{"as_of":"2026-08-17T22:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bf9e9baa9fae6d6a496a285aa30f58c06b69a24268d096bc8748d797b424d4a7","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":"2026-08-17T06:30:58.91139+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":"2026-08-14T15:03:21.361349Z","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":"2026-05-15T10:39:56.948528Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1807.10671","last_updated":"2021-11-29T23:52:44Z","snapshot_observed_at":"2026-08-17T13:49:51.620833Z","submitted_at":"2018-07-27T15:11:17Z","title":"Contramodules over pro-perfect topological rings","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.10671","snapshot_observed_at":"2026-08-14T15:03:21.361349Z","title":"and Positselski, L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.02117","last_updated":"2021-03-21T11:26:38Z","snapshot_observed_at":"2026-08-14T14:50:44.947886Z","submitted_at":"2019-08-06T13:00:03Z","title":"Open embeddings and pseudoflat epimorphisms","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:03:21.361349Z"},"links":{"cited_paper":"/paper/1807.10671","citing_paper":"/paper/1908.02117"},"observation_digest":"sha256:cce25163f8bde702dd25af17faaf4138f9ea4bd08f7f1fe2182c88906e5e0f11","observation_id":"62705508-78c4-4531-9b82-49c3ce72b020","resolution":{"observed_at":"2026-08-14T15:03:21.361349Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.10671","last_updated":"2021-11-29T23:52:44Z","snapshot_observed_at":"2026-08-17T13:49:51.620833Z","submitted_at":"2018-07-27T15:11:17Z","title":"Contramodules over pro-perfect topological rings","version":6},"cited_work":{"arxiv_id":"1807.10671","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1807.10671","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Positselski","venue":null,"work_id":"1ca73d4a-df91-43e0-8248-a6e53025dcf5","year":2022},"citing_paper":{"arxiv_id":"2603.15048","last_updated":"2026-04-06T15:09:31Z","snapshot_observed_at":"2026-08-13T08:24:17.340847Z","submitted_at":"2026-03-16T09:58:04Z","title":"Homomorphisms of topological rings and change-of-scalar functors","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-15T10:35:40.727342Z"},"links":{"cited_paper":"/paper/1807.10671","citing_paper":"/paper/2603.15048"},"observation_digest":"sha256:a7854e0c8b84b734ab5fb2ec7bf08d1c0beb716520a905c13600f0f14de15ed4","observation_id":"2850d90f-6c6b-4912-8dc4-b902322da52c","resolution":{"observed_at":"2026-05-15T10:39:56.950679Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1807.10671","last_updated":"2021-11-29T23:52:44Z","snapshot_observed_at":"2026-08-17T13:49:51.620833Z","submitted_at":"2018-07-27T15:11:17Z","title":"Contramodules over pro-perfect topological rings","version":6},"cited_work":{"arxiv_id":"1807.10671","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1807.10671","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Positselski","venue":null,"work_id":"1ca73d4a-df91-43e0-8248-a6e53025dcf5","year":2022},"citing_paper":{"arxiv_id":"2603.27732","last_updated":"2026-08-06T16:12:54Z","snapshot_observed_at":"2026-08-13T15:08:35.694781Z","submitted_at":"2026-03-29T15:11:00Z","title":"Contraherent cosheaves of contramodules on Noetherian formal schemes","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-14T21:55:16.954465Z"},"links":{"cited_paper":"/paper/1807.10671","citing_paper":"/paper/2603.27732"},"observation_digest":"sha256:fe75692dd2747ddbb9a309b842da85d4f432675e1a5fecccc2ccbd7bdb980787","observation_id":"19b0aa29-8cd1-4baa-a4d0-760f5304f874","resolution":{"observed_at":"2026-05-14T21:58:03.512511Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1807.10671/citation-record","integrity":"/paper/1807.10671/integrity","json":"/paper/1807.10671/citation-record.json","paper":"/paper/1807.10671"},"outbound":[],"paper":{"arxiv_id":"1807.10671","last_updated":"2021-11-29T23:52:44Z","latest_version":6,"primary_category":"math.CT","snapshot_observed_at":"2026-08-17T13:49:51.620833Z","submitted_at":"2018-07-27T15:11:17Z","title":"Contramodules over pro-perfect topological rings"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1807.10671."}