{"as_of":"2026-08-16T15:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a4052ad11cd6d35a13ee7166a33d2e0316101e6e1cbcfc14c96964caf91b2a1c","coverage":[{"denominator":54,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":54,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:22:43.663399Z","state":"measured"},{"denominator":54,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":54,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.09372/citation-record","integrity":"/paper/1908.09372/integrity","json":"/paper/1908.09372/citation-record.json","paper":"/paper/1908.09372"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:22:44.333860Z","title":null,"venue":null,"work_id":"78fa0844-03dc-4dce-b799-46f25ea53f78","year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.442821Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:03185327fc94a1551520b53b49bff35baee5abb55e7fcf24e113ffe9488ba5d5","observation_id":"cc3bd749-5d03-49e0-9837-330a12463403","resolution":{"observed_at":"2026-08-14T11:22:44.337738Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.323554Z","title":null,"venue":null,"work_id":"8c06def4-4044-4ca8-ad42-c82059e5ea98","year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.447252Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:6ca6e3ae45212edc60fd649bc2028fcbbff563c086b4bcdc8b04e2e4851d0c90","observation_id":"b0f494bf-6ff4-4d72-a38b-9167db5c27a7","resolution":{"observed_at":"2026-08-14T11:22:44.327285Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.313111Z","title":"Contemporary Math","venue":null,"work_id":"a464aff7-feb7-4aeb-b623-ea60aa3c8a75","year":1999},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.451344Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:ff6c04ee82d04a550c6f8e82c61e9c2b9752c3832dfeb97ca51ec08f52c4c29f","observation_id":"4df23117-fb9f-4488-85b6-fd886c66fafa","resolution":{"observed_at":"2026-08-14T11:22:44.316650Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.301409Z","title":"Asian J.\\ Math","venue":null,"work_id":"2b1ef9e2-7254-41e7-b256-463d1a403caf","year":2011},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.455727Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:487c944ad1bb13fcba61ffc63db4fd1db385abc63dd2096520471d9e1daf8084","observation_id":"2d4e798e-2843-4c21-be94-59180ff773d1","resolution":{"observed_at":"2026-08-14T11:22:44.305520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.289098Z","title":"Advances in Mathematics 257 (2014), 365--461","venue":null,"work_id":"3c597b60-6010-46d6-bb66-caeb2e96b1c8","year":2014},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.459712Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:54843967423b3c3bfba0479d7c05ad5e96598fc6acd2921c7b66b1b9bfbfc07c","observation_id":"44818bf7-e984-4a61-879c-7a66f2d1d039","resolution":{"observed_at":"2026-08-14T11:22:44.293166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.274278Z","title":null,"venue":null,"work_id":"ad1733ce-dc14-4816-a35f-14e4004fae14","year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.463735Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:d6f2a84e8720954e47c04d8276da6835d09b997ac8dd4e0f2cd69869c67baed5","observation_id":"2c1b600a-5083-49d3-b27f-62ca0cb043c6","resolution":{"observed_at":"2026-08-14T11:22:44.278560Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.263082Z","title":"Compo\\-sitio Math","venue":null,"work_id":"0b140ae7-b07c-46c8-ae9d-734f534f8032","year":1993},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.467639Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:9414adade81b170e07474465021e20decbad47301037fb2870e1bff8e5bb0900","observation_id":"3252cd7f-c163-4b22-a246-55207d925627","resolution":{"observed_at":"2026-08-14T11:22:44.267686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.251737Z","title":"Hermann, Paris, 1970","venue":null,"work_id":"902adaf0-6b1d-40cb-98a8-b389b21dd1af","year":1970},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.471977Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:0999f23cb3a5d0abfbdecbaa6640bc43ed67f13b7a017044d744dce570775a70","observation_id":"9fa3ee70-2b55-499d-8f5f-f070fba18f14","resolution":{"observed_at":"2026-08-14T11:22:44.255488Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.240553Z","title":"Alg\\`ebre