cfacb8b75","resolution":{"observed_at":"2026-08-07T15:03:39.440788Z","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":"2310.05625","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:03:42.840632Z","title":"Park and Y","venue":null,"work_id":"84cbd6d2-713c-4bfc-9550-662e4f80ad51","year":2023},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:39.624868Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:3818e3246afcbf98878b65ba765ca08a48536d95263b2ff446884dabbecf8e80","observation_id":"c8b8284c-769b-4a4b-800a-f8ee268c0275","resolution":{"observed_at":"2026-08-07T15:03:42.930662Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:39.724583Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:39.724583Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:db9898f05896a98ac6d4e299137d523ccb1dcb9dcb4e73d6003a6dd66a6eae91","observation_id":"1a127e64-3eee-4c97-b807-1ae2583c7946","resolution":{"observed_at":"2026-08-07T15:03:39.724583Z","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":"2026-08-07T15:03:45.416683Z","title":"Pouransari, P","venue":null,"work_id":"4edff3c1-d2c8-4008-9485-dcd4c0848bc2","year":2017},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:39.870095Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:39a26d59b81acec44b99be117948554e446ae4528fe9bffbefea4a978924ffa7","observation_id":"0f5784df-87f9-4221-bd99-11893f40a620","resolution":{"observed_at":"2026-08-07T15:03:45.460541Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:45.276495Z","title":"Sarlos, Improved approximation algorithms for large matrices via random projections , in 2006 47th Annual IEEE Symposium on Foundations of Computer Science (FOCS), 2006, pp","venue":null,"work_id":"043ee7ae-8f89-4599-a130-b04646f3609d","year":2006},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:40.054612Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:72b3e8207731f6e9bfc62743410c9ff96254aadd3db464c388d6634d9c6a4d68","observation_id":"5bfa9e87-e6bd-4091-9a0c-d95c8cef6e77","resolution":{"observed_at":"2026-08-07T15:03:45.332773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:45.055643Z","title":"Sch¨afer, M","venue":null,"work_id":"212f8180-cc06-440b-9976-0d5aab13f86f","year":2021},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:40.199557Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:a6e15cee50ab39b8cb4603e99344e7cd6ad7ab03248de3e07c078bd643511972","observation_id":"64ceaa6f-6dd7-48f3-a713-217ec93cd50b","resolution":{"observed_at":"2026-08-07T15:03:45.145881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:44.875518Z","title":"Simchowitz, A","venue":null,"work_id":"b2a6fe55-17c2-4569-9613-8dd3d34cbf5a","year":2018},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:40.343102Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:ffccea7d3fdccb5e65791afb20e69db35f0f3111e7f8be42719a1e3c1f69548f","observation_id":"9907d9bd-d3f3-4b46-ae9a-0eb5e438028e","resolution":{"observed_at":"2026-08-07T15:03:44.958124Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:44.719462Z","title":null,"venue":null,"work_id":"974c7b08-a6ad-4915-9eb5-6ae4f0a6c2a3","year":2016},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:40.532892Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:97fd31f1a60e2732926dc78c35d5be63797950f5039fc330dff66b53a0efa48a","observation_id":"2f23f639-31ba-468d-ba03-08b4e0a619cb","resolution":{"observed_at":"2026-08-07T15:03:44.796401Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:44.577165Z","title":null,"venue":null,"work_id":"f24cd883-7a81-480b-ba79-1f906b9c9190","year":2012},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:40.784832Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:73a7c1d1a203f321366d79951c3a4611de31b1a75bb1e53d31ee95a23dd8426d","observation_id":"b55e7a83-67bf-49cb-8fbb-5099709810fc","resolution":{"observed_at":"2026-08-07T15:03:44.630164Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.12418","last_updated":"2023-09-22T02:57:04Z","snapshot_observed_at":"2026-07-06T15:45:13.905037Z","submitted_at":"2023-06-21T17:57:57Z","title":"Randomized algorithms for low-rank matrix approximation: Design, analysis, and