{"as_of":"2026-08-14T02:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7b006a76ce34cfcaf16989fce9d5ac7d1281fa0e8883c198ea28d4712c5b9909","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":"2026-08-13T06:32:02.005865+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":"2026-08-06T22:22:10.038224Z","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":"2026-08-06T10:45:22.583136Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.05357","last_updated":"2025-05-08T15:49:21Z","snapshot_observed_at":"2026-08-07T15:48:44.616376Z","submitted_at":"2025-05-08T15:49:21Z","title":"Normalized solutions for the nonlinear Schr\\\"odinger equation with potential: the purely Sobolev critical case","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.05357","snapshot_observed_at":"2026-08-06T22:22:10.038224Z","title":"Verzini and J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.22371","last_updated":"2025-06-27T16:37:04Z","snapshot_observed_at":"2026-08-09T01:24:07.700889Z","submitted_at":"2025-06-27T16:37:04Z","title":"Energy local minimizers for the nonlinear Schr\\\"{o}dinger equation on product spaces","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T22:22:10.038224Z"},"links":{"cited_paper":"/paper/2505.05357","citing_paper":"/paper/2506.22371"},"observation_digest":"sha256:f8061d795155d8fdc6e9f42acc3b9e26f7176a4a2b593350b068d765cc48e930","observation_id":"afde5acc-5812-4956-b7ed-9dec7cd7cbc0","resolution":{"observed_at":"2026-08-06T22:22:10.038224Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.05357","last_updated":"2025-05-08T15:49:21Z","snapshot_observed_at":"2026-08-07T15:48:44.616376Z","submitted_at":"2025-05-08T15:49:21Z","title":"Normalized solutions for the nonlinear Schr\\\"odinger equation with potential: the purely Sobolev critical case","version":1},"cited_work":{"arxiv_id":"2505.05357","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.05357","snapshot_observed_at":"2026-08-06T10:45:22.583136Z","title":"Normalized solutions for the nonlinear Schr\\\"odinger equation with potential: the purely Sobolev critical case","venue":"math.AP","work_id":"8f777e68-a515-49c8-9d89-6fa5c0a8bf9a","year":2025},"citing_paper":{"arxiv_id":"2507.23639","last_updated":"2025-07-31T15:16:32Z","snapshot_observed_at":"2026-08-08T05:39:38.570832Z","submitted_at":"2025-07-31T15:16:32Z","title":"Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T10:45:22.556162Z"},"links":{"cited_paper":"/paper/2505.05357","citing_paper":"/paper/2507.23639"},"observation_digest":"sha256:b9d704fd91ccd45ab93680cee2038f520766610fe5709ed9256ea3988ef82f3a","observation_id":"7de4d892-6b01-42c3-8828-75126d92acae","resolution":{"observed_at":"2026-08-06T10:45:22.587657Z","resolver_source":"local_arxiv","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/2505.05357/citation-record","integrity":"/paper/2505.05357/integrity","json":"/paper/2505.05357/citation-record.json","paper":"/paper/2505.05357"},"outbound":[],"paper":{"arxiv_id":"2505.05357","last_updated":"2025-05-08T15:49:21Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-07T15:48:44.616376Z","submitted_at":"2025-05-08T15:49:21Z","title":"Normalized solutions for the nonlinear Schr\\\"odinger equation with potential: the purely Sobolev critical case"},"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 2 inbound Pith citation observations for arXiv:2505.05357."}