{"as_of":"2026-08-13T14:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2336c45eb276edaf3f0e549e2dfa49bed8bf703ec5656a3d01805282356d3022","coverage":[{"denominator":4,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T16:34:43.684964Z","state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.13519/citation-record","integrity":"/paper/2411.13519/integrity","json":"/paper/2411.13519/citation-record.json","paper":"/paper/2411.13519"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:34:43.737395Z","title":null,"venue":null,"work_id":"425152ec-a3ca-4b00-9766-5f9098717c7b","year":2002},"citing_paper":{"arxiv_id":"2411.13519","last_updated":"2025-08-22T10:56:15Z","snapshot_observed_at":"2026-08-13T04:12:01.075563Z","submitted_at":"2024-11-20T18:10:54Z","title":"An uncountable subring of $\\mathbb R$ with Hausdorff dimension zero","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:43.674340Z"},"links":{"citing_paper":"/paper/2411.13519"},"observation_digest":"sha256:710ba7035ff0b74e74894337e627df791af572c850f012a2fe2351859e691c8f","observation_id":"8d916c77-9c41-418e-b6e5-d389943cbd6d","resolution":{"observed_at":"2026-08-12T16:34:43.741111Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:34:43.727762Z","title":"Erd˝ os and B","venue":null,"work_id":"e73d1e38-cc1b-4218-a39f-dac30192a294","year":1966},"citing_paper":{"arxiv_id":"2411.13519","last_updated":"2025-08-22T10:56:15Z","snapshot_observed_at":"2026-08-13T04:12:01.075563Z","submitted_at":"2024-11-20T18:10:54Z","title":"An uncountable subring of $\\mathbb R$ with Hausdorff dimension zero","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:43.678330Z"},"links":{"citing_paper":"/paper/2411.13519"},"observation_digest":"sha256:ee0eb13c4dea0d024596969b1e795e204d28284a2743a8615b6bd86fef7d811d","observation_id":"f47efa7c-5880-4c75-b5da-929bff86b2c1","resolution":{"observed_at":"2026-08-12T16:34:43.731277Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:34:43.717941Z","title":"Falconer, On the Hausdorff dimensions of distance sets, Mathematika 32 (1985), 206–212","venue":null,"work_id":"79ed5172-4d3a-46b2-981a-01f6366103e7","year":1985},"citing_paper":{"arxiv_id":"2411.13519","last_updated":"2025-08-22T10:56:15Z","snapshot_observed_at":"2026-08-13T04:12:01.075563Z","submitted_at":"2024-11-20T18:10:54Z","title":"An uncountable subring of $\\mathbb R$ with Hausdorff dimension zero","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:43.681641Z"},"links":{"citing_paper":"/paper/2411.13519"},"observation_digest":"sha256:efb5b0a468f32b77dfc79b1813b8d83258e8ec9d42ba90dbfbc9f8e06dba2a10","observation_id":"c1bd8fef-69a0-4fda-91f8-8de55cf6b496","resolution":{"observed_at":"2026-08-12T16:34:43.721445Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:34:43.705767Z","title":"Falconer, Fractal geometry, Mathematical foundations and applications(Second Edition), John Wiley & Sons Inc., Hoboken, NJ, 2003","venue":null,"work_id":"5e1426d7-b7d5-4b74-87eb-ea9cccbbfb4b","year":2003},"citing_paper":{"arxiv_id":"2411.13519","last_updated":"2025-08-22T10:56:15Z","snapshot_observed_at":"2026-08-13T04:12:01.075563Z","submitted_at":"2024-11-20T18:10:54Z","title":"An uncountable subring of $\\mathbb R$ with Hausdorff dimension zero","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T16:34:43.684964Z"},"links":{"citing_paper":"/paper/2411.13519"},"observation_digest":"sha256:ce8b6544eb917d777f695e386044ac8c7e43671b87f94690c6eb406d44d7ae71","observation_id":"c68c9ff3-a2c4-43af-8cc0-4eb0dccfc711","resolution":{"observed_at":"2026-08-12T16:34:43.710430Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.13519","last_updated":"2025-08-22T10:56:15Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-13T04:12:01.075563Z","submitted_at":"2024-11-20T18:10:54Z","title":"An uncountable subring of $\\mathbb R$ with Hausdorff dimension zero"},"reference_resolution":{"displayed":4,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":3},"total_outbound_references":4},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2411.13519."}