{"as_of":"2026-08-14T00:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fd3345ea4865eb831e96cf6843ad2b13beb38e1fbebb17999ab65b0f3699cd32","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T19:09:16.449839Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-06-29T10:23:17.920973Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.14750","last_updated":"2026-07-13T14:16:44Z","snapshot_observed_at":"2026-08-10T16:23:58.859231Z","submitted_at":"2025-03-18T21:37:42Z","title":"Matrix nearness problems and eigenvalue optimization","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.14750","snapshot_observed_at":"2026-08-10T19:09:16.449839Z","title":"Guglielmi and C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2501.10745","last_updated":"2025-08-13T09:25:07Z","snapshot_observed_at":"2026-08-10T18:59:00.656407Z","submitted_at":"2025-01-18T12:11:01Z","title":"Changing the ranking in eigenvector centrality of a weighted graph by small perturbations","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T19:09:16.449839Z"},"links":{"cited_paper":"/paper/2503.14750","citing_paper":"/paper/2501.10745"},"observation_digest":"sha256:ae8851b99cf709aa00c744e2928345405e3506460f56c169129e867f9b4d700e","observation_id":"3fb7c3b1-75c4-4488-ad1c-60f382f4311f","resolution":{"observed_at":"2026-08-10T19:09:16.449839Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.14750","last_updated":"2026-07-13T14:16:44Z","snapshot_observed_at":"2026-08-10T16:23:58.859231Z","submitted_at":"2025-03-18T21:37:42Z","title":"Matrix nearness problems and eigenvalue optimization","version":4},"cited_work":{"arxiv_id":"2503.14750","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.14750","snapshot_observed_at":"2026-07-14T03:21:16.982046Z","title":"Guglielmi and C","venue":null,"work_id":"b09bf1b5-de2f-45bb-af38-980bbbcb5692","year":2025},"citing_paper":{"arxiv_id":"2509.26344","last_updated":"2026-07-27T13:15:43Z","snapshot_observed_at":"2026-08-04T13:38:38.549060Z","submitted_at":"2025-09-30T14:50:45Z","title":"Nearest matrix with multiple eigenvalues by Riemannian optimization","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-18T12:06:55.042292Z"},"links":{"cited_paper":"/paper/2503.14750","citing_paper":"/paper/2509.26344"},"observation_digest":"sha256:863c7913877390de2803c81eae69ff29d00db8ff3a424695e607f24b768ab46e","observation_id":"a43e09af-26d0-4da6-95dd-a385af39bd36","resolution":{"observed_at":"2026-07-14T03:21:16.982046Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.14750","last_updated":"2026-07-13T14:16:44Z","snapshot_observed_at":"2026-08-10T16:23:58.859231Z","submitted_at":"2025-03-18T21:37:42Z","title":"Matrix nearness problems and eigenvalue optimization","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.14750","snapshot_observed_at":"2026-08-04T13:38:40.208847Z","title":"Guglielmi and C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.26344","last_updated":"2026-07-27T13:15:43Z","snapshot_observed_at":"2026-08-04T13:38:38.549060Z","submitted_at":"2025-09-30T14:50:45Z","title":"Nearest matrix with multiple eigenvalues by Riemannian optimization","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T13:38:40.208847Z"},"links":{"cited_paper":"/paper/2503.14750","citing_paper":"/paper/2509.26344"},"observation_digest":"sha256:4b531e22fbdef17c580d723885ddec69f09b3fe0d0e7534441e01549812144b7","observation_id":"82055e92-0854-4d75-802f-d261fd17e549","resolution":{"observed_at":"2026-08-04T13:38:40.208847Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.14750","last_updated":"2026-07-13T14:16:44Z","snapshot_observed_at":"2026-08-10T16:23:58.859231Z","submitted_at":"2025-03-18T21:37:42Z","title":"Matrix nearness problems and eigenvalue optimization","version":4},"cited_work":{"arxiv_id":"2503.14750","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.14750","snapshot_observed_at":"2026-07-14T03:21:16.982046Z","title":"Guglielmi and C","venue":null,"work_id":"b09bf1b5-de2f-45bb-af38-980bbbcb5692","year":2025},"citing_paper":{"arxiv_id":"2605.13891","last_updated":"2026-05-12T06:41:30Z","snapshot_observed_at":"2026-08-04T17:46:24.846541Z","submitted_at":"2026-05-12T06:41:30Z","title":"Characterization of stability radii for robustly asymptotically stable dissipative Hamiltonian differential-algebraic systems","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-15T05:47:58.073265Z"},"links":{"cited_paper":"/paper/2503.14750","citing_paper":"/paper/2605.13891"},"observation_digest":"sha256:166522a994d02d29e7c97b8b46887a8927b561e3632e1ee8cb37dbc789f466b6","observation_id":"169fc92b-8d51-4f96-8600-e794c1c976fb","resolution":{"observed_at":"2026-07-14T03:21:16.982046Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.14750","last_updated":"2026-07-13T14:16:44Z","snapshot_observed_at":"2026-08-10T16:23:58.859231Z","submitted_at":"2025-03-18T21:37:42Z","title":"Matrix nearness problems and eigenvalue optimization","version":4},"cited_work":{"arxiv_id":"2503.14750","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.14750","snapshot_observed_at":"2026-07-14T03:21:16.982046Z","title":"Guglielmi and C","venue":null,"work_id":"b09bf1b5-de2f-45bb-af38-980bbbcb5692","year":2025},"citing_paper":{"arxiv_id":"2605.28980","last_updated":"2026-05-27T18:35:40Z","snapshot_observed_at":"2026-08-12T07:55:38.638665Z","submitted_at":"2026-05-27T18:35:40Z","title":"Manifold-based Algorithms for the Hadamard Decomposition","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-29T10:21:51.030749Z"},"links":{"cited_paper":"/paper/2503.14750","citing_paper":"/paper/2605.28980"},"observation_digest":"sha256:4f7c6e8fad9c416227199180e4e78469ef927d223015551ea030b34a2cc90041","observation_id":"fa593707-411f-4941-97de-3848bddbf1d2","resolution":{"observed_at":"2026-07-14T03:21:16.982046Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2503.14750/citation-record","integrity":"/paper/2503.14750/integrity","json":"/paper/2503.14750/citation-record.json","paper":"/paper/2503.14750"},"outbound":[],"paper":{"arxiv_id":"2503.14750","last_updated":"2026-07-13T14:16:44Z","latest_version":4,"primary_category":"math.NA","snapshot_observed_at":"2026-08-10T16:23:58.859231Z","submitted_at":"2025-03-18T21:37:42Z","title":"Matrix nearness problems and eigenvalue optimization"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2503.14750."}