{"as_of":"2026-08-16T12:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5dfb2b48686384d9011e608cc4c93f788decee810fe3542d69a1bbbabbe0861a","coverage":[{"denominator":47,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":47,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:36:46.778474Z","state":"measured"},{"denominator":47,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":47,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.03053/citation-record","integrity":"/paper/1908.03053/integrity","json":"/paper/1908.03053/citation-record.json","paper":"/paper/1908.03053"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:36:47.798635Z","title":"Aldroubi, A","venue":null,"work_id":"1142633f-3989-4dc3-af2b-e54629426fb3","year":2008},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.537889Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:acd2ed7a9e367776d61bfcb1f8078b3287a655e0511d27f6067ac0fb899323ad","observation_id":"caf93a68-5175-4af5-af5f-34eb5da687c3","resolution":{"observed_at":"2026-08-14T14:36:47.803665Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.780082Z","title":"Ascensi, H","venue":null,"work_id":"20bfe48b-ddfc-4266-b593-49c3f6549425","year":2014},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.543655Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:57a7bfe6c062ed0fd3b255b93437a78217e8d9bb886649fc7f742c3415df3b9e","observation_id":"5e94c97e-ec6e-42c3-a83d-5cb4e6df655c","resolution":{"observed_at":"2026-08-14T14:36:47.786103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.760173Z","title":"Balan, P","venue":null,"work_id":"b6474ee8-8536-4713-8904-cb1915a8fda3","year":2006},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.549067Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:75b5bba326a49036b663d5ff3910d811ceb8cde2a88a9a2df242049e4bee788d","observation_id":"e5b8293d-e016-47e9-bef9-be866b304afc","resolution":{"observed_at":"2026-08-14T14:36:47.766804Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.743162Z","title":"Balan, P","venue":null,"work_id":"728cf58d-207a-4625-983c-271660f4e7f0","year":2006},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.554940Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:e705f46968e06ed6b4248c295676b58cb3072793cba3d3f27271b9dfe49ac93c","observation_id":"ce066655-8f5d-451e-9615-a9b79c541a3d","resolution":{"observed_at":"2026-08-14T14:36:47.748543Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.724915Z","title":null,"venue":null,"work_id":"a117e6d7-aabe-4b88-a3b8-9e4e3d922350","year":1988},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.560731Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:4c171170aaec9b6a9c37ab10a873b6974c9c5847c19ef68309a1acca54c31b97","observation_id":"66843777-f5b4-4eed-87ce-de7dd60b0552","resolution":{"observed_at":"2026-08-14T14:36:47.730480Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.703586Z","title":"Beurling","venue":null,"work_id":"e147a0ce-bc61-4dbb-b8de-1a7135e88758","year":1989},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.566807Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:d698a7ba5361c19d1f39fdbf2ee9dc329c685802183bee9ffd1dbab1e4a914d1","observation_id":"18446fa5-4a6d-4145-9db5-6dd543e0e9d5","resolution":{"observed_at":"2026-08-14T14:36:47.709474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.684185Z","title":"Christensen","venue":null,"work_id":"6231c2cc-2476-4ec2-aef8-8af3ef6dce77","year":1996},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.572704Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:5eab6327e17b6201cbb5232c2f5bdb5792ea429172d57998c0eb45d8fbcea0e1","observation_id":"c83dcf66-924d-4473-a47b-bf8942297cc4","resolution":{"observed_at":"2026-08-14T14:36:47.690684Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:46.579566Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.579566Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:3022ba55ed286f941339ac564e5bd8813ff0bb188e79010b87f27a4de66fb4fb","observation_id":"f4982548-646d-4ad5-a5d7-dca8c1d7f97a","resolution":{"observed_at":"2026-08-14T14:36:46.579566Z","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":"2026-08-14T14:36:47.649932Z","title":"Daubechies","venue":null,"work_id":"85caa652-3907-4a31-a059-ad78e1b6c2c2","year":1990},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.584599Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:370e817911597e37c8136f664a00e9ad7216629f1499a333ee5173189e0a0715","observation_id":"fddb5e62-0a04-493c-96fa-b3deb8eb5fc7","resolution":{"observed_at":"2026-08-14T14:36:47.654983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.631646Z","title":null,"venue":null,"work_id":"4d26e89c-2f95-4798-a70d-ff26c9b50cd3","year":2016},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.589741Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:0e4f213d3008453fa7b3758ef2bfe047b6ea6cf50c0d52bd93866a972924989d","observation_id":"8ef9f525-2ad6-433d-80e2-d3c8eb27b714","resolution":{"observed_at":"2026-08-14T14:36:47.637113Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.610602Z","title":"Dixmier