{"as_of":"2026-08-10T03:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6682e0d46da851d8a91d440897cdc26e94ef116dfa950c44dfd74f1773986e11","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T18:33:19.257331Z","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":"2026-05-24T11:44:25.203304Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2010.04059","last_updated":"2021-07-01T08:33:01Z","snapshot_observed_at":"2026-08-09T18:49:56.902648Z","submitted_at":"2020-10-08T15:24:46Z","title":"Generalised representations as q-connections in integral $p$-adic Hodge theory","version":2},"cited_work":{"arxiv_id":"2010.04059","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2010.04059","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Morrow, T","venue":null,"work_id":"eafcb2ae-5032-41d2-8795-983991aeb338","year":2010},"citing_paper":{"arxiv_id":"2207.07623","last_updated":"2026-02-13T10:24:46Z","snapshot_observed_at":"2026-08-07T23:11:05.874150Z","submitted_at":"2022-07-15T17:35:04Z","title":"$G$-torsors on perfectoid spaces","version":3},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-05-24T11:40:44.682127Z"},"links":{"cited_paper":"/paper/2010.04059","citing_paper":"/paper/2207.07623"},"observation_digest":"sha256:e5bc848c1ae7da2be2077d5a5ade6dcbc143a1b91d2c632430493c47e80634cb","observation_id":"46211e49-8a70-4c96-b6f9-e70eaae8051e","resolution":{"observed_at":"2026-05-24T11:44:25.209306Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.04059","last_updated":"2021-07-01T08:33:01Z","snapshot_observed_at":"2026-08-09T18:49:56.902648Z","submitted_at":"2020-10-08T15:24:46Z","title":"Generalised representations as q-connections in integral $p$-adic Hodge theory","version":2},"cited_work":{"arxiv_id":"2010.04059","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2010.04059","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Morrow, T","venue":null,"work_id":"eafcb2ae-5032-41d2-8795-983991aeb338","year":2010},"citing_paper":{"arxiv_id":"2405.19829","last_updated":"2026-06-30T16:03:19Z","snapshot_observed_at":"2026-07-06T18:22:31.384923Z","submitted_at":"2024-05-30T08:40:44Z","title":"On the $(\\varphi,\\Gamma)$-modules corresponding to crystalline representations","version":3},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-05-24T01:33:59.417250Z"},"links":{"cited_paper":"/paper/2010.04059","citing_paper":"/paper/2405.19829"},"observation_digest":"sha256:90d4ebc873f7457d77f3a82de5b1b941884e57c685d35d431c3db390c6de6fa1","observation_id":"4e0f007c-51cc-4174-874d-b054b637b745","resolution":{"observed_at":"2026-05-24T01:35:56.412749Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.04059","last_updated":"2021-07-01T08:33:01Z","snapshot_observed_at":"2026-08-09T18:49:56.902648Z","submitted_at":"2020-10-08T15:24:46Z","title":"Generalised representations as q-connections in integral $p$-adic Hodge theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.04059","snapshot_observed_at":"2026-08-06T18:33:19.257331Z","title":"Morrow and T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.08451","last_updated":"2025-07-11T09:47:48Z","snapshot_observed_at":"2026-08-08T11:14:47.973086Z","submitted_at":"2025-07-11T09:47:48Z","title":"A prismatic-etale comparison theorem in the semistable case","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T18:33:19.257331Z"},"links":{"cited_paper":"/paper/2010.04059","citing_paper":"/paper/2507.08451"},"observation_digest":"sha256:f805b30229730ae7ad5202c1df47e7d1b11ad05c33a9331b3281c825dd16efd0","observation_id":"bcbaf40b-3352-4790-af92-57923fe5e047","resolution":{"observed_at":"2026-08-06T18:33:19.257331Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.04059","last_updated":"2021-07-01T08:33:01Z","snapshot_observed_at":"2026-08-09T18:49:56.902648Z","submitted_at":"2020-10-08T15:24:46Z","title":"Generalised representations as q-connections in integral $p$-adic Hodge theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.04059","snapshot_observed_at":"2026-08-05T05:52:06.126006Z","title":"Morrow and T","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2509.04954","last_updated":"2025-09-05T09:20:02Z","snapshot_observed_at":"2026-08-09T21:23:15.610677Z","submitted_at":"2025-09-05T09:20:02Z","title":"Prismatic cohomology and $A_{\\inf}$-cohomology with coefficients","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T05:52:06.126006Z"},"links":{"cited_paper":"/paper/2010.04059","citing_paper":"/paper/2509.04954"},"observation_digest":"sha256:87902ada3f97b0e2d3c64b893384bbdff3db300a7bfa525583adcf976603c3a9","observation_id":"9e86c650-12c3-4c24-8c75-d84321c57103","resolution":{"observed_at":"2026-08-05T05:52:06.126006Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.04059","last_updated":"2021-07-01T08:33:01Z","snapshot_observed_at":"2026-08-09T18:49:56.902648Z","submitted_at":"2020-10-08T15:24:46Z","title":"Generalised representations as q-connections in integral $p$-adic Hodge theory","version":2},"cited_work":{"arxiv_id":"2010.04059","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2010.04059","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Morrow, T","venue":null,"work_id":"eafcb2ae-5032-41d2-8795-983991aeb338","year":2010},"citing_paper":{"arxiv_id":"2604.17559","last_updated":"2026-06-19T07:22:06Z","snapshot_observed_at":"2026-07-06T23:04:37.370465Z","submitted_at":"2026-04-19T17:59:02Z","title":"A remark on an integral structure of the imperfect coefficient ring of $(\\varphi,\\Gamma)$-modules","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-05-10T05:11:43.777329Z"},"links":{"cited_paper":"/paper/2010.04059","citing_paper":"/paper/2604.17559"},"observation_digest":"sha256:2ad9891af7aa1b4fc1a14705ba3b2e44b8c13c9595129846d41696822307cb23","observation_id":"9d2780f1-e67d-491a-b9a3-11294e6d6a00","resolution":{"observed_at":"2026-05-10T09:38:42.949800Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2010.04059/citation-record","integrity":"/paper/2010.04059/integrity","json":"/paper/2010.04059/citation-record.json","paper":"/paper/2010.04059"},"outbound":[],"paper":{"arxiv_id":"2010.04059","last_updated":"2021-07-01T08:33:01Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-09T18:49:56.902648Z","submitted_at":"2020-10-08T15:24:46Z","title":"Generalised representations as q-connections in integral $p$-adic Hodge theory"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2010.04059."}