{"as_of":"2026-08-13T17:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f28d51f5708ab602c4a26faf3fd0df092714d0885401cb1596aa634b16682fba","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T10:37:50.460795Z","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":"2026-08-13T06:32:02.005865+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/2412.16575/citation-record","integrity":"/paper/2412.16575/integrity","json":"/paper/2412.16575/citation-record.json","paper":"/paper/2412.16575"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T10:37:50.718685Z","title":"Curve neighborhoods of Schuber t varieties","venue":null,"work_id":"c3b99069-72da-45c7-9666-539fa7ca87ec","year":2015},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.386698Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:f30a81820da4ae3a58eae9fd031b3764e1487026adf30173b88aae74740528f6","observation_id":"d5b71b6b-eb9d-4145-886f-7b648d380eb5","resolution":{"observed_at":"2026-08-11T10:37:50.722528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.709382Z","title":"A splitting criterion for the Bruhat orderings on Coxeter groups","venue":null,"work_id":"d6b0ddad-fba7-478f-b7ff-189d595d1f78","year":1987},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.390905Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:6b344ca8f55c3c10a351b814e9e3533fdaf31ce89cefab00299fcd2ba97fa884","observation_id":"8ff33e5a-c243-4aff-be19-6b54d997a3a8","resolution":{"observed_at":"2026-08-11T10:37:50.712806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.700182Z","title":"Hecke algebras and shellings of Bruhat intervals","venue":null,"work_id":"8463a844-92b2-4736-9c68-1ef7205c21d2","year":1993},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.393938Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:242baacc21e2a3ac8a2ac0fbece4146172b6bb2af658b85d324cd55146a5aaf2","observation_id":"ca6dc8b7-1ffc-45f6-acc6-ffe7dcbb2f75","resolution":{"observed_at":"2026-08-11T10:37:50.703538Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.12072","last_updated":"2024-12-23T07:16:37Z","snapshot_observed_at":"2026-08-13T14:39:05.363876Z","submitted_at":"2022-08-25T13:09:55Z","title":"Singularities of local models","version":3},"cited_work":{"arxiv_id":"2208.12072","doi":null,"metadata_source":"pith","pith_arxiv_id":"2208.12072","snapshot_observed_at":"2026-08-11T10:37:50.503614Z","title":"Singularities of local models","venue":"math.AG","work_id":"e5763b91-dd03-494d-b91f-3e5b5730d0d2","year":2022},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.396941Z"},"links":{"cited_paper":"/paper/2208.12072","citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:8cd957d7e7549f93bab3007784cbd565502f68e6ad3b50f59f75e5468dd8acb1","observation_id":"b2e8ea2b-dea0-46ea-97ae-41727bd6b815","resolution":{"observed_at":"2026-08-11T10:37:50.508280Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.690684Z","title":"Aﬃn e Deligne- Lusztig varieties in aﬃne ﬂag varieties","venue":null,"work_id":"8e4827eb-61c9-457c-be3a-86ca72fa45aa","year":2010},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.400613Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:30855bbe7f5d859d3e70177c5fd3f74acbaa23e6e5f4601b44c2f2fb46e6c968","observation_id":"2eb6c2ec-43c2-4b78-a192-50908d47036b","resolution":{"observed_at":"2026-08-11T10:37:50.693978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.681414Z","title":"Appendix: On parahoric subgroups","venue":null,"work_id":"9235c4ce-5856-45ab-a886-b2a031ba3166","year":2008},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.403643Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:aa01f20b05b782c8086ef0b033dbedd59ee0ce00857192662f0c9169075ece2c","observation_id":"908c1f70-5ad6-47f5-9d4a-701b32ab55fb","resolution":{"observed_at":"2026-08-11T10:37:50.684686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.672096Z","title":"Alcoves associated to special ﬁbe rs of local models","venue":null,"work_id":"c456a06c-b7b3-4496-b951-e20c6818e8c5","year":2002},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.406944Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:2705cfffa0c05c33b5cc72ba827239763b3e9852873312b4e24bc41810425a81","observation_id":"2219812c-8bf1-4990-97f8-0eb6e291ef25","resolution":{"observed_at":"2026-08-11T10:37:50.675486Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.663029Z","title":"Vertexwise criteria for admissibility of alco