{"as_of":"2026-08-08T06:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:90fc9d011a12250b08480f5dfee7ea3598b4957622c2fd55bda05a43327af5c9","coverage":[{"denominator":10,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T12:57:15.866849Z","state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2606.21313/citation-record","integrity":"/paper/2606.21313/integrity","json":"/paper/2606.21313/citation-record.json","paper":"/paper/2606.21313"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.07805","last_updated":"2024-08-14T20:30:27Z","snapshot_observed_at":"2026-07-06T19:00:53.521468Z","submitted_at":"2024-08-14T20:30:27Z","title":"Reduction to depth zero for tame p-adic groups via Hecke algebra isomorphisms","version":1},"cited_work":{"arxiv_id":"2408.07805","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.07805","snapshot_observed_at":"2026-07-04T07:39:39.572997Z","title":"arXiv preprint arXiv:2408.07805 , year=","venue":null,"work_id":"60689cea-9c43-40b2-938a-a985a9dc1aeb","year":2017},"citing_paper":{"arxiv_id":"2606.21313","last_updated":"2026-06-19T10:51:48Z","snapshot_observed_at":"2026-08-04T11:39:43.162543Z","submitted_at":"2026-06-19T10:51:48Z","title":"On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\\mathrm{GL}_n$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-26T12:57:15.866849Z"},"links":{"cited_paper":"/paper/2408.07805","citing_paper":"/paper/2606.21313"},"observation_digest":"sha256:ee689977afab6232f33c122830e5570a77c2c5b5e526623f39ab5c70f4ee16c5","observation_id":"4de1e2ef-efdb-4813-a657-f60a7c75aa91","resolution":{"observed_at":"2026-07-04T07:39:39.574359Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.11092","last_updated":"2025-09-08T13:19:24Z","snapshot_observed_at":"2026-08-06T16:12:48.901438Z","submitted_at":"2023-12-18T10:41:18Z","title":"The asymptotic Hecke algebra and rigidity","version":3},"cited_work":{"arxiv_id":"2312.11092","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.11092","snapshot_observed_at":"2026-07-04T07:39:39.591165Z","title":"Dawydiak, On Lusztig’s asymptotic Hecke algebra for SL2, Proc","venue":null,"work_id":"9a7eef56-b367-40f6-bbdd-7e57bf640f69","year":2019},"citing_paper":{"arxiv_id":"2606.21313","last_updated":"2026-06-19T10:51:48Z","snapshot_observed_at":"2026-08-04T11:39:43.162543Z","submitted_at":"2026-06-19T10:51:48Z","title":"On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\\mathrm{GL}_n$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-26T12:57:15.866849Z"},"links":{"cited_paper":"/paper/2312.11092","citing_paper":"/paper/2606.21313"},"observation_digest":"sha256:62c827c7db7bb3a897ba2eb2153ad3960b120de9ae8bbfe24f3faa0992ab8c4b","observation_id":"6f07883c-828e-4019-9bfa-8f86f6683285","resolution":{"observed_at":"2026-07-04T07:39:39.592904Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.13459","last_updated":"2024-11-27T15:45:04Z","snapshot_observed_at":"2026-08-04T11:38:58.615774Z","submitted_at":"2021-02-26T13:34:06Z","title":"Geometrization of the local Langlands correspondence","version":4},"cited_work":{"arxiv_id":"2102.13459","doi":null,"metadata_source":"pith","pith_arxiv_id":"2102.13459","snapshot_observed_at":"2026-07-09T11:26:11.516294Z","title":"Geometrization of the