homologique","venue":null,"work_id":"57645a69-23d3-4a6c-a10e-fb08f7fb3ede","year":2007},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.476507Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:925872e0a98f5caecd1caf74b384abb2286f134767805b23acae50bffdc6fafb","observation_id":"4057b168-6c57-4ace-bcf0-8c68d53f1ffd","resolution":{"observed_at":"2026-08-14T11:22:44.244463Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.229290Z","title":null,"venue":null,"work_id":"5e54c0b8-4cf3-44a5-a362-45d70651bc89","year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.480703Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:3b95ad3d3c27dc9d0bf8fbcbeca6fdf7830a3280620c8f309849849fc5441d4a","observation_id":"c8dcb524-08f6-4891-bf8b-0a69a4911116","resolution":{"observed_at":"2026-08-14T11:22:44.233124Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.218965Z","title":null,"venue":null,"work_id":"73979671-0b52-411d-86d0-698d4a4dc308","year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.484312Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:2c3d630f1004537d59da2d7c535dc69459b8f36f94da5eb85fa0e6166a49157c","observation_id":"86a31a33-1882-4d6f-bbaa-9bf6a0f25265","resolution":{"observed_at":"2026-08-14T11:22:44.223073Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.202618Z","title":null,"venue":null,"work_id":"f05a5b40-2477-47a2-a420-e1f2dd77bf56","year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.488936Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:8e633c8a9e35fb41a5a1744106bb5cbbdd53577400457faef00a5051430f85da","observation_id":"d20c9a76-e88b-42f6-a930-03c14e5b7b78","resolution":{"observed_at":"2026-08-14T11:22:44.207609Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0912.2110","last_updated":"2019-06-27T10:04:30Z","snapshot_observed_at":"2026-08-15T05:31:46.525772Z","submitted_at":"2009-12-10T21:27:00Z","title":"Triangulated categories of mixed motives","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0912.2110","snapshot_observed_at":"2026-08-14T11:22:43.493782Z","title":"arXiv:0912.2110v4","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.493782Z"},"links":{"cited_paper":"/paper/0912.2110","citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:8322c177cf7db9538bc855dd6dbc4b6ed8879e57ad1a6958ce81855966dabb5a","observation_id":"a271abe3-18aa-448b-98ff-93a5fc2302fd","resolution":{"observed_at":"2026-08-14T11:22:43.493782Z","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":"2026-08-14T11:22:44.189442Z","title":"Lecture Notes in Math., 1750","venue":null,"work_id":"27deecb6-b35f-4804-8f55-e95e733a5375","year":2000},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.498877Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:3796bbca3d13b248f51ecd39fe2f639ab34230a75d871c98c46960a905d6a2ac","observation_id":"4820779b-ab3c-44a8-b191-626c42678592","resolution":{"observed_at":"2026-08-14T11:22:44.193764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.177049Z","title":"Springer-Verlag, Berlin-New York, 1973","venue":null,"work_id":"0d90a360-5d06-4db5-9f95-fddbc0272c8c","year":1973},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.502728Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:999c537051ed4b9ea4f2829f6cc6fd4ea5248bee9d9d9712c92faff1860e8d60","observation_id":"4db3ba1d-e0f9-4c1b-a473-e04fb9e09c43","resolution":{"observed_at":"2026-08-14T11:22:44.181039Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.165017Z","title":null,"venue":null,"work_id":"3e3e9e51-43ff-4cb7-8c3c-68ac30b335cf","year":1978},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.506735Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:4cdfcf08f2614645cd1833526898e45286412ff8e7fd7c522de74a8c936a5a86","observation_id":"618020d1-4ab9-4d40-b7a1-0a6c440dbeed","resolution":{"observed_at":"2026-08-14T11:22:44.169223Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.152125Z","title":null,"venue":null,"work_id":"4380aa78-ab96-4643-be75-9b2a95b85ac2","year":1981},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.511122Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:e1ed13f582e6e2cf0df98d672216a23b22ea3045d74790b85147a73939663906","observation_id":"75fbb4ce-b834-48da-bf8c-0a35f5c4afad","resolution":{"observed_at":"2026-08-14T11:22:44.157456Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.137186Z","title":"Moscow