{"as_of":"2026-08-16T17:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e033854e2229554d8f83ed444a26c2cabf09fbc65804f17d2f7156ce2e5378d5","coverage":[{"denominator":152,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:47:39.015080Z","state":"measured"},{"denominator":101,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":101,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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":"2026-08-14T11:17:32.993036Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-14T11:17:33.439327Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"cited_work":{"arxiv_id":"1908.06721","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.06721","snapshot_observed_at":"2026-08-14T11:17:33.439327Z","title":"Computing Spectral Measures and Spectral Types","venue":"math.SP","work_id":"971b744a-b2fa-4202-b306-af0cfb72e773","year":2019},"citing_paper":{"arxiv_id":"1908.09592","last_updated":"2022-09-17T10:24:36Z","snapshot_observed_at":"2026-08-16T10:28:51.888695Z","submitted_at":"2019-08-26T11:02:34Z","title":"The foundations of spectral computations via the Solvability Complexity Index hierarchy","version":4},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T11:17:32.993036Z"},"links":{"cited_paper":"/paper/1908.06721","citing_paper":"/paper/1908.09592"},"observation_digest":"sha256:db20039b8d8874262ff3aa99f864568bcd2688e451cf0caaf73ddac285aab5f9","observation_id":"cfd8b857-57dd-402c-a85c-1b7ca2bd9557","resolution":{"observed_at":"2026-08-14T11:17:33.445056Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1908.06721/citation-record","integrity":"/paper/1908.06721/integrity","json":"/paper/1908.06721/citation-record.json","paper":"/paper/1908.06721"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T12:47:38.607108Z","title":"Akhiezer","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.607108Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:1f5052ab8d713015cd9f9c4069622411a006129bfd91ed0e2a674f3e9b949d25","observation_id":"0cfecb45-3791-401f-a194-1524b053f954","resolution":{"observed_at":"2026-08-14T12:47:38.607108Z","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":"2026-08-14T12:47:38.611830Z","title":"Amrein and V","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.611830Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:cc1e8e4374e3bbe70b41c9fb46990b5d4dd3fc82be3d7bddf39a9eaa4583e9a3","observation_id":"e7c84b46-725c-4ae4-a430-e47dc18df9ca","resolution":{"observed_at":"2026-08-14T12:47:38.611830Z","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":"2026-08-14T12:47:38.616170Z","title":"Anderson","venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.616170Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:95789ac7b388ffb9af4652bb9d69c29caa0c5a28b999effbd511238a84b5ab85","observation_id":"0122b0ec-d673-41d1-90a4-1451b77c61d2","resolution":{"observed_at":"2026-08-14T12:47:38.616170Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.08286","last_updated":"2021-04-15T17:09:49Z","snapshot_observed_at":"2026-08-16T07:07:45.918207Z","submitted_at":"2021-01-20T19:04:17Z","title":"Can stable and accurate neural networks be computed? -- On the barriers of deep learning and Smale's 18th problem","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.08286","snapshot_observed_at":"2026-08-14T12:47:38.620044Z","title":"Can stable and accurate neural networks be computed? - On the barriers of deep learning and Smale’s 18th problem","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.620044Z"},"links":{"cited_paper":"/paper/2101.08286","citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:8d436226ef02566a48bd171a6d9cde09cd85dac7f87c98e048c16b7be60cdbc8","observation_id":"14ac4893-e666-47d1-b6dc-9ee75c837bec","resolution":{"observed_at":"2026-08-14T12:47:38.620044Z","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":"2026-08-14T12:47:38.623915Z","title":"Aronszajn","venue":null,"work_id":null,"year":1951},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.623915Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:310186d3997a7d5c0b4cfd78a64e0427b985bfdd6872eae493cd77ae4d1d5ba0","observation_id":"9afae734-3d55-4be5-8345-46042857669a","resolution":{"observed_at":"2026-08-14T12:47:38.623915Z","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":"2026-08-14T12:47:38.628019Z","title":"Improper ﬁltrations for C ∗-algebras: spectra of unilateral tridiagonal operators","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.628019Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:b83a883692b958c2db248cec9dc886577eaa52a63c0b27c32249ab7bac1b5e40","observation_id":"9d7b276c-e35c-43cb-a4a3-fcd57701b5d8","resolution":{"observed_at":"2026-08-14T12:47:38.628019Z","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":"2026-08-14T12:47:38.632744Z","title":"C ∗-algebras and numerical linear algebra","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.632744Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:7682ea9177dc56d2a08b518086dbf6fccdc1d95cdb46771deef0831e3211be13","observation_id":"45990dbe-8fc1-4417-b85a-2d36a26c8e65","resolution":{"observed_at":"2026-08-14T12:47:38.632744Z","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":"2026-08-14T12:47:38.637713Z","title":"The role of C ∗-algebras in inﬁnite-dimensional numerical linear algebra","venue":null,"work_id":null,"year":1943},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.637713Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:ed02421ea40aa827ab438ed7476eb6a4aa07fe50ca2cd0d5423a78ccb619dbf8","observation_id":"3076df96-690e-4f65-af9d-4816961fa23b","resolution":{"observed_at":"2026-08-14T12:47:38.637713Z","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":"2026-08-14T12:47:38.641560Z","title":"Spectral analysis of large dimensional random matrices , volume 20","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.641560Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:3f6d8363db20f3794dc4c4ae92cb1cd392c4aa499f4ec6e9c27b370613a02ae0","observation_id":"1e95599e-5dcf-4978-8291-816af18ebb25","resolution":{"observed_at":"2026-08-14T12:47:38.641560Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.16347","last_updated":"2020-10-30T16:08:32Z","snapshot_observed_at":"2026-08-13T21:10:25.192321Z","submitted_at":"2020-10-30T16:08:32Z","title":"Computing