local","venue":"math.RT","work_id":"e648bd80-854f-40a2-aa3a-75d0e46e123a","year":2021},"citing_paper":{"arxiv_id":"2606.21313","last_updated":"2026-06-19T10:51:48Z","snapshot_observed_at":"2026-08-04T11:39:43.162543Z","submitted_at":"2026-06-19T10:51:48Z","title":"On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\\mathrm{GL}_n$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-26T12:57:15.866849Z"},"links":{"cited_paper":"/paper/2102.13459","citing_paper":"/paper/2606.21313"},"observation_digest":"sha256:1ab13538c018187cd7f6c5e014692dc6bacf5a5bc143b04ccbee01969c4691de","observation_id":"4fedb45b-1950-4254-9ce7-32ea991a69fa","resolution":{"observed_at":"2026-07-04T07:39:39.584579Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.24201","last_updated":"2026-04-13T19:48:00Z","snapshot_observed_at":"2026-07-06T22:34:13.674208Z","submitted_at":"2025-10-28T09:06:25Z","title":"Rationality properties of complex representations of reductive p-adic groups","version":2},"cited_work":{"arxiv_id":"2510.24201","doi":null,"metadata_source":"pith","pith_arxiv_id":"2510.24201","snapshot_observed_at":"2026-07-04T07:39:39.575627Z","title":"Rationality properties of complex representations of reductive p-adic groups","venue":"math.RT","work_id":"6a84201e-7186-4220-b608-4edde5a26c1d","year":2025},"citing_paper":{"arxiv_id":"2606.21313","last_updated":"2026-06-19T10:51:48Z","snapshot_observed_at":"2026-08-04T11:39:43.162543Z","submitted_at":"2026-06-19T10:51:48Z","title":"On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\\mathrm{GL}_n$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-26T12:57:15.866849Z"},"links":{"cited_paper":"/paper/2510.24201","citing_paper":"/paper/2606.21313"},"observation_digest":"sha256:ed2e16e99b995c14a44e922770ede7ec0ac67aac9ea46d2b0dc3601649b9cb94","observation_id":"30a2e81a-ab54-4d22-8e16-89326da9f1b3","resolution":{"observed_at":"2026-07-04T07:39:39.577305Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-26T12:57:15.866849Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.21313","last_updated":"2026-06-19T10:51:48Z","snapshot_observed_at":"2026-08-04T11:39:43.162543Z","submitted_at":"2026-06-19T10:51:48Z","title":"On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\\mathrm{GL}_n$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-26T12:57:15.866849Z"},"links":{"citing_paper":"/paper/2606.21313"},"observation_digest":"sha256:3170078e1327a7ceeaef0c2f0b9de2ea44dd0ecc134cffad7a06ca8c6656661e","observation_id":"95e94796-6dff-48ab-8f98-42a20b595d68","resolution":{"observed_at":"2026-06-26T12:57:15.866849Z","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":"2026-06-26T12:57:15.866849Z","title":"Rickard, Derived equivalences as derived functors , J","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.21313","last_updated":"2026-06-19T10:51:48Z","snapshot_observed_at":"2026-08-04T11:39:43.162543Z","submitted_at":"2026-06-19T10:51:48Z","title":"On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\\mathrm{GL}_n$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-26T12:57:15.866849Z"},"links":{"citing_paper":"/paper/2606.21313"},"observation_digest":"sha256:c889419a2c2956e77a065219f9afd2e8376ceeb28835d4dd2b0519993735b0ff","observation_id":"7c519695-7ae2-48ea-84be-a1e4b92e73f4","resolution":{"observed_at":"2026-06-26T12:57:15.866849Z","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":"2512.18685","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-04T07:39:39.587774Z","title":null,"venue":null,"work_id":"6e5941a6-3e01-4bd1-bdab-a2c4d3b80134","year":1988},"citing_paper":{"arxiv_id":"2606.21313","last_updated":"2026-06-19T10:51:48Z","snapshot_observed_at":"2026-08-04T11:39:43.162543Z","submitted_at":"2026-06-19T10:51:48Z","title":"On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\\mathrm{GL}_n$","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-26T12:57:15.866849Z"},"links":{"citing_paper":"/paper/2606.21313"},"observation_digest":"sha256:649600fe6d479e4fd44cc55392a3af7f2ca6dad8cb2a79236982efe949df1e27","observation_id":"5547c39e-756c-406a-81a9-c695cbacb73a","resolution":{"observed_at":"2026-07-04T07:39:39.589512Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.02752","last_updated":"2024-07-03T02:02:57Z","snapshot_observed_at":"2026-08-06T08:04:01.283267Z","submitted_at":"2024-07-03T02:02:57Z","title":"Trace