{"as_of":"2026-08-13T17:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f97cc59f95d4fc4c0da5d634e533ad62b87c3ba160ff2b8c80dc5e1867cbca0b","coverage":[{"denominator":45,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":45,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T12:34:50.930807Z","state":"measured"},{"denominator":45,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":45,"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/2411.17246/citation-record","integrity":"/paper/2411.17246/integrity","json":"/paper/2411.17246/citation-record.json","paper":"/paper/2411.17246"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:34:51.333161Z","title":null,"venue":null,"work_id":"ff5c9e06-ea89-44ed-95d5-deec2374532d","year":2023},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.803976Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:51e44502a795b775cc8aca6f040103509573bf09c15f002ac5548f89b6f46229","observation_id":"13b2c17f-a803-4ee3-a790-63e792e861ed","resolution":{"observed_at":"2026-08-12T12:34:51.336022Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2111.05236","last_updated":"2021-11-09T16:16:01Z","snapshot_observed_at":"2026-08-13T09:28:38.629425Z","submitted_at":"2021-11-09T16:16:01Z","title":"On the small measure expansion phenomenon in connected noncompact nonabelian groups","version":1},"cited_work":{"arxiv_id":"2111.05236","doi":null,"metadata_source":"pith","pith_arxiv_id":"2111.05236","snapshot_observed_at":"2026-08-12T12:34:50.991855Z","title":"On the small measure expansion phenomenon in connected noncompact nonabelian groups","venue":"math.GR","work_id":"e765a0bd-05c5-438b-8260-fce458ea8d8c","year":2021},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.807637Z"},"links":{"cited_paper":"/paper/2111.05236","citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:0f4b30d9e235a2d4934c649a1c8a595da6a16134dcd2cb9db07afef696343330","observation_id":"fa91a53a-ae82-4af0-8acc-4450c732652c","resolution":{"observed_at":"2026-08-12T12:34:50.995718Z","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":"2026-08-12T12:34:51.325314Z","title":null,"venue":null,"work_id":"3b804344-81ef-41fa-bacc-1f985ada097a","year":2016},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.811097Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:0c19b1df663346475c3e7deefec96126f06f53a724896351711108acb8f0a219","observation_id":"7e8e6744-0d40-43cc-86e7-1da508e37827","resolution":{"observed_at":"2026-08-12T12:34:51.328103Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.317206Z","title":null,"venue":null,"work_id":"5af276f3-ab3c-4b0d-8b88-29a584e8e4ae","year":2008},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.814272Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:5139a1b51979d1c2b9b60edf00e3b103d905bf4774e78361a48edacd3159c6b3","observation_id":"4c9febfe-9a37-4685-b25b-87922722de7e","resolution":{"observed_at":"2026-08-12T12:34:51.320020Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.309052Z","title":null,"venue":null,"work_id":"f7dce62d-706b-4973-b819-787647a53d6f","year":2008},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.817283Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:cff0f1ce64fe0fe593656548a7af4f0690cf5a47398bfd754caead10298f282f","observation_id":"c9e10751-4b10-46bf-a925-b09eead5e7f9","resolution":{"observed_at":"2026-08-12T12:34:51.311961Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.300568Z","title":null,"venue":null,"work_id":"b51db4af-f337-4a85-bff0-300c23125a6b","year":2008},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.820362Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:7b695ce8152ce9cfd443306b0a0c0c4e200708b83de18a04418a3f4b132d4655","observation_id":"c3e7c826-b77b-4a02-a475-816558c13c38","resolution":{"observed_at":"2026-08-12T12:34:51.303972Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.292665Z","title":null,"venue":null,"work_id":"3f03f79e-7ca9-4eb0-a1fa-ff56bc740114","year":2009},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.823437Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:dcb34c770104e0454cf22f1a8460cec3dea3440b379e8aecf7f3454758b738b9","observation_id":"ecf572e0-79c8-4845-bc9d-c6843de37d97","resolution":{"observed_at":"2026-08-12T12:34:51.295541Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.284657Z","title":null,"venue":null,"work_id":"c07ae7b1-cdde-40fc-8cdf-c3a239853021","year":2012},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.826224Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:9c5ded36d339212fec75987e17cc53e99391367a444c344d99e6a1a6a5290d28","observation_id":"2b28d179-870e-4e10-a75c-10cb122d4b9a","resolution":{"observed_at":"2026-08-12T12:34:51.287585Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.276420Z","title":null,"venue":null,"work_id":"ac03c061-96e2-46cd-9e9e-95916fe6d563","year":2010},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.829003Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:2a149f34b5c8a2036220ed39be30fc98e79297a31147855c6dc578e041515bed","observation_id":"532cb653-102f-4dac-8095-0cb1379274ff","resolution":{"observed_at":"2026-08-12T12:34:51.279325Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.268429Z","title":null,"venue":null,"work_id":"b88dbf0f-325e-438d-b3c9-f2944ce8a85e","year":2011},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.831765Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:f1e3ff02e85ac02b0d984756b5103cade7e830ad3c86d32c62a5791d9b734064","observation_id":"2a7a3d33-30c8-4542-8c19-7da859b55c61","resolution":{"observed_at":"2026-08-12T12:34:51.271387Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.260439Z","title":null,"venue":null,"work_id":"83875c24-4b95-45fc-9e1b-3de3dbfa6105","year":2012},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.834604Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:2344c00e4d40e9757564f9e21b04c3b9385d3988e5cc1053943d241d30aef12e","observation_id":"9372bc5e-be2e-45fe-833e-581011aa3aa2","resolution":{"observed_at":"2026-08-12T12:34:51.263232Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.252174Z","title":null,"venue":null,"work_id":"57c43163-a147-4b20-86fa-d9b097d54e53","year":2018},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.837584Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:9383521cf832cd9a771d770c55e232b091844d33bcff53a858f70b1f767be7d8","observation_id":"1f94477c-73f8-4bf4-8d38-5ee34abc1fe7","resolution":{"observed_at":"2026-08-12T12:34:51.255149Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.244367Z","title":null,"venue":null,"work_id":"e604562f-bc63-4944-ac3f-c85bd0482f40","year":2015},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.840369Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:813b0b9186d92bc93d82ecaf2a614a09e9d36026ba1a76b793bb74776c6ae5b3","observation_id":"fb25c8d7-67ea-4a66-a2b6-07d148a327b4","resolution":{"observed_at":"2026-08-12T12:34:51.247204Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.236209Z","title":null,"venue":null,"work_id":"ae42a87c-e4ae-4525-a8f2-aec87f2b3301","year":2015},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.843111Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:389b77bc946fdd37a9903a9c66248408fbaf720363f2d83d2f7445b753e5cedb","observation_id":"4eaaa294-7370-4d39-b519-c9cd1abe0fe1","resolution":{"observed_at":"2026-08-12T12:34:51.239228Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.227866Z","title":null,"venue":null,"work_id":"4eabd519-a843-403a-86a6-00760d232110","year":2024},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.845960Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:5647f88dee8b686005376fed4a48b72225e94e0f5ac8912652a1226e03809cb8","observation_id":"864de9b7-0851-4aa6-ad32-f3cdd9fd9692","resolution":{"observed_at":"2026-08-12T12:34:51.230864Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.219765Z","title":null,"venue":null,"work_id":"5842c838-8bf4-4e66-91da-358d0c9fc739","year":2014},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.848651Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:be47caafdd56e3c96c96e2be66bb0aa6f8dc68970cc7c1f5979e394e4960f3b1","observation_id":"66239c80-3c43-4704-98ae-c470d48585c5","resolution":{"observed_at":"2026-08-12T12:34:51.222669Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.211177Z","title":"Rodriguez Fanlo and F","venue":null,"work_id":"260d1b1e-5000-45e8-984b-86e464c5c38e","year":2023},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.851531Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:276e5da9513792313d684b7768081356ff49758e84f615961fc80134c1339585","observation_id":"64f3deef-26cf-478d-8a97-a9925ee98c3a","resolution":{"observed_at":"2026-08-12T12:34:51.214231Z","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":"2026-08-12T12:34:51.202833Z","title":"Gardner, The B runn- M inkowski inequality , Bull","venue":null,"work_id":"f5d4df3b-5fe7-4f13-98f3-b138698619cb","year":2002},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.854224Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:19fb34751f0156db29a6ba56077c40e12b944cdbe24886677280bc36c32f2207","observation_id":"48078595-dc3a-432f-b2de-7bc0dc1c8ccb","resolution":{"observed_at":"2026-08-12T12:34:51.205868Z","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":"2026-08-12T12:34:51.194442Z","title":null,"venue":null,"work_id":"9a4609c7-9422-43ed-8ee1-146d97927ed9","year":2024},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.857151Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:1a34b812098b90f9b7b70405d739b1817930cf26d20567e29a492c1fa34d3d4b","observation_id":"136552a4-ba3e-40be-9224-7cd48036c3ec","resolution":{"observed_at":"2026-08-12T12:34:51.197468Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.185903Z","title":"Gleason, Groups