ves","venue":null,"work_id":"df09f5e5-d63a-4efa-9ad0-ad779846789f","year":2017},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.409647Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:81933bd545d8e9c2d3fa3fe27ca33726be7d4a789ee3bda00f1053cbe3c57ed5","observation_id":"7ad5bd1d-a1d9-4932-a23c-e438853bf60b","resolution":{"observed_at":"2026-08-11T10:37:50.665808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.654755Z","title":"A subalgebra of 0-Hecke algebra","venue":null,"work_id":"86124ff6-b53e-4843-9e64-c2165e41f446","year":2009},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.412440Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:200fdd2a540c2f61be937dac75a5d9b53ae6b0658303dbccad6f2cb232aca213","observation_id":"b5f4795f-8248-45f0-9f53-1f5821e22810","resolution":{"observed_at":"2026-08-11T10:37:50.657532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.646263Z","title":"Geometric and homological properties of aﬃne Deligne-L usztig vari- eties","venue":null,"work_id":"595c6e8d-61f7-45f1-85ec-0f5e6611801f","year":2014},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.415172Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:1af5e8412affb94f4642f8793c36d360dd73ba8805364284c0eb0baf0d432d4c","observation_id":"00c57549-ad90-4add-a8c4-588154263095","resolution":{"observed_at":"2026-08-11T10:37:50.649410Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.637241Z","title":"Kottwitz-Rapoport conjecture on unions of aﬃne Delig ne-Lusztig varieties","venue":null,"work_id":"0c6ccbd1-3fed-430c-b338-c9091f8aeec3","year":2016},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.418306Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:5b6c099a340766bef363a21a0b73fa6dcbc20b30b96808f3f46f9427ff7ed646","observation_id":"3f5b85a3-c4cd-4356-8c7f-31674ff52bcd","resolution":{"observed_at":"2026-08-11T10:37:50.640708Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.628076Z","title":"Projected Richardson varieties and aﬃne Sc hubert vari- eties","venue":null,"work_id":"39296592-7f75-40da-b4fe-8b00ceeef198","year":2015},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.421459Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:0ea10697a3e71a156cb4b7c8c4d96623410415a6cd6537ca90453e15977fcecc","observation_id":"fcd6928e-5ca0-494a-a504-e7c10cc4e0d0","resolution":{"observed_at":"2026-08-11T10:37:50.631413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.618045Z","title":"On the µ-ordinary locus of a Shimura variety","venue":null,"work_id":"29da8418-5be0-4b33-b173-4680a1233439","year":2017},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.424703Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:c6132a3e37c4dc188abd6ecd1fbd70b34cfba7b34f6ac9e486adc45c7f9daef2","observation_id":"f772078a-8cf5-4e92-974e-fc8041e6d125","resolution":{"observed_at":"2026-08-11T10:37:50.621516Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.607893Z","title":"Dimension formula for the aﬃne Deligne-Lusztig variety X(µ, b)","venue":null,"work_id":"4e9f4354-2565-4d2f-bb57-f74e6e0e1b50","year":2021},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.427751Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:9f9641e60de876b238f4b44a0bf3197af61e6482c16171779e44e25ce33777fd","observation_id":"f36989d5-76e9-43ed-aa90-86ee9fe90bf9","resolution":{"observed_at":"2026-08-11T10:37:50.611760Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.597848Z","title":"A uniform model for Kirillov-Reshetikhin crysta ls I: Lifting the parabolic quantum Bruhat graph","venue":null,"work_id":"a7c24629-8c41-4c80-9b2d-f18d85660158","year":2015},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.430920Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:6721a82411a02ab79103e5952977f9e81a2c4a0556c479cca5f01603410fb6b1","observation_id":"dc7cb35f-ec70-4b29-ac80-30abd7031b71","resolution":{"observed_at":"2026-08-11T10:37:50.601464Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.587796Z","title":"Generic Newton points and the Newton poset in Iwahori-double cosets","venue":null,"work_id":"e8df43ac-2c39-4919-8892-bf93528d2567","year":2020},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.434162Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:b251084d273e60ffe9d9b0f277c8caff0bcb792191120e6d39377ee16626844b","observation_id":"50c35272-1642-400c-9fe2-b95bb39fe94b","resolution":{"observed_at":"2026-08-11T10:37:50.591276Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.578120Z","title":"Local models of Shimura varieties and a c onjecture of