{"as_of":"2026-08-23T17:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9021f2769453ac7469ee1867663e22ec59f642239ff6587d2ddd49d7e478c8bd","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":"2026-08-23T06:30:58.430688+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":"2026-08-05T05:27:25.228988Z","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":"2026-06-30T08:54:29.662660Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2301.05561","last_updated":"2024-03-27T12:46:01Z","snapshot_observed_at":"2026-08-21T12:46:36.667130Z","submitted_at":"2023-01-13T14:09:08Z","title":"Lacunary sequences in analysis, probability and number theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.05561","snapshot_observed_at":"2026-08-05T05:27:25.228988Z","title":"arXiv preprint arXiv:2301.05561","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09706","last_updated":"2025-09-05T21:43:06Z","snapshot_observed_at":"2026-08-21T12:46:43.444552Z","submitted_at":"2025-09-05T21:43:06Z","title":"Differential Robustness in Transformer Language Models: Empirical Evaluation Under Adversarial Text Attacks","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T05:27:25.228988Z"},"links":{"cited_paper":"/paper/2301.05561","citing_paper":"/paper/2509.09706"},"observation_digest":"sha256:8d9de6edf2fa8109bd3ffb4c1fe1699b1c7f7eb5b0af2e1f4fb1b37160e8bd6b","observation_id":"74b81bd1-0c3e-40e5-a535-9c3bf76eadbb","resolution":{"observed_at":"2026-08-05T05:27:25.228988Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.05561","last_updated":"2024-03-27T12:46:01Z","snapshot_observed_at":"2026-08-21T12:46:36.667130Z","submitted_at":"2023-01-13T14:09:08Z","title":"Lacunary sequences in analysis, probability and number theory","version":3},"cited_work":{"arxiv_id":"2301.05561","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2301.05561","snapshot_observed_at":"2026-06-30T08:54:29.662660Z","title":"62, Société Mathématique de France, Paris, 2024, pp","venue":null,"work_id":"f806f11e-e99b-42ac-8fc8-158eb152c1dc","year":2024},"citing_paper":{"arxiv_id":"2604.18535","last_updated":"2026-04-21T17:55:07Z","snapshot_observed_at":"2026-07-06T23:05:21.974248Z","submitted_at":"2026-04-20T17:29:29Z","title":"Counterexamples for lacunary dilates via dyadic spike blocks","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T03:28:53.393351Z"},"links":{"cited_paper":"/paper/2301.05561","citing_paper":"/paper/2604.18535"},"observation_digest":"sha256:7a5c9f1ed61af72822c2e0eba444ed6a620e32d035b52cbe6e0162a4225ba920","observation_id":"da0b7aaf-e3e7-495e-87ff-167f6c69a0a5","resolution":{"observed_at":"2026-05-10T03:29:21.592044Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2301.05561","last_updated":"2024-03-27T12:46:01Z","snapshot_observed_at":"2026-08-21T12:46:36.667130Z","submitted_at":"2023-01-13T14:09:08Z","title":"Lacunary sequences in analysis, probability and number theory","version":3},"cited_work":{"arxiv_id":"2301.05561","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2301.05561","snapshot_observed_at":"2026-06-30T08:54:29.662660Z","title":"62, Société Mathématique de France, Paris, 2024, pp","venue":null,"work_id":"f806f11e-e99b-42ac-8fc8-158eb152c1dc","year":2024},"citing_paper":{"arxiv_id":"2606.28860","last_updated":"2026-06-27T10:54:00Z","snapshot_observed_at":"2026-08-18T01:15:25.385602Z","submitted_at":"2026-06-27T10:54:00Z","title":"Maximal Gaps for Dilated Lacunary Integer Sequences","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-30T08:52:30.876117Z"},"links":{"cited_paper":"/paper/2301.05561","citing_paper":"/paper/2606.28860"},"observation_digest":"sha256:675f779ed58128634c5ad18716254c0c913154e7fa189d9c7fe46c0f18b3cc40","observation_id":"940c9495-24a0-4905-9164-61ff7cff15d8","resolution":{"observed_at":"2026-06-30T08:54:29.665291Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2301.05561/citation-record","integrity":"/paper/2301.05561/integrity","json":"/paper/2301.05561/citation-record.json","paper":"/paper/2301.05561"},"outbound":[],"paper":{"arxiv_id":"2301.05561","last_updated":"2024-03-27T12:46:01Z","latest_version":3,"primary_category":"math.NT","snapshot_observed_at":"2026-08-21T12:46:36.667130Z","submitted_at":"2023-01-13T14:09:08Z","title":"Lacunary sequences in analysis, probability and number theory"},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2301.05561."}