{"as_of":"2026-08-11T16:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8de20befcf4035dbac6f70650c222fada4114ac2d7f7c23d710f22d342e1ff63","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:34:55.802175Z","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":"2026-05-14T18:07:33.734158Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.09970","last_updated":"2025-04-08T12:34:58Z","snapshot_observed_at":"2026-08-03T18:22:43.239271Z","submitted_at":"2024-04-15T17:48:28Z","title":"Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.09970","snapshot_observed_at":"2026-08-07T15:34:55.802175Z","title":"Global solutions for cubic quasilin ear schroedinger flows in two and higher dimensions","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.14966","last_updated":"2025-05-20T23:10:35Z","snapshot_observed_at":"2026-08-07T15:24:08.947565Z","submitted_at":"2025-05-20T23:10:35Z","title":"On the optimal Sobolev threshold for evolution equations with rough nonlinearities","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T15:34:55.802175Z"},"links":{"cited_paper":"/paper/2404.09970","citing_paper":"/paper/2505.14966"},"observation_digest":"sha256:390078b7fdcc99cab3bfb824120f937872bbacd360aa74bd29daca3e31441f66","observation_id":"181007eb-aa1b-4b87-8114-f6c6c56607fe","resolution":{"observed_at":"2026-08-07T15:34:55.802175Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.09970","last_updated":"2025-04-08T12:34:58Z","snapshot_observed_at":"2026-08-03T18:22:43.239271Z","submitted_at":"2024-04-15T17:48:28Z","title":"Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions","version":2},"cited_work":{"arxiv_id":"2404.09970","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.09970","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Ifrim and D","venue":null,"work_id":"2c63994c-e613-43e8-81a1-d50bcfc221fe","year":2024},"citing_paper":{"arxiv_id":"2605.13629","last_updated":"2026-05-13T14:57:07Z","snapshot_observed_at":"2026-08-03T10:22:01.136514Z","submitted_at":"2026-05-13T14:57:07Z","title":"Orbital stability of black solitons for quasilinear Schr\\\"odinger equations with nonzero conditions at infinity","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-14T18:05:04.130182Z"},"links":{"cited_paper":"/paper/2404.09970","citing_paper":"/paper/2605.13629"},"observation_digest":"sha256:282e50b808fc84f9fd8683323add724db72e05e2b0021fead74d607854cbb268","observation_id":"ec360657-0445-4881-8903-fbdca2dcdde6","resolution":{"observed_at":"2026-05-14T18:07:33.737366Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2404.09970/citation-record","integrity":"/paper/2404.09970/integrity","json":"/paper/2404.09970/citation-record.json","paper":"/paper/2404.09970"},"outbound":[],"paper":{"arxiv_id":"2404.09970","last_updated":"2025-04-08T12:34:58Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-03T18:22:43.239271Z","submitted_at":"2024-04-15T17:48:28Z","title":"Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2404.09970."}