and P","venue":null,"work_id":"45f98400-5116-4de4-bb67-796287d846e7","year":1978},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.595311Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:c9b844480c0894918a9bce245c2e9245212f5cf1d024f28d6d6c735394b5af34","observation_id":"4f475353-c3ce-4d36-9839-4abcaaf2e705","resolution":{"observed_at":"2026-08-14T14:36:47.617951Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.588194Z","title":null,"venue":null,"work_id":"f15837fa-9b4b-4b16-86dc-4cad51ff40c2","year":1970},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.601094Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:392310fc0ff219433d3b1dba2edeef94fcb17bb4ddeea86fcab21e75964e4d45","observation_id":"7eb5a1ee-20d7-4039-9d8a-630d2c6dec36","resolution":{"observed_at":"2026-08-14T14:36:47.594402Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.566219Z","title":null,"venue":null,"work_id":"e10d60a7-f963-4971-aa2e-988d2f301dae","year":1980},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.606281Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:1c42e6304ba7a4f0d94a460369de6d5b2496ddac7430115c4e256797efd2c1bf","observation_id":"26ba01a6-f480-41b4-8bef-6b7e3097190f","resolution":{"observed_at":"2026-08-14T14:36:47.573274Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.544031Z","title":null,"venue":null,"work_id":"4fa227ca-66d5-44e0-a3d8-f16c6c815dd2","year":1989},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.612254Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:69527240ae305fd41982a354335a79723fcfb5b87d38575ba098c8f1cc292cdd","observation_id":"c601dc43-6b14-48ab-932a-bef3ca90e4fe","resolution":{"observed_at":"2026-08-14T14:36:47.549975Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.525090Z","title":null,"venue":null,"work_id":"850ca4b2-7d02-4acd-854e-9ba642a9cf61","year":1989},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.617296Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:fdc7f46d82bdc272c18d4113638837e5831898cba1f0241fd090dd3e85b21067","observation_id":"8bedc332-ca71-4419-b9e4-19f73d40176d","resolution":{"observed_at":"2026-08-14T14:36:47.530844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.507597Z","title":null,"venue":null,"work_id":"9a4a2bc6-11b7-49b5-9daf-9db1daabc131","year":2001},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.623190Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:f6328257ea1824e24036851d66a73e3893ca8f658ea0c44cacf88041be3f2a6d","observation_id":"103b0495-e986-481a-8d90-c2b368bcdde4","resolution":{"observed_at":"2026-08-14T14:36:47.513559Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.489594Z","title":"Fischer and M","venue":null,"work_id":"42f720ab-3269-443f-8491-ee72c7707a54","year":2016},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.628550Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:26346a79310dce275fa9a8055c24a8618eae01dcde4f9e7cb01fe0e26f4b99d8","observation_id":"b1f6361b-5864-4ecd-9c26-b29d5f23b46c","resolution":{"observed_at":"2026-08-14T14:36:47.494521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.472839Z","title":null,"venue":null,"work_id":"369fd7f8-fc0d-44f0-8b06-04253d3a7de0","year":1982},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.633790Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:1bde8a293d74d92cde5d63b15d80eee09a5e9e0ec5f7bef8e78e140a3f45cdb7","observation_id":"334c1692-7c3a-412d-8a43-88daa1bf5e68","resolution":{"observed_at":"2026-08-14T14:36:47.477891Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.453401Z","title":null,"venue":null,"work_id":"48b1d2f0-4ca1-41c4-bc5a-390f13bb2843","year":1985},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.638997Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:366c5885d7a46101fcda9f80fa255a74e15a8780e9dfe6306f08cde2ac6bb70b","observation_id":"9be395ec-edf4-4e62-be3f-3763072bdb3d","resolution":{"observed_at":"2026-08-14T14:36:47.460053Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.435155Z","title":"Führ and K","venue":null,"work_id":"571ce6ff-8927-4e8f-b630-117386c36817","year":2007},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.643881Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:1c31583e938256ef55652fec7615a7b518520fcf8f50227b917bcf02874ee675","observation_id":"2d8e1915-dfd1-4b77-8cfc-e892809ca469","resolution":{"observed_at":"2026-08-14T14:36:47.440906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.418920Z","title":null,"venue":null,"work_id":"4bd20a86-eb42-4bc4-9fa2-3211466e95f3","year":2017},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.648930Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:92ec31f187994a1bf13de9c6f4a01c0685baeea8b3e8f655393dcda935b7858e","observation_id":"3af0e172-dd78-4d3f-8436-6431bd1c73d4","resolution":{"observed_at":"2026-08-14T14:36:47.423938Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.401976Z","title":"Gröchenig","venue":null,"work_id":"6fe9a1b7-dc23-4a6a-b342-5a164dffb40d","year":1991},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.654407Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:6612ca8d4b32600ff0d81ee3b07f85b3cd43c753fe571f400e69c5fcfc5bf91e","observation_id":"9e4e8348-f7dd-4033-9a0b-fc3851354d93","resolution":{"observed_at":"2026-08-14T14:36:47.407496Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.383242Z","title":"Gröchenig","venue":null,"work_id":"94693fd6-1169-4704-90dd-40f10d58628b","year":2008},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.659021Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:f1dc0beba284915944b925e344a5b6f8cb1108ec7e7a9fb7e6c99ac97ea6e71f","observation_id":"4a08ff3d-b111-42fa-82d3-9afdf81c6c0f","resolution":{"observed_at":"2026-08-14T14:36:47.389332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.363357Z","title":"Gröchenig","venue":null,"work_id":"48ddebf2-65af-41b5-b881-a18c6981b528","year":2010},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.663675Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:d1004838b06f61fc4447ece64fbe96526a228e3c676f6159a5d2c397b756fa55","observation_id":"84a93c81-2b4d-45ec-824a-630f7e2aceaa","resolution":{"observed_at":"2026-08-14T14:36:47.369442Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.343867Z","title":"Gröchenig, J","venue":null,"work_id":"3fa980cd-6886-4dfc-8591-d96bb010d926","year":2015},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.668293Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:19de854ad028b26d91f9ae485170acc21a88f00d9a8fe6209ee9118765022dc0","observation_id":"2ca34692-ec86-4d36-8ae5-1439d6351786","resolution":{"observed_at":"2026-08-14T14:36:47.350423Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.327240Z","title":"Gröchenig and M","venue":null,"work_id":"ebfbd3c8-62f3-497c-bbaf-1e335d17ff67","year":2009},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.673570Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:6ce635506c5915bd9a2f9b9267a1d542ceefc0973a16edeed0c50353e177e480","observation_id":"288b73b1-6185-4475-bc8d-0a95e38d93d1","resolution":{"observed_at":"2026-08-14T14:36:47.332598Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.311030Z","title":"Gröchenig and D","venue":null,"work_id":"56079af5-23eb-4145-8d65-d75c7c567641","year":2018},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.678292Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:80cf6645c4e8ada5b2ca885a84e7fb498ec328c6dce74d051fd3e3c8b76ae377","observation_id":"78996e40-31fe-4efc-ac1e-6e0f653d5c53","resolution":{"observed_at":"2026-08-14T14:36:47.316210Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.294757Z","title":null,"venue":null,"work_id":"0d9fa0aa-61dc-47e8-994c-afbb56411fd2","year":2019},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.683910Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:17ec6cf05844e12b6366bbd79f7b9259832dbfb6bbc08c085f34a6482dba93ba","observation_id":"a7ce5607-a3ec-4e78-ae7c-d6517f1eb1e7","resolution":{"observed_at":"2026-08-14T14:36:47.299709Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.278710Z","title":null,"venue":null,"work_id":"d2b6bd1c-8698-4fdf-a5d7-426dc807767d","year":2014},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.689307Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:2e16d5a730bc95467c6383bd07fb05f0a7332dba8efed4baa26c6e0a5abb3e38","observation_id":"ed368339-510d-4194-a373-936aaddd7bfb","resolution":{"observed_at":"2026-08-14T14:36:47.283800Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.259885Z","title":null,"venue":null,"work_id":"6a894407-71c1-4b89-be8d-4341c91a24ee","year":1975},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.694501Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:fe2c24c18e62c8e413718e1b3078bd578ea56a84b73c845e57ad2be577dc8df2","observation_id":"1373a4b7-74db-4ee1-912b-79c2691a8404","resolution":{"observed_at":"2026-08-14T14:36:47.265980Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.242243Z","title":null,"venue":null,"work_id":"efcaaa50-a3ce-4203-82b4-e20e49015399","year":1975},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.699165Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:735b6c68c7a0bba39f24f12e9e36c91aa78123db2352c34585c8c56d05522640","observation_id":"fe65eb8a-7446-4eb1-b2f9-e82eac58693a","resolution":{"observed_at":"2026-08-14T14:36:47.248672Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.226472Z","title":null,"venue":null,"work_id":"1468cbc6-6f49-4604-8807-cb078de6e27b","year":1967},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.703860Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:ec112244ad26bac03cb53108fd34193257ff519b291232f9a433be51b5e64eda","observation_id":"dff2bbff-9b90-489b-b4c0-9ed37757064b","resolution":{"observed_at":"2026-08-14T14:36:47.231497Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1702.05285","last_updated":"2017-02-17T10:06:40Z","snapshot_observed_at":"2026-08-14T21:16:02.473470Z","submitted_at":"2017-02-17T10:06:40Z","title":"Density results for continuous frames","version":1},"cited_work":{"arxiv_id":"1702.05285","doi":null,"metadata_source":"pith","pith_arxiv_id":"1702.05285","snapshot_observed_at":"2026-08-14T14:36:46.819945Z","title":"Density results for continuous frames","venue":"math.FA","work_id":"6083e245-5c89-457a-aff1-8ca03b9f5b50","year":2017},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.708744Z"},"links":{"cited_paper":"/paper/1702.05285","citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:e7ab4a65f735e3f67edf270dc87c9a7fec197270a7357675e42332dd5e4107ce","observation_id":"b74ac6e4-576f-4341-8943-f533fe7bb84c","resolution":{"observed_at":"2026-08-14T14:36:46.827897Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.208980Z","title":null,"venue":null,"work_id":"1ad6cef2-1bd8-4b09-9d99-710b663f36c7","year":1974},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.713990Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:c5678ce3d0277ee14cf4a2844f2e0e4c7ca6237fa2165918ae9b9efa812cc60a","observation_id":"9ad865e9-d63c-4875-9f60-1ab6a1098a48","resolution":{"observed_at":"2026-08-14T14:36:47.214105Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.192562Z","title":"Ortega-Cerdà and K","venue":null,"work_id":"5ed518c1-dd32-40bc-b7f3-afdca5696798","year":1998},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.718565Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:e8edf60fa63c8f5c5a830b725bc1916427f4748a9e78959399573909dd3cab3b","observation_id":"b70934bf-65c5-4f44-ae10-35dc36575e47","resolution":{"observed_at":"2026-08-14T14:36:47.197727Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.173755Z","title":null,"venue":null,"work_id":"a9dfd04c-762d-4dff-9853-fd3f812ca3e7","year":2018},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.723537Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:b3be84a2bf5ade03c6db4e30951f25ca8aecffc566c424cba0d85656c75b04f9","observation_id":"70fed6ed-7bde-49f5-a77e-bd7a4e4e0ff9","resolution":{"observed_at":"2026-08-14T14:36:47.180638Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.156483Z","title":null,"venue":null,"work_id":"4d45e6e6-10aa-4a9c-bc3e-4fe0224bccfe","year":2019},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.728855Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:f8652767bc6f512014a84004d784b7d49bbacba1f3cdc54309e3bbbd3e36a459","observation_id":"4892571c-f3c4-4366-9f56-e9653e11a524","resolution":{"observed_at":"2026-08-14T14:36:47.161665Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.139550Z","title":"Ramanathan and