solutions of Schr\\\"odinger equations on unbounded domains- On the brink of numerical algorithms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.16347","snapshot_observed_at":"2026-08-14T12:47:38.645916Z","title":"Computing solutions of Schr¨ odinger equations on unbounded domains - on the brink of numerical algorithms","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.645916Z"},"links":{"cited_paper":"/paper/2010.16347","citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:4ec4edb9db734f89a4b7e32b497ad8f3c42b9f1cd2e5ec3d1ca39bbf49619aa3","observation_id":"4ccb2c48-27e3-48e7-90ae-ea2d24d99e66","resolution":{"observed_at":"2026-08-14T12:47:38.645916Z","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":"2026-08-14T12:47:38.650597Z","title":"On Folner nets, Szeg¨ o’s theorem and other eigenvalue distribution theorems","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.650597Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:1c4e8480d01e85f485e2f434e6cb29918ea31ec0cc26fc9d52af4fb9e17a6c7e","observation_id":"4fe6ec77-224f-4938-944c-8db14bf4183e","resolution":{"observed_at":"2026-08-14T12:47:38.650597Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1508.03280","last_updated":"2020-06-15T17:50:03Z","snapshot_observed_at":"2026-08-14T22:36:36.994335Z","submitted_at":"2015-08-13T17:42:14Z","title":"Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1508.03280","snapshot_observed_at":"2026-08-14T12:47:38.654656Z","title":"Ben-Artzi, M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.654656Z"},"links":{"cited_paper":"/paper/1508.03280","citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:7a9c7184028adc58c45970366a89c9dbcbe4bee1fafed8d535ac770586752e3f","observation_id":"f2a718bd-026e-4d3e-a650-f1045448bdf6","resolution":{"observed_at":"2026-08-14T12:47:38.654656Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.03368","last_updated":"2020-06-05T11:03:33Z","snapshot_observed_at":"2026-07-06T09:26:20.186505Z","submitted_at":"2020-06-05T11:03:33Z","title":"Computing Scattering Resonances","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.03368","snapshot_observed_at":"2026-08-14T12:47:38.659053Z","title":"Computing scattering resonances","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.659053Z"},"links":{"cited_paper":"/paper/2006.03368","citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:b976f9eb11ac5358ca4656f61eb3c642f09d585306374aba205fa8c609eb35d9","observation_id":"53604308-1f22-41f6-9c7c-6c77823ba2e7","resolution":{"observed_at":"2026-08-14T12:47:38.659053Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.02956","last_updated":"2021-03-03T11:05:07Z","snapshot_observed_at":"2026-08-12T23:21:49.762709Z","submitted_at":"2020-09-07T09:14:19Z","title":"Computing the Sound of the Sea in a Seashell","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.02956","snapshot_observed_at":"2026-08-14T12:47:38.663793Z","title":"Computing the sound of the sea in a seashell","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.663793Z"},"links":{"cited_paper":"/paper/2009.02956","citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:be453f5eab5d00d1fb735b2ba42e6484f815e705b7ce2524449c579fecde7aa9","observation_id":"cec90f28-64fb-42c2-9d99-7f9faf990692","resolution":{"observed_at":"2026-08-14T12:47:38.663793Z","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":"2026-08-14T12:47:38.669599Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.669599Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:94beb4210fd44c3b0ebb5a5ac6ac1495055b6bc9f0ea2920bee1337d427f91b2","observation_id":"8ecf85f1-7269-4766-adaa-f7d287afcef3","resolution":{"observed_at":"2026-08-14T12:47:38.669599Z","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":"2026-08-14T12:47:38.673436Z","title":"Numerical inverse scattering for the Toda lattice","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.673436Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:82004af0995f8d92845fb4b1b40dec625d3c54e359dc32619b360944a05ca823","observation_id":"fb3681db-1125-4419-988e-45aba50b7e71","resolution":{"observed_at":"2026-08-14T12:47:38.673436Z","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":"2026-08-14T12:47:38.677489Z","title":"Complexity and Real Computation","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.677489Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:eee25a2b342d733579bc5d90faaa74f27377acea1351546e64ae7410abd0a4a7","observation_id":"8670d175-75d1-43cb-91ae-9fb89c97e797","resolution":{"observed_at":"2026-08-14T12:47:38.677489Z","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":"2026-08-14T12:47:38.681368Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.681368Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:c2d81af042e77493dbc28898f151c1233e5dc6f405684070552a819b2c1b8e90","observation_id":"59df59b6-04d1-49a2-8e77-a1d62e5146c9","resolution":{"observed_at":"2026-08-14T12:47:38.681368Z","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":"2026-08-14T12:47:38.685641Z","title":"Pseudospectra and singular values of large convolution operators","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.685641Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:46aa3acfe9b42e353d8857869a36c967417280c94f48fb6eb2bf84ffda94ff68","observation_id":"4e4acbe8-278a-4970-947c-ef0cd900e2e8","resolution":{"observed_at":"2026-08-14T12:47:38.685641Z","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":"2026-08-14T12:47:38.689476Z","title":"Inﬁnite matrices and projection methods","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.689476Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:d9fce54d9b48dc6ff9295cbdf6c6a5ef41e293fe89e7eca4db4479720c8425b9","observation_id":"0b0f47e6-d6f5-47ad-a3c8-90fe88924a4a","resolution":{"observed_at":"2026-08-14T12:47:38.689476Z","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":"2026-08-14T12:47:38.693270Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.693270Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:56509ffa728f43c1acf5ffe77f96b639189226b1ee73485ba3dd8132e129c6b0","observation_id":"6cf636ee-cd54-4012-ba47-d25d915bfd14","resolution":{"observed_at":"2026-08-14T12:47:38.693270Z","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":"2026-08-14T12:47:38.696945Z","title":"Chithra, and