{"as_of":"2026-08-12T07:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:86fb597848bac4660070db2e427171b5591c6718362c9f73d7a2eea2168d6057","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:16:44.270507Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T11:51:09.858520Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-10T05:30:23.456663Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-10T05:30:23.456663Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"cited_work":{"arxiv_id":"2507.16501","doi":"10.48550/arxiv.2507.16501","metadata_source":"pith","pith_arxiv_id":"2507.16501","snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","venue":"math.AG","work_id":"1a4019e2-8d73-4aa2-8823-c8d01bfacae7","year":2025},"citing_paper":{"arxiv_id":"2608.05005","last_updated":"2026-08-05T16:12:07Z","snapshot_observed_at":"2026-08-10T16:15:54.256717Z","submitted_at":"2026-08-05T16:12:07Z","title":"Finite-coefficient Gersten injectivity fails in ramified mixed characteristic","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T11:51:09.858520Z"},"links":{"cited_paper":"/paper/2507.16501","citing_paper":"/paper/2608.05005"},"observation_digest":"sha256:4c6afa715505c7d7311bb2b3cb51d72b0f170baa15c6d359bd5a2c4ef04dae15","observation_id":"abb507dc-b982-452b-b43e-ff43d6277fc7","resolution":{"observed_at":"2026-08-06T11:51:10.131011Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.16501/citation-record","integrity":"/paper/2507.16501/integrity","json":"/paper/2507.16501/citation-record.json","paper":"/paper/2507.16501"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.01561","last_updated":"2024-03-03T16:48:38Z","snapshot_observed_at":"2026-07-06T17:38:51.653737Z","submitted_at":"2024-03-03T16:48:38Z","title":"Atiyah duality for motivic spectra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.01561","snapshot_observed_at":"2026-08-06T15:16:41.681475Z","title":"Atiyah duality for motivic spectra","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:41.681475Z"},"links":{"cited_paper":"/paper/2403.01561","citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:e54d370d32ae22d9a6f935052c05e9bf8aac0d1c4e3f4974e4d7501a046755b3","observation_id":"6ec7a20d-4e6a-43ce-a954-2a756d06292b","resolution":{"observed_at":"2026-08-06T15:16:41.681475Z","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":"2026-08-06T15:16:44.736999Z","title":"Algebraic cobordism and a C onner- F loyd isomorphism for algebraic K -theory","venue":null,"work_id":"1bcd72aa-d847-46fc-b65a-2e20a1c892a4","year":2025},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:41.754770Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:a06596f2e92ae6073c5667b4d58611df6c6507d1402efa0d4a52d62713af0166","observation_id":"818c429e-ce94-4f0d-aabd-a40896d34010","resolution":{"observed_at":"2026-08-06T15:16:44.739707Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.03434","last_updated":"2025-04-17T09:02:32Z","snapshot_observed_at":"2026-08-11T02:05:33.880502Z","submitted_at":"2022-04-07T13:28:44Z","title":"Motivic spectra and universality of $K$-theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.03434","snapshot_observed_at":"2026-08-06T15:16:41.830606Z","title":"Motivic spectra and universality of K -theory","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:41.830606Z"},"links":{"cited_paper":"/paper/2204.03434","citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:6ba237e62b67edf62a38585b82c04e68aca4fea0df4c2c672e6b425be96ebaed","observation_id":"432acc15-fbb0-4c96-9eb1-0c11767d4126","resolution":{"observed_at":"2026-08-06T15:16:41.830606Z","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":"2026-08-06T15:16:44.729313Z","title":"On the B eilinson fiber square","venue":null,"work_id":"9b1e8291-2b7e-4f0d-ad79-5a7577be58d3","year":2022},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:41.944488Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:53b4741a96dfa31f3800b082c7cb21a72050792acf95d64ef482d84c490f9369","observation_id":"6d85b162-9ff1-4079-a9af-4a927b0ccc13","resolution":{"observed_at":"2026-08-06T15:16:44.731861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.721542Z","title":"A ^1 -invariant motivic cohomology of schemes","venue":null,"work_id":"ee5783fa-a8d8-4368-875c-c203d03ac538","year":null},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.038544Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:ca0209ea07f1087813e1d424ce1ec04d94c9a8b0a3b77a83397a2e7c98da5f15","observation_id":"63519714-2b6e-457f-94dc-a3d092510a27","resolution":{"observed_at":"2026-08-06T15:16:44.724178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:16:42.126581Z","title":"Torsion