{"as_of":"2026-08-20T22:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9da6d9134354b3a5f4c38926027f4d6d4fa9281f62d0b8b1e95b1be1e384558c","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T17:42:28.662018Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-07T14:28:11.266866Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1605.09234","last_updated":"2016-05-30T13:48:09Z","snapshot_observed_at":"2026-08-14T21:55:08.089918Z","submitted_at":"2016-05-30T13:48:09Z","title":"Two minimization problems on non-scattering solutions to mass-subcritical nonlinear Schr\\\"odinger equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.09234","snapshot_observed_at":"2026-08-07T15:11:36.485013Z","title":"Masaki, Two minimization problems on non-scattering solutions to mass-subcritical non- linear Schr¨odinger equation, arXiv: 1605.09234","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.16110","last_updated":"2025-05-22T01:30:42Z","snapshot_observed_at":"2026-08-20T04:18:24.267344Z","submitted_at":"2025-05-22T01:30:42Z","title":"Sharp Brezis--Seeger--Van Schaftingen--Yung Formulae for Higher-Order Gradients in Ball Banach Function Spaces","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T15:11:36.485013Z"},"links":{"cited_paper":"/paper/1605.09234","citing_paper":"/paper/2505.16110"},"observation_digest":"sha256:01500984ff1afe6b25db6c5b0795a55c3ca116ed665c053ae2f9c8368abe649e","observation_id":"7bb39cdc-5059-484c-ad1e-77bec56c3832","resolution":{"observed_at":"2026-08-07T15:11:36.485013Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1605.09234","last_updated":"2016-05-30T13:48:09Z","snapshot_observed_at":"2026-08-14T21:55:08.089918Z","submitted_at":"2016-05-30T13:48:09Z","title":"Two minimization problems on non-scattering solutions to mass-subcritical nonlinear Schr\\\"odinger equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.09234","snapshot_observed_at":"2026-08-07T14:28:54.010441Z","title":"Masaki, Two minimization problems on non-scattering solutions to mass- subcritical nonlinear Schrödinger equation, Preprint, arXiv:1605.09234, 2016","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.19130","last_updated":"2025-05-25T12:56:23Z","snapshot_observed_at":"2026-08-07T14:17:43.504630Z","submitted_at":"2025-05-25T12:56:23Z","title":"Bourgain-Morrey-Lorentz spaces and operators on them","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T14:28:54.010441Z"},"links":{"cited_paper":"/paper/1605.09234","citing_paper":"/paper/2505.19130"},"observation_digest":"sha256:fe156843d673b0d35063d2fdd6682111f0ae4a41bb6c505a61b47c05a45d148e","observation_id":"2bf32e88-d336-46fe-9d21-831980629344","resolution":{"observed_at":"2026-08-07T14:28:54.010441Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1605.09234","last_updated":"2016-05-30T13:48:09Z","snapshot_observed_at":"2026-08-14T21:55:08.089918Z","submitted_at":"2016-05-30T13:48:09Z","title":"Two minimization problems on non-scattering solutions to mass-subcritical nonlinear Schr\\\"odinger equation","version":1},"cited_work":{"arxiv_id":"1605.09234","doi":null,"metadata_source":"pith","pith_arxiv_id":"1605.09234","snapshot_observed_at":"2026-08-07T14:28:11.266866Z","title":"Two minimization problems on non-scattering solutions to mass-subcritical nonlinear Schr\\\"odinger equation","venue":"math.AP","work_id":"ba37dddb-f1e3-4322-a5be-d2faccb6cb7f","year":2016},"citing_paper":{"arxiv_id":"2505.19135","last_updated":"2025-05-25T13:17:53Z","snapshot_observed_at":"2026-08-13T21:29:50.315474Z","submitted_at":"2025-05-25T13:17:53Z","title":"Weighted Bourgain-Morrey-Besov type and Triebel-Lizorkin type spaces associated with operators","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T14:28:08.644180Z"},"links":{"cited_paper":"/paper/1605.09234","citing_paper":"/paper/2505.19135"},"observation_digest":"sha256:9df360c7a2c01decb9d5a7dc8d4969c556bf891cbb1435c14b0e2fc1c5633291","observation_id":"7654a282-3616-4a80-9f3b-4f8410709565","resolution":{"observed_at":"2026-08-07T14:28:11.272322Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1605.09234","last_updated":"2016-05-30T13:48:09Z","snapshot_observed_at":"2026-08-14T21:55:08.089918Z","submitted_at":"2016-05-30T13:48:09Z","title":"Two