{"as_of":"2026-08-20T18:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eeb3cc9ed35196d1373487f3bb9559ed2074afe89a89c15623392064859339f9","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":"2026-08-20T06:33:59.587034+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":"2026-08-10T15:49:01.699945Z","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":"2026-07-03T03:47:35.849975Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.04608","last_updated":"2024-09-06T20:43:40Z","snapshot_observed_at":"2026-08-16T13:20:38.381038Z","submitted_at":"2024-09-06T20:43:40Z","title":"Dynamical self-similarity, $L^{q}$-dimensions and Furstenberg slicing in $\\mathbb{R}^d$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.04608","snapshot_observed_at":"2026-08-10T15:49:01.699945Z","title":"Corso, P","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.13729","last_updated":"2025-01-23T15:01:37Z","snapshot_observed_at":"2026-08-10T15:37:19.488612Z","submitted_at":"2025-01-23T15:01:37Z","title":"On the $L^q$ dimension of stationary measures for M\\\"{o}bius iterated function systems","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-10T15:49:01.699945Z"},"links":{"cited_paper":"/paper/2409.04608","citing_paper":"/paper/2501.13729"},"observation_digest":"sha256:de0f62adb98c06a18f71c57c576be80c882106ba66e83560b4bd921398d3510c","observation_id":"1a1568e5-cf7f-4691-b10c-7e0396a37cde","resolution":{"observed_at":"2026-08-10T15:49:01.699945Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.04608","last_updated":"2024-09-06T20:43:40Z","snapshot_observed_at":"2026-08-16T13:20:38.381038Z","submitted_at":"2024-09-06T20:43:40Z","title":"Dynamical self-similarity, $L^{q}$-dimensions and Furstenberg slicing in $\\mathbb{R}^d$","version":1},"cited_work":{"arxiv_id":"2409.04608","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.04608","snapshot_observed_at":"2026-07-03T03:47:35.849975Z","title":"Corso and P","venue":null,"work_id":"699bea2c-c0b2-4179-b0c4-3cc18b7c7ff4","year":2024},"citing_paper":{"arxiv_id":"2606.09743","last_updated":"2026-06-08T17:05:29Z","snapshot_observed_at":"2026-08-17T17:17:51.729158Z","submitted_at":"2026-06-08T17:05:29Z","title":"Fourier transform of nonlinear images of self-similar measures: qualitative aspects","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-27T14:36:54.793726Z"},"links":{"cited_paper":"/paper/2409.04608","citing_paper":"/paper/2606.09743"},"observation_digest":"sha256:8b997c5935157612738e01feac95534b0986acc16950dba1b3651fb9929d1ce4","observation_id":"8ef8302b-3f19-4f30-9ffa-ec2389ac9009","resolution":{"observed_at":"2026-07-03T03:47:35.851372Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.04608","last_updated":"2024-09-06T20:43:40Z","snapshot_observed_at":"2026-08-16T13:20:38.381038Z","submitted_at":"2024-09-06T20:43:40Z","title":"Dynamical self-similarity, $L^{q}$-dimensions and Furstenberg slicing in $\\mathbb{R}^d$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.04608","snapshot_observed_at":"2026-08-01T22:59:47.209504Z","title":"Dynamical self-similarity,L q -dimensions and Furstenberg slicing inR d.arXiv preprint arXiv:2409.04608, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15635","last_updated":"2026-07-17T05:24:24Z","snapshot_observed_at":"2026-08-11T15:01:57.734939Z","submitted_at":"2026-07-17T05:24:24Z","title":"Smooth projections of self-similar measures","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T22:59:47.209504Z"},"links":{"cited_paper":"/paper/2409.04608","citing_paper":"/paper/2607.15635"},"observation_digest":"sha256:e37fb3136de92c1400f36187ad3cb643d458ead19a1d13e7a296742048c53a14","observation_id":"e5983a5e-3855-4903-981b-2be30237185d","resolution":{"observed_at":"2026-08-01T22:59:47.209504Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2409.04608/citation-record","integrity":"/paper/2409.04608/integrity","json":"/paper/2409.04608/citation-record.json","paper":"/paper/2409.04608"},"outbound":[],"paper":{"arxiv_id":"2409.04608","last_updated":"2024-09-06T20:43:40Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-16T13:20:38.381038Z","submitted_at":"2024-09-06T20:43:40Z","title":"Dynamical self-similarity, $L^{q}$-dimensions and Furstenberg slicing in $\\mathbb{R}^d$"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2409.04608."}