completions are bounded","venue":null,"work_id":null,"year":1940},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.126581Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:4cff594b5a4b9f4eac5b4977f06354c575ba67976aeefe4c2d84d8199a74262e","observation_id":"19878508-ffea-4149-8d5b-081c42cc1ccb","resolution":{"observed_at":"2026-08-06T15:16:42.126581Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.09910","last_updated":"2026-07-27T18:02:35Z","snapshot_observed_at":"2026-08-11T18:30:35.799679Z","submitted_at":"2025-06-11T16:25:19Z","title":"Beilinson--Lichtenbaum phenomenon for motivic cohomology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.09910","snapshot_observed_at":"2026-08-06T15:16:42.196992Z","title":"Beilinson--Lichtenbaum phenomenon for motivic cohomology","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.196992Z"},"links":{"cited_paper":"/paper/2506.09910","citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:ae9dab594a8d9d8c79f6470837d913ace2891db405897e28fda35afd8a82c8d7","observation_id":"3ca80623-93b2-4369-b473-155936579888","resolution":{"observed_at":"2026-08-06T15:16:42.196992Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.06120","last_updated":"2022-01-16T19:17:11Z","snapshot_observed_at":"2026-08-09T01:40:56.656336Z","submitted_at":"2022-01-16T19:17:11Z","title":"Absolute prismatic cohomology","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.06120","snapshot_observed_at":"2026-08-06T15:16:42.305309Z","title":"Absolute prismatic cohomology","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.305309Z"},"links":{"cited_paper":"/paper/2201.06120","citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:eb0eb47d328b5bb8971d13330dbc639ef380d3df5d14a842fd3e4921f8cc5a6c","observation_id":"91424844-9722-496a-81eb-4490524ddd3e","resolution":{"observed_at":"2026-08-06T15:16:42.305309Z","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":"2026-08-06T15:16:44.707846Z","title":"The arc topology","venue":null,"work_id":"988f8b8c-75aa-484e-a73c-35889f7df171","year":1988},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.423101Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:f2907ec33b00194c4b58f10a5a97691bb168560a1350651d03ef5fb4ee7191a9","observation_id":"54b915a1-ef69-4525-9b81-65eaeca48461","resolution":{"observed_at":"2026-08-06T15:16:44.711120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.699810Z","title":"Syntomic complexes and p -adic \\' e tale T ate twists","venue":null,"work_id":"105379f5-7d8d-4bea-9d35-24ec76cfc71b","year":2023},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.520091Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:347e77279ec467114ed5a43d0aaed66e1f99fd8217f8ca9d796f137503dce6cb","observation_id":"3d1ac632-6980-4f64-addf-6e0dcafe0689","resolution":{"observed_at":"2026-08-06T15:16:44.702696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.691680Z","title":"Topological H ochschild homology and integral p -adic H odge theory","venue":null,"work_id":"634c2b7c-1ef9-4875-b5df-e8a75c946dd2","year":2019},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.603897Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:9db1fc20bb5dc94bbed534a563391b731f24b910337b67d5e5d70bab6b8cebc0","observation_id":"18b4a04a-6109-4709-b0d6-9e11f78bb18f","resolution":{"observed_at":"2026-08-06T15:16:44.694637Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.683713Z","title":"Cartier smoothness in prismatic cohomology","venue":null,"work_id":"4af206f3-1001-4a66-abd9-a8e6d6b8f941","year":2023},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.644065Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:f89b60ca643a0b511ad129e53e6ede4f5626c5c06a37a7b475c974cfc80f2ed5","observation_id":"f0b64853-51ce-4949-a34a-f21bfcca77e3","resolution":{"observed_at":"2026-08-06T15:16:44.686413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.06635","last_updated":"2025-07-21T14:47:47Z","snapshot_observed_at":"2026-08-11T19:24:45.300600Z","submitted_at":"2024-12-09T16:28:01Z","title":"Motivic cohomology of mixed characteristic schemes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.06635","snapshot_observed_at":"2026-08-06T15:16:42.738240Z","title":"Motivic cohomology of mixed characteristic schemes","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.738240Z"},"links":{"cited_paper":"/paper/2412.06635","citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:bb422f90f6647718cab30801f848fa8b2ee1be024d2c1b02154479d9c162e937","observation_id":"e8f24b8a-f1ad-4305-a715-60bfd732fa64","resolution":{"observed_at":"2026-08-06T15:16:42.738240Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:16:42.806867Z","title":"Prisms