Math","venue":null,"work_id":"42a1d990-a421-4ebc-bee5-bbddf98c5c2c","year":2013},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.516101Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:63aa646f38207c96c257fd4495e3edc333cf627ea6bdf315af68cc0091e5c6ef","observation_id":"eaa3be15-a0f9-4f5b-a962-b79dda19e305","resolution":{"observed_at":"2026-08-14T11:22:44.141360Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.126383Z","title":null,"venue":null,"work_id":"a7ecf986-4fcf-4276-8eb0-ae6217dd105a","year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.522107Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:455f536cefb02dac70257ae0e513dd5aa3d6ea57f91cbd58350091fcdf6d1067","observation_id":"177106b7-6a39-4037-833b-16e1eca4d30c","resolution":{"observed_at":"2026-08-14T11:22:44.130787Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.114415Z","title":"A.: El\\' e ments de G\\' e om\\' e trie Alg\\' e brique II, \\' E tude global \\'elementaire de quelques classes de morphismes","venue":null,"work_id":"2c00f7b6-a598-471f-a888-8a49e29fc433","year":1961},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.526939Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:009003340b1d9559507086b38924204b65101f7785f16fe9192c11e71a712e59","observation_id":"a7c60c67-86cf-485f-ae48-7d961c052ab1","resolution":{"observed_at":"2026-08-14T11:22:44.119324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.101646Z","title":"Publications Math\\' e matiques, 11 , Institut\\- des Hautes \\' E tudes Scientifiques, Paris, 1961","venue":null,"work_id":"a9b24cee-e5d9-40d7-93b0-7d75012da526","year":1961},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.530876Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:d24026ca3fbe0d6370a81bba01f3d3ab543145c1749151e6fe54cc12db618394","observation_id":"25dd2917-e6bb-4dfe-8126-368903daaf3b","resolution":{"observed_at":"2026-08-14T11:22:44.106469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.089802Z","title":"Grundlehren der Mathematischen Wissenschaften 166","venue":null,"work_id":"7db790d0-f1cf-42a6-a559-025518670248","year":1971},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.534887Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:52068d24e3a883de2e38c259cfea04a5d4c916f27df0bd087d9112e51ed6aa0c","observation_id":"29835dd1-17ed-48d4-a86a-7cd21e8867a7","resolution":{"observed_at":"2026-08-14T11:22:44.093286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.076795Z","title":"Lecture Notes in Math., 20","venue":null,"work_id":"f2249c2f-1705-45c5-88e8-8bd22dab93c8","year":1966},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.539065Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:d372b0f2ea85ae9e99bdb33f2d0a3a31f90a6baf9521e727fd3949285aadbce8","observation_id":"5c2ee9d0-feba-465e-8f8e-70f1f9cea4ee","resolution":{"observed_at":"2026-08-14T11:22:44.082125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.063356Z","title":"Foundations of Grothendieck duality for diagrams of schemes, 261--475, Lecture Notes in Math., 1960 , Springer-Verlag, Berlin-New York, 2009","venue":null,"work_id":"4b7fa81a-c6be-41c6-8765-a78d47c159be","year":1960},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.543910Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:520cf3b8b0c12209022bf322fa57eb3a737560ed9e52c023f8e7d51ac1984237","observation_id":"e916878d-efa8-47d5-976f-0ce38e39075e","resolution":{"observed_at":"2026-08-14T11:22:44.067836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.050768Z","title":null,"venue":null,"work_id":"34f9588b-37aa-4b50-9d70-4ffc07938f1d","year":1990},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.547449Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:a3ffcf7013b16ecf815b3f2f7f6616f106b32bc8c474349b58166a2eae68f111","observation_id":"fe400e65-2671-4182-b65f-5f0f31305f6d","resolution":{"observed_at":"2026-08-14T11:22:44.054646Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1902.03625","last_updated":"2022-04-06T16:27:13Z","snapshot_observed_at":"2026-08-14T17:18:29.365428Z","submitted_at":"2019-02-10T16:37:18Z","title":"Derivator Six-Functor-Formalisms -- Construction