{"as_of":"2026-08-16T14:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9fa9ddbc9eec4511db83d347e7f390305e524cc0cb913f91c2a63e787fe488f3","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:12:07.080731Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.02266/citation-record","integrity":"/paper/1908.02266/integrity","json":"/paper/1908.02266/citation-record.json","paper":"/paper/1908.02266"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:12:07.388266Z","title":"Hartman, Ordinary Diﬀerential Equations, Classics in Applied Ma themat- ics 38, SIAM, Philadelphia, 2002","venue":null,"work_id":"144d1e2f-20c0-4600-975a-e141a22e8232","year":2002},"citing_paper":{"arxiv_id":"1908.02266","last_updated":"2019-08-06T17:44:03Z","snapshot_observed_at":"2026-08-14T14:46:40.934482Z","submitted_at":"2019-08-06T17:44:03Z","title":"The essential spectrum of canonical systems","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:12:07.013127Z"},"links":{"citing_paper":"/paper/1908.02266"},"observation_digest":"sha256:aaea5bbff7baa1b60faed7b0f4ad7557b72862eaaeba3e217cda61cb15b44ef2","observation_id":"2955eba3-4899-45f1-afc9-14ba84846e5c","resolution":{"observed_at":"2026-08-14T15:12:07.397356Z","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":"2026-08-14T15:12:07.364530Z","title":"Kac, A criterion for the discreteness of a singular canonical system, Funct","venue":null,"work_id":"b20ec9b6-65b4-412a-a2c2-d110b2f220af","year":1995},"citing_paper":{"arxiv_id":"1908.02266","last_updated":"2019-08-06T17:44:03Z","snapshot_observed_at":"2026-08-14T14:46:40.934482Z","submitted_at":"2019-08-06T17:44:03Z","title":"The essential spectrum of canonical systems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:12:07.020887Z"},"links":{"citing_paper":"/paper/1908.02266"},"observation_digest":"sha256:0f5f252f26709e1b25c5ed1e18521c4c6915dfbd61f1408d64c0ddd68d736f21","observation_id":"f534a533-ae34-48f3-9aea-75d975934b96","resolution":{"observed_at":"2026-08-14T15:12:07.372154Z","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":"2026-08-14T15:12:07.335700Z","title":"Kac and M.G","venue":null,"work_id":"7b55a9b8-8aa6-46c5-932f-ff4dd7529ca0","year":1958},"citing_paper":{"arxiv_id":"1908.02266","last_updated":"2019-08-06T17:44:03Z","snapshot_observed_at":"2026-08-14T14:46:40.934482Z","submitted_at":"2019-08-06T17:44:03Z","title":"The essential spectrum of canonical systems","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:12:07.033368Z"},"links":{"citing_paper":"/paper/1908.02266"},"observation_digest":"sha256:7a7919ad657804efba66f9302fc022d330bb90b9886a14ca7a4865fbf6bb01db","observation_id":"ea9eb740-901f-4321-a15f-ae76bfc060e8","resolution":{"observed_at":"2026-08-14T15:12:07.344776Z","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":"2026-08-14T15:12:07.298892Z","title":"Remling, Spectral Theory of Canonical Systems, de Gruyter Studies in Mathematics 70, Berlin/Boston, 2018","venue":null,"work_id":"d23da678-4e13-4915-81f7-3b050e3d0cf6","year":2018},"citing_paper":{"arxiv_id":"1908.02266","last_updated":"2019-08-06T17:44:03Z","snapshot_observed_at":"2026-08-14T14:46:40.934482Z","submitted_at":"2019-08-06T17:44:03Z","title":"The essential spectrum of canonical systems","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:12:07.042632Z"},"links":{"citing_paper":"/paper/1908.02266"},"observation_digest":"sha256:6c0aca8da32914bb702f395cc7f4dab041cdd5ab633b04f7fad47203360badab","observation_id":"2b10b84d-ad28-43c6-af9a-2ed9464316a7","resolution":{"observed_at":"2026-08-14T15:12:07.314966Z","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":"2026-08-14T15:12:07.263175Z","title":"Remling and K","venue":null,"work_id":"3f34bd8a-5a8d-4e15-9cb0-ec59844b5a53","year":null},"citing_paper":{"arxiv_id":"1908.02266","last_updated":"2019-08-06T17:44:03Z","snapshot_observed_at":"2026-08-14T14:46:40.934482Z","submitted_at":"2019-08-06T17:44:03Z","title":"The essential spectrum of canonical