{"as_of":"2026-08-16T14:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:70451113fff003ce4852ed49004dbe43c903e212c1e451e45a239d05a460e18d","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:24:42.877083Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"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/1908.03460/citation-record","integrity":"/paper/1908.03460/integrity","json":"/paper/1908.03460/citation-record.json","paper":"/paper/1908.03460"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:24:43.068727Z","title":"Ainsworth, W","venue":null,"work_id":"54ba6899-76e6-41c8-90b4-42ed25227af4","year":1901},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.823556Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:da47fd69b8bea1f5909c242eb3fcc45cc24084c9af859e56fffc5de68db15424","observation_id":"46ae7ec9-7775-4dd8-ae20-20a1a46c03c1","resolution":{"observed_at":"2026-08-14T14:24:43.072562Z","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":"2026-08-14T14:24:43.058276Z","title":"Ainsworth, W","venue":null,"work_id":"e0b7e752-982d-43de-8a69-2df85ef26a28","year":2000},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.828400Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:fd1c827f6d3e4744aca6a1798bf08aea96f343ca7b2869dec90d92fa11bf5576","observation_id":"9035d8c0-4892-4c60-b8a8-209f352f5895","resolution":{"observed_at":"2026-08-14T14:24:43.061957Z","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":"2026-08-14T14:24:43.046870Z","title":null,"venue":null,"work_id":"f7b5c4de-4c35-4f37-8e57-cd9c9c7b74cf","year":1989},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.832991Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:fd3e81cef477eb9b5b9ab0690cce42759e72888389f89ee2b430f0b1031ab89a","observation_id":"e9bd0761-cf72-47a5-b426-85850bc777f6","resolution":{"observed_at":"2026-08-14T14:24:43.050783Z","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":"2026-08-14T14:24:43.035282Z","title":"Bezanson, A","venue":null,"work_id":"0fa7c6fd-e6e0-4b01-9f30-f52902f73617","year":2017},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.836798Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:8c75fa7fc4b448a4795888763464fd7d9e32acf69be0bb2a8f9f4f4ed9d82d2e","observation_id":"d5391892-da98-49ef-9e1e-6391a47da539","resolution":{"observed_at":"2026-08-14T14:24:43.039506Z","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":"2026-08-14T14:24:43.021864Z","title":null,"venue":null,"work_id":"add3aafc-0099-404e-97ad-cda3f2f90847","year":2009},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.840700Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:72b211d7dd28dcd9bb9b00a552716d28ad51a36a9e21d7d766cdd49320ac95e3","observation_id":"8987d161-cb57-4eb0-a777-2a9159ca3c03","resolution":{"observed_at":"2026-08-14T14:24:43.027076Z","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":"2026-08-14T14:24:43.009383Z","title":"Ern and J.-L","venue":null,"work_id":"e8adae79-a18e-42c8-a92d-7671dc7ef538","year":2004},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.845007Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:6e24a4337ab04dc06630909cd125b2618f6df6fb2baa846e953930b09ab299dd","observation_id":"78267af7-980d-45cb-8353-f42a9cc3ac32","resolution":{"observed_at":"2026-08-14T14:24:43.013619Z","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":"2026-08-14T14:24:42.996702Z","title":null,"venue":null,"work_id":"9e174804-5ccd-416a-ad67-347590c78946","year":1973},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.849120Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:76e243d0dc592a223789d1bff5760767c8c7910f0bc18eb310893780fd2a6ca7","observation_id":"0f977512-b4b4-456a-813a-ef18d6e8d008","resolution":{"observed_at":"2026-08-14T14:24:43.000825Z","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":"2026-08-14T14:24:42.983704Z","title":null,"venue":null,"work_id":"13ff55a2-33d1-4d15-a209-24e819b1ce56","year":2006},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.852761Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:b9bfd382982ff19e85def9903e2683c86ec31c737ea594e831da8d45e2382250","observation_id":"1e376071-14b4-4102-9ba3-a0fd34bbf668","resolution":{"observed_at":"2026-08-14T14:24:42.988548Z","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":"2026-08-14T14:24:42.969997Z","title":"StabilityofexplicitRunge- Kutta methods for high order ﬁnite element approximation of linear parabolic equations","venue":null,"work_id":"4ad5ae9d-7058-4ca4-9805-371dc36ed06d","year":2013},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.856651Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:764fbcb7168b989dfa85a28de5a89858de62bc32c4d2872d38e2b7aa16aa5393","observation_id":"d50aa99f-94f6-461a-91bd-dbe076db7c15","resolution":{"observed_at":"2026-08-14T14:24:42.975283Z","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":"2026-08-14T14:24:42.955079Z","title":"Kamenski and W","venue":null,"work_id":"b9272c57-1449-4997-b404-91e818e7d67d","year":2014},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.860714Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:2cdef97e6d11d488ad765b7941e564bd1f14c59bcfe040468b1db6769bdc838a","observation_id":"3d35bcc4-1b13-48a7-80f9-4ed591844b92","resolution":{"observed_at":"2026-08-14T14:24:42.959083Z","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":"2026-08-14T14:24:42.943499Z","title":"Kamenski, W","venue":null,"work_id":"ba41515b-3dbd-4823-af69-f52ecffaaf8c","year":2014},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.864746Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:23409628ce8fb4b2c253d0afb05ce80736582077144d5604836daa566e6ec638","observation_id":"749ef2c7-d0d4-449d-8ccd-8ca2ead4f9ce","resolution":{"observed_at":"2026-08-14T14:24:42.947269Z","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":"2026-08-14T14:24:42.931017Z","title":"Shewchuk","venue":null,"work_id":"2591ea84-aa0d-49bd-8dfb-bf0f9fcf6a43","year":2002},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.868696Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:a3815d1645b24a42342bf6b587404c55b93c77634a87d70103f70606ace75046","observation_id":"53015bc7-48f0-4937-bb44-c21af25fd36d","resolution":{"observed_at":"2026-08-14T14:24:42.935073Z","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":"2026-08-14T14:24:42.917530Z","title":"Zhu and Q","venue":null,"work_id":"6ff47a8c-a852-417d-b301-fe585174b93d","year":2011},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.872401Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:dc6e3b8207ae74a729848a74f3c151796f0bc5685b58b92e755954d479f4754a","observation_id":"2c9dbb82-ab30-4b95-bed6-b965c41e7bd2","resolution":{"observed_at":"2026-08-14T14:24:42.921541Z","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":"2026-08-14T14:24:42.904003Z","title":"Zhu and Q","venue":null,"work_id":"1d28b085-84e3-424b-9e59-47c90b1cc895","year":2014},"citing_paper":{"arxiv_id":"1908.03460","last_updated":"2021-06-23T13:08:57Z","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:24:42.877083Z"},"links":{"citing_paper":"/paper/1908.03460"},"observation_digest":"sha256:359292383b03015c8b97570803fc08c485b24fbe8170a4c63039ba70ddb85293","observation_id":"efc763d9-af0f-4df6-84ff-88f47caa0114","resolution":{"observed_at":"2026-08-14T14:24:42.909164Z","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":"1908.03460","last_updated":"2021-06-23T13:08:57Z","latest_version":3,"primary_category":"math.NA","snapshot_observed_at":"2026-08-16T03:22:11.243890Z","submitted_at":"2019-08-09T14:04:19Z","title":"Sharp bounds on the smallest eigenvalue of finite element equations with arbitrary meshes without regularity assumptions"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":10},"total_outbound_references":14},"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 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.03460."}