{"as_of":"2026-08-17T16:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a2ce6efb80d32a691fa2b6ce0aaceae9270329e4dd03e05561a431aec4ffb285","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T12:52:17.821918Z","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":"2026-05-22T09:06:20.247451Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.06684","last_updated":"2024-01-12T16:46:37Z","snapshot_observed_at":"2026-08-16T14:27:54.267610Z","submitted_at":"2024-01-12T16:46:37Z","title":"Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.06684","snapshot_observed_at":"2026-08-08T12:52:17.821918Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.07434","last_updated":"2025-02-11T10:22:37Z","snapshot_observed_at":"2026-08-16T08:05:12.544382Z","submitted_at":"2025-02-11T10:22:37Z","title":"QCD Anderson transition with overlap valence quarks on a twisted-mass sea -- an update","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-08T12:52:17.821918Z"},"links":{"cited_paper":"/paper/2401.06684","citing_paper":"/paper/2502.07434"},"observation_digest":"sha256:fa603ad4398d353f7d7361e327ea63ef9081dc53b24be2820360365f8e10a95f","observation_id":"1c44dbab-5b92-4b72-aabe-fb02ca0c3eef","resolution":{"observed_at":"2026-08-08T12:52:17.821918Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.06684","last_updated":"2024-01-12T16:46:37Z","snapshot_observed_at":"2026-08-16T14:27:54.267610Z","submitted_at":"2024-01-12T16:46:37Z","title":"Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root","version":1},"cited_work":{"arxiv_id":"2401.06684","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.06684","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Frommer, G","venue":null,"work_id":"b4ecf99e-79fc-49eb-919d-50dad46332e8","year":2024},"citing_paper":{"arxiv_id":"2605.21679","last_updated":"2026-05-20T19:37:31Z","snapshot_observed_at":"2026-08-12T11:15:49.683691Z","submitted_at":"2026-05-20T19:37:31Z","title":"Component-wise accurate computation of the square root of an M-matrix","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-22T09:05:49.565749Z"},"links":{"cited_paper":"/paper/2401.06684","citing_paper":"/paper/2605.21679"},"observation_digest":"sha256:fd712c7d6cefd79a26b27f9ee1f1318e93896c64904c63e6f5aebfc2d36f9271","observation_id":"afcd766f-3b94-4900-abe2-59ef1402cc2b","resolution":{"observed_at":"2026-05-22T09:06:20.249698Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.06684","last_updated":"2024-01-12T16:46:37Z","snapshot_observed_at":"2026-08-16T14:27:54.267610Z","submitted_at":"2024-01-12T16:46:37Z","title":"Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.06684","snapshot_observed_at":"2026-08-06T00:44:05.531518Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.01003","last_updated":"2026-08-02T05:14:02Z","snapshot_observed_at":"2026-08-13T23:13:41.112747Z","submitted_at":"2026-08-02T05:14:02Z","title":"An Integral-Based Framework for Preconditioning $f(A)b$","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-06T00:44:05.531518Z"},"links":{"cited_paper":"/paper/2401.06684","citing_paper":"/paper/2608.01003"},"observation_digest":"sha256:1d739d309c17a892e94875c2e8d25ea1bc112dcc10db1225c9769ff4f3b1d823","observation_id":"89fe2af8-1fd5-4aca-97ea-579bafb2408d","resolution":{"observed_at":"2026-08-06T00:44:05.531518Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2401.06684/citation-record","integrity":"/paper/2401.06684/integrity","json":"/paper/2401.06684/citation-record.json","paper":"/paper/2401.06684"},"outbound":[],"paper":{"arxiv_id":"2401.06684","last_updated":"2024-01-12T16:46:37Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-16T14:27:54.267610Z","submitted_at":"2024-01-12T16:46:37Z","title":"Polynomial Preconditioning for the Action of the Matrix Square Root and Inverse Square Root"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2401.06684."}