{"as_of":"2026-08-14T12:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9d11dc41cdc0005c5f02f214ffb946688072d9b256a4ecb73bfac83f19b05ac1","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T20:43:10.398384Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T20:23:40.259011Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.10012","last_updated":"2024-01-18T14:29:23Z","snapshot_observed_at":"2026-08-14T11:48:19.926274Z","submitted_at":"2024-01-18T14:29:23Z","title":"Local entropy theory and applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.10012","snapshot_observed_at":"2026-08-10T20:43:10.398384Z","title":"Garc ´ ıa-Ramos and H","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.08069","last_updated":"2025-04-02T09:22:08Z","snapshot_observed_at":"2026-08-14T10:08:22.365439Z","submitted_at":"2025-01-14T12:34:29Z","title":"Independence, sequence entropy and mean sensitivity for invariant measures","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T20:43:10.398384Z"},"links":{"cited_paper":"/paper/2401.10012","citing_paper":"/paper/2501.08069"},"observation_digest":"sha256:808ed147ace87cc110aaf359b64402948d19c070e7f1c3d008ec0c230a893288","observation_id":"a99c1b3b-a7e1-4539-b967-d567c15e861e","resolution":{"observed_at":"2026-08-10T20:43:10.398384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.10012","last_updated":"2024-01-18T14:29:23Z","snapshot_observed_at":"2026-08-14T11:48:19.926274Z","submitted_at":"2024-01-18T14:29:23Z","title":"Local entropy theory and applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.10012","snapshot_observed_at":"2026-08-10T16:45:40.974423Z","title":"Local entropy theo ry and ap- plications","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.12952","last_updated":"2025-01-22T15:24:33Z","snapshot_observed_at":"2026-08-14T09:57:14.378975Z","submitted_at":"2025-01-22T15:24:33Z","title":"Dynamical pair assignments","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T16:45:40.974423Z"},"links":{"cited_paper":"/paper/2401.10012","citing_paper":"/paper/2501.12952"},"observation_digest":"sha256:5b43b6b84d9bbbec01d22dc65699a7e10d01fcc9912c9b8b1221acf636dea5e4","observation_id":"dc65806f-0589-4b07-a8f4-a2b7f9d4a2b8","resolution":{"observed_at":"2026-08-10T16:45:40.974423Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.10012","last_updated":"2024-01-18T14:29:23Z","snapshot_observed_at":"2026-08-14T11:48:19.926274Z","submitted_at":"2024-01-18T14:29:23Z","title":"Local entropy theory and applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.10012","snapshot_observed_at":"2026-08-10T14:22:02.732161Z","title":"Garc ´ ıa-Ramos and H","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.15622","last_updated":"2025-04-15T20:31:55Z","snapshot_observed_at":"2026-08-14T07:02:19.001853Z","submitted_at":"2025-01-26T18:06:54Z","title":"Independence and mean sensitivity in minimal systems under group actions","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T14:22:02.732161Z"},"links":{"cited_paper":"/paper/2401.10012","citing_paper":"/paper/2501.15622"},"observation_digest":"sha256:4d7ceb893199d1662decac5a00337ea130a886e922d86988273f713daac988ef","observation_id":"e6f87709-dbc4-45c8-a8b9-4d1d78034659","resolution":{"observed_at":"2026-08-10T14:22:02.732161Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.10012","last_updated":"2024-01-18T14:29:23Z","snapshot_observed_at":"2026-08-14T11:48:19.926274Z","submitted_at":"2024-01-18T14:29:23Z","title":"Local entropy theory and applications","version":1},"cited_work":{"arxiv_id":"2401.10012","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.10012","snapshot_observed_at":"2026-08-06T20:23:40.259011Z","title":"Local entropy theory and applications","venue":"math.DS","work_id":"b5e6e97f-9caa-4b67-bad9-ecadb0b2e989","year":2024},"citing_paper":{"arxiv_id":"2507.03338","last_updated":"2025-07-04T06:50:53Z","snapshot_observed_at":"2026-08-13T16:06:46.423899Z","submitted_at":"2025-07-04T06:50:53Z","title":"Local entropy theory, combinatorics, and local theory of Banach spaces","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T20:23:34.922959Z"},"links":{"cited_paper":"/paper/2401.10012","citing_paper":"/paper/2507.03338"},"observation_digest":"sha256:1fcf72d189b5a7780e690d14e1365f1819d5f7f65f9d1f6f76a65d7b816fd299","observation_id":"e376106d-e6e4-4d79-aeb8-c7f6b92d2851","resolution":{"observed_at":"2026-08-06T20:23:40.318943Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"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":"2401.10012","last_updated":"2024-01-18T14:29:23Z","snapshot_observed_at":"2026-08-14T11:48:19.926274Z","submitted_at":"2024-01-18T14:29:23Z","title":"Local entropy theory and applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.10012","snapshot_observed_at":"2026-08-01T09:39:26.407187Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.20735","last_updated":"2026-07-22T21:18:55Z","snapshot_observed_at":"2026-08-14T09:57:11.360772Z","submitted_at":"2026-07-22T21:18:55Z","title":"Li--Yorke Chaos Along Any Infinite Sequence: Relative Mixing, Sofic and Rokhlin Entropy","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T09:39:26.407187Z"},"links":{"cited_paper":"/paper/2401.10012","citing_paper":"/paper/2607.20735"},"observation_digest":"sha256:f71c9738f7aa6010c3b485b36d2988dc9fbeea05d4c140f162abc6939f39c030","observation_id":"e2f59a34-f85f-4585-b3b3-4174a855899b","resolution":{"observed_at":"2026-08-01T09:39:26.407187Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2401.10012/citation-record","integrity":"/paper/2401.10012/integrity","json":"/paper/2401.10012/citation-record.json","paper":"/paper/2401.10012"},"outbound":[],"paper":{"arxiv_id":"2401.10012","last_updated":"2024-01-18T14:29:23Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-14T11:48:19.926274Z","submitted_at":"2024-01-18T14:29:23Z","title":"Local entropy theory and applications"},"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 5 inbound Pith citation observations for arXiv:2401.10012."}