without small subgroups, Ann","venue":null,"work_id":"24039701-9248-4138-94a8-847c706bf1c7","year":1952},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.860070Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:361a651be7dcc9a31822bb5b0d65d402546b7db2db0960c089ef22803acf2062","observation_id":"805afbd4-1fa0-482c-9ec5-4e77d241165e","resolution":{"observed_at":"2026-08-12T12:34:51.189132Z","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":"2026-08-12T12:34:51.177503Z","title":null,"venue":null,"work_id":"bf37405f-4140-4e1f-9d0f-7cdc084bf87d","year":2008},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.862824Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:64319f482b5de5b56b321a5cf33cd220b59f1436c1ec26e7a1d7f708978c7004","observation_id":"0c7079f2-ba0d-43f5-9c31-fba29bb1ea76","resolution":{"observed_at":"2026-08-12T12:34:51.180387Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.168561Z","title":null,"venue":null,"work_id":"6bd37606-90c2-41eb-a36c-530933031244","year":2009},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.865463Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:8db3db659f782c1e69812004a36bdc9cb93d7a9211043a7f07679a1046669844","observation_id":"d9ec77b2-2334-410c-832f-ad7b55bc1189","resolution":{"observed_at":"2026-08-12T12:34:51.171762Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.160118Z","title":null,"venue":null,"work_id":"388fa3a3-33f1-489c-b0c4-6d07543150cc","year":1981},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.868222Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:85f289c9d652566e1c8580a4bc3ce29783bb7730b383c7290fa001f8512184e6","observation_id":"08aef8ae-e67c-4531-b089-35c51c4f9c8a","resolution":{"observed_at":"2026-08-12T12:34:51.163125Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.151787Z","title":null,"venue":null,"work_id":"d35a965f-29a4-4ffc-a574-aeb052e82612","year":2010},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.871002Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:9d35e9f38f6e08311d618cb35e9db6a866a1bc88a366d9215eeae43162fabae2","observation_id":"2f4aa943-6ad0-4f11-b02f-6838464fcfe6","resolution":{"observed_at":"2026-08-12T12:34:51.154717Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.143197Z","title":null,"venue":null,"work_id":"9fb48aa5-4c53-4007-b02e-1b1ba88c0e11","year":2008},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.873757Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:0d48e485d63fd928b311c843569d39a334bb28ef4af2e34f386eaeca5d8305da","observation_id":"b3485ee1-9812-4329-b9a1-b28f534e1a51","resolution":{"observed_at":"2026-08-12T12:34:51.146192Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.135010Z","title":"0, 2450022","venue":null,"work_id":"75ee620e-ab88-4d85-be35-9f8dbb7c016d","year":null},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.876424Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:3da886a7d8c0f5b3ff18b68cccbdff02e194fa84446467fd12240c7d228fe312","observation_id":"f4c2baae-7920-43d1-b938-7d37f70241d4","resolution":{"observed_at":"2026-08-12T12:34:51.137863Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:34:50.879212Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.879212Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:232d30bcc82aaf2df37257be41e2eb57fa01e0403d4ffc416a622a63205f98b0","observation_id":"60393817-fd1c-47e9-864a-dba5b5f1d71f","resolution":{"observed_at":"2026-08-12T12:34:50.879212Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2011.12009","last_updated":"2022-02-21T20:10:46Z","snapshot_observed_at":"2026-08-07T00:23:56.524024Z","submitted_at":"2020-11-24T10:27:14Z","title":"Beyond the Lascar Group","version":3},"cited_work":{"arxiv_id":"2011.12009","doi":null,"metadata_source":"pith","pith_arxiv_id":"2011.12009","snapshot_observed_at":"2026-08-12T12:34:50.980909Z","title":"Beyond the Lascar