II","version":3},"cited_work":{"arxiv_id":"1902.03625","doi":null,"metadata_source":"pith","pith_arxiv_id":"1902.03625","snapshot_observed_at":"2026-08-14T11:22:43.787060Z","title":"Derivator Six-Functor-Formalisms -- Construction II","venue":"math.AG","work_id":"b9949af4-e029-4ef2-ada6-a65e2e0e08dd","year":2019},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.551423Z"},"links":{"cited_paper":"/paper/1902.03625","citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:f9e0ed1f8ce2fd8be6dcf77b2806b802702be7ba91ea2b3d738db6baf690724b","observation_id":"cc11a115-9779-49e0-987e-f43824eab7d2","resolution":{"observed_at":"2026-08-14T11:22:43.790891Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.040145Z","title":null,"venue":null,"work_id":"24ca82e2-8975-4cd2-a8cb-6080029a006f","year":1993},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.555967Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:4a9c9f6243bb15f92ea9974ea3922bb32d6067e6c85dec62ec31450dc4ca2cab","observation_id":"aa56a864-c96e-4666-bd79-f2c66b2ce6ce","resolution":{"observed_at":"2026-08-14T11:22:44.043572Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.028362Z","title":"Th\\'eorie des Intersections et Th\\'eor\\`eme de Riemann-Roch (SGA\\;6)","venue":null,"work_id":"e3617795-e7ab-492e-a526-e25ab38cf3e1","year":1971},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.560766Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:2c6a30617b86355e2ae5aaf6b05e13f542da3f4b63b89aab20e64c264f862ffa","observation_id":"15ffca64-956d-443f-ba86-d255ed7022b1","resolution":{"observed_at":"2026-08-14T11:22:44.032156Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.018368Z","title":null,"venue":null,"work_id":"4fed0433-f220-477a-954c-d9e847b35b94","year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.564356Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:befb557e9f3293027ffc30c47723383d97b3590fe2f3ad541cf99635745b7cbe","observation_id":"ced5b678-ee7c-4149-9bfc-1a9760b755c7","resolution":{"observed_at":"2026-08-14T11:22:44.022045Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:44.007703Z","title":null,"venue":null,"work_id":"5f7c5d54-5ee8-463f-a262-e85c1f990d0a","year":1971},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.568391Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:cd2f647f420edab4f98aae139ad9d09aa6c88f211b5de743fb3bbf56c1996e76","observation_id":"9d601d6c-f58b-4b47-ae05-ad55d8b66123","resolution":{"observed_at":"2026-08-14T11:22:44.011304Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.997360Z","title":"Ast\\'erisque 345 (2012)","venue":null,"work_id":"ab423f83-9b69-4026-b43b-9304f35623dc","year":2012},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.572315Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:2682d7a8c76e87d6b832b2cf95fa6de1920342b426d05b415f8500646c76b810","observation_id":"30ea5e4d-a6e9-4327-afb4-f04bb31959c4","resolution":{"observed_at":"2026-08-14T11:22:44.000984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.987028Z","title":"Contemporary Math., 79","venue":null,"work_id":"0da88003-3663-484f-9129-36c21387da44","year":1988},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.576078Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:8bafae885bceb89e67526d071c36cd8a103669c148d8910d55915961b0688ba4","observation_id":"02862dbc-bfca-4b80-aca5-5d3b11f36dd6","resolution":{"observed_at":"2026-08-14T11:22:43.990880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.977190Z","title":"Ast\\'erisque 117 (1984)","venue":null,"work_id":"d5849c20-447f-4039-9367-940fd56a03e7","year":1984},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.580160Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:4e07899b9d7dae112c57b562c168ad29b09b19654b511cad49033cddcbc4e309","observation_id":"40538e10-c8b0-4a3f-ab51-3db975e659e5","resolution":{"observed_at":"2026-08-14T11:22:43.980847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.966546Z","title":null,"venue":null,"work_id":"444a8d7f-3891-4715-90fe-3a626a6c6006","year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.585036Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:852b2ada09b4466595b51c98023f1fb0e235725be6c44de0a3afcf3ad531d0d1","observation_id":"5f3801e5-8649-4ee6-b0e7-acd77b37321f","resolution":{"observed_at":"2026-08-14T11:22:43.970031Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.956321Z","title":"(YMIS 