{"as_of":"2026-08-11T11:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2201e14a080b2212cc9111a16430ae22d17d83fec7bbf1c074860583a0b07ca9","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":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":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-22T16:18:18.640825Z","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":"2026-05-22T16:21:47.030113Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1605.03934","last_updated":"2020-01-01T15:07:49Z","snapshot_observed_at":"2026-07-06T04:56:06.327164Z","submitted_at":"2016-05-12T19:14:13Z","title":"Contraadjusted modules, contramodules, and reduced cotorsion modules","version":8},"cited_work":{"arxiv_id":"1605.03934","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1605.03934","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Positselski","venue":null,"work_id":"972d029b-ef3b-4bd5-9fe0-8a105299e85d","year":2017},"citing_paper":{"arxiv_id":"2505.07739","last_updated":"2026-04-07T13:22:47Z","snapshot_observed_at":"2026-08-08T10:57:27.091909Z","submitted_at":"2025-05-12T16:49:33Z","title":"Torsion modules and differential operators in infinitely many variables","version":7},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-22T16:18:18.640825Z"},"links":{"cited_paper":"/paper/1605.03934","citing_paper":"/paper/2505.07739"},"observation_digest":"sha256:a57897332f763bd68e520b0e45b1e384b15e50af5d3afffd2b3a244120d76997","observation_id":"3e0e6e32-7339-4ad8-a442-75caa0b2d9d7","resolution":{"observed_at":"2026-05-22T16:21:47.032678Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1605.03934","last_updated":"2020-01-01T15:07:49Z","snapshot_observed_at":"2026-07-06T04:56:06.327164Z","submitted_at":"2016-05-12T19:14:13Z","title":"Contraadjusted modules, contramodules, and reduced cotorsion modules","version":8},"cited_work":{"arxiv_id":"1605.03934","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1605.03934","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Positselski","venue":null,"work_id":"972d029b-ef3b-4bd5-9fe0-8a105299e85d","year":2017},"citing_paper":{"arxiv_id":"2507.15425","last_updated":"2026-03-17T10:17:20Z","snapshot_observed_at":"2026-08-03T01:41:20.212760Z","submitted_at":"2025-07-21T09:25:52Z","title":"A relative version of Bass' theorem about finite-dimensional algebras","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-19T04:29:16.223367Z"},"links":{"cited_paper":"/paper/1605.03934","citing_paper":"/paper/2507.15425"},"observation_digest":"sha256:7cf9ab52bde9998ca99a76206fc662c0a733dbf06c0af1630dcd1e24681ecd11","observation_id":"1a904465-acff-487f-89b9-1e8547adafd6","resolution":{"observed_at":"2026-05-19T04:32:03.726250Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1605.03934","last_updated":"2020-01-01T15:07:49Z","snapshot_observed_at":"2026-07-06T04:56:06.327164Z","submitted_at":"2016-05-12T19:14:13Z","title":"Contraadjusted modules, contramodules, and reduced cotorsion modules","version":8},"cited_work":{"arxiv_id":"1605.03934","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1605.03934","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Positselski","venue":null,"work_id":"972d029b-ef3b-4bd5-9fe0-8a105299e85d","year":2017},"citing_paper":{"arxiv_id":"2603.15048","last_updated":"2026-04-06T15:09:31Z","snapshot_observed_at":"2026-07-06T22:49:14.817559Z","submitted_at":"2026-03-16T09:58:04Z","title":"Homomorphisms of topological rings and change-of-scalar functors","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-15T10:35:40.727342Z"},"links":{"cited_paper":"/paper/1605.03934","citing_paper":"/paper/2603.15048"},"observation_digest":"sha256:24dd4e7780fd1b7663ff5732b73352a7a659e80a448568f8187af425a484e1aa","observation_id":"9c068a73-e1a9-49e5-b613-3ae48a730b24","resolution":{"observed_at":"2026-05-15T10:39:56.899280Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1605.03934","last_updated":"2020-01-01T15:07:49Z","snapshot_observed_at":"2026-07-06T04:56:06.327164Z","submitted_at":"2016-05-12T19:14:13Z","title":"Contraadjusted modules, contramodules, and reduced cotorsion modules","version":8},"cited_work":{"arxiv_id":"1605.03934","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1605.03934","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Positselski","venue":null,"work_id":"972d029b-ef3b-4bd5-9fe0-8a105299e85d","year":2017},"citing_paper":{"arxiv_id":"2603.27732","last_updated":"2026-08-06T16:12:54Z","snapshot_observed_at":"2026-08-09T23:12:09.800028Z","submitted_at":"2026-03-29T15:11:00Z","title":"Contraherent cosheaves of contramodules on Noetherian formal schemes","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-14T21:55:16.954465Z"},"links":{"cited_paper":"/paper/1605.03934","citing_paper":"/paper/2603.27732"},"observation_digest":"sha256:88b1d2f111468b91a488354f61773bd202d26b46c0b63787346488cce1a9a579","observation_id":"fafaf39a-3658-48e4-9729-00750d2baaaf","resolution":{"observed_at":"2026-05-14T21:58:03.613908Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1605.03934/citation-record","integrity":"/paper/1605.03934/integrity","json":"/paper/1605.03934/citation-record.json","paper":"/paper/1605.03934"},"outbound":[],"paper":{"arxiv_id":"1605.03934","last_updated":"2020-01-01T15:07:49Z","latest_version":8,"primary_category":"math.CT","snapshot_observed_at":"2026-07-06T04:56:06.327164Z","submitted_at":"2016-05-12T19:14:13Z","title":"Contraadjusted modules, contramodules, and reduced cotorsion modules"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1605.03934."}