{"as_of":"2026-08-12T04:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:76460bfc877c7e0d068990db87c9d05e9b73f6fba3580ecc809a8c97f9d53074","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T04:48:56.534374Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T19:34:26.224421Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-05T20:52:26.401081Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"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":"2026-08-11T19:34:26.224421Z","title":"Beilinson–Lichtenbaum phenomenon for motivic cohomology","venue":null,"work_id":null,"year":null},"citing_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},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-11T19:34:26.224421Z"},"links":{"cited_paper":"/paper/2506.09910","citing_paper":"/paper/2412.06635"},"observation_digest":"sha256:96291040a1ef7cc73fd52cb5c527206c856a668a9c850462026af8d2ffb3025f","observation_id":"3581beef-1fb4-401f-b93d-0d173f8c1a4e","resolution":{"observed_at":"2026-08-11T19:34:26.224421Z","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":"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":"2506.09910","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.09910","snapshot_observed_at":"2026-08-05T20:52:26.401081Z","title":"Beilinson--Lichtenbaum phenomenon for motivic cohomology","venue":"math.AG","work_id":"8bafc4a9-e490-4904-abd3-a55f6568eefd","year":2025},"citing_paper":{"arxiv_id":"2508.09915","last_updated":"2025-08-13T16:10:55Z","snapshot_observed_at":"2026-08-08T12:03:54.578304Z","submitted_at":"2025-08-13T16:10:55Z","title":"$\\mathbb{A}^1$-invariant motivic cohomology of schemes","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T20:52:25.341871Z"},"links":{"cited_paper":"/paper/2506.09910","citing_paper":"/paper/2508.09915"},"observation_digest":"sha256:12520c8a1bfbcdd8b5dc3b8665f25ad3c332c01ef1def98847625fc81e6ce9ac","observation_id":"a66e5def-d1f1-47ec-a58b-b45514924a06","resolution":{"observed_at":"2026-08-05T20:52:26.406023Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"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":"2026-08-06T11:51:09.846439Z","title":"2025 , eprint =","venue":null,"work_id":null,"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":2,"source":"arxiv_source","source_observed_at":"2026-08-06T11:51:09.846439Z"},"links":{"cited_paper":"/paper/2506.09910","citing_paper":"/paper/2608.05005"},"observation_digest":"sha256:e2079ee84e2d6e14018aadb2f8daa58c88168ac738c5f670e773baf1cf501563","observation_id":"f80701f7-8418-446b-9ac3-061532da0f37","resolution":{"observed_at":"2026-08-06T11:51:09.846439Z","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":"2026-08-08T17:58:38.550089Z","title":"Beilinson–Lichtenbaum phenomenon for motivic cohomology.https:// arxiv.org/abs/2506.09910,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.05220","last_updated":"2026-08-05T11:00:25Z","snapshot_observed_at":"2026-08-10T22:02:06.191933Z","submitted_at":"2026-08-05T11:00:25Z","title":"On the motivic cohomology of some singular rings","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-08T17:58:38.550089Z"},"links":{"cited_paper":"/paper/2506.09910","citing_paper":"/paper/2608.05220"},"observation_digest":"sha256:b1a0d518cebeabd41637af94b254faa1d51b485a63346b62fbc1e57cad9b5111","observation_id":"514f7a12-4e7b-4390-9f2e-63817efc0215","resolution":{"observed_at":"2026-08-08T17:58:38.550089Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.09910/citation-record","integrity":"/paper/2506.09910/integrity","json":"/paper/2506.09910/citation-record.json","paper":"/paper/2506.09910"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T04:48:54.434050Z","title":"Motivic Steenrod operations at the characteristic via infinite ramification","venue":null,"work_id":null,"year":null},"citing_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},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:54.434050Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:394a68de7a8cf20355161561ebd62cd1be4c7c3cec01ff17b2f91e866ff07c15","observation_id":"e9ef1f1f-29f1-4152-8017-188efa3bb2e7","resolution":{"observed_at":"2026-08-07T04:48:54.434050Z","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":"2026-08-07T04:48:57.125213Z","title":"Dirigé par M","venue":null,"work_id":"6a6386fb-c9ce-4c78-9f8c-bbd14fe7e02d","year":1963},"citing_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},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:56.534374Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:8f5b5c1ea906d07d6dd7cdc2cb8d77db566ffbe7a181de8d4c5ba10b79109cfe","observation_id":"65af7b3c-0cf6-4a73-aab8-189c1b8b8d8c","resolution":{"observed_at":"2026-08-07T04:48:57.170945Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"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":"2026-08-07T04:48:54.937700Z","title":"Absolute prismatic cohomology","venue":null,"work_id":null,"year":null},"citing_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},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:54.937700Z"},"links":{"cited_paper":"/paper/2201.06120","citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:45408d7cf3e326d50956ecc84893d2ab45fc6c09fc623797de41d356633962fa","observation_id":"f9f59803-8c12-481f-bdd8-7c6fe7c3ccaf","resolution":{"observed_at":"2026-08-07T04:48:54.937700Z","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":"2026-08-07T04:48:58.391812Z","title":"The