09, Sedano, Spain, 2009.) www.math.purdue.edu/\\ lipman","venue":null,"work_id":"bcfe4017-07d2-419c-be34-dcefa271753f","year":2009},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.588715Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:d27e6892e0de59085069b8caff56afb66194bed35c1f798c02e967f91cc3ea98","observation_id":"683e9aaf-c487-4da8-9a64-40ca68579e30","resolution":{"observed_at":"2026-08-14T11:22:43.959917Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.944733Z","title":"Foundations of Grothendieck duality for diagrams of schemes, 1--259, Lecture Notes in Math., 1960 , Springer-Verlag, Berlin-New York, 2009","venue":null,"work_id":"8801b4aa-6281-4214-a203-8bceec027008","year":1960},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.592259Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:f7079923848b15c56c9b3f27ffb241e1a231034fcead990219cdd279146a9a94","observation_id":"6fffbc6e-807f-4a85-8ed3-5aac66928d89","resolution":{"observed_at":"2026-08-14T11:22:43.949720Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.935135Z","title":"Illinois J","venue":null,"work_id":"d8e2999d-1dfe-48c1-95e8-dc729ddae84a","year":2007},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.595663Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:7aa5bddf9e801e9434d16c62b5ab20f6b28914871dd26a3e403141f8438549ba","observation_id":"7d69c872-4c59-4f72-abb3-02dcfe6d9c1b","resolution":{"observed_at":"2026-08-14T11:22:43.938610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.925634Z","title":"Algebraic Geometry 5 (2018), 131--159","venue":null,"work_id":"9ebebeb7-2907-4abb-a55f-c77981f705f8","year":2018},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.599262Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:8c8c3789d325d90c8a40987f734854bdceef3fa35d86879332a3bbee2373eb8e","observation_id":"0fe2b5bb-8278-4026-b149-5218c07e8586","resolution":{"observed_at":"2026-08-14T11:22:43.929015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.915702Z","title":null,"venue":null,"work_id":"97a8ccbf-8f54-4ddd-922d-40e9ea49c50d","year":1992},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.603882Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:479c792c497910742b3949f2865cc6c2e61079a802609e2efa2bad6d4090d296","observation_id":"804c8836-7c3a-4537-b1cf-a9d6227d64ca","resolution":{"observed_at":"2026-08-14T11:22:43.919088Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.903041Z","title":"Coherence in categories, 148--195, Lecture Notes in Math., 281 , Springer-Verlag, Berlin-New York, 1972","venue":null,"work_id":"a29ddf2e-7e88-46db-8608-460062e4cc92","year":1972},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.607621Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:a2d87bad133af8e1d2a879ee53f417317dcf7ea50549a792e3cdbab365a82969","observation_id":"09e2400e-75e8-49c9-bbcd-2a807dd104dc","resolution":{"observed_at":"2026-08-14T11:22:43.907577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1211.5948","last_updated":"2024-12-17T17:18:50Z","snapshot_observed_at":"2026-08-15T00:38:10.675535Z","submitted_at":"2012-11-26T13:41:18Z","title":"Enhanced six operations and base change theorem for higher Artin stacks","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1211.5948","snapshot_observed_at":"2026-08-14T11:22:43.611366Z","title":"arXiv:1211.5948","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.611366Z"},"links":{"cited_paper":"/paper/1211.5948","citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:03947317741597eefe5b38fb5088cea36c44ab72417b03e7eb6111eb8b739db2","observation_id":"7f23c8bb-8ec9-4abe-881f-c117ce880773","resolution":{"observed_at":"2026-08-14T11:22:43.611366Z","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":"2026-08-14T11:22:43.890745Z","title":"Springer-Verlag, Berlin-New York, 1998","venue":null,"work_id":"5f949afc-501e-4a0e-ba25-5167fe226370","year":1998},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.615421Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:7d4c81587a8751d318976a684a017d8dccc314130c709c672145f9b0eb954e2e","observation_id":"0c32702e-98c2-4158-bb08-ddc39c6ca589","resolution":{"observed_at":"2026-08-14T11:22:43.894994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.878402Z","title":"Variance