M.N.N","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.696945Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:074a0a735fdd4afe60108fedf8683d1d75ee7d583e66188f41cc1e7fdc8a1107","observation_id":"f137809c-a9ca-4243-90f9-759f7b67087d","resolution":{"observed_at":"2026-08-14T12:47:38.696945Z","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":"2026-08-14T12:47:38.700708Z","title":"Introduction to large truncated Toeplitz matrices","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.700708Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:004d948418095621739063115e8d657406cfe1a9d4ff602fbd8800690458e233","observation_id":"cbaf9fb5-3dab-4321-b214-1b93b2bab6c3","resolution":{"observed_at":"2026-08-14T12:47:38.700708Z","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":"2026-08-14T12:47:38.705190Z","title":"Projection methods for discrete Schr¨ odinger operators","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.705190Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:3f5cb160e95ca045c84006925d0efc6f6e3b23a8621d3f42454f0095fde0c4cb","observation_id":"db375714-d1f8-43be-a994-213653ea5bbd","resolution":{"observed_at":"2026-08-14T12:47:38.705190Z","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":"2026-08-14T12:47:38.708728Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.708728Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:7a3887a71ecedeff99951fed51193b62215157fe41ce10d173d34f3b1db0a8a4","observation_id":"87ed7e98-abb2-4d26-8822-d2dab9876c61","resolution":{"observed_at":"2026-08-14T12:47:38.708728Z","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":"2026-08-14T12:47:38.712721Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.712721Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:e81e1d6d30773947b7381b0d4f1e8c8456dc70d050db163db5996bc3dd5287e3","observation_id":"ffa8e7a4-7ad4-4b03-a7b3-4a7453104d0b","resolution":{"observed_at":"2026-08-14T12:47:38.712721Z","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":"2026-08-14T12:47:38.716916Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.716916Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:27ec538b95217f7a9f3ad5e5e57c403b0169a1f761dd425826e1b6282a1df6ff","observation_id":"a4936cb2-6825-41d7-aaf0-41371dc618f2","resolution":{"observed_at":"2026-08-14T12:47:38.716916Z","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":"2026-08-14T12:47:38.720791Z","title":"Cantero, Leandro Moral, and Luis Vel´ azquez","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.720791Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:3b26f63b280458d3741a60b0ad36e0eb4de312dc5e8be5a81ecd049e5a6f3f70","observation_id":"b323a6c0-a16a-4a40-ab3c-87ceb3465b90","resolution":{"observed_at":"2026-08-14T12:47:38.720791Z","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":"2026-08-14T12:47:38.724955Z","title":"Spectral theory of random Schr¨ odinger operators","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.724955Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:d1676bafeae3c7f57c537e0dae5462f21136e34f0fb61d785097256fb0a4d881","observation_id":"4ac36f00-98ad-45ae-8683-ff30f3f9078b","resolution":{"observed_at":"2026-08-14T12:47:38.724955Z","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":"2026-08-14T12:47:38.729245Z","title":"A physics magic trick: Take 2 sheets of carbon and twist","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.729245Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:5f0437e77eb22508932d7ce9cad7db4630d1e079efb8a6d5700b6c8733d8187b","observation_id":"ef571036-3939-47f9-802f-a95616342c7a","resolution":{"observed_at":"2026-08-14T12:47:38.729245Z","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":"2026-08-14T12:47:38.733490Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.733490Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:06d528023f204f0a0e986afec7d94496ab678e7f2cecef2b9f253a83e6a08331","observation_id":"aea3a212-2a18-48b1-bfc1-b89affa754c6","resolution":{"observed_at":"2026-08-14T12:47:38.733490Z","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":"2026-08-14T12:47:38.737205Z","title":"Coddington and Norman Levinson","venue":null,"work_id":null,"year":1955},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.737205Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:64dce8776bdfa5af06b8fee4f37ec98ee5eafbb96fba98498e459985562de47c","observation_id":"03754cb9-b3e2-4248-95e9-96e392958ca3","resolution":{"observed_at":"2026-08-14T12:47:38.737205Z","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":"2026-08-14T12:47:38.741167Z","title":"The Foundations of Inﬁnite-Dimensional Spectral Computations","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.741167Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:bd995f837cc70f4e021ebd5aaa13b5d8dacd977c74ab6a2da4b474a5aae1896d","observation_id":"4556ef18-6203-43c9-bd55-cbecd2dc1695","resolution":{"observed_at":"2026-08-14T12:47:38.741167Z","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":"2026-08-14T12:47:38.744540Z","title":"Colbrook","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.744540Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:1cb4d6e8ba66d6e3c4de4c6174ea9a66868b6b10c5f6da673e18aba4126a3c2b","observation_id":"bf2d7db7-58f2-4eb4-9505-7c4258240327","resolution":{"observed_at":"2026-08-14T12:47:38.744540Z","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":"2026-08-14T12:47:38.748269Z","title":"Colbrook","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.748269Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:858f796dc586af67abac49d9ca6d700a7f1aef000ccfde835ec697eacaaa6865","observation_id":"0816a9e7-3d66-40ce-94b6-f26020994e27","resolution":{"observed_at":"2026-08-14T12:47:38.748269Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.09598","last_updated":"2022-09-17T10:02:26Z","snapshot_observed_at":"2026-08-16T13:07:47.040016Z","submitted_at":"2019-08-26T11:12:53Z","title":"On the computation of geometric features of spectra of linear operators on Hilbert