arc topology","venue":null,"work_id":"75399938-6d8c-4437-bbe9-75c1dd69e180","year":1988},"citing_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},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:55.046581Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:1c254a5c078c91c120734729fb566c7860da3b7d33152af7000846b5a25cbe43","observation_id":"c5f93be9-f42e-42f2-96c3-e39d3b6b2e04","resolution":{"observed_at":"2026-08-07T04:48:58.517976Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-07T04:48:55.178566Z","title":"Motivic cohomology of mixed characteristic schemes","venue":null,"work_id":null,"year":null},"citing_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},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:55.178566Z"},"links":{"cited_paper":"/paper/2412.06635","citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:5054da6763cf16192b982eff26bbd8dab101adb4d8a08a6ed6325d2e81e00434","observation_id":"cca9e9ce-5155-4c31-8a8e-ce5f0587d295","resolution":{"observed_at":"2026-08-07T04:48:55.178566Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.07842","last_updated":"2017-04-03T12:27:22Z","snapshot_observed_at":"2026-08-04T10:08:32.467228Z","submitted_at":"2017-03-22T20:34:26Z","title":"A K-theoretic approach to Artin maps","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.07842","snapshot_observed_at":"2026-08-07T04:48:55.319167Z","title":"A K-theoretic approach to Artin maps.https://arxiv.org/abs/1703.07842,","venue":null,"work_id":null,"year":null},"citing_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},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:55.319167Z"},"links":{"cited_paper":"/paper/1703.07842","citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:34f7022a3ff3bc0d7adfe9223b20deab18ba6d7136d0bd8190e04fb5316e8e25","observation_id":"727fdd5f-da65-42c8-b14f-55524b49eb62","resolution":{"observed_at":"2026-08-07T04:48:55.319167Z","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":"2026-08-07T04:48:55.540523Z","title":"Motivic cohomology of equicharacteristic schemes","venue":null,"work_id":null,"year":null},"citing_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},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:55.540523Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:86ee5ea76c1afa51d9dcb0b21ad3a9d8015c703736100c3b3a5e601d810fc5b8","observation_id":"d0a07940-b593-414c-93c9-d785b1c7acec","resolution":{"observed_at":"2026-08-07T04:48:55.540523Z","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":"2026-08-07T04:48:57.276995Z","title":"Directed by A","venue":null,"work_id":"9dfd6616-d92f-4546-a4c2-7567a8766530","year":1960},"citing_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},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:56.434874Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:ba7e57d988c6b00cf01d16ebd1e7833467202d8fb5bb9e2560d5a5c62623fcc5","observation_id":"b823becd-8ec2-477a-aa09-963127bee4a8","resolution":{"observed_at":"2026-08-07T04:48:57.389409Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-07T04:48:57.484639Z","title":"Values of zeta-functions at nonnegative integers","venue":null,"work_id":"76c49a69-60bd-4c10-82df-4eb2658148ec","year":1983},"citing_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},"reference_index":1973,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:56.381568Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:cf9a421995d9dbf9b4e7b6f3425e78320ea327fbb66583032a003899e55a5312","observation_id":"83a48ecc-bc5c-4d92-b207-063d3db8247e","resolution":{"observed_at":"2026-08-07T04:48:57.555785Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-07T04:48:58.655533Z","title":"Be˘ ılinson","venue":null,"work_id":"5d019dda-04f2-49b0-9cf7-89cc8f3d5f32","year":1985},"citing_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},"reference_index":1986,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:54.791801Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:7296bbb56c3987a40f1d2949204dd44b655234173d2145bd54598f4507d674e7","observation_id":"b0fbf76b-e8c6-4479-b0d7-53aa9881d185","resolution":{"observed_at":"2026-08-07T04:48:58.763797Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-07T04:48:58.077417Z","title":"Crystalline cohomology and p-adic Galois-representations","venue":null,"work_id":"95ad9afe-9f23-4449-8940-abb3ece6eb04","year":1988},"citing_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},"reference_index":1988,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:55.687314Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:23fbaa2a2dde1524cba6da2c472aa1123222e3fc2026b943a24d268734b17874","observation_id":"b1221cca-006d-4217-8a8b-b18b6b6c15de","resolution":{"observed_at":"2026-08-07T04:48:58.175257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-07T04:48:57.764289Z","title":"[GL87] Henri Gillet and Marc