{"as_of":"2026-08-10T15:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2221b6c1d125f67ddd11610265a043f0fcce5922e2fe27ad8c215cc9d040c0e8","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":"2026-08-10T06:31:04.303077+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":"2026-08-07T15:30:58.217964Z","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":"2026-05-24T02:33:47.674905Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.04561","last_updated":"2025-01-07T14:39:41Z","snapshot_observed_at":"2026-08-10T07:29:05.012871Z","submitted_at":"2024-08-08T16:19:29Z","title":"Approximability and Rouquier dimension for noncommutative algebras over schemes","version":3},"cited_work":{"arxiv_id":"2408.04561","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.04561","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Approximability and rouquier dimension for noncommuative algebras over schemes","venue":null,"work_id":"ab2fd6bb-8336-4ee1-a9dd-446d0e0e4c18","year":2024},"citing_paper":{"arxiv_id":"2404.08578","last_updated":"2026-05-15T20:02:33Z","snapshot_observed_at":"2026-07-06T17:59:25.200363Z","submitted_at":"2024-04-12T16:23:21Z","title":"Classification and nonexistence for $t$-structures on derived categories of schemes","version":5},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-05-24T02:31:09.826677Z"},"links":{"cited_paper":"/paper/2408.04561","citing_paper":"/paper/2404.08578"},"observation_digest":"sha256:c30561f6300f1be5bacbf4b6003e3b3428dee583870840ee01007a2ce090fcd5","observation_id":"28eff08b-25d6-4fa9-b594-1b63f15d062b","resolution":{"observed_at":"2026-05-24T02:33:47.677902Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.04561","last_updated":"2025-01-07T14:39:41Z","snapshot_observed_at":"2026-08-10T07:29:05.012871Z","submitted_at":"2024-08-08T16:19:29Z","title":"Approximability and Rouquier dimension for noncommutative algebras over schemes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.04561","snapshot_observed_at":"2026-08-07T15:30:58.217964Z","title":"[DLR25b] Timothy De Deyn, Pat Lank and Kabeer Manali Rahul","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.15230","last_updated":"2025-05-21T08:00:42Z","snapshot_observed_at":"2026-08-08T15:26:05.705795Z","submitted_at":"2025-05-21T08:00:42Z","title":"Categorical absorption for hereditary orders","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-07T15:30:58.217964Z"},"links":{"cited_paper":"/paper/2408.04561","citing_paper":"/paper/2505.15230"},"observation_digest":"sha256:cbe3b84664f113835d58ab09819b33f47cd0fd4405316b2265380e7a0a5b4ae4","observation_id":"c14add6e-b25b-4aed-8983-9e375066e8b9","resolution":{"observed_at":"2026-08-07T15:30:58.217964Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.04561","last_updated":"2025-01-07T14:39:41Z","snapshot_observed_at":"2026-08-10T07:29:05.012871Z","submitted_at":"2024-08-08T16:19:29Z","title":"Approximability and Rouquier dimension for noncommutative algebras over schemes","version":3},"cited_work":{"arxiv_id":"2408.04561","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.04561","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Approximability and rouquier dimension for noncommuative algebras over schemes","venue":null,"work_id":"ab2fd6bb-8336-4ee1-a9dd-446d0e0e4c18","year":2024},"citing_paper":{"arxiv_id":"2604.10478","last_updated":"2026-04-12T06:19:38Z","snapshot_observed_at":"2026-07-06T22:59:05.519456Z","submitted_at":"2026-04-12T06:19:38Z","title":"Finiteness of homological dimensions in triangulated categories","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-10T16:23:11.911243Z"},"links":{"cited_paper":"/paper/2408.04561","citing_paper":"/paper/2604.10478"},"observation_digest":"sha256:5e33163f16e3d54bf72526a98df3af9c55ed1edcc7545e3e476a6ff8521cfbf8","observation_id":"6a99e1c5-6e60-4b7b-8036-e1253a5fe348","resolution":{"observed_at":"2026-05-11T08:56:03.342961Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.04561","last_updated":"2025-01-07T14:39:41Z","snapshot_observed_at":"2026-08-10T07:29:05.012871Z","submitted_at":"2024-08-08T16:19:29Z","title":"Approximability and Rouquier dimension for noncommutative algebras over schemes","version":3},"cited_work":{"arxiv_id":"2408.04561","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.04561","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Approximability and rouquier dimension for noncommuative algebras over schemes","venue":null,"work_id":"ab2fd6bb-8336-4ee1-a9dd-446d0e0e4c18","year":2024},"citing_paper":{"arxiv_id":"2605.13416","last_updated":"2026-07-24T07:09:28Z","snapshot_observed_at":"2026-08-10T11:48:42.688167Z","submitted_at":"2026-05-13T12:10:54Z","title":"Remarks on diagonal dimension for algebraic stacks","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-14T18:12:53.906827Z"},"links":{"cited_paper":"/paper/2408.04561","citing_paper":"/paper/2605.13416"},"observation_digest":"sha256:fb33449c60048f4f2c3dcb296941cbb9978d80c879ec4011e3e0226b8fc980de","observation_id":"02d8a3ed-471e-4181-96b8-dfa308a9a190","resolution":{"observed_at":"2026-05-14T18:19:23.779908Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.04561","last_updated":"2025-01-07T14:39:41Z","snapshot_observed_at":"2026-08-10T07:29:05.012871Z","submitted_at":"2024-08-08T16:19:29Z","title":"Approximability and Rouquier dimension for noncommutative algebras over schemes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.04561","snapshot_observed_at":"2026-08-02T14:21:37.181536Z","title":"Approximability and rouquier dimension for noncommutative algebras over schemes","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.13416","last_updated":"2026-07-24T07:09:28Z","snapshot_observed_at":"2026-08-10T11:48:42.688167Z","submitted_at":"2026-05-13T12:10:54Z","title":"Remarks on diagonal dimension for algebraic stacks","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-02T14:21:37.181536Z"},"links":{"cited_paper":"/paper/2408.04561","citing_paper":"/paper/2605.13416"},"observation_digest":"sha256:a359e9336dacde19ba1eb3acb92ae4f7c2327042742889792b708ec7852c2a0f","observation_id":"b473e3f0-0c78-4cf0-998f-b6cb6594a103","resolution":{"observed_at":"2026-08-02T14:21:37.181536Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2408.04561/citation-record","integrity":"/paper/2408.04561/integrity","json":"/paper/2408.04561/citation-record.json","paper":"/paper/2408.04561"},"outbound":[],"paper":{"arxiv_id":"2408.04561","last_updated":"2025-01-07T14:39:41Z","latest_version":3,"primary_category":"math.AG","snapshot_observed_at":"2026-08-10T07:29:05.012871Z","submitted_at":"2024-08-08T16:19:29Z","title":"Approximability and Rouquier dimension for noncommutative algebras over schemes"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:2408.04561."}