{"as_of":"2026-08-23T11:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8d00acc8333c7c84302114407086353d77884e8bcd81944be82b1b15b1856053","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T20:13:03.807243Z","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":"2026-07-02T01:16:25.066069Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.09471","last_updated":"2024-09-14T15:44:21Z","snapshot_observed_at":"2026-08-19T20:54:14.754342Z","submitted_at":"2024-09-14T15:44:21Z","title":"Randomized sketched TT-GMRES for linear systems with tensor structure","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.09471","snapshot_observed_at":"2026-08-11T20:13:03.807243Z","title":"Ran domized sketched TT-GMRES for linear systems with tensor structure","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.06111","last_updated":"2024-12-09T00:11:01Z","snapshot_observed_at":"2026-08-20T17:34:47.735985Z","submitted_at":"2024-12-09T00:11:01Z","title":"Randomized algorithms for streaming low-rank approximation in tree tensor network format","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T20:13:03.807243Z"},"links":{"cited_paper":"/paper/2409.09471","citing_paper":"/paper/2412.06111"},"observation_digest":"sha256:9e08340417d9b9b84f09d98b70183ebf755ca10f213bea0a83a89b25636b178d","observation_id":"dbc12adb-96c2-4836-b229-13842f6678fd","resolution":{"observed_at":"2026-08-11T20:13:03.807243Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.09471","last_updated":"2024-09-14T15:44:21Z","snapshot_observed_at":"2026-08-19T20:54:14.754342Z","submitted_at":"2024-09-14T15:44:21Z","title":"Randomized sketched TT-GMRES for linear systems with tensor structure","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.09471","snapshot_observed_at":"2026-08-09T15:52:18.995743Z","title":"Bucci, D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.01293","last_updated":"2025-02-03T12:12:52Z","snapshot_observed_at":"2026-08-09T15:44:29.000495Z","submitted_at":"2025-02-03T12:12:52Z","title":"TT-LSQR For Tensor Least Squares Problems and Application to Data Mining *","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T15:52:18.995743Z"},"links":{"cited_paper":"/paper/2409.09471","citing_paper":"/paper/2502.01293"},"observation_digest":"sha256:5ee413f29807c6212ac5c49574a43711f61c3481ee07f33e8ba9b6e315cc816f","observation_id":"6cf18a06-2e5d-4cbf-b97f-4653c71cfb80","resolution":{"observed_at":"2026-08-09T15:52:18.995743Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.09471","last_updated":"2024-09-14T15:44:21Z","snapshot_observed_at":"2026-08-19T20:54:14.754342Z","submitted_at":"2024-09-14T15:44:21Z","title":"Randomized sketched TT-GMRES for linear systems with tensor structure","version":1},"cited_work":{"arxiv_id":"2409.09471","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.09471","snapshot_observed_at":"2026-07-02T01:16:25.066069Z","title":"Bucci, D","venue":null,"work_id":"69ac6e10-f9ac-4979-9ab4-5feef96ef5d5","year":2024},"citing_paper":{"arxiv_id":"2506.18408","last_updated":"2026-05-08T13:18:54Z","snapshot_observed_at":"2026-08-02T22:02:13.361284Z","submitted_at":"2025-06-23T08:43:47Z","title":"Stabilizing randomized GMRES through flexible GMRES","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-19T08:20:45.834801Z"},"links":{"cited_paper":"/paper/2409.09471","citing_paper":"/paper/2506.18408"},"observation_digest":"sha256:ccb9264538750d69d56eab83031bca9731448003d21d196d3bf1bdfcbcb2f4d0","observation_id":"fe7b9383-42d4-4e7f-9041-5568ce9763a0","resolution":{"observed_at":"2026-05-19T08:22:10.991765Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.09471","last_updated":"2024-09-14T15:44:21Z","snapshot_observed_at":"2026-08-19T20:54:14.754342Z","submitted_at":"2024-09-14T15:44:21Z","title":"Randomized sketched TT-GMRES for linear systems with tensor structure","version":1},"cited_work":{"arxiv_id":"2409.09471","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.09471","snapshot_observed_at":"2026-07-02T01:16:25.066069Z","title":"Bucci, D","venue":null,"work_id":"69ac6e10-f9ac-4979-9ab4-5feef96ef5d5","year":2024},"citing_paper":{"arxiv_id":"2606.02930","last_updated":"2026-06-01T22:25:24Z","snapshot_observed_at":"2026-08-17T02:57:04.201644Z","submitted_at":"2026-06-01T22:25:24Z","title":"Fast Tensor Network Imaginary Time Evolution by Implicit Stepping on Logarithmic Grids","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-28T12:13:23.577684Z"},"links":{"cited_paper":"/paper/2409.09471","citing_paper":"/paper/2606.02930"},"observation_digest":"sha256:331712a68fc3eb666f97dbfdeee19d26b3fe95cc115276bd782d3e7b7dba4662","observation_id":"a7b7823d-2657-4a1f-b345-19fcef23648e","resolution":{"observed_at":"2026-07-02T01:16:25.068081Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2409.09471/citation-record","integrity":"/paper/2409.09471/integrity","json":"/paper/2409.09471/citation-record.json","paper":"/paper/2409.09471"},"outbound":[],"paper":{"arxiv_id":"2409.09471","last_updated":"2024-09-14T15:44:21Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-19T20:54:14.754342Z","submitted_at":"2024-09-14T15:44:21Z","title":"Randomized sketched TT-GMRES for linear systems with tensor structure"},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2409.09471."}