{"as_of":"2026-08-20T18:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e9c86c66d3d4ad3a8bd4fa060dcc54d4fa7581cc0e45253d8e3c7b3a95944786","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T21:47:08.396668Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T21:19:04.562895Z","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":"2026-05-11T08:56:03.304605Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.09120","last_updated":"2025-05-14T04:07:57Z","snapshot_observed_at":"2026-08-19T04:56:58.604289Z","submitted_at":"2025-05-14T04:07:57Z","title":"Excellent metrics on triangulated categories, and the involutivity of the map taking $\\mathcal{S}$ to $\\mathfrak{S}({\\mathcal{S})^{\\mathrm{op}}}$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.09120","snapshot_observed_at":"2026-08-15T21:19:04.562895Z","title":"Neeman, Excellent metrics on triangulated categories, and the involutivity of the map taking S to S(S)op, arXiv:2505.09120","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.10374","last_updated":"2025-05-15T14:57:41Z","snapshot_observed_at":"2026-08-18T23:12:15.712923Z","submitted_at":"2025-05-15T14:57:41Z","title":"Strong uniqueness of enhancements for the dual numbers: a case study","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T21:19:04.562895Z"},"links":{"cited_paper":"/paper/2505.09120","citing_paper":"/paper/2505.10374"},"observation_digest":"sha256:8383607e33a0fa71e295f9bf47b5ace8ece80addde57934d235a6e9b867bbc43","observation_id":"a02043f8-9e3e-431e-a24e-9b3af7231f6b","resolution":{"observed_at":"2026-08-15T21:19:04.562895Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.09120","last_updated":"2025-05-14T04:07:57Z","snapshot_observed_at":"2026-08-19T04:56:58.604289Z","submitted_at":"2025-05-14T04:07:57Z","title":"Excellent metrics on triangulated categories, and the involutivity of the map taking $\\mathcal{S}$ to $\\mathfrak{S}({\\mathcal{S})^{\\mathrm{op}}}$","version":1},"cited_work":{"arxiv_id":"2505.09120","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.09120","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Neeman, Excellent metrics on triangulated categori es, and the involutivity of the map taking S to S(S )op","venue":null,"work_id":"b7293352-057a-4de8-9acc-f8154e923c97","year":2025},"citing_paper":{"arxiv_id":"2604.10478","last_updated":"2026-04-12T06:19:38Z","snapshot_observed_at":"2026-08-17T20:54:55.695427Z","submitted_at":"2026-04-12T06:19:38Z","title":"Finiteness of homological dimensions in triangulated categories","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-10T16:23:11.911243Z"},"links":{"cited_paper":"/paper/2505.09120","citing_paper":"/paper/2604.10478"},"observation_digest":"sha256:543813d4ca5e7964b860cb00d47d9498802a4c149341eae5d4a1cb935a0c8dcf","observation_id":"da02feff-a8c6-4d4d-861c-13b57c07ebbf","resolution":{"observed_at":"2026-05-11T08:56:03.307164Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.09120/citation-record","integrity":"/paper/2505.09120/integrity","json":"/paper/2505.09120/citation-record.json","paper":"/paper/2505.09120"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2402.04605","last_updated":"2024-02-07T05:58:53Z","snapshot_observed_at":"2026-08-17T04:44:13.878631Z","submitted_at":"2024-02-07T05:58:53Z","title":"The passage among the subcategories of weakly approximable triangulated categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.04605","snapshot_observed_at":"2026-08-15T21:47:08.370573Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.09120","last_updated":"2025-05-14T04:07:57Z","snapshot_observed_at":"2026-08-19T04:56:58.604289Z","submitted_at":"2025-05-14T04:07:57Z","title":"Excellent metrics on triangulated categories, and the involutivity of the map taking $\\mathcal{S}$ to $\\mathfrak{S}({\\mathcal{S})^{\\mathrm{op}}}$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T21:47:08.370573Z"},"links":{"cited_paper":"/paper/2402.04605","citing_paper":"/paper/2505.09120"},"observation_digest":"sha256:ab40266855c141c7b79b5553fa6173f8bcdfb988d20d60a5ce128f64693d243a","observation_id":"6438fd3c-9b81-4cc7-bd2d-98eff9c845d4","resolution":{"observed_at":"2026-08-15T21:47:08.370573Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.06471","last_updated":"2025-05-14T13:28:23Z","snapshot_observed_at":"2026-08-14T19:02:41.365931Z","submitted_at":"2018-06-18T00:57:47Z","title":"The categories ${\\mathcal T}^c$ and ${\\mathcal T}^b_c$ determine each other","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.06471","snapshot_observed_at":"2026-08-15T21:47:08.375814Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.09120","last_updated":"2025-05-14T04:07:57Z","snapshot_observed_at":"2026-08-19T04:56:58.604289Z","submitted_at":"2025-05-14T04:07:57Z","title":"Excellent metrics on triangulated categories, and the involutivity of the map taking $\\mathcal{S}$ to $\\mathfrak{S}({\\mathcal{S})^{\\mathrm{op}}}$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T21:47:08.375814Z"},"links":{"cited_paper":"/paper/1806.06471","citing_paper":"/paper/2505.09120"},"observation_digest":"sha256:d3ca01b684a36944c9e4c95eb2699df03efae1ae27edf786e53342fcc3b7d65b","observation_id":"dfbae75a-d6e5-4d36-bab9-412ac680707b","resolution":{"observed_at":"2026-08-15T21:47:08.375814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T21:47:08.502200Z","title":"Pure Appl","venue":null,"work_id":"4c81f971-cde5-4e65-be79-f5f8f3b5a165","year":2020},"citing_paper":{"arxiv_id":"2505.09120","last_updated":"2025-05-14T04:07:57Z","snapshot_observed_at":"2026-08-19T04:56:58.604289Z","submitted_at":"2025-05-14T04:07:57Z","title":"Excellent metrics on triangulated categories, and the involutivity of the map taking $\\mathcal{S}$ to $\\mathfrak{S}({\\mathcal{S})^{\\mathrm{op}}}$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T21:47:08.380122Z"},"links":{"citing_paper":"/paper/2505.09120"},"observation_digest":"sha256:f1367b19797b7bdfc818d07b933c7fe6b62980a17fbe759b7f3cca6e551249c1","observation_id":"264773c1-d6de-42c8-9d7b-460e3c25d5b8","resolution":{"observed_at":"2026-08-15T21:47:08.506369Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T21:47:08.488754Z","title":null,"venue":null,"work_id":"a5fc6956-6f5d-4ab9-82c3-4a7b74b3e7b1","year":2023},"citing_paper":{"arxiv_id":"2505.09120","last_updated":"2025-05-14T04:07:57Z","snapshot_observed_at":"2026-08-19T04:56:58.604289Z","submitted_at":"2025-05-14T04:07:57Z","title":"Excellent metrics on triangulated categories, and the involutivity of the map taking $\\mathcal{S}$ to $\\mathfrak{S}({\\mathcal{S})^{\\mathrm{op}}}$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T21:47:08.384314Z"},"links":{"citing_paper":"/paper/2505.09120"},"observation_digest":"sha256:e49bdd42650f4968b70a61966ebff7ceb285b6fc3fcf1b94e05a61f2b5307e0f","observation_id":"28d9e151-6b2b-429c-a868-df0481af64ca","resolution":{"observed_at":"2026-08-15T21:47:08.493148Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T21:47:08.476863Z","title":"2, 239–284","venue":null,"work_id":"87349529-ffc6-4aa9-b050-7fd19cf1ec5a","year":2024},"citing_paper":{"arxiv_id":"2505.09120","last_updated":"2025-05-14T04:07:57Z","snapshot_observed_at":"2026-08-19T04:56:58.604289Z","submitted_at":"2025-05-14T04:07:57Z","title":"Excellent metrics on triangulated categories, and the involutivity of the map taking $\\mathcal{S}$ to $\\mathfrak{S}({\\mathcal{S})^{\\mathrm{op}}}$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T21:47:08.388399Z"},"links":{"citing_paper":"/paper/2505.09120"},"observation_digest":"sha256:94abf370c7aafced3c4fe9b32183369661371da7cb764a6619e4de10db2763d6","observation_id":"e2089653-a9e7-452c-948e-fd2e8831b1d0","resolution":{"observed_at":"2026-08-15T21:47:08.480752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T21:47:08.464585Z","title":null,"venue":null,"work_id":"83a41480-8fac-41ff-8369-b3f8e633617c","year":null},"citing_paper":{"arxiv_id":"2505.09120","last_updated":"2025-05-14T04:07:57Z","snapshot_observed_at":"2026-08-19T04:56:58.604289Z","submitted_at":"2025-05-14T04:07:57Z","title":"Excellent metrics on triangulated categories, and the involutivity of the map taking $\\mathcal{S}$ to $\\mathfrak{S}({\\mathcal{S})^{\\mathrm{op}}}$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T21:47:08.392682Z"},"links":{"citing_paper":"/paper/2505.09120"},"observation_digest":"sha256:75125c4b6bc978a761ab2f20df2827aaec19f046276e905b7eed4452af70987a","observation_id":"48d3908b-539f-454f-9273-39baaa77c74f","resolution":{"observed_at":"2026-08-15T21:47:08.468439Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T21:47:08.450187Z","title":"F. Enriques","venue":null,"work_id":"c50c8fd0-ba34-4e2e-8cb8-079dcdfa4d44","year":1989},"citing_paper":{"arxiv_id":"2505.09120","last_updated":"2025-05-14T04:07:57Z","snapshot_observed_at":"2026-08-19T04:56:58.604289Z","submitted_at":"2025-05-14T04:07:57Z","title":"Excellent metrics on triangulated categories, and the involutivity of the map taking $\\mathcal{S}$ to $\\mathfrak{S}({\\mathcal{S})^{\\mathrm{op}}}$","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T21:47:08.396668Z"},"links":{"citing_paper":"/paper/2505.09120"},"observation_digest":"sha256:9f3ba02ce17091d417fa1fd690a37c2656d1cd43548db86754b5fec6fec9cbe2","observation_id":"b6ce1705-d409-4f3b-93ac-557e8ceca506","resolution":{"observed_at":"2026-08-15T21:47:08.455149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.09120","last_updated":"2025-05-14T04:07:57Z","latest_version":1,"primary_category":"math.CT","snapshot_observed_at":"2026-08-19T04:56:58.604289Z","submitted_at":"2025-05-14T04:07:57Z","title":"Excellent metrics on triangulated categories, and the involutivity of the map taking $\\mathcal{S}$ to $\\mathfrak{S}({\\mathcal{S})^{\\mathrm{op}}}$"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":3},"total_outbound_references":7},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 2 inbound Pith citation observations for arXiv:2505.09120."}