spaces","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.09598","snapshot_observed_at":"2026-08-14T12:47:38.751644Z","title":"Colbrook","venue":null,"work_id":null,"year":1908},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.751644Z"},"links":{"cited_paper":"/paper/1908.09598","citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:a8838b40fb1a1eafcd4aa675d31be2dcd2748c955bc0d4a56a66f65730782cd4","observation_id":"083bdd8d-7d1c-43c0-9da5-5387ebe93cb5","resolution":{"observed_at":"2026-08-14T12:47:38.751644Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.09592","last_updated":"2022-09-17T10:24:36Z","snapshot_observed_at":"2026-08-16T10:28:51.888695Z","submitted_at":"2019-08-26T11:02:34Z","title":"The foundations of spectral computations via the Solvability Complexity Index hierarchy","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.09592","snapshot_observed_at":"2026-08-14T12:47:38.755403Z","title":"Colbrook and Anders C","venue":null,"work_id":null,"year":1908},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.755403Z"},"links":{"cited_paper":"/paper/1908.09592","citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:56cd212aee9b67f03a820013110f6ac946f522479d06d70f9cd63967367cf33a","observation_id":"8354b299-1063-47e7-8b53-78af0e54138d","resolution":{"observed_at":"2026-08-14T12:47:38.755403Z","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":"2026-08-14T12:47:38.759644Z","title":"Colbrook and Anders C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.759644Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:fe541fa37fb51905a95167a10746efd96fd9d8e21bcee895f935b38563725a71","observation_id":"7ffb27d4-dd49-4fd0-9978-260d6a32ec4c","resolution":{"observed_at":"2026-08-14T12:47:38.759644Z","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":"2026-08-14T12:47:38.764252Z","title":"Colbrook, Andrew Horning, and Alex Townsend","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.764252Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:339ec94757a4f8bab5eacb08e92b8b646d65a780b4b9b70903a4d28b87b30af1","observation_id":"866aa252-6a0a-466e-8b86-9036c3bcb069","resolution":{"observed_at":"2026-08-14T12:47:38.764252Z","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":"2026-08-14T12:47:38.768453Z","title":"Colbrook, Bogdan Roman, and Anders C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.768453Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:fc4f150f54fb1ae00da09c364182164e07486521fe6f6fc54f0393fabade79a9","observation_id":"a4041eaa-dd4a-42ca-bc70-0483ebe15dd1","resolution":{"observed_at":"2026-08-14T12:47:38.768453Z","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":"2026-08-14T12:47:38.772776Z","title":"Connections between quantum dynamics and spectral properties of time-evolution operators","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.772776Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:87115d5764a7c8d18242a4def94426786e442972404618cbddcd3cf6816f041d","observation_id":"ac55be63-ceb1-4276-978a-e7c25090ae67","resolution":{"observed_at":"2026-08-14T12:47:38.772776Z","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":"2026-08-14T12:47:38.777697Z","title":"Cycon, Richard G","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.777697Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:c34163a5f9a1708e937639b6664dd62226ab1d1609494726293883973107e65e","observation_id":"e70a8661-a63d-4ec3-be03-b25ef2239a1f","resolution":{"observed_at":"2026-08-14T12:47:38.777697Z","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":"2026-08-14T12:47:38.782543Z","title":"Brian Davies","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.782543Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:0138fe83bbaeae043437619b07511c9e3d7ffc71ba97446ef626a79bc6042845","observation_id":"7dd666e2-ab01-4630-a3c7-4102c5b7ef9d","resolution":{"observed_at":"2026-08-14T12:47:38.782543Z","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":"2026-08-14T12:47:38.786732Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.786732Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:26001cbc5f6b1f7d9808470a0b400aba3c653061ace0034e94f828c1937da802","observation_id":"996ffe72-6124-4b5a-a5bb-0b8f1367061a","resolution":{"observed_at":"2026-08-14T12:47:38.786732Z","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":"2026-08-14T12:47:38.790907Z","title":"Orthogonal polynomials and random matrices: a Riemann-Hilbert approach , volume 3 of Courant Lecture Notes in Mathematics","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.790907Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:2fe8accef90e5dd96024becd1c9d14f43e19a8a8bfb2b73690ddfead4f4f9c86","observation_id":"e6decb3c-5c3b-4c39-9429-51a9e5cc9578","resolution":{"observed_at":"2026-08-14T12:47:38.790907Z","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":"2026-08-14T12:47:38.795270Z","title":"Li, and Carlos Tomei","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.795270Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:f6ebc485154161a30a133913b173d60ac35170c6ff085e003b71cf80199796bf","observation_id":"161ca892-ceea-4e4c-897d-ac30e0b3b358","resolution":{"observed_at":"2026-08-14T12:47:38.795270Z","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":"2026-08-14T12:47:38.799201Z","title":"Band gap formation and multiple scattering in photonic quasicrystals with a Penrose-type lattice","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.799201Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:75ae6151539d0e6bf8aa2d8face37cb216e45c921b99facca4bafe58982224bd","observation_id":"351151c0-4805-4cbc-8388-2048cc59c6b1","resolution":{"observed_at":"2026-08-14T12:47:38.799201Z","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":"2026-08-14T12:47:38.803177Z","title":"Dell’Oro and V","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.803177Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:57d266065518d8fcbbcfb3fb23c7a6d9f7db22ef738fb1722fb6b60b61bf0013","observation_id":"5a860cc1-20be-4103-b778-0828d039f3ef","resolution":{"observed_at":"2026-08-14T12:47:38.803177Z","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":"2026-08-14T12:47:38.807116Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.807116Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:6a901d813a3592e9cc35b18f2bdfdcd5f2067ab5a17b29a01336fb60019312f2","observation_id":"596d3dc6-2b27-42fe-b99b-7aef81f35bbe","resolution":{"observed_at":"2026-08-14T12:47:38.807116Z","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":"2026-08-14T12:47:38.810989Z","title":"Orthogonal