and duality for Cousin complexes on formal schemes, 195--271, Contemp","venue":null,"work_id":"d17f989a-9ac9-4174-931f-170325e0943b","year":2005},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.619409Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:1d4703e694465a4ac6aadf61f60167d11eeeacb7d0651b24856889b5e0b82979","observation_id":"9c76d764-d38d-4e49-8177-93f506ec7ce4","resolution":{"observed_at":"2026-08-14T11:22:43.882735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.866713Z","title":null,"venue":null,"work_id":"8d6c896f-9774-44d6-8340-9e6164e3ce15","year":2009},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.624013Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:4b794e8e4f90f96e40938c5e435c8909578db52e23a08e505602df7c5d3f39e4","observation_id":"b921873b-6644-4d9d-9bce-168dbda19a68","resolution":{"observed_at":"2026-08-14T11:22:43.870646Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1903.01779","last_updated":"2019-05-15T09:05:48Z","snapshot_observed_at":"2026-08-14T17:07:14.137689Z","submitted_at":"2019-03-05T12:07:31Z","title":"Grothendieck Duality and Transitivity I: Formal Schemes","version":3},"cited_work":{"arxiv_id":"1903.01779","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.01779","snapshot_observed_at":"2026-08-14T11:22:43.761082Z","title":"Grothendieck Duality and Transitivity I: Formal Schemes","venue":"math.AG","work_id":"45c10d57-3112-4201-8e92-47553fb89859","year":2019},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.627642Z"},"links":{"cited_paper":"/paper/1903.01779","citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:89ee43d195549152ed9ce353d6227f0d86200ac5cb10a678f9f6b05e4b9d415f","observation_id":"718a46f9-b2a1-4bc1-89c6-cadf4e198b03","resolution":{"observed_at":"2026-08-14T11:22:43.764926Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1903.01783","last_updated":"2019-03-22T11:51:09Z","snapshot_observed_at":"2026-08-14T17:07:14.379404Z","submitted_at":"2019-03-05T12:22:31Z","title":"Grothendieck Duality and Transitivity II: Traces and Residues via Verdier's isomorphism","version":2},"cited_work":{"arxiv_id":"1903.01783","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.01783","snapshot_observed_at":"2026-08-14T11:22:43.747353Z","title":"Grothendieck Duality and Transitivity II: Traces and Residues via Verdier's isomorphism","venue":"math.AG","work_id":"5bd972a1-3fed-4d31-ba78-bec2951d8596","year":2019},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.631495Z"},"links":{"cited_paper":"/paper/1903.01783","citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:34af24b4d8dcf5af0a5d6d66d34185781c752fb930e2c73891d243dcd29bab9a","observation_id":"3efecd06-39fe-4e33-b33c-6a91657ba204","resolution":{"observed_at":"2026-08-14T11:22:43.751488Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.854255Z","title":"J.\\ Amer.\\ Math.\\ Soc","venue":null,"work_id":"7e028198-e6d9-4076-9b69-771fd2548ae5","year":1996},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.636210Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:438a8e3239009c99978dba86de63675ac65c6c491f611ac3409081397da29a34","observation_id":"1f1d7d45-0b1c-43d5-b3e1-44a146c7e62d","resolution":{"observed_at":"2026-08-14T11:22:43.858472Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1406.7599","last_updated":"2023-12-05T15:16:20Z","snapshot_observed_at":"2026-08-14T23:28:37.567544Z","submitted_at":"2014-06-30T03:58:22Z","title":"An improvement on the base-change theorem and the functor $f^!$","version":3},"cited_work":{"arxiv_id":"1406.7599","doi":null,"metadata_source":"pith","pith_arxiv_id":"1406.7599","snapshot_observed_at":"2026-08-14T11:22:43.732274Z","title":"An improvement on the base-change theorem and the functor $f^!