{"as_of":"2026-08-13T23:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1490bbbb251dcf0ac5edd4e0e01e0126d048ffdd3936e5b21982d9e51c03cb5f","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":"2026-08-13T06:32:02.005865+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":"2026-08-10T22:50:21.005020Z","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":"2026-05-11T11:06:05.619527Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2304.08050","last_updated":"2023-04-17T08:10:38Z","snapshot_observed_at":"2026-08-13T18:01:21.419029Z","submitted_at":"2023-04-17T08:10:38Z","title":"Observability estimates for the Schr{\\\"o}dinger equation in the plane with periodic bounded potentials from measurable sets","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.08050","snapshot_observed_at":"2026-08-10T22:50:21.005020Z","title":"Preprin t, arXiv:2304.08050","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.01258","last_updated":"2025-01-02T13:53:35Z","snapshot_observed_at":"2026-08-11T02:15:42.132678Z","submitted_at":"2025-01-02T13:53:35Z","title":"Quantitative observability for the Schr\\\"{o}dinger equation with an anharmonic oscillator","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T22:50:21.005020Z"},"links":{"cited_paper":"/paper/2304.08050","citing_paper":"/paper/2501.01258"},"observation_digest":"sha256:66d1035bfdef92e1899601f8e99a2c8cf1ff1697d3c7bd262ab8a0e1157cdb61","observation_id":"104514b1-5934-4dde-bb23-44e1ffaa6665","resolution":{"observed_at":"2026-08-10T22:50:21.005020Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.08050","last_updated":"2023-04-17T08:10:38Z","snapshot_observed_at":"2026-08-13T18:01:21.419029Z","submitted_at":"2023-04-17T08:10:38Z","title":"Observability estimates for the Schr{\\\"o}dinger equation in the plane with periodic bounded potentials from measurable sets","version":1},"cited_work":{"arxiv_id":"2304.08050","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2304.08050","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Le Balc’h and J","venue":null,"work_id":"49a10cfb-65ff-41b7-b235-471666b54d91","year":2023},"citing_paper":{"arxiv_id":"2604.11695","last_updated":"2026-04-13T16:33:26Z","snapshot_observed_at":"2026-08-06T13:30:18.179599Z","submitted_at":"2026-04-13T16:33:26Z","title":"Observability of Schr\\\"odinger equations in Euclidean space","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-10T15:09:16.005205Z"},"links":{"cited_paper":"/paper/2304.08050","citing_paper":"/paper/2604.11695"},"observation_digest":"sha256:55bf1d9fcace27027eb5196611c3490e093827b47a4c7f1ee8db1ff5af2b3d3c","observation_id":"d69c255e-c43b-4e27-b64c-b1dcaf248c6d","resolution":{"observed_at":"2026-05-11T11:06:05.651571Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2304.08050","last_updated":"2023-04-17T08:10:38Z","snapshot_observed_at":"2026-08-13T18:01:21.419029Z","submitted_at":"2023-04-17T08:10:38Z","title":"Observability estimates for the Schr{\\\"o}dinger equation in the plane with periodic bounded potentials from measurable sets","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.08050","snapshot_observed_at":"2026-08-08T19:20:22.172050Z","title":"Le Balc’h and J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.04357","last_updated":"2026-08-05T01:56:32Z","snapshot_observed_at":"2026-08-10T02:44:45.055534Z","submitted_at":"2026-08-05T01:56:32Z","title":"Controllable subspaces and real-part observability for Schr\\\"odinger equations on $\\mathbb T^d$","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-08T19:20:22.172050Z"},"links":{"cited_paper":"/paper/2304.08050","citing_paper":"/paper/2608.04357"},"observation_digest":"sha256:ec35adcee520b3d9ba178b5308b96d9314c81c3ce7a24263c55b28cdb2d1b541","observation_id":"84b3be4a-c854-47a8-98a7-8ef625ae018d","resolution":{"observed_at":"2026-08-08T19:20:22.172050Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2304.08050/citation-record","integrity":"/paper/2304.08050/integrity","json":"/paper/2304.08050/citation-record.json","paper":"/paper/2304.08050"},"outbound":[],"paper":{"arxiv_id":"2304.08050","last_updated":"2023-04-17T08:10:38Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-13T18:01:21.419029Z","submitted_at":"2023-04-17T08:10:38Z","title":"Observability estimates for the Schr{\\\"o}dinger equation in the plane with periodic bounded potentials from measurable sets"},"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 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2304.08050."}