and prismatic cohomology","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.806867Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:538d60e7ff2cab8a299a73c399b6ec105ceec02a49b6d3f83c721eba858dcb77","observation_id":"4e4aeba0-2e36-41fe-b495-761cf69ac61e","resolution":{"observed_at":"2026-08-06T15:16:42.806867Z","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":"2026-08-06T15:16:44.669625Z","title":"Cyclic homology, cdh-cohomology and negative K -theory","venue":null,"work_id":"a542296e-a298-47ad-8325-0fdadc204fab","year":2008},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.936081Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:64b22160e750fdf29c13a9865e5b473efe3d85e51e608eba352762d17a8e00e4","observation_id":"367f78d1-eefe-4be1-902e-0249d80df0a3","resolution":{"observed_at":"2026-08-06T15:16:44.672277Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.662404Z","title":"Hyperdescent and \\' e tale K -theory","venue":null,"work_id":"5d1fa0bb-9e76-434b-94ea-eecc2fd97ee2","year":2021},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:42.956125Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:5512eaa91a1f014b9be1a63439160c55dd2a3222b5a112b1bcccda44e0d1a53a","observation_id":"f477bbc5-3b33-4f46-8e76-2ac31a9b2560","resolution":{"observed_at":"2026-08-06T15:16:44.664958Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.654838Z","title":"Infinite-dimensional vector bundles in algebraic geometry: an introduction","venue":null,"work_id":"db480a9d-327f-4303-86e7-8d769dc09a18","year":2006},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:43.028535Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:6706f1cfcb19565be523d7168069cc2f86bea1204ada6a06d60801562750a830","observation_id":"267f7333-d032-41cd-8ef5-2614ee232b21","resolution":{"observed_at":"2026-08-06T15:16:44.657424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.647716Z","title":"Keith Dennis and Michael R","venue":null,"work_id":"b5b26cb5-7d09-47de-ac52-fdddc2824309","year":1975},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:43.138695Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:89fddc1365342c13ea87b9548a5ec2e09589270b7e74ec0014d07b3e0e62b73d","observation_id":"168efbe8-bd78-4bf6-918c-6ceae7908a05","resolution":{"observed_at":"2026-08-06T15:16:44.650068Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.640485Z","title":"Cdh descent, cdarc descent, and M ilnor excision","venue":null,"work_id":"a9183ee1-8c77-4c56-b2d0-633146624689","year":2021},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:43.239749Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:93aab47bc28547804dfe0186f6aaf2900d532bfb8f5f91204b48b9aac169d52b","observation_id":"2c313dec-0a20-4911-b8a4-3ad4cf74b7c1","resolution":{"observed_at":"2026-08-06T15:16:44.643029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.632714Z","title":"Khan, Vladimir Sosnilo, and Maria Yakerson","venue":null,"work_id":"3e2116d1-ce14-4faa-b25e-0349e8f26edd","year":2020},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:43.378354Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:caf97101a87b37a49bff105fbba209fcd8ee2a3f84b809577738c394e07dbc38","observation_id":"4e95dc31-4992-4ece-829a-637bb92a16b9","resolution":{"observed_at":"2026-08-06T15:16:44.635460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:16:43.481903Z","title":"Motivic cohomology of equicharacteristic schemes","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:43.481903Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:3978f5c1906a9d5711dc380922f89e8809210269da83b57fa749f54542daf980","observation_id":"dab5602b-7e5d-4f26-be3b-819aaee47044","resolution":{"observed_at":"2026-08-06T15:16:43.481903Z","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":"2026-08-06T15:16:44.625277Z","title":"Affine analog of the proper base change theorem","venue":null,"work_id":"20c8844f-ce44-4bfd-92e6-ccbdb36e6a3f","year":1994},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:43.539084Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:67be44d29bd4068566b1b933385eaafb2f7963eca4622872b3bcd3e8d1157cab","observation_id":"95e01f67-68fe-4f48-b36b-3c4a1d8c2941","resolution":{"observed_at":"2026-08-06T15:16:44.627835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.617610Z","title":"Motivic cohomology over D edekind