Kottwitz","venue":null,"work_id":"02eaba95-8f1d-4379-a5cb-12e513cd1999","year":2013},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.437478Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:69fb98807373c9a29b74690bcd33c64aeb8df046bbab93a0e88b060b615d2e70","observation_id":"04231a09-a681-42d6-a8fd-c86681fd4174","resolution":{"observed_at":"2026-08-11T10:37:50.581632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.567407Z","title":"Quantum Bruhat graph and Schubert polynomia ls","venue":null,"work_id":"3ba504a0-84c8-4795-abe7-f26fd0143924","year":2005},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.440628Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:f9212642756f4f3ec20fcf87e9b1f292020d51ba84edff03a0842212392f4f54","observation_id":"3eb93f37-00f9-4c16-9c96-0a0e71543a4a","resolution":{"observed_at":"2026-08-11T10:37:50.571478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.555418Z","title":"Period spaces for p-divisible groups","venue":null,"work_id":"6da2b6e3-251f-4e74-9c35-fc5a1d087153","year":1996},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.443792Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:c470b96338396474cfab339192e27b16b11bffd3ba644d9647edff2c4d3ef83d","observation_id":"2bba4540-a959-453a-a088-fb85c9288c74","resolution":{"observed_at":"2026-08-11T10:37:50.559165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.545426Z","title":"Aﬃne Deligne-Lusztig varieties and quantum Br uhat graph","venue":null,"work_id":"25c709c6-2ef0-4d3c-88ce-15e27e6cbb0b","year":2023},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.446860Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:80093b34a74395e6f35368c1f8ddb0be19281609bced3850da0e3e737f4f33e8","observation_id":"466f6a82-b329-42ea-801c-2c26523b80e5","resolution":{"observed_at":"2026-08-11T10:37:50.548976Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.02039","last_updated":"2023-06-09T08:19:52Z","snapshot_observed_at":"2026-08-13T15:50:15.634745Z","submitted_at":"2022-05-04T12:57:15Z","title":"Generic Newton points and cordial elements","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.02039","snapshot_observed_at":"2026-08-11T10:37:50.450659Z","title":"Schremmer","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.450659Z"},"links":{"cited_paper":"/paper/2205.02039","citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:759908a863b5fa931eaa07cebb1031ecbec28a97e0227f04aca2b17c63a65382","observation_id":"b7d02fde-3fbd-4e74-b15a-945fadaa5e46","resolution":{"observed_at":"2026-08-11T10:37:50.450659Z","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":"2026-08-11T10:37:50.535713Z","title":"Aﬃne Bruhat order and Demazure products","venue":null,"work_id":"56cb0230-34ff-4716-bb69-2c81eb3e17cf","year":2024},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.454320Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:f7e4d3d04f13225a9a50573b5e44c19228b57c38250def1bd9495095d7cf78d7","observation_id":"39065470-fdf5-48f1-ad99-3fe93c0a26b2","resolution":{"observed_at":"2026-08-11T10:37:50.538911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.526285Z","title":"Reductive groups over local ﬁelds","venue":null,"work_id":"749403dc-5b63-44e2-85ea-67096927bb26","year":1977},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.457460Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:4f1ab2277faa10ae4d85722a551e0300e74771b8b4adf25f49aa70efe9ab8f51","observation_id":"5d1bbed7-e8be-4bb0-932f-d56a3faf8ef5","resolution":{"observed_at":"2026-08-11T10:37:50.529596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T10:37:50.515218Z","title":"Aﬃne Grassmannians and the geometric Satake in mixed charac- teristic","venue":null,"work_id":"4569bdcb-f5d7-473e-ac66-a665a40835e3","year":2017},"citing_paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T10:37:50.460795Z"},"links":{"citing_paper":"/paper/2412.16575"},"observation_digest":"sha256:760660483fad85534d46d1fc7c90539ccaab444b8d8224c0bf8c70d0680a8f88","observation_id":"56d4ecf4-4172-46c3-895a-24e985fcc77b","resolution":{"observed_at":"2026-08-11T10:37:50.519710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.16575","last_updated":"2024-12-21T10:40:16Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-11T16:13:25.403667Z","submitted_at":"2024-12-21T10:40:16Z","title":"Irreducibility of Local Models"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":1,"verified_fuzzy":22},"total_outbound_references":24},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2412.16575."}