{"as_of":"2026-08-08T01:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:631cc505c28fc8fcd1cec8e29835e53a0f73eba2b65423e6d36bd4754a63d82d","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:55:21.841963Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2505.21310/citation-record","integrity":"/paper/2505.21310/integrity","json":"/paper/2505.21310/citation-record.json","paper":"/paper/2505.21310"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:25.451986Z","title":"Agora, J","venue":null,"work_id":"941501c4-8e9d-400c-b9f2-5b73929f6c2e","year":2015},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.600753Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:b07f6e218ea3d1a9ce1ca2048f5ff892d7fd42ff74ddb5cde6042fe9a17a3662","observation_id":"843586b3-bc64-4e30-bf81-ae8cb1998901","resolution":{"observed_at":"2026-08-07T13:55:25.520724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:25.308455Z","title":"Bezuglaya and V","venue":null,"work_id":"32378c45-274a-47f7-80a1-524d6cc48637","year":1993},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.672096Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:080c4c24bb995360dbcb4f8adceefc0396a1d9e348d873fae6180a8731e6b5fc","observation_id":"84d4e79b-6594-46f8-b851-b38ea4a2ddcc","resolution":{"observed_at":"2026-08-07T13:55:25.377097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:25.189842Z","title":null,"venue":null,"work_id":"b444cdaf-b110-4c9c-b821-7d9d39b5ef13","year":1967},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.737015Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:4f7b83be8a33f937fdd0f56f63bad687b8e39fb598d6531b99c59e1be2f8549e","observation_id":"60eae50b-a3ea-4b03-8045-65801fa7cbe9","resolution":{"observed_at":"2026-08-07T13:55:25.247136Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:25.025064Z","title":"Christensen, An introduction to frames and Riesz bases , Applied and Numerical Harmonic Analysis, Birkh¨ auser/Springer, [Cham], second ed., 2016","venue":null,"work_id":"0dd5ec30-b0a8-4125-956b-ff5aec52d73f","year":2016},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.788941Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:5ab6ec3565c18325e1e6da181df0530c4911ccafda6f60673093fcc4ad382e29","observation_id":"9926b734-acc8-4acf-827f-9c8694c450cf","resolution":{"observed_at":"2026-08-07T13:55:25.133189Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:24.884698Z","title":"Debernardi and N","venue":null,"work_id":"db67b525-b671-4bf6-91dd-c664af1b4889","year":2022},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.837468Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:a2c0b38eccb77c524b17c32586dbbae756b72b8d37e37465c973fc662488623a","observation_id":"3322dc44-ea9d-4eaa-89ed-43ca27080780","resolution":{"observed_at":"2026-08-07T13:55:24.915032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:24.724084Z","title":null,"venue":null,"work_id":"e39ab649-d40f-45b5-bf45-9200ff170aeb","year":2016},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.898205Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:910dd422ec3cc2fe428e3414fbe87d1d0046e273c4b0cd322e4ddfa4dd8a7c1c","observation_id":"c8298353-118a-4eb9-a70f-6e61a02370e9","resolution":{"observed_at":"2026-08-07T13:55:24.793559Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:24.559453Z","title":null,"venue":null,"work_id":"c2b4aabc-379b-4d5a-8c72-899f5acf1117","year":2019},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.947493Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:afc67a355cc51728cd093e003d3ed9695fce6f7bff76f39e933917f8fac82eba","observation_id":"9e688d86-e0ed-4f4d-8274-b3fabd55337e","resolution":{"observed_at":"2026-08-07T13:55:24.627723Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03834","last_updated":"2025-01-14T13:18:41Z","snapshot_observed_at":"2026-07-06T20:01:54.557848Z","submitted_at":"2024-12-05T02:56:05Z","title":"Tiling the field $\\mathbb{Q}_p$ of $p$-adic numbers by a function","version":2},"cited_work":{"arxiv_id":"2412.03834","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.03834","snapshot_observed_at":"2026-08-07T13:55:21.993799Z","title":"Tiling the field $\\mathbb{Q}_p$ of $p$-adic numbers by a function","venue":"math.CA","work_id":"5aa8945d-4d77-4375-a723-d319ab9d71ee","year":2024},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.039870Z"},"links":{"cited_paper":"/paper/2412.03834","citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:42af6a4c836db35e99ab24a8d56632e808de3d871bd1b98f5ffd4aa57afb3a87","observation_id":"32c87e92-47bc-43f3-89fa-ecf8d8c00a84","resolution":{"observed_at":"2026-08-07T13:55:22.104179Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:24.409437Z","title":"Fuglede, Commuting self-adjoint partial differential operators and a group theoretic problem, J","venue":null,"work_id":"e66eecd4-b3f3-4417-88e6-f7c5ee9d5165","year":1974},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.096523Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:d9cd596402472320ef7328704d43eb9b238265a1d1ba68a977b8396b3b36e1ab","observation_id":"834f5cbe-a4fb-454f-bfdf-c8c13b527e20","resolution":{"observed_at":"2026-08-07T13:55:24.484668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:24.288387Z","title":"Gao, Invariant descriptive set theory , vol","venue":null,"work_id":"976d9a6f-ff3f-48cd-aff9-e236dac2705a","year":2009},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.144170Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:432a3b35b90324e700e9a1103bf944205ed91ef6c94fbdc286ca361ef4d5bf3d","observation_id":"dfb6ce02-95fa-4161-ba57-d00ea1dba217","resolution":{"observed_at":"2026-08-07T13:55:24.337481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:24.202103Z","title":"Grepstad and N","venue":null,"work_id":"08a1f2da-61ea-4cd9-8844-0dc11d7e42a7","year":2014},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.188941Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:229023a235370e5242a2b5ed59f9a6e1e5c83761c4a9d1c92e222af467e5b17c","observation_id":"2380c905-b1b8-4c80-8496-cdd0f99b1209","resolution":{"observed_at":"2026-08-07T13:55:24.238262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:24.067864Z","title":"Hewitt and K","venue":null,"work_id":"0c473166-3f8a-47a9-ad12-15838912304c","year":1970},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.240233Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:b5c007eb8bdee9a1fab35c1c4709a18f7f8d899a1bcf443da228fb2855a6d805","observation_id":"b1a6b903-18a5-4d90-94a1-d32ea45988fb","resolution":{"observed_at":"2026-08-07T13:55:24.141159Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:23.920479Z","title":"Kohlenberg, Exact interpolation of band-limited functions , J","venue":null,"work_id":"cc23dad4-11aa-4fc6-8a4a-77331610d006","year":1953},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.301691Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:bb384a0ac1783384816546c67067ff4912d9b3fb6840bd7eafdc004bdf3c803a","observation_id":"a6be0800-2bd2-439d-8328-096abc578621","resolution":{"observed_at":"2026-08-07T13:55:23.980325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:23.710032Z","title":null,"venue":null,"work_id":"18a09bfc-1430-42da-8d69-f67a61a38e45","year":2015},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.341410Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:553eac17f15deb441c456226fdbbb2e0d1d556484132e67b7ee4ab42f56cbf74","observation_id":"5c8bb73f-6771-424a-a948-14168da88444","resolution":{"observed_at":"2026-08-07T13:55:23.812221Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:23.511708Z","title":"Kozma and S","venue":null,"work_id":"3d3f134a-ac67-4863-8782-41301e1a3118","year":2015},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.388560Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:65343163f4e5a7e0018f8ab1f7eaf48f1014e21f8174171147b897a1154940c6","observation_id":"0014a00c-2c45-46ad-9345-c76f28bc6142","resolution":{"observed_at":"2026-08-07T13:55:23.590938Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:23.264139Z","title":null,"venue":null,"work_id":"cf898036-8317-4958-8254-54d40dd5604a","year":2016},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.461062Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:a04b3a2e4690076104f741ef463add004036234572ee5a99a545131e9beae133","observation_id":"49620c58-9c75-4fc1-b515-5a0a5e850001","resolution":{"observed_at":"2026-08-07T13:55:23.432651Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:22.972405Z","title":"Kozma, S","venue":null,"work_id":"3970f786-900e-4fff-be13-98362099f9e7","year":2023},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.525379Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:c6e9cb2454d227142b54848c0af91bbb861ac0af44d2cd14d25d4816ebc66e08","observation_id":"d52fc1a8-2d93-400c-9c47-a0f9c987a52e","resolution":{"observed_at":"2026-08-07T13:55:23.078157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:22.703951Z","title":"Lev and M","venue":null,"work_id":"2c71e73f-58b0-4845-a45f-14f9608385d8","year":2022},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.610178Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:e0c080649cc5714e666d78b02ea7689769a13dd660efb7b8f7f0fe9c4c49dea0","observation_id":"863dbbab-277f-45f8-890d-6b3a0e74ac48","resolution":{"observed_at":"2026-08-07T13:55:22.806730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:22.513670Z","title":"Seip, A simple construction of exponential bases in L2 of the union of several intervals , Proc","venue":null,"work_id":"c79075ba-8153-4d9d-b285-d8989bfad658","year":1995},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.729261Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:3f22a24bf068bba3d58cca206704b76d2d1dccd6aac27054ea85aa50bf7ccb26","observation_id":"e834b1a9-c48b-4cf3-a57c-460e5c8244b3","resolution":{"observed_at":"2026-08-07T13:55:22.607469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T13:55:22.254751Z","title":null,"venue":null,"work_id":"262c848d-9f48-44f9-a08c-0d5cb270395d","year":1994},"citing_paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.841963Z"},"links":{"citing_paper":"/paper/2505.21310"},"observation_digest":"sha256:ee69d1781685ee4dd065b19670f46304a052ccf428940d9061c6b54061f77897","observation_id":"6082b1c3-90d7-42a0-9980-03a073d90f34","resolution":{"observed_at":"2026-08-07T13:55:22.380204Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.21310","last_updated":"2025-05-29T14:25:08Z","latest_version":2,"primary_category":"math.CA","snapshot_observed_at":"2026-08-07T13:28:03.249345Z","submitted_at":"2025-05-27T15:08:55Z","title":"Exponential Riesz bases in non-Archimedean locally compact Abelian groups"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":1,"verified_fuzzy":13},"total_outbound_references":20},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2505.21310."}