Paley-Wiener theorem for Braverman-Kazhdan's asymptotic Hecke algebra","version":1},"cited_work":{"arxiv_id":"2407.02752","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.02752","snapshot_observed_at":"2026-07-04T07:39:39.569981Z","title":"The definition of the tempered category","venue":null,"work_id":"1919e811-1e88-4499-86f8-6c8d4d2f3b64","year":1999},"citing_paper":{"arxiv_id":"2606.21313","last_updated":"2026-06-19T10:51:48Z","snapshot_observed_at":"2026-08-04T11:39:43.162543Z","submitted_at":"2026-06-19T10:51:48Z","title":"On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\\mathrm{GL}_n$","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-26T12:57:15.866849Z"},"links":{"cited_paper":"/paper/2407.02752","citing_paper":"/paper/2606.21313"},"observation_digest":"sha256:bd86aca1b465d48f40ed720f6def875eb2b1f5797765a6f33121ec89ea3ebd64","observation_id":"d0ccafed-112c-433f-8677-1d46c621aae2","resolution":{"observed_at":"2026-07-04T07:39:39.571631Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-26T12:57:15.866849Z","title":"[SZ08] P","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.21313","last_updated":"2026-06-19T10:51:48Z","snapshot_observed_at":"2026-08-04T11:39:43.162543Z","submitted_at":"2026-06-19T10:51:48Z","title":"On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\\mathrm{GL}_n$","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-26T12:57:15.866849Z"},"links":{"citing_paper":"/paper/2606.21313"},"observation_digest":"sha256:b53b1f50735dae1219c7195ca462395fcc197bf03d845b37637e63d326d5a97e","observation_id":"bb50d2f1-b7a0-4c5e-8ba9-08c063283f6d","resolution":{"observed_at":"2026-06-26T12:57:15.866849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.07482","last_updated":"2025-04-10T06:24:41Z","snapshot_observed_at":"2026-08-07T16:06:57.900693Z","submitted_at":"2025-04-10T06:24:41Z","title":"Tame categorical local Langlands correspondence","version":1},"cited_work":{"arxiv_id":"2504.07482","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.07482","snapshot_observed_at":"2026-07-04T07:39:39.567253Z","title":"Tame categorical local langlands correspondence.arXiv preprint arXiv:2504.07482","venue":null,"work_id":"838cc1d8-7a28-4f25-a01c-df43619c3380","year":2016},"citing_paper":{"arxiv_id":"2606.21313","last_updated":"2026-06-19T10:51:48Z","snapshot_observed_at":"2026-08-04T11:39:43.162543Z","submitted_at":"2026-06-19T10:51:48Z","title":"On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\\mathrm{GL}_n$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-26T12:57:15.866849Z"},"links":{"cited_paper":"/paper/2504.07482","citing_paper":"/paper/2606.21313"},"observation_digest":"sha256:75a81ada4d33ced1ddbed0e43f639806ecf3805cb82a0c9d285995a081378a42","observation_id":"69a57d33-5329-47e6-a339-a29ed8d56599","resolution":{"observed_at":"2026-07-04T07:39:39.568807Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2606.21313","last_updated":"2026-06-19T10:51:48Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-04T11:39:43.162543Z","submitted_at":"2026-06-19T10:51:48Z","title":"On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\\mathrm{GL}_n$"},"reference_resolution":{"displayed":10,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":7,"verified_fuzzy":0},"total_outbound_references":10},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2606.21313."}