T","venue":null,"work_id":"f101f7cf-8651-4d76-a5e7-4870ebf3f1dc","year":1995},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.733643Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:d026e8fb173edf3897966546e08d36451ddcb5fcd801ebbb4637b0b99c200bfb","observation_id":"aa7e27c1-a1a8-4d83-b761-8d8b13b7fbf0","resolution":{"observed_at":"2026-08-14T14:36:47.145122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.120684Z","title":null,"venue":null,"work_id":"aa6f3af2-2e42-4a8c-ae3c-4e362925c4cf","year":2011},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.739331Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:d79cbdb10968c4d660eebd0ae9085911bf7b0463fa2f1735341c2446d5945900","observation_id":"3128f612-00ee-4c51-acae-5eadcafa07f6","resolution":{"observed_at":"2026-08-14T14:36:47.126133Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:47.098011Z","title":null,"venue":null,"work_id":"6395582c-9dc7-4726-bffd-670606e8bf08","year":2012},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.744431Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:732b87ac22e0ef71e1ce4f8e1f8b6a5009fb761d6485755d746e1b7d9cb1c8bf","observation_id":"65eb443f-0c96-485a-b7d3-6f2a2568d0cb","resolution":{"observed_at":"2026-08-14T14:36:47.104066Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:46.952071Z","title":null,"venue":null,"work_id":"64445c54-74d5-4fda-bd18-3a21711e626a","year":1991},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.749038Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:46391cb134e20b184a4c95366996cc28d027cc8e1180d5c9279f66059d82c115","observation_id":"4ac95086-3146-44e0-be18-28818df39f7f","resolution":{"observed_at":"2026-08-14T14:36:47.082026Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:46.935694Z","title":null,"venue":null,"work_id":"5a34f748-3a53-4885-862f-259b411d56b5","year":2009},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.753779Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:978bdcf264c73c11a20410ac30c6dcb4901296c16c8189b7b3e939d270c278e9","observation_id":"e325a952-761f-4957-9af3-0a4cbed61682","resolution":{"observed_at":"2026-08-14T14:36:46.940932Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:46.916135Z","title":null,"venue":null,"work_id":"45819772-dc68-4b17-b13a-1f80ae41498d","year":2019},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.758688Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:de0dd6a8d098fc90cd503c9b33fa1fd29e96fca70337c45cc1ff1b399b04c929","observation_id":"fe906c6c-0198-4bec-8518-1e8e4b040c36","resolution":{"observed_at":"2026-08-14T14:36:46.921814Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:46.898735Z","title":"Sjöstrand","venue":null,"work_id":"1a8b1e53-ed7e-48a7-a353-a34b1369facf","year":1994},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.763789Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:13778c1663bf539ccafb700d5153f4d67e271bb8ada69415da875178fcd68180","observation_id":"4f985451-9e01-4d4e-8557-8a44e6276544","resolution":{"observed_at":"2026-08-14T14:36:46.903579Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:46.881611Z","title":null,"venue":null,"work_id":"85ff0d65-7b67-4ea9-9b0a-c0f6a9d32630","year":2007},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.768691Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:2c33d0375f5d263c5b47b9966d33c18f92668b20725faeee5db294c052ab3935","observation_id":"c42e5795-6c7f-4482-8366-cd23c59ab1fd","resolution":{"observed_at":"2026-08-14T14:36:46.886902Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:46.858361Z","title":null,"venue":null,"work_id":"72a0c7cb-7677-4866-8c4e-be89dd049c7f","year":2010},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.773776Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:68ab8fbcc5c6fe0117308b89b1fd0a4b9c1cfbc2b59b7a7354e24b788dd3d3a3","observation_id":"c44a92dd-6eea-490f-9a23-62a4c9cd157d","resolution":{"observed_at":"2026-08-14T14:36:46.864603Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T14:36:46.840449Z","title":null,"venue":null,"work_id":"b17572de-0c8b-431e-a897-15ae60d4feaf","year":2007},"citing_paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T14:36:46.778474Z"},"links":{"citing_paper":"/paper/1908.03053"},"observation_digest":"sha256:613ea6cf6d5417083540775538be56a0183a4c7ae96f137ab6be3c0b4e87a631","observation_id":"5804e2c5-368a-4d30-bde8-61579f89036d","resolution":{"observed_at":"2026-08-14T14:36:46.846192Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.03053","last_updated":"2020-03-16T15:08:44Z","latest_version":2,"primary_category":"math.FA","snapshot_observed_at":"2026-08-16T10:27:25.417412Z","submitted_at":"2019-08-08T13:16:45Z","title":"Balian-Low type theorems on homogeneous groups"},"reference_resolution":{"displayed":47,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":27,"verified_exact":1,"verified_fuzzy":19},"total_outbound_references":47},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:1908.03053."}