Levine","venue":null,"work_id":"679ac8c8-f0db-4438-93cb-c5621debe830","year":1972},"citing_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},"reference_index":1992,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:55.973809Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:18233bac41e24db4cfb8be3979b1e4a7124cbf50a87c6a253558a7dc8463ba48","observation_id":"82da6aff-20c8-4aa6-9b0c-4ee5e06cdefe","resolution":{"observed_at":"2026-08-07T04:48:57.842168Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-07T04:48:57.637701Z","title":"Classical","venue":null,"work_id":"1db4cbc6-8f43-4562-8a20-d59001d7006f","year":1972},"citing_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},"reference_index":2001,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:56.316225Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:d5dff48273926460a9fcb759b79e9c788907369ad185f1052c35b3260538d381","observation_id":"fe7ea501-339c-4811-a343-f80ed480c038","resolution":{"observed_at":"2026-08-07T04:48:57.722837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-07T04:48:57.917318Z","title":"p-adic periods and p-adic étale cohomology","venue":null,"work_id":"7d402350-5221-41ed-9110-d611aa7334a1","year":1985},"citing_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},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:55.798926Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:426b70291a4c067def5d6a2c6e2d4a93b8bbccc15912c04493bd213dcd67246d","observation_id":"21529da7-84e5-4ffe-9e3a-1a7a121fa47c","resolution":{"observed_at":"2026-08-07T04:48:57.972659Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-07T04:48:56.080881Z","title":"A motivic filtration on the topological cyclic homology of commutative ring spectra.https://arxiv.org/abs/2206.11208,","venue":null,"work_id":null,"year":null},"citing_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},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:56.080881Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:203d55a7a0c31fce2131fe0c4e10ac0a0a1cd62a2eec22d06740b519572a9e66","observation_id":"fd04e93a-818a-4f89-8204-0449b17cb199","resolution":{"observed_at":"2026-08-07T04:48:56.080881Z","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":"2026-08-07T04:48:58.253104Z","title":"Hoobler, and Bruno Kahn","venue":null,"work_id":"4082cba4-44af-4bd1-8726-7280939a3487","year":1996},"citing_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},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:55.381277Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:ad0ae37102f4e387fed75c80c19e798d18c97c451ff8d391fcf5ca92ef84131d","observation_id":"d01fff58-bbb6-4088-b843-3c5ee72ceeee","resolution":{"observed_at":"2026-08-07T04:48:58.304743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-07T04:48:58.883876Z","title":"[Be˘ ı86] Alexander A","venue":null,"work_id":"46953bae-63e7-4dc1-8224-971322cdd8b8","year":1983},"citing_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},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:54.674069Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:a561aaa2c1c3cfdf55d3f221dbf2c402ca5ff53153eca344e0d1d3cb890dc1a5","observation_id":"5ad90d34-180f-4271-9842-427d60263349","resolution":{"observed_at":"2026-08-07T04:48:58.991746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-07T04:48:59.142505Z","title":"TheK-theory of perfectoid rings.Doc","venue":null,"work_id":"3eb756b4-83b3-497a-bd12-605b42dc78b3","year":1923},"citing_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},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:54.511416Z"},"links":{"citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:b686a92f8157c3cb53e3aa0f77e8c1d6c796d03123de8ace818edf2b5485af96","observation_id":"fd18aa41-c670-4624-9f62-bae6cdc2a67e","resolution":{"observed_at":"2026-08-07T04:48:59.267592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.04760","last_updated":"2025-06-06T18:43:59Z","snapshot_observed_at":"2026-08-07T15:49:02.210505Z","submitted_at":"2025-05-07T19:39:38Z","title":"Isotropic Torsors on Smooth Algebras over Pr\\\"ufer Rings","version":2},"cited_work":{"arxiv_id":"2505.04760","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.04760","snapshot_observed_at":"2026-08-07T04:48:56.664393Z","title":"Isotropic Torsors on Smooth Algebras over Pr\\\"ufer Rings","venue":"math.AG","work_id":"210a06d5-cc9b-42e1-98f8-6d2e7a45d4ae","year":2025},"citing_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},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T04:48:56.164095Z"},"links":{"cited_paper":"/paper/2505.04760","citing_paper":"/paper/2506.09910"},"observation_digest":"sha256:a45d9052fe8d7db579dcc4a71636b69db9a218f54a954c9327ec80810452c77c","observation_id":"5099b917-2de4-42c3-9e38-dd6d4c133d8f","resolution":{"observed_at":"2026-08-07T04:48:56.741151Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.09910","last_updated":"2026-07-27T18:02:35Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-11T18:30:35.799679Z","submitted_at":"2025-06-11T16:25:19Z","title":"Beilinson--Lichtenbaum phenomenon for motivic cohomology"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":1,"verified_fuzzy":12},"total_outbound_references":19},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 5 inbound Pith citation observations for arXiv:2506.09910."}