minimization problems on non-scattering solutions to mass-subcritical nonlinear Schr\\\"odinger equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.09234","snapshot_observed_at":"2026-08-07T14:29:49.484995Z","title":"arXiv:1605.09234, (2016)","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.19143","last_updated":"2025-08-05T00:54:50Z","snapshot_observed_at":"2026-08-15T23:19:46.242153Z","submitted_at":"2025-05-25T13:23:55Z","title":"The preduals of Banach space valued Bourgain-Morrey spaces","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T14:29:49.484995Z"},"links":{"cited_paper":"/paper/1605.09234","citing_paper":"/paper/2505.19143"},"observation_digest":"sha256:cf9af21010cbd68c33a959ea3f945cc958df76a1c0c6be7d4a38ee29329b576f","observation_id":"71b51dd8-7a6b-4ff4-b380-f7dcdb496788","resolution":{"observed_at":"2026-08-07T14:29:49.484995Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1605.09234","last_updated":"2016-05-30T13:48:09Z","snapshot_observed_at":"2026-08-14T21:55:08.089918Z","submitted_at":"2016-05-30T13:48:09Z","title":"Two minimization problems on non-scattering solutions to mass-subcritical nonlinear Schr\\\"odinger equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.09234","snapshot_observed_at":"2026-08-15T17:42:28.662018Z","title":"Masaki, Two minimization problems on non-scattering solutions to mass-subcritical non- linear Schr¨odinger equation, arXiv: 1605.09234","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.08536","last_updated":"2025-08-12T00:58:14Z","snapshot_observed_at":"2026-08-15T17:33:08.761348Z","submitted_at":"2025-08-12T00:58:14Z","title":"Characterization of Vanishing Campanato Spaces via Ball Banach Function Spaces and Its Applications","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T17:42:28.662018Z"},"links":{"cited_paper":"/paper/1605.09234","citing_paper":"/paper/2508.08536"},"observation_digest":"sha256:f898424b3a3225de5f34ab14af1d43aed707764a240f31356f2122e6c6f03acd","observation_id":"4a1c4492-6e90-4134-bbef-e1618b24c87f","resolution":{"observed_at":"2026-08-15T17:42:28.662018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1605.09234","last_updated":"2016-05-30T13:48:09Z","snapshot_observed_at":"2026-08-14T21:55:08.089918Z","submitted_at":"2016-05-30T13:48:09Z","title":"Two minimization problems on non-scattering solutions to mass-subcritical nonlinear Schr\\\"odinger equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1605.09234","snapshot_observed_at":"2026-08-15T14:39:40.382017Z","title":"Masaki, Two minimization problems on non-scattering solutions to mass-subcritical non- linear Schr¨odinger equation, arXiv:1605.09234","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06813","last_updated":"2026-08-07T05:08:21Z","snapshot_observed_at":"2026-08-19T04:49:43.713497Z","submitted_at":"2026-08-07T05:08:21Z","title":"Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-15T14:39:40.382017Z"},"links":{"cited_paper":"/paper/1605.09234","citing_paper":"/paper/2608.06813"},"observation_digest":"sha256:e2227d13cd0fa2b9f7a23e416ff8f96055f3ca17a10fbb07636f83288d82ce90","observation_id":"318895a2-ee17-4f2a-801c-da741a6d9bd8","resolution":{"observed_at":"2026-08-15T14:39:40.382017Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1605.09234/citation-record","integrity":"/paper/1605.09234/integrity","json":"/paper/1605.09234/citation-record.json","paper":"/paper/1605.09234"},"outbound":[],"paper":{"arxiv_id":"1605.09234","last_updated":"2016-05-30T13:48:09Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-14T21:55:08.089918Z","submitted_at":"2016-05-30T13:48:09Z","title":"Two minimization problems on non-scattering solutions to mass-subcritical nonlinear Schr\\\"odinger equation"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:1605.09234."}