systems","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:12:07.052374Z"},"links":{"citing_paper":"/paper/1908.02266"},"observation_digest":"sha256:9925022bcf455d6834a35d5c32994880debb054b05495ba4727969ff17146766","observation_id":"0a934271-ca98-49c5-a028-a3766f754037","resolution":{"observed_at":"2026-08-14T15:12:07.277470Z","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":"1904.03662","last_updated":"2019-04-07T14:43:58Z","snapshot_observed_at":"2026-08-14T16:50:26.828217Z","submitted_at":"2019-04-07T14:43:58Z","title":"Canonical systems with discrete spectrum","version":1},"cited_work":{"arxiv_id":"1904.03662","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.03662","snapshot_observed_at":"2026-08-14T15:12:07.128877Z","title":"Canonical systems with discrete spectrum","venue":"math.SP","work_id":"ca8300d7-5c4d-4a5c-9bea-4075a34892bf","year":2019},"citing_paper":{"arxiv_id":"1908.02266","last_updated":"2019-08-06T17:44:03Z","snapshot_observed_at":"2026-08-14T14:46:40.934482Z","submitted_at":"2019-08-06T17:44:03Z","title":"The essential spectrum of canonical systems","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:12:07.059341Z"},"links":{"cited_paper":"/paper/1904.03662","citing_paper":"/paper/1908.02266"},"observation_digest":"sha256:64c7db9352bfef6b1d2b030bc92464a4e1c3be174d56a58fdde76fea3879136c","observation_id":"a0309b45-f1f4-4bdb-b4e2-ec86b10b424c","resolution":{"observed_at":"2026-08-14T15:12:07.146170Z","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":"2026-08-14T15:12:07.239523Z","title":"Weidmann, Spectral Theory of Ordinary Diﬀerential Operato rs, Springer Lecture Notes 1258, Springer, Berlin, 1987","venue":null,"work_id":"4d0d46a5-dfcb-43eb-a352-7e15a98bb83c","year":1987},"citing_paper":{"arxiv_id":"1908.02266","last_updated":"2019-08-06T17:44:03Z","snapshot_observed_at":"2026-08-14T14:46:40.934482Z","submitted_at":"2019-08-06T17:44:03Z","title":"The essential spectrum of canonical systems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:12:07.067619Z"},"links":{"citing_paper":"/paper/1908.02266"},"observation_digest":"sha256:3b3c086dc361fb48916ca7d1dea2672edd112a58250e0e1447aaaf54a1b5aed4","observation_id":"a7845677-dd9a-4631-b5f0-4d20bb195c95","resolution":{"observed_at":"2026-08-14T15:12:07.248915Z","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":"2026-08-14T15:12:07.208383Z","title":"Winkler, Canonical systems with a semibounded spectrum, Op","venue":null,"work_id":"ebd4394a-602c-414e-b7ac-4968bca7b986","year":1998},"citing_paper":{"arxiv_id":"1908.02266","last_updated":"2019-08-06T17:44:03Z","snapshot_observed_at":"2026-08-14T14:46:40.934482Z","submitted_at":"2019-08-06T17:44:03Z","title":"The essential spectrum of canonical systems","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:12:07.075844Z"},"links":{"citing_paper":"/paper/1908.02266"},"observation_digest":"sha256:ecbb5eabc9b0f59cb0c10229f1472a7cc0411209fc96de24d5ac918028894a96","observation_id":"f853bb02-c9f6-4543-bd41-4c56515b9dce","resolution":{"observed_at":"2026-08-14T15:12:07.217576Z","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":"2026-08-14T15:12:07.170652Z","title":"Winkler and H","venue":null,"work_id":"c4fe833e-dbf2-4de0-ae43-4f6ade8d5acd","year":2008},"citing_paper":{"arxiv_id":"1908.02266","last_updated":"2019-08-06T17:44:03Z","snapshot_observed_at":"2026-08-14T14:46:40.934482Z","submitted_at":"2019-08-06T17:44:03Z","title":"The essential spectrum of canonical systems","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:12:07.080731Z"},"links":{"citing_paper":"/paper/1908.02266"},"observation_digest":"sha256:9dc04bcc2b2196385e566d0e03267292e5498adb942f70f692381d23f077a499","observation_id":"d70a95de-9a95-4926-aee7-6f10a63a1a19","resolution":{"observed_at":"2026-08-14T15:12:07.187676Z","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":"1908.02266","last_updated":"2019-08-06T17:44:03Z","latest_version":1,"primary_category":"math.SP","snapshot_observed_at":"2026-08-14T14:46:40.934482Z","submitted_at":"2019-08-06T17:44:03Z","title":"The essential spectrum of canonical systems"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":1,"verified_fuzzy":8},"total_outbound_references":9},"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 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:1908.02266."}