{"as_of":"2026-08-12T04:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cb09e48c456f6bd40baf8b4db281d5f3529a4603d3397f60318455ed19924a9b","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":"2026-08-11T06:34:44.6726+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":"2026-08-06T22:48:06.558367Z","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":"2026-06-30T16:54:58.619377Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.08502","last_updated":"2025-08-07T11:56:30Z","snapshot_observed_at":"2026-08-07T16:06:31.624749Z","submitted_at":"2025-04-11T13:08:35Z","title":"Powerfree integers and Fourier bounds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.08502","snapshot_observed_at":"2026-08-06T22:48:06.558367Z","title":"Carillo Santana , Powerfree integers and Fourier bounds , arXiv:2504.08502, (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.21642","last_updated":"2025-07-10T16:00:37Z","snapshot_observed_at":"2026-08-10T07:40:07.945734Z","submitted_at":"2025-06-25T20:56:01Z","title":"Prime numbers with an almost prime reverse","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T22:48:06.558367Z"},"links":{"cited_paper":"/paper/2504.08502","citing_paper":"/paper/2506.21642"},"observation_digest":"sha256:9715d00c276e25ef2b57a67678dcb1ae523a5e711ec10f8f632d48fc5c00ec52","observation_id":"092020fd-4fd5-4adf-a058-257bf4248cc0","resolution":{"observed_at":"2026-08-06T22:48:06.558367Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.08502","last_updated":"2025-08-07T11:56:30Z","snapshot_observed_at":"2026-08-07T16:06:31.624749Z","submitted_at":"2025-04-11T13:08:35Z","title":"Powerfree integers and Fourier bounds","version":2},"cited_work":{"arxiv_id":"2504.08502","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.08502","snapshot_observed_at":"2026-06-30T16:54:58.619377Z","title":"Power-free integers and Fourier bounds","venue":null,"work_id":"2eb556c7-89e0-42d4-b504-b7c8141f53d7","year":2025},"citing_paper":{"arxiv_id":"2605.21876","last_updated":"2026-06-27T07:04:08Z","snapshot_observed_at":"2026-08-06T22:41:03.041861Z","submitted_at":"2026-05-21T01:38:50Z","title":"The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-22T06:18:13.298117Z"},"links":{"cited_paper":"/paper/2504.08502","citing_paper":"/paper/2605.21876"},"observation_digest":"sha256:ada6b7b81f699cee44fe1b8bc2e4fb6485ea874176c6dda644bcc25c7c9505bc","observation_id":"9a36c948-b2a1-4c12-844f-817334151d84","resolution":{"observed_at":"2026-05-22T06:21:10.654701Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.08502","last_updated":"2025-08-07T11:56:30Z","snapshot_observed_at":"2026-08-07T16:06:31.624749Z","submitted_at":"2025-04-11T13:08:35Z","title":"Powerfree integers and Fourier bounds","version":2},"cited_work":{"arxiv_id":"2504.08502","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.08502","snapshot_observed_at":"2026-06-30T16:54:58.619377Z","title":"Power-free integers and Fourier bounds","venue":null,"work_id":"2eb556c7-89e0-42d4-b504-b7c8141f53d7","year":2025},"citing_paper":{"arxiv_id":"2605.21876","last_updated":"2026-06-27T07:04:08Z","snapshot_observed_at":"2026-08-06T22:41:03.041861Z","submitted_at":"2026-05-21T01:38:50Z","title":"The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-30T16:51:01.422868Z"},"links":{"cited_paper":"/paper/2504.08502","citing_paper":"/paper/2605.21876"},"observation_digest":"sha256:0343f8310e21bbb805e7366cfba979c4265a539485d50aec83149a157a45c08f","observation_id":"75d0d12b-1b41-4267-89a7-6eac813f4755","resolution":{"observed_at":"2026-06-30T16:54:58.622003Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2504.08502/citation-record","integrity":"/paper/2504.08502/integrity","json":"/paper/2504.08502/citation-record.json","paper":"/paper/2504.08502"},"outbound":[],"paper":{"arxiv_id":"2504.08502","last_updated":"2025-08-07T11:56:30Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-07T16:06:31.624749Z","submitted_at":"2025-04-11T13:08:35Z","title":"Powerfree integers and Fourier bounds"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2504.08502."}