$","venue":"math.AG","work_id":"c054876e-c92e-423d-829c-fc32191df170","year":2014},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.640005Z"},"links":{"cited_paper":"/paper/1406.7599","citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:90f775f890f2929ab440c48cc89e54c21675b47fc85637739331e161d6e7df63","observation_id":"7fa5c7d3-9c2f-4d98-8cb8-c930d8339e9e","resolution":{"observed_at":"2026-08-14T11:22:43.736291Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.842388Z","title":null,"venue":null,"work_id":"20cb9b56-4114-47d0-bfb0-f046393edfdd","year":2014},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.644221Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:b6dba8ab96cfd8b0d646acb5ab89ed2c35212a290a1e635e72e312cde5007dd5","observation_id":"966b6bdf-fa09-4df7-b4df-60149ea597f8","resolution":{"observed_at":"2026-08-14T11:22:43.846462Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1507.08697","last_updated":"2018-01-09T13:11:17Z","snapshot_observed_at":"2026-08-14T22:38:18.251411Z","submitted_at":"2015-07-30T21:58:23Z","title":"Six operations on dg enhancements of derived categories of sheaves","version":3},"cited_work":{"arxiv_id":"1507.08697","doi":null,"metadata_source":"pith","pith_arxiv_id":"1507.08697","snapshot_observed_at":"2026-08-14T11:22:43.717240Z","title":"Six operations on dg enhancements of derived categories of sheaves","venue":"math.AG","work_id":"b73065f6-d63c-45f6-8c8a-a05760f6400e","year":2015},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.647821Z"},"links":{"cited_paper":"/paper/1507.08697","citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:1ddcae2071858b1509fd5c0af24d5ad18cf190348b72553325aef4d3d224c058","observation_id":"774a4bf7-e4fa-4621-9573-3021d73f5031","resolution":{"observed_at":"2026-08-14T11:22:43.722267Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.06935","last_updated":"2019-04-15T09:51:55Z","snapshot_observed_at":"2026-08-14T16:46:35.261287Z","submitted_at":"2019-04-15T09:51:55Z","title":"Derived category of Finite Spaces and Grothendieck Duality","version":1},"cited_work":{"arxiv_id":"1904.06935","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.06935","snapshot_observed_at":"2026-08-14T11:22:43.698786Z","title":"Derived category of Finite Spaces and Grothendieck Duality","venue":"math.AG","work_id":"6fed0ea1-5f1d-4529-9fff-ceae8016fc83","year":2019},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.651856Z"},"links":{"cited_paper":"/paper/1904.06935","citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:71282435640c9ddc95a854e4dbefad3177abb24326e3b9fba846ee93cac93fad","observation_id":"99e05926-6c61-49fc-a4e3-06c3819713ad","resolution":{"observed_at":"2026-08-14T11:22:43.705041Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.831077Z","title":null,"venue":null,"work_id":"cd2ae7b0-8b97-44ea-b24b-a6874b076bf5","year":null},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.656354Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:46b39681a53d24b0205a73af52b536bc9883c0126a8ff40a3f19f4f7a6bc8de1","observation_id":"e7750f04-e5a9-431d-aff4-34b96ecfa6eb","resolution":{"observed_at":"2026-08-14T11:22:43.834637Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.819783Z","title":"Math., no.\\,88, Birkh\\\"auser, Boston, 1990, pp","venue":null,"work_id":"05bb2fd3-8f78-4e2b-a558-6e62677feea4","year":1990},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.659725Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:03eb24049a694839d03eee7f23c6b02c960a09d7700fc84a91a4f07d1b95a454","observation_id":"685b427c-21db-4854-bb45-77fcaa84c7b6","resolution":{"observed_at":"2026-08-14T11:22:43.823492Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:22:43.808476Z","title":"Algebraic Geometry (Bombay, 1968)","venue":null,"work_id":"9d409bdf-3d81-4a13-84b0-d99586a9d59c","year":1968},"citing_paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps","version":2},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-14T11:22:43.663399Z"},"links":{"citing_paper":"/paper/1908.09372"},"observation_digest":"sha256:9f508f4e28d87c7019f267bb68e62f1dff679ecd170d2d8208a952b29104700b","observation_id":"e45d8323-03d0-4ab9-87af-7fe610beeb60","resolution":{"observed_at":"2026-08-14T11:22:43.812216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.09372","last_updated":"2025-03-22T23:33:10Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-16T06:28:45.584329Z","submitted_at":"2019-08-25T18:26:59Z","title":"Grothendieck Duality theories -- abstract and concrete, I: pseudo-coherent finite maps"},"reference_resolution":{"displayed":54,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":2,"unresolved":18,"verified_exact":6,"verified_fuzzy":28},"total_outbound_references":54},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:1908.09372."}