{"as_of":"2026-08-07T10:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2b8c48fcb1e4f13786b85c63a586601bddd027dbe1013f6bd2bb09e5b8ed2b12","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":"2026-08-07T06:34:17.273281+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":"2026-07-14T17:25:43.075009Z","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":"2026-07-04T14:59:55.745935Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.02800","last_updated":"2024-01-05T13:28:27Z","snapshot_observed_at":"2026-07-06T17:11:58.725249Z","submitted_at":"2024-01-05T13:28:27Z","title":"On the lowest possible dimension of supports of solutions to the discrete Schrodinger equation","version":1},"cited_work":{"arxiv_id":"2401.02800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.02800","snapshot_observed_at":"2026-07-04T14:59:55.745935Z","title":"arXiv:2401.02800 , year=","venue":null,"work_id":"8d1289bb-1695-4b63-b953-6effc39b5ca9","year":null},"citing_paper":{"arxiv_id":"2606.26149","last_updated":"2026-07-11T20:52:56Z","snapshot_observed_at":"2026-07-16T23:17:54.402453Z","submitted_at":"2026-06-23T02:20:20Z","title":"On Support Cardinality for the Discrete Schr\\\"odinger Equation","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-26T01:59:51.801546Z"},"links":{"cited_paper":"/paper/2401.02800","citing_paper":"/paper/2606.26149"},"observation_digest":"sha256:2e093d4dd4da2628908a11ca3166ab81c14a468b9739e5cbde81cb72fb794e57","observation_id":"fd2b5afa-2e4c-41c2-962f-0e9f0284b5b0","resolution":{"observed_at":"2026-07-04T14:59:55.747271Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.02800","last_updated":"2024-01-05T13:28:27Z","snapshot_observed_at":"2026-07-06T17:11:58.725249Z","submitted_at":"2024-01-05T13:28:27Z","title":"On the lowest possible dimension of supports of solutions to the discrete Schrodinger equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.02800","snapshot_observed_at":"2026-07-14T17:25:43.075009Z","title":"Krymskii","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.26149","last_updated":"2026-07-11T20:52:56Z","snapshot_observed_at":"2026-07-16T23:17:54.402453Z","submitted_at":"2026-06-23T02:20:20Z","title":"On Support Cardinality for the Discrete Schr\\\"odinger Equation","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-14T17:25:43.075009Z"},"links":{"cited_paper":"/paper/2401.02800","citing_paper":"/paper/2606.26149"},"observation_digest":"sha256:4340fcea5a0d0a4fb055bc1a3bd1c5f93ba346a2e30dea697d1a10b5a7640bb9","observation_id":"b4168b3c-f8c6-44d8-a321-71fa01f9c328","resolution":{"observed_at":"2026-07-14T17:25:43.075009Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2401.02800/citation-record","integrity":"/paper/2401.02800/integrity","json":"/paper/2401.02800/citation-record.json","paper":"/paper/2401.02800"},"outbound":[],"paper":{"arxiv_id":"2401.02800","last_updated":"2024-01-05T13:28:27Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-07-06T17:11:58.725249Z","submitted_at":"2024-01-05T13:28:27Z","title":"On the lowest possible dimension of supports of solutions to the discrete Schrodinger 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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2401.02800."}