{"as_of":"2026-08-16T07:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2a80ba1c14677794d53c3622958002ae0deac45f55e11bb819abee278c85b3c3","coverage":[{"denominator":4,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:15:15.539397Z","state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.05624/citation-record","integrity":"/paper/1908.05624/integrity","json":"/paper/1908.05624/citation-record.json","paper":"/paper/1908.05624"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:15:15.620582Z","title":"Yagisita, Holomorphic diﬀerential forms of complex manifolds on commutative Banach algebras and a few related problems, preprint","venue":null,"work_id":"d14a2356-eff6-4f16-99d7-221fd422c224","year":null},"citing_paper":{"arxiv_id":"1908.05624","last_updated":"2019-09-22T02:35:16Z","snapshot_observed_at":"2026-08-16T04:44:19.288357Z","submitted_at":"2019-08-15T16:26:07Z","title":"A remark on locally direct product subsets in a topological Cartesian space","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:15:15.523152Z"},"links":{"citing_paper":"/paper/1908.05624"},"observation_digest":"sha256:98d0c775e55c8510a7085200f19b7e452f82d3139b964e0f818e6cf2c968b7a9","observation_id":"efb3fc25-fec6-4777-afbc-0c482f9837f7","resolution":{"observed_at":"2026-08-14T13:15:15.626503Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:15:15.605152Z","title":"Yagisita, Cartan-Thullen theorem for a Cn-holomorphic convexity and a related problem, preprint","venue":null,"work_id":"e0e437a3-2050-49f8-8165-88eb0bde8405","year":null},"citing_paper":{"arxiv_id":"1908.05624","last_updated":"2019-09-22T02:35:16Z","snapshot_observed_at":"2026-08-16T04:44:19.288357Z","submitted_at":"2019-08-15T16:26:07Z","title":"A remark on locally direct product subsets in a topological Cartesian space","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:15:15.529049Z"},"links":{"citing_paper":"/paper/1908.05624"},"observation_digest":"sha256:898142be684ededd3f48a1848f39eb96a084825e59d2da6d621f603f4a9f5c88","observation_id":"37e147dc-d93f-47d9-ba1c-12d15918612e","resolution":{"observed_at":"2026-08-14T13:15:15.609747Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:15:15.589360Z","title":"Yagisita, A manifold on the real commutative Banach algebra C([0, 1]; R) that cannot be embedded in the ﬁnite-dimensional Euclidean space C([0, 1]; Rn), preprint","venue":null,"work_id":"54c64e5c-77f8-4e14-a6d3-5ed3a224d8fb","year":null},"citing_paper":{"arxiv_id":"1908.05624","last_updated":"2019-09-22T02:35:16Z","snapshot_observed_at":"2026-08-16T04:44:19.288357Z","submitted_at":"2019-08-15T16:26:07Z","title":"A remark on locally direct product subsets in a topological Cartesian space","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:15:15.534141Z"},"links":{"citing_paper":"/paper/1908.05624"},"observation_digest":"sha256:04f31b4e86115da276541e73e6171f6453eb929b9a247d17718445ff36fff171","observation_id":"d8714128-1f6b-4aeb-b82e-3a8f508e36be","resolution":{"observed_at":"2026-08-14T13:15:15.594554Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:15:15.571173Z","title":"https://www.researchgate.net/proﬁle/ Hiroki Yagisita","venue":null,"work_id":"3a8b6dc1-7f95-4b3f-8fb1-eab3390f9455","year":2019},"citing_paper":{"arxiv_id":"1908.05624","last_updated":"2019-09-22T02:35:16Z","snapshot_observed_at":"2026-08-16T04:44:19.288357Z","submitted_at":"2019-08-15T16:26:07Z","title":"A remark on locally direct product subsets in a topological Cartesian space","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:15:15.539397Z"},"links":{"citing_paper":"/paper/1908.05624"},"observation_digest":"sha256:45d12738560e3e17a7620b149d0d445cfece7d62ff6f2da23ccf68cee04e8165","observation_id":"93fb417e-cbeb-42ed-8c8d-77dd3e39eaaa","resolution":{"observed_at":"2026-08-14T13:15:15.577850Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.05624","last_updated":"2019-09-22T02:35:16Z","latest_version":4,"primary_category":"math.GN","snapshot_observed_at":"2026-08-16T04:44:19.288357Z","submitted_at":"2019-08-15T16:26:07Z","title":"A remark on locally direct product subsets in a topological Cartesian space"},"reference_resolution":{"displayed":4,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":4},"total_outbound_references":4},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:1908.05624."}