polynomials, measures and recurrence relations","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.810989Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:1678d0bd3d97f21bd43eb29769f78ce1c9484effb2eba0de41e459b952847a6a","observation_id":"f7087e16-7806-49fc-a6cd-9d8725538864","resolution":{"observed_at":"2026-08-14T12:47:38.810989Z","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":"2026-08-14T12:47:38.815120Z","title":"Solving the quintic by iteration","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.815120Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:56090163c55425eb0d20e71133fcd2f1c5090bcd54f7aa5108eb5f6ace907d78","observation_id":"2f2cf87c-81b6-4ad3-a7c3-7da70fe38ae4","resolution":{"observed_at":"2026-08-14T12:47:38.815120Z","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":"2026-08-14T12:47:38.819237Z","title":"Inﬁnite random matrix theory, tridiagonal bordered Toeplitz matri- ces, and the moment problem","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.819237Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:ab2f9172fb89f3eab561a3f0527c0c76e6e9d506738474f621e2c9fcc5daa1a1","observation_id":"8fc3d024-4b2e-4a89-82be-1dcc98beb34c","resolution":{"observed_at":"2026-08-14T12:47:38.819237Z","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":"2026-08-14T12:47:38.822862Z","title":"Asymptotic completeness for quantum mechanical potential scattering","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.822862Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:d59493816c0d3fed757779db2c2e57eb232c6d28b744d7685119cc86afb06b05","observation_id":"99b9ad07-b42a-40ee-95e6-1245dfb44cfb","resolution":{"observed_at":"2026-08-14T12:47:38.822862Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1212.0839","last_updated":"2012-12-04T19:56:15Z","snapshot_observed_at":"2026-08-15T00:37:08.947169Z","submitted_at":"2012-12-04T19:56:15Z","title":"Universality for random matrices and log-gases","version":1},"cited_work":{"arxiv_id":"1212.0839","doi":null,"metadata_source":"pith","pith_arxiv_id":"1212.0839","snapshot_observed_at":"2026-08-14T12:47:39.310065Z","title":"Universality for random matrices and log-gases","venue":"math-ph","work_id":"787f93ca-02d2-4293-9449-3938c0a4cf86","year":2012},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.827089Z"},"links":{"cited_paper":"/paper/1212.0839","citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:2319cddf6f23d74088809f1b23286b4d9c7ef2780466fff3c8def4f6a743e53a","observation_id":"679539e7-ec79-4bc2-9285-fe3dea9084a6","resolution":{"observed_at":"2026-08-14T12:47:39.314025Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:38.831413Z","title":"On the energy of a large atom","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.831413Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:1a0e01ee2c5e0daf86ede0d1f8a43bc3675b9f5730ad6c0b13830fc4f55e53eb","observation_id":"adeeec5f-b1bb-4fe9-a0ab-0138d5f17208","resolution":{"observed_at":"2026-08-14T12:47:38.831413Z","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":"2026-08-14T12:47:38.835404Z","title":"Interval arithmetic in quantum mechanics","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.835404Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:e19ade5787cbe587f5858925c418fff713235cc5d032bc339714ad0bc562d8fd","observation_id":"02a41090-8018-457b-a696-0eaaafe459e3","resolution":{"observed_at":"2026-08-14T12:47:38.835404Z","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":"2026-08-14T12:47:38.839592Z","title":"Fulton, David Pearson, and Steven Pruess","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.839592Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:5433e522a6918976e09a92c89f8e7c2884bdf24d9f053ec394038282c08e9ff4","observation_id":"96d7564e-a0ce-4b55-a5bb-7c4beb1615ac","resolution":{"observed_at":"2026-08-14T12:47:38.839592Z","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":"2026-08-14T12:47:38.843643Z","title":"Fulton, David Pearson, and Steven Pruess","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.843643Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:762583f8144d02e6a19adc3ec86091045789cb20ef161ee64fb0c8c17c824967","observation_id":"f226f1ce-1f01-4bad-b385-aaf5599af7fa","resolution":{"observed_at":"2026-08-14T12:47:38.843643Z","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":"2026-08-14T12:47:38.848029Z","title":"Fulton and Steven Pruess","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.848029Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:26421d0b782f12c10b0d84a03c99bdbf97cd8e6a51ea1bea3dd5a68b267f4fe7","observation_id":"76a5e8ed-fbd8-4989-a1c4-208fe8d57dc8","resolution":{"observed_at":"2026-08-14T12:47:38.848029Z","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":"2026-08-14T12:47:38.851918Z","title":"Fulton, Steven Pruess, and William Shoaﬀ","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.851918Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:55136270a6121829771a8c73300758dda73fc34d47aa54888cc7d643f5e1e948","observation_id":"b737a0d6-b235-423d-be12-6f78f2d5fb20","resolution":{"observed_at":"2026-08-14T12:47:38.851918Z","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":"2026-08-14T12:47:38.856043Z","title":"Geisel, R","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.856043Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:324092df37ef667e01dbb5e313bb7516da6e321d644a59f04b9faa96a3e44fad","observation_id":"f96889d0-2264-489c-9a6a-dbca367ce30b","resolution":{"observed_at":"2026-08-14T12:47:38.856043Z","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":"2026-08-14T12:47:38.859728Z","title":"Geronimus","venue":null,"work_id":null,"year":1944},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.859728Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:cef1591083f07f4908b7440d023c3c523be22583379321753112a9d2f04fc93e","observation_id":"b010bfdd-b94f-4e1d-86b1-595b4e71aea9","resolution":{"observed_at":"2026-08-14T12:47:38.859728Z","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":"2026-08-14T12:47:38.863537Z","title":"Geronimus","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.863537Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:87f04f5047547f3e1861df129045b1c13bd930eae494e02123692c3b31e8219e","observation_id":"ecce43ae-9507-415d-80e5-af7e598d8116","resolution":{"observed_at":"2026-08-14T12:47:38.863537Z","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":"2026-08-14T12:47:38.867083Z","title":"m-functions