rings","venue":null,"work_id":"aa2dd874-7675-4163-97ba-b5e2ad564b1d","year":2004},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:43.680209Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:a55da708c14499f05b7b95d730301905d957a2d2cf3eb15dee37e8745f4ca2b6","observation_id":"ff5f44ca-1e78-486f-b0af-bf333d2b08d2","resolution":{"observed_at":"2026-08-06T15:16:44.620448Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.610036Z","title":"The relative form of G ersten's conjecture over a discrete valuation ring: the smooth case","venue":null,"work_id":"f699ce6a-a26f-4216-a4d0-3f2d0fb7065b","year":1987},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:43.750317Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:8e9713ab8ce75e95ca8ca473ef5ce92ae8e9430c8db6493330ed96c117ea6075","observation_id":"aad5952c-3417-4261-9b63-85a8705e4e71","resolution":{"observed_at":"2026-08-06T15:16:44.612716Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.602546Z","title":"\\' E l\\' e ments de g\\' e om\\' e trie alg\\' e brique","venue":null,"work_id":"7fed7e75-8a85-477a-99a2-67d1a444d50c","year":1961},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:43.879404Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:e4572a5c025fba5edacaa95e9d083f4130a134489049ebe5773d78572ceb08f3","observation_id":"be2d9c40-3b5d-4ecb-a248-1822101f94af","resolution":{"observed_at":"2026-08-06T15:16:44.604919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.594582Z","title":"Higher traces, noncommutative motives, and the categorified C hern character","venue":null,"work_id":"78f2f8a4-e409-4d89-ad0b-e9d2ecea587b","year":2017},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:43.969622Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:6dab548747bdc39621f10c7a6e587283229a78f4ccbbfbabc8de3b6e913984ff","observation_id":"a424b476-1c60-4507-ba50-88c0068258c1","resolution":{"observed_at":"2026-08-06T15:16:44.597221Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.586522Z","title":"Milnor K -theory of local rings with finite residue fields","venue":null,"work_id":"2cf6f86e-ba3d-4376-b9e1-128028888906","year":2010},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.076406Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:da0f0a4577263740569bc5e8be26ee17e147bc1c58e377243d981a5d93e011a4","observation_id":"663ba3d5-09aa-4992-9b79-b65e39d863d0","resolution":{"observed_at":"2026-08-06T15:16:44.589093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.02699","last_updated":"2024-01-05T08:07:04Z","snapshot_observed_at":"2026-08-05T12:05:25.926722Z","submitted_at":"2024-01-05T08:07:04Z","title":"A procdh topology","version":1},"cited_work":{"arxiv_id":"2401.02699","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.02699","snapshot_observed_at":"2026-08-06T15:16:44.313250Z","title":"A procdh topology","venue":"math.AG","work_id":"320ac533-acb8-40c8-bd72-823e214a4b9d","year":2024},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.166635Z"},"links":{"cited_paper":"/paper/2401.02699","citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:65f4a709a150c619c03595e0d53fcff8c8e77b73fdc8e36f7535bee79d03f0c2","observation_id":"6994a2b3-416f-45a8-bef5-4521d326f940","resolution":{"observed_at":"2026-08-06T15:16:44.316086Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.578551Z","title":"Algebraic K -theory and descent for blow-ups","venue":null,"work_id":"ba2f7364-9d6c-4e87-9d94-3bda98fe802f","year":2018},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.241669Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:5549abf7f59e71d954a14f329629faa36ce086b0470fbc1c483e238c2bb48981","observation_id":"b9b813be-b96e-4bd2-8493-bf6fdf281f60","resolution":{"observed_at":"2026-08-06T15:16:44.581324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.570622Z","title":"Milnor K -theory of p -adic rings","venue":null,"work_id":"4231d896-41f9-4ba6-97e7-1f55695250c7","year":2023},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.245310Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:68c44b83fcbafa1621b0391c7ec7aba1b19dfa1372bc6e261485ad193565f979","observation_id":"15aa1f85-9a1e-4290-be51-2c9c69ac20c7","resolution":{"observed_at":"2026-08-06T15:16:44.573230Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.562971Z","title":"On the K -theory of pullbacks","venue":null,"work_id":"5bdae85e-973f-41b9-bcd7-552cc1599268","year":2019},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.247827Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:9607cdd2b3623018156687fff200df76a0d4722d4084ea0d47d4fa35cb7c89dd","observation_id":"e040a4f4-4e9a-4338-b0b3-528ef6b0dc02","resolution":{"observed_at":"2026-08-06T15:16:44.565737Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.02622","last_updated":"2024-07-05T07:56:44Z","snapshot_observed_at":"2026-08-10T04:16:48.575688Z","submitted_at":"2020-10-06T11:03:49Z","title":"On