applications","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.12418","snapshot_observed_at":"2026-08-07T15:03:40.982710Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:40.982710Z"},"links":{"cited_paper":"/paper/2306.12418","citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:8402fc7f4125a28f6e53578fee9adeab46568e0df1e6fcf36b5728da0fd897d4","observation_id":"b8ce8ebe-d4e0-4f25-aabd-6246565daec7","resolution":{"observed_at":"2026-08-07T15:03:40.982710Z","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":"2026-08-07T15:03:41.125844Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:41.125844Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:0a574ac9eb8e025d0e2e7db72e6da1704df31276e661abc1bab3664e107bb8ad","observation_id":"e2525fc7-8e3f-4655-b90a-9bb1c7b7118f","resolution":{"observed_at":"2026-08-07T15:03:41.125844Z","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":"2026-08-07T15:03:41.301360Z","title":"W ang and A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:41.301360Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:bd4df04b3622e877c62629e1e8bf2c3c26fc6316f6a38e65ed6d4d2cd9375db0","observation_id":"cd931ab0-117b-41b9-bbb6-e14d5f808381","resolution":{"observed_at":"2026-08-07T15:03:41.301360Z","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":"2026-08-07T15:03:44.318920Z","title":"W aters, A","venue":null,"work_id":"a92fe8bb-64b5-46b6-adec-dc133f07e443","year":2011},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:41.418062Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:2d705adc03dddce5abfddc580b7a464de240722b2055b06979ec3967f7dab21c","observation_id":"90bf6ac0-fb47-4034-9446-ca153a6aef2a","resolution":{"observed_at":"2026-08-07T15:03:44.424265Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1311.2448","last_updated":"2013-11-11T14:12:28Z","snapshot_observed_at":"2026-07-06T03:27:51.625375Z","submitted_at":"2013-11-11T14:12:28Z","title":"Recovery of Sparse Matrices via Matrix Sketching","version":1},"cited_work":{"arxiv_id":"1311.2448","doi":null,"metadata_source":"pith","pith_arxiv_id":"1311.2448","snapshot_observed_at":"2026-08-07T15:03:42.292621Z","title":"Recovery of Sparse Matrices via Matrix Sketching","venue":"cs.NA","work_id":"43721b20-a822-49ad-ac21-fd0bd05fff7d","year":2013},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:41.554940Z"},"links":{"cited_paper":"/paper/1311.2448","citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:b362f72cc4ed3c9451d359b4aa6e26ec37673ff07f2b2b3bfcdd20b1866c3123","observation_id":"2d7e8e44-3f91-4041-89b2-ba1df16d86db","resolution":{"observed_at":"2026-08-07T15:03:42.377967Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:44.125848Z","title":null,"venue":null,"work_id":"7906f748-1c10-4ab1-8791-e5c61fda97cb","year":2014},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:41.755985Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:1b4bc48c106ac36348f302235772d5f4688c3a57895a312e90eb112b9d4c80cc","observation_id":"bdfa96e7-2a5d-40cb-8f42-3cb71cf5e8ca","resolution":{"observed_at":"2026-08-07T15:03:44.212037Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:43.956999Z","title":null,"venue":null,"work_id":"4cd5fb40-5d11-45b5-aa5e-002e80e0f978","year":2009},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:41.934777Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:4a28304515e00f07b21e9c4d6c1d3c52de30431a9e4f78ec57c44606ac76cea1","observation_id":"8c55a92b-3d08-4e1b-88af-cd77ae553298","resolution":{"observed_at":"2026-08-07T15:03:44.030329Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:43.790407Z","title":"Linear Algebra Appl., 17 (2010), pp","venue":null,"work_id":"29905364-64fd-49d2-8d6a-e0aa8204d287","year":2010},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:42.035650Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:ce5eba5e584f20c2f9a9c820bbedbaa3c983cdaa415fdbf53b3214ee743926ac","observation_id":"bbaf15a9-7401-4688-bf76-b8b3b4181231","resolution":{"observed_at":"2026-08-07T15:03:43.856736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T15:03:43.597458Z","title":"eR1 eR2 # , . . . ,","venue":null,"work_id":"9f99ad0d-94fb-40a1-9fd6-63c2f540b33d","year":2025},"citing_paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-07T15:03:42.130671Z"},"links":{"citing_paper":"/paper/2505.16937"},"observation_digest":"sha256:9378d15f87f2c9017c83f72c19118afb0e52b75d0c7a19892e9d0faa92dc22c8","observation_id":"cf58e086-9e7b-487c-8d98-57006e672d60","resolution":{"observed_at":"2026-08-07T15:03:43.701660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.16937","last_updated":"2025-09-06T14:27:10Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-07T14:50:27.040751Z","submitted_at":"2025-05-22T17:27:40Z","title":"Quasi-optimal hierarchically semi-separable matrix approximation"},"reference_resolution":{"displayed":76,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":27,"verified_exact":4,"verified_fuzzy":45},"total_outbound_references":76},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 1 inbound Pith citation observation for arXiv:2505.16937."}