{"as_of":"2026-08-14T13:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7b38a08cd5f457a22dfc1b601a31e67afd1bfea8305095b2a0985d3861d590e0","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T14:51:09.887311Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-06-29T00:52:55.859390Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2006.10821","last_updated":"2026-07-12T16:57:38Z","snapshot_observed_at":"2026-08-08T02:34:44.711824Z","submitted_at":"2020-06-18T19:32:35Z","title":"Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.10821","snapshot_observed_at":"2026-08-12T14:51:09.887311Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2411.14987","last_updated":"2024-11-22T14:49:24Z","snapshot_observed_at":"2026-08-13T20:09:23.757790Z","submitted_at":"2024-11-22T14:49:24Z","title":"Twice Fourier transformable measures and diffraction theory","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-12T14:51:09.887311Z"},"links":{"cited_paper":"/paper/2006.10821","citing_paper":"/paper/2411.14987"},"observation_digest":"sha256:ff850f87e0ac5edf8b1f4aecc62479855d148e6eeec5d2802fbce8a4059ae598","observation_id":"aa52f920-e1fd-41c4-ab14-44bb1a5ecaa4","resolution":{"observed_at":"2026-08-12T14:51:09.887311Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.10821","last_updated":"2026-07-12T16:57:38Z","snapshot_observed_at":"2026-08-08T02:34:44.711824Z","submitted_at":"2020-06-18T19:32:35Z","title":"Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity","version":2},"cited_work":{"arxiv_id":"2006.10821","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2006.10821","snapshot_observed_at":"2026-07-14T01:20:39.554641Z","title":null,"venue":null,"work_id":"b55349b2-edc2-4c10-965c-cd37dc6eeafe","year":2020},"citing_paper":{"arxiv_id":"2605.23884","last_updated":"2026-05-22T17:45:41Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-05-22T17:45:41Z","title":"On almost periodicity in crystalline measures","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-25T02:32:28.149746Z"},"links":{"cited_paper":"/paper/2006.10821","citing_paper":"/paper/2605.23884"},"observation_digest":"sha256:503834d85f13837421c474e3e93ef1ef9493efa163d37f75a83a24f1243c8bf6","observation_id":"a2fa2850-dec3-42a8-97ab-10cf6078b043","resolution":{"observed_at":"2026-07-14T01:20:39.554641Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.10821","last_updated":"2026-07-12T16:57:38Z","snapshot_observed_at":"2026-08-08T02:34:44.711824Z","submitted_at":"2020-06-18T19:32:35Z","title":"Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity","version":2},"cited_work":{"arxiv_id":"2006.10821","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2006.10821","snapshot_observed_at":"2026-07-14T01:20:39.554641Z","title":null,"venue":null,"work_id":"b55349b2-edc2-4c10-965c-cd37dc6eeafe","year":2020},"citing_paper":{"arxiv_id":"2606.27553","last_updated":"2026-06-25T21:05:56Z","snapshot_observed_at":"2026-08-10T18:14:43.025711Z","submitted_at":"2026-06-25T21:05:56Z","title":"Continuous diffraction spectrum and the uniform vanishing of Fourier--Bohr coefficients","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-29T00:44:29.210957Z"},"links":{"cited_paper":"/paper/2006.10821","citing_paper":"/paper/2606.27553"},"observation_digest":"sha256:a40e5ede049e69f0bdbc8dcf631f8ffcdd9fdd46405382bfbc1fb656b1c14074","observation_id":"f6d72dfa-db64-435a-957b-9bcf49f3805e","resolution":{"observed_at":"2026-07-14T01:20:39.554641Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2006.10821/citation-record","integrity":"/paper/2006.10821/integrity","json":"/paper/2006.10821/citation-record.json","paper":"/paper/2006.10821"},"outbound":[],"paper":{"arxiv_id":"2006.10821","last_updated":"2026-07-12T16:57:38Z","latest_version":2,"primary_category":"math.CA","snapshot_observed_at":"2026-08-08T02:34:44.711824Z","submitted_at":"2020-06-18T19:32:35Z","title":"Pure Point Diffraction and Mean, Besicovitch and Weyl Almost Periodicity"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2006.10821."}