Group","venue":"math.LO","work_id":"222060c4-b48c-4bfa-aa71-b6288960a4d1","year":2020},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.882128Z"},"links":{"cited_paper":"/paper/2011.12009","citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:771366c47ef5aad40dc255b9ba2b6c23c2bc90de78df03e7da8f3e5cdac2a8d8","observation_id":"ffc6d8c2-93b7-45b4-869a-13c034ca056e","resolution":{"observed_at":"2026-08-12T12:34:50.983956Z","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":"2026-08-12T12:34:51.121318Z","title":null,"venue":null,"work_id":"de00289b-5e85-431e-add7-b3bc1f90e693","year":2022},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.885105Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:c93eff437d7e742cee08ed8b757148cb2cde2659670331a227804a682b65de04","observation_id":"a047b750-089e-4611-9c3b-5f8533924c9d","resolution":{"observed_at":"2026-08-12T12:34:51.124148Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2303.15628","last_updated":"2023-03-27T22:55:35Z","snapshot_observed_at":"2026-08-13T12:15:15.946991Z","submitted_at":"2023-03-27T22:55:35Z","title":"Measure growth in compact semisimple Lie groups and the Kemperman Inverse Problem","version":1},"cited_work":{"arxiv_id":"2303.15628","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.15628","snapshot_observed_at":"2026-08-12T12:34:50.969484Z","title":"Measure growth in compact semisimple Lie groups and the Kemperman Inverse Problem","venue":"math.GR","work_id":"be518d6e-7d60-4fee-b798-6d874a0734eb","year":2023},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.887901Z"},"links":{"cited_paper":"/paper/2303.15628","citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:79442745976a9d3cfdfbe45aa94726dfe0e93f37e4d5d81141a900489f3028da","observation_id":"90355e25-2baf-40f8-a403-268c60376ad2","resolution":{"observed_at":"2026-08-12T12:34:50.972798Z","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":{"arxiv_id":"2101.07782","last_updated":"2023-05-08T21:00:00Z","snapshot_observed_at":"2026-08-13T16:50:06.489563Z","submitted_at":"2021-01-19T18:55:49Z","title":"A nonabelian Brunn-Minkowski inequality","version":3},"cited_work":{"arxiv_id":"2101.07782","doi":null,"metadata_source":"pith","pith_arxiv_id":"2101.07782","snapshot_observed_at":"2026-08-12T12:34:50.955950Z","title":"A nonabelian Brunn-Minkowski inequality","venue":"math.GR","work_id":"ecc1659c-0b70-49dc-832b-a1206f5336ea","year":2021},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.890983Z"},"links":{"cited_paper":"/paper/2101.07782","citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:0b02d1ff56d54173f1315b0966149db1fe247d6474f79e7cd4e602e95d3fc6de","observation_id":"67b2e8bf-2ce4-457d-8727-4c42c8bad886","resolution":{"observed_at":"2026-08-12T12:34:50.960819Z","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":"2026-08-12T12:34:51.113428Z","title":null,"venue":null,"work_id":"a8faa815-957f-4fee-a401-96cabd394cae","year":2023},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.894120Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:46362d60eeca3ebd22a35dcb730030b3debb3ea45c9d4f2d99544b6ee01763d2","observation_id":"851a6de5-36ad-4970-8dc9-fd38142e1663","resolution":{"observed_at":"2026-08-12T12:34:51.116267Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.105295Z","title":null,"venue":null,"work_id":"277371ac-2775-4b89-95ae-a5a45f78bc23","year":2023},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.896859Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:1e4121eab6067b8025c10b43c7de2ddd1c3dfa37a40696b17f8cce4dbf4e20be","observation_id":"c348c182-09ef-4f58-8624-0e271e109789","resolution":{"observed_at":"2026-08-12T12:34:51.108337Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.097404Z","title":null,"venue":null,"work_id":"d1906b69-1731-46d8-bf27-4fbb537172f3","year":1969},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.899643Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:65931df967cd3d7a7a2a2e04d43423f6bc811d0ae0614c06040aa02a86c5a435","observation_id":"886be6bb-29be-4176-bc2d-43113f625dc0","resolution":{"observed_at":"2026-08-12T12:34:51.100196Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.089140Z","title":null,"venue":null,"work_id":"4a37df59-7b0b-4f07-a89a-4cb3d06d193d","year":2023},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.902399Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:55c41e820c1082d614ee5876b590ab0172a883e1f3c5310a14f118eb570fe614","observation_id":"74cf001f-af1f-4740-9ccf-87134b9e6a9c","resolution":{"observed_at":"2026-08-12T12:34:51.092085Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.080526Z","title":null,"venue":null,"work_id":"f2793c97-f683-408d-93c4-1d1475789108","year":2024},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.905448Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:e8080cf084683574caa984b8107332019ed5cbd3e304df3f784b236590d579ae","observation_id":"0f5e28b0-7576-4eca-b018-478961282ea0","resolution":{"observed_at":"2026-08-12T12:34:51.083430Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.072252Z","title":null,"venue":null,"work_id":"4b5ed9d2-f854-4199-bd33-dfccb1a01759","year":1973},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.908235Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:f5a95e4f4796983a2c3ebc2dd883da89cfc6999e846f66f6fcbee946a264097a","observation_id":"c11979f8-c105-4cdd-ba49-8ac426a093e3","resolution":{"observed_at":"2026-08-12T12:34:51.075137Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.063861Z","title":"Wagner, Approximate