{"as_of":"2026-08-17T11:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:24f4fb459f0de5491cbafdef00a95d741ca96a55c4d3e57db62004aa84b148fc","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:34:10.988060Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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/1908.05088/citation-record","integrity":"/paper/1908.05088/integrity","json":"/paper/1908.05088/citation-record.json","paper":"/paper/1908.05088"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:34:11.382053Z","title":"Viana da Silva","venue":null,"work_id":"37629336-f9dc-4df2-950d-05506daf5a01","year":1988},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.897551Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:d4fd5d0d2049cb473556ffb0b83697f815830b6f2e3d76386a7af148775e12aa","observation_id":"298753c5-0b34-487a-8cd4-f7092feadd94","resolution":{"observed_at":"2026-08-14T13:34:11.388582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T13:34:11.354999Z","title":"Nice sets and invariant densities in complex dynamics","venue":null,"work_id":"0539300e-ea38-49c9-aed2-7f7086cca236","year":2011},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.906759Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:0debb8ecb409f8bf8066c5f69b425f8b65b8b8f817a6604123785f603bd023c2","observation_id":"7bb23839-8b5b-4a61-9c24-41bd0ea5022f","resolution":{"observed_at":"2026-08-14T13:34:11.364037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T13:34:11.308709Z","title":"Measures with positive Lyapunov exponent an d conformal measures in rational dynamics","venue":null,"work_id":"a1b7d2f0-4839-47f4-bb56-bd7bd9cc260a","year":2012},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.914059Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:fdb864de4248475801a09b5eb0ffbce64fa89a1d1edf917a3c4a29ad4d5eaab5","observation_id":"f3b63c55-333d-497d-8733-309b8fe84897","resolution":{"observed_at":"2026-08-14T13:34:11.321820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T13:34:11.280323Z","title":"Line, spiral, dense","venue":null,"work_id":"7be4c549-3cd5-48ab-bdc1-08aad5047e5b","year":2016},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.922227Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:2e291c7f7d9ae5cd751642d125aa909c9aa3ea365b20668988b362f77b7283f7","observation_id":"0a900159-c2ce-4985-99b8-564e72246e5f","resolution":{"observed_at":"2026-08-14T13:34:11.291561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T13:34:11.246777Z","title":"Dense yet elementary","venue":null,"work_id":"9584328c-766e-42c4-91e8-4646598f68c4","year":2017},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.928829Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:58bf53d3c1302d8c08f49d75150c8b13b12be0aa19a80a93bcc66335039cf826","observation_id":"f2c66bc8-3124-4f20-a9ad-3dc6355cc213","resolution":{"observed_at":"2026-08-14T13:34:11.257287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T13:34:11.224054Z","title":null,"venue":null,"work_id":"e3bc4357-5b3b-4cd2-a7a6-ebfe33cf2462","year":1991},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.934926Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:771dd1069b937c5cc982c1344d634c81948036b7e2d93698e9b2bc2cab6a3f0f","observation_id":"dfdab2b5-c407-4dba-9a07-c8dceaaf0c41","resolution":{"observed_at":"2026-08-14T13:34:11.231055Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T13:34:11.195712Z","title":"Local connectivity of Julia sets: exposito ry lectures","venue":null,"work_id":"c52b1649-e6a9-45b6-96c9-8b31a8c20c19","year":2000},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.944965Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:27eddb1592c63f27e495d8e8354d796c226868331a85ef17636fa3b1807666b4","observation_id":"a5f0ae15-0dce-4542-879e-d12f385c3874","resolution":{"observed_at":"2026-08-14T13:34:11.202352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T13:34:11.161949Z","title":"Statistica l properties of topological Collet- Eckmann maps","venue":null,"work_id":"a1251ae9-2fad-4d46-a10e-5682fdc8fd0f","year":2007},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.958029Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:08d730cbcb8220a783c88667c0675f83afaf1a97187701de58b2593d175d7347","observation_id":"d04e6453-e869-40b9-9f8e-2709e50a8082","resolution":{"observed_at":"2026-08-14T13:34:11.169824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T13:34:11.130941Z","title":"Nice induci ng schemes and the thermodynamics of rational maps","venue":null,"work_id":"f304378a-5b2d-4074-b8a3-14f2577776e6","year":2011},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.964526Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:064aff5502f48afa7c2e2645938ddb73ca55f4f9c181c0bfce1468bd65d0543a","observation_id":"f5e511c6-3d47-46ba-9128-5ece17d30e3d","resolution":{"observed_at":"2026-08-14T13:34:11.142297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T13:34:11.102100Z","title":"A connecting lemma for rational maps satisfying a no-growth condition","venue":null,"work_id":"7868a588-1b51-41c6-a872-bd24165b8419","year":2007},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.974370Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:5b878cb0b2b108a1ba1d0ffe0fadde1fd0608bd36819357e825a14eeee590aa3","observation_id":"080229ba-e247-452f-aa9b-bc0f8a8e363a","resolution":{"observed_at":"2026-08-14T13:34:11.111739Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T13:34:11.074667Z","title":"Statistical pr operties of one-dimensional maps under weak hyperbolicity assumptions","venue":null,"work_id":"33f8ac98-f311-401b-8301-b856fdbc9011","year":2014},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.982278Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:f63ae1b3e8c5052b25f420c0fd95a32f81ede9d6a6661ed746bb177b39536a94","observation_id":"6366d9ae-3262-413d-8a92-c5bd73cbc207","resolution":{"observed_at":"2026-08-14T13:34:11.084051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-14T13:34:11.037839Z","title":null,"venue":null,"work_id":"fb0faf02-b671-46c1-98eb-0f2dbd42b395","year":2008},"citing_paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:34:10.988060Z"},"links":{"citing_paper":"/paper/1908.05088"},"observation_digest":"sha256:956eded100cf433feb7e799faf93337b625184402351ca8f72b7e48939e6391c","observation_id":"d3f0cfa4-07b2-493f-9f38-d25efd0d752c","resolution":{"observed_at":"2026-08-14T13:34:11.053346Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.05088","last_updated":"2019-08-14T12:10:33Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-14T15:43:17.420216Z","submitted_at":"2019-08-14T12:10:33Z","title":"Knobbly but nice"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":10},"total_outbound_references":12},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.05088."}