and inverse spectral analysis for ﬁnite and semi-inﬁnite Jacobi matrices","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.867083Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:57ea177fe94f724864bc07db64220c18559887ab65f1502510e141d27a7d7bdb","observation_id":"7acb6d8b-3832-4a79-9606-37ee7923bcd3","resolution":{"observed_at":"2026-08-14T12:47:38.867083Z","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":"2026-08-14T12:47:38.870918Z","title":"Girardin and R","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.870918Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:921e1e55d91364005f2049c11e5fad2f6a5ef97ab114127e2394643686e21550","observation_id":"8d1a7621-0087-4f63-89c7-c140bc5193f6","resolution":{"observed_at":"2026-08-14T12:47:38.870918Z","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":"2026-08-14T12:47:38.874664Z","title":"Golub and Charles F","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.874664Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:03cc0e3513ed67c50abdc776af8615fe8ebbd2fd044de204346ee228a42f9a3f","observation_id":"0d6feab1-6676-433c-9983-b824152c2492","resolution":{"observed_at":"2026-08-14T12:47:38.874664Z","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":"2026-08-14T12:47:38.878441Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.878441Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:89de958751ab2dcf6a39ef6555322ebc6841cf7cc959a89d817678a03ff23347","observation_id":"4c8c6118-29c4-47f3-8297-6138763a0bfc","resolution":{"observed_at":"2026-08-14T12:47:38.878441Z","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":"2026-08-14T12:47:38.881878Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.881878Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:dcecab3486df83389156a105f25344b17ab7c8d48932fc39b03e46b194a347d4","observation_id":"80a6df32-20f3-4140-a96f-c90c258b9457","resolution":{"observed_at":"2026-08-14T12:47:38.881878Z","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":"2026-08-14T12:47:38.885160Z","title":"Toeplitz and circulant matrices: A review","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.885160Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:15bc2222d52bfd04ca2693609813cda841319a0c60cff5448b534de91c7b7654","observation_id":"eebf595e-920b-4991-af4d-60b65e0881ce","resolution":{"observed_at":"2026-08-14T12:47:38.885160Z","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":"2026-08-14T12:47:38.888711Z","title":"Norm-controlled inversion in smooth Banach algebras, I.J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.888711Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:81a40bce0d29aeb16dfce4546034fbea79c5e91f0d10310278241509a1a1d0ac","observation_id":"08562fab-0cf0-4271-aa0f-0b1dd671d16f","resolution":{"observed_at":"2026-08-14T12:47:38.888711Z","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":"2026-08-14T12:47:38.892935Z","title":"Brown measures of unbounded operators aﬃliated with a ﬁnite von Neumann algebra","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.892935Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:85c289d14b1847035e8fc88cb3c7e981a0ce7ce1cfc205213100ebb1a2a3695d","observation_id":"17f583e4-9ed4-4d9d-ae9d-229cef7eb862","resolution":{"observed_at":"2026-08-14T12:47:38.892935Z","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":"2026-08-14T12:47:38.897005Z","title":"Invariant subspaces for operators in a general II 1-factor","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.897005Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:d8cded6eba3da5d4d63f532da3c9e790e3a392d94e8891b7fad84df37e2d0c9f","observation_id":"3394966b-3c31-461b-ab04-0c45a66c0355","resolution":{"observed_at":"2026-08-14T12:47:38.897005Z","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":"2026-08-14T12:47:38.901290Z","title":"C ∗-algebras and numerical analysis , volume 236 of Monographs and Textbooks in Pure and Applied Mathematics","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.901290Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:ad2146e44c0f62d96bd0eac5e59186ed8fbafa315fa9db248844e394d8721720","observation_id":"06318a03-8489-4e97-a920-e17afa94c699","resolution":{"observed_at":"2026-08-14T12:47:38.901290Z","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":"2026-08-14T12:47:38.904842Z","title":"Higham, and Lloyd N","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.904842Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:6263c3d06b1a399dcc35a74f9ac644f51183f592f534cda5840f41333058b562","observation_id":"82f707a7-d7b7-4b20-9d39-52c8c53d8ca3","resolution":{"observed_at":"2026-08-14T12:47:38.904842Z","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":"2026-08-14T12:47:38.908991Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.908991Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:568a7c241334ce3958de0fcd060bf53e2349085a7f02665b300270481ebf7cf7","observation_id":"b47c233e-006e-4196-a695-4a13ea0f62d9","resolution":{"observed_at":"2026-08-14T12:47:38.908991Z","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":"2026-08-14T12:47:38.913426Z","title":null,"venue":null,"work_id":null,"year":1950},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.913426Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:982eccac794901772b4d16d55e315a1041a6db7d2d49d1faef68a8773593a608","observation_id":"e0a0dc23-ba4c-4197-b987-7397bb61697b","resolution":{"observed_at":"2026-08-14T12:47:38.913426Z","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":"2026-08-14T12:47:38.917909Z","title":null,"venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.917909Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:d3b24687c859ef1cfa050fd42d846098254470c6364306aa680b157401244775","observation_id":"1ef6ae5f-2ecd-4ce6-9d63-6e10869412ba","resolution":{"observed_at":"2026-08-14T12:47:38.917909Z","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":"2026-08-14T12:47:38.922623Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.922623Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:74bf14c9d261399a33ff4137cb58001b357a2506cc9a41933836af88d14738ab","observation_id":"1246e05f-2786-4d60-b39c-24b117580229","resolution":{"observed_at":"2026-08-14T12:47:38.922623Z","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":"2026-08-14T12:47:38.927689Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.927689Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:b9d3861ee9341276a265933225e81414d5bc9b87f5ba5407bb5211f2114dd760","observation_id":"f073ed62-3e65-4409-bff1-60c246560fd5","resolution":{"observed_at":"2026-08-14T12:47:38.927689Z","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":"2026-08-14T12:47:38.931620Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.931620Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:389c0f4288ba67f1fb905c4a0e3a84e2f5a3979778ae25b1024ef3716847b3ff","observation_id":"168a1aeb-1a0f-48a8-92c8-d3dbf42ea472","resolution":{"observed_at":"2026-08-14T12:47:38.931620Z","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":"2026-08-14T12:47:40.384789Z","title":null,"venue":null,"work_id":"e52af38a-3396-449f-9d7d-afc5cb3cacb7","year":2011},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.935379Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:8c4b4f2e519aba5571e059ef74bf5430abd438fb9c1dd18a2fccfc3c04aabaa1","observation_id":"336badfd-7082-4ba3-85b4-f03be85b9a97","resolution":{"observed_at":"2026-08-14T12:47:40.390079Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.372653Z","title":"Haydock, Volker Heine, and M.J","venue":null,"work_id":"e2128246-12e2-484f-98f1-e9017a790fc4","year":1972},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.939190Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:46ed36989e580114d1996fc6aec8ef834213fe65f9a4e26a6223863c4102f4dc","observation_id":"7d15487c-bf44-4693-a864-c3b4415872d0","resolution":{"observed_at":"2026-08-14T12:47:40.376880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.359380Z","title":"Exponential integrators","venue":null,"work_id":"4cbaa4d6-e6f5-4565-8793-35a87475705e","year":2010},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.943890Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:f2c7202ef0d877d69d68ea77db0f630efa6ab7a782b2da3a2fab7e8b73823670","observation_id":"e29223ac-f01d-44dd-b406-fdd78bf3a81f","resolution":{"observed_at":"2026-08-14T12:47:40.363161Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.04533","last_updated":"2020-03-29T22:50:52Z","snapshot_observed_at":"2026-08-14T17:31:06.143502Z","submitted_at":"2019-01-14T19:40:40Z","title":"FEAST for differential eigenvalue problems","version":3},"cited_work":{"arxiv_id":"1901.04533","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.04533","snapshot_observed_at":"2026-08-14T12:47:39.288567Z","title":"FEAST for differential eigenvalue problems","venue":"math.NA","work_id":"d2b5d122-2da2-48a6-9cf3-3d795d5d1af6","year":2019},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.947944Z"},"links":{"cited_paper":"/paper/1901.04533","citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:33bfe7e1559f42ed487c883e0aec88096924edbc70bfc9351869cb596770bee9","observation_id":"c39e3a69-c870-4b5f-b40a-438808833f92","resolution":{"observed_at":"2026-08-14T12:47:39.295006Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.348158Z","title":"Hundertmark, M","venue":null,"work_id":"c5a3d6f1-25c9-4823-aba8-ad993b3bfb6a","year":2013},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.951867Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:6da9a89bc149ab838eb94bd9070336c567355b0cc403d98a18828290f50bd744","observation_id":"71de4de5-7d6b-4f90-b5cd-450cf93f35e6","resolution":{"observed_at":"2026-08-14T12:47:40.351719Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.336234Z","title":"Kadison and John R","venue":null,"work_id":"7bc90b84-ce57-4464-8248-cc4ac2f11927","year":1997},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.955833Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:363458161dfdee7bf50b8e9e0b1c938d2fe2d8a499eef9cf6f9d4330a38bf9a9","observation_id":"b18bb504-57a7-4304-938a-b3962d92e70d","resolution":{"observed_at":"2026-08-14T12:47:40.339929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.320675Z","title":"Kadison and John R","venue":null,"work_id":"6aafbbc3-c398-4102-a556-0d453da0806c","year":1997},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.959756Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:96b9f73055afcd8bbd450cbce7d3bbec382fb773ad708fd20c0f0b3e8d80c4e4","observation_id":"f8eb30dd-dbd2-49ab-8237-c3eb5e8fa5dc","resolution":{"observed_at":"2026-08-14T12:47:40.326121Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.299275Z","title":"Kallianpur and V","venue":null,"work_id":"f7e0cade-0478-4266-b622-c1ebb7a1c18a","year":1971},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.963627Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:6ed1e2f33e6519dd0390aa501c523ca298939693cdd5aa8b07cff49c87e6363e","observation_id":"97560a1f-a7d6-46ed-8e0d-89793f44a161","resolution":{"observed_at":"2026-08-14T12:47:40.305712Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.281865Z","title":"Random Schr¨ odinger operators","venue":null,"work_id":"f6b94a1b-666c-40df-b44d-6fdda6b41b42","year":1988},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.967882Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:32babbf6220f71c65fea6795741443a3f4068baaaae392670335662022858982","observation_id":"078ea05e-b2b9-401f-b520-0fc6bc96b634","resolution":{"observed_at":"2026-08-14T12:47:40.287000Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0709.3707","last_updated":"2007-09-24T08:28:38Z","snapshot_observed_at":"2026-08-15T10:31:42.615957Z","submitted_at":"2007-09-24T08:28:38Z","title":"An Invitation to Random Schroedinger operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0709.3707","snapshot_observed_at":"2026-08-14T12:47:38.971268Z","title":"An invitation to random Schr¨ odinger operators","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.971268Z"},"links":{"cited_paper":"/paper/0709.3707","citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:36c555eec784f10340957665bbb4d8246416cabb9a88133bbc8004864c566c8c","observation_id":"6ca6d8e7-22a9-49ac-9f30-36fb9b99e674","resolution":{"observed_at":"2026-08-14T12:47:38.971268Z","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":"2026-08-14T12:47:40.267175Z","title":"The integrated density of states for random Schr¨ odinger operators","venue":null,"work_id":"75b029a0-7588-47ca-8909-11472ee5d957","year":2007},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.975284Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:50c774e7c87bd6dae0d23a7c90f22cf1693f4fc5174a4f66e1c4617f6aa805a6","observation_id":"454e60bd-669b-4669-b314-2d98b2aa2f04","resolution":{"observed_at":"2026-08-14T12:47:40.271730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.250886Z","title":"Schr¨ odinger operators with sparse potentials: asymptotics of the Fourier transform of the spectral measure","venue":null,"work_id":"a6d54ac2-49f7-4dc1-bfb2-dbde01468c70","year":2001},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.979971Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:32449be3fdc7a72b10e42d967904b1fd4bf66fd7528e476f077f3c033541ea88","observation_id":"9138209e-b890-46d3-b7ec-43014d5871eb","resolution":{"observed_at":"2026-08-14T12:47:40.256969Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.233072Z","title":"Quantum dynamics and decompositions of singular continuous spectra","venue":null,"work_id":"365e5395-8a60-46b9-a517-3a8a5f7d1a38","year":1996},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.983730Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:8b751f5e282030d6725723820ca3d9a557ae56a5997df241a54ae6dec1be2c48","observation_id":"4c7fe263-3651-4bbf-b870-24bdaaabf78e","resolution":{"observed_at":"2026-08-14T12:47:40.238379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.219241Z","title":"Spectral pollution and second-order relative spectra for self- adjoint operators","venue":null,"work_id":"0a77645c-027b-4594-b581-223d398658c9","year":2004},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.987943Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:46422041af6b6adebf1e24a290824871db06302d3ac7d5c056e3be296961f5ce","observation_id":"e3a2fed0-d66c-42ac-bd19-18f2906ce241","resolution":{"observed_at":"2026-08-14T12:47:40.223890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:38.992305Z","title":"Approximating spectral densities of large matrices","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.992305Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:c340b0cf40b8a1bf9249027d08ca1370cafc4999ff29773638f9e9c903e163b1","observation_id":"67d7d6fe-0496-497a-9fd9-5eeb423e06ee","resolution":{"observed_at":"2026-08-14T12:47:38.992305Z","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":"2026-08-14T12:47:40.195002Z","title":"Inﬁnite matrices and their ﬁnite sections","venue":null,"work_id":"7a9127ba-fe6d-478a-bf06-839f25bbadaa","year":2006},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:38.996430Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:4b1fc04505d1e5a4c214cc93ecdefca5d43f3c14afe61f8bc8aed74d700bf01a","observation_id":"5f97e359-2579-420e-9842-6acd6ecce843","resolution":{"observed_at":"2026-08-14T12:47:40.200217Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.180256Z","title":"Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene","venue":null,"work_id":"b60ace7a-7a7d-4470-ade2-e8d2cba42a02","year":2019},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:39.001390Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:ba162e3fe6f19adef830983fd4794a1c4c3f9252309df4ccc2bbdc3de72f7e0a","observation_id":"c130ba0e-b6f2-4781-9f45-dc1c85fc0929","resolution":{"observed_at":"2026-08-14T12:47:40.184831Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.163362Z","title":"Neumann-Dirichlet maps and analysis of spectral pollution for non-self-adjoint elliptic PDEs with real essential spectrum","venue":null,"work_id":"7e431680-0b19-41c7-b948-0526b7252290","year":2010},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:39.005963Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:89092dd79a6eb821ac67c4acee986f5026a0f996d34ebcc88fc4dbf07483bb7c","observation_id":"811def1a-ec60-4353-b19c-80a73787b9e9","resolution":{"observed_at":"2026-08-14T12:47:40.169746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.147756Z","title":"Eigenvalues in spectral gaps of diﬀerential operators","venue":null,"work_id":"c7cde881-7fdd-4bad-999a-de2a322bf266","year":2012},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:39.010328Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:380214c6f0770b8c863a14da65a1dd71f547f0d6e5d29f12cd652c10e2fe2e24","observation_id":"27b370a4-4c64-4753-a617-9fc2c50a7d69","resolution":{"observed_at":"2026-08-14T12:47:40.154136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T12:47:40.132018Z","title":"McLachlan and G","venue":null,"work_id":"65b0b8f1-3841-4700-86cc-de448bc5c370","year":2002},"citing_paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types","version":3},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-14T12:47:39.015080Z"},"links":{"citing_paper":"/paper/1908.06721"},"observation_digest":"sha256:e8eb6ceb0b43adb982a6a2eecb42aaeb241c6c6d2f3b90a9ef7495128106b25b","observation_id":"192514f7-a4d0-4526-b6e8-2e78caa06141","resolution":{"observed_at":"2026-08-14T12:47:40.135749Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.06721","last_updated":"2021-03-01T09:27:54Z","latest_version":3,"primary_category":"math.SP","snapshot_observed_at":"2026-08-16T15:50:09.406108Z","submitted_at":"2019-08-19T12:03:48Z","title":"Computing Spectral Measures and Spectral Types"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":82,"verified_exact":2,"verified_fuzzy":16},"total_outbound_references":152},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 100 of 152 outbound references and 1 inbound Pith citation observation for arXiv:1908.06721."}