subgroups, J","venue":null,"work_id":"e5262907-f930-4ded-a22a-7b898b85497c","year":2015},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.911015Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:fde6d2be629d1c0004d78da8ab137f219eb50531869cbdad6b468a49aa465537","observation_id":"3209eda6-0ad6-48fb-8e49-309c855c38e6","resolution":{"observed_at":"2026-08-12T12:34:51.066830Z","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":"2026-08-12T12:34:51.055338Z","title":null,"venue":null,"work_id":"4cafebd0-fe3e-4897-b0b3-09002f668073","year":2016},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.913779Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:5c8e068878b81c4bdc8aa2f3403264681892326fb3577753d2b43f03b04402d7","observation_id":"8a460cbe-b70c-4fb1-a859-5e2848d70254","resolution":{"observed_at":"2026-08-12T12:34:51.058272Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.047254Z","title":"PDE 5 (2012), no","venue":null,"work_id":"de3ec219-b4a1-459d-884e-fc48a57915aa","year":2012},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.916529Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:a189640301647e93e1c1ff41e6a4029b14a2d3c56e7351a82b75589a4ac35764","observation_id":"aca27910-acee-4cdb-8b85-bfee54efbec6","resolution":{"observed_at":"2026-08-12T12:34:51.050163Z","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":"2026-08-12T12:34:51.037994Z","title":null,"venue":null,"work_id":"f67e616d-fb92-484a-a397-b1951bd6909c","year":1961},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.919307Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:242c7375eb20927f60da7c531098efd31a980db84e3b95a207827f959a5d1a63","observation_id":"7917f9c0-3991-4c6c-b847-178f8c1e57f4","resolution":{"observed_at":"2026-08-12T12:34:51.041614Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.029518Z","title":"Solovay, A model of set-theory in which every set of reals is L ebesgue measurable , Ann","venue":null,"work_id":"51dfe212-5c40-4ea5-930f-0cadb1c929cf","year":1970},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.922170Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:aef3ba9bd4b9ead3b096090885194f32c07407c9b6c39f2cab378f1adc9aafec","observation_id":"39d1ca0f-f859-4a0d-a0a0-7bd5f33e5718","resolution":{"observed_at":"2026-08-12T12:34:51.032673Z","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":"2026-08-12T12:34:51.020027Z","title":null,"venue":null,"work_id":"cc1d50b9-2ec6-4794-a6f1-d12b83d6ecdd","year":1991},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.925047Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:16b76ba4ab14d7953968ffcb17742fe0a3826dcb0576d46c5e3eb9b52fafe007","observation_id":"13845f17-75fc-412d-85ad-5980a70154f0","resolution":{"observed_at":"2026-08-12T12:34:51.023115Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-12T12:34:51.010424Z","title":"5, 547--594","venue":null,"work_id":"15911158-5cf8-453b-a429-cac9edb33e6d","year":2008},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.928009Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:15b216fbc2a5e34286daca29d68db6078cc3dbfebe2155b144649c5c613c27b2","observation_id":"aedad9d6-3fd0-4db1-ab50-f1aae84ab843","resolution":{"observed_at":"2026-08-12T12:34:51.013649Z","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":"2026-08-12T12:34:51.001285Z","title":"Tits, Free subgroups in linear groups, J","venue":null,"work_id":"18d50d9a-a5bf-442d-a90b-a8a5536635ee","year":1972},"citing_paper":{"arxiv_id":"2411.17246","last_updated":"2024-11-26T09:25:28Z","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-12T12:34:50.930807Z"},"links":{"citing_paper":"/paper/2411.17246"},"observation_digest":"sha256:e22cd802b044fd3ebe4cc59f51edc3a2b3840e6db92b10dd1ad1a4f5213a344b","observation_id":"bd8d8e79-a271-4f28-937b-ee73e027490d","resolution":{"observed_at":"2026-08-12T12:34:51.004512Z","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":"2411.17246","last_updated":"2024-11-26T09:25:28Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-12T12:18:20.988428Z","submitted_at":"2024-11-26T09:25:28Z","title":"Measure doubling in unimodular locally compact groups and quotients"},"reference_resolution":{"displayed":45,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":32,"verified_exact":4,"verified_fuzzy":9},"total_outbound_references":45},"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 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2411.17246."}