the relative Gersten conjecture for Milnor K-theory in the smooth case","version":4},"cited_work":{"arxiv_id":"2010.02622","doi":null,"metadata_source":"pith","pith_arxiv_id":"2010.02622","snapshot_observed_at":"2026-08-06T15:16:44.296764Z","title":"On the relative Gersten conjecture for Milnor K-theory in the smooth case","venue":"math.AG","work_id":"d3673ade-64a9-4d56-b880-840d750bc08e","year":2020},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.250449Z"},"links":{"cited_paper":"/paper/2010.02622","citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:46c39b23d04045a0214ae54a3547611480299f70de78f089f83b9a831b77ddef","observation_id":"36dd78ac-eb7b-445a-806e-c6e02cad7630","resolution":{"observed_at":"2026-08-06T15:16:44.302864Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.555191Z","title":"Spectral algebraic geometry","venue":null,"work_id":"c3675bb7-8776-450d-93ee-cbee6a8e40ff","year":2019},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.253549Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:3d8502bc92ed50114a0df24d6a2701ee2eab1210bddd87abd4306894531b489c","observation_id":"5467cba2-f43c-4fc8-87f1-3fb617fe4781","resolution":{"observed_at":"2026-08-06T15:16:44.557825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.546118Z","title":"Pro cdh -descent for cyclic homology and K -theory","venue":null,"work_id":"faafae8e-a525-4728-b4c9-ce3026b6e8d7","year":2016},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.256348Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:d4fd3852cffdbee2ecb6f512ab350daee290f1c61deb9c57582442079d698ff7","observation_id":"5b3062ac-12d1-4142-a946-dfbe2fb1b6cc","resolution":{"observed_at":"2026-08-06T15:16:44.549397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.536354Z","title":"Pro unitality and pro excision in algebraic K -theory and cyclic homology","venue":null,"work_id":"5538c88c-6392-4699-9cb7-20241b7b62f0","year":2018},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.258706Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:dc7ada4db34d6bf5ca516fc8548e3991acee2068be9ee28c6b21928c604de19d","observation_id":"dfa2bf38-cc40-423d-bcb9-b17655c507e0","resolution":{"observed_at":"2026-08-06T15:16:44.539520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.527664Z","title":"Nesterenko and Andreï A","venue":null,"work_id":"569552da-d130-48b0-bf51-646854396ca4","year":1989},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.261681Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:eee57c48cabe82be7a3f676cf30315a9b7ebea83bc698e32f5bfd71612742565","observation_id":"67d13974-77a5-4bb1-ab94-9496216e379d","resolution":{"observed_at":"2026-08-06T15:16:44.530433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.518614Z","title":"Thomason","venue":null,"work_id":"c66ad45e-4698-4a15-9cb9-dbc98cf8bb86","year":1993},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.264484Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:73d52e248b4cd47483bfbd1f04ede7c3b5eba92fb4d13b23a5280daa8ccd0c68","observation_id":"5774ea33-cdbc-48bb-806c-d7194cb9a837","resolution":{"observed_at":"2026-08-06T15:16:44.521638Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.509499Z","title":"Milnor K -theory is the simplest part of algebraic K -theory","venue":null,"work_id":"1b52ec75-8fba-478b-b815-e0cf5dc6d0d9","year":1992},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.266940Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:a05c6618b9b5da0fc90c7c716cabe84ef76cc7397e1362b6e6a7d4ff8bffb0a0","observation_id":"00aff18c-d582-4794-9aad-2dba466bff5b","resolution":{"observed_at":"2026-08-06T15:16:44.512797Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T15:16:44.501434Z","title":null,"venue":null,"work_id":"ca936c9a-c112-4ae5-b7da-6609a2fe5085","year":1980},"citing_paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-06T15:16:44.270507Z"},"links":{"citing_paper":"/paper/2507.16501"},"observation_digest":"sha256:c6e3547db6987acf3f48ffadff06a31c3c8ebd0feec40b2e2a9a028c2239b406","observation_id":"213f9ace-980d-4b8b-9891-b211799101f9","resolution":{"observed_at":"2026-08-06T15:16:44.503965Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.16501","last_updated":"2025-07-22T11:58:01Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-09T03:40:52.301156Z","submitted_at":"2025-07-22T11:58:01Z","title":"Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":2,"verified_fuzzy":28},"total_outbound_references":39},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2507.16501."}