{"as_of":"2026-08-13T13:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:80d6182c03dad863028d98929967129d34554b0b12103a912b4d27e3f0c0c4ea","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T23:53:52.744171Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T13:18:25.857111Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.02278","snapshot_observed_at":"2026-08-03T13:18:25.857111Z","title":"Mean dimension theory for infinite dimensional Bedford–Mcmullen sponges","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2601.00233","last_updated":"2026-06-25T14:20:13Z","snapshot_observed_at":"2026-08-10T10:36:41.957795Z","submitted_at":"2026-01-01T06:43:06Z","title":"Mean Assouad dimension and spectrum, with applications to infinite dimensional fractals","version":2},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-03T13:18:25.857111Z"},"links":{"cited_paper":"/paper/2412.02278","citing_paper":"/paper/2601.00233"},"observation_digest":"sha256:3bc70ceb252f8d3f61a3fc75fab3bf72bc17ca320962349c4297b544002677e2","observation_id":"864283ef-9292-42ab-ae05-732cd2d078f7","resolution":{"observed_at":"2026-08-03T13:18:25.857111Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.02278/citation-record","integrity":"/paper/2412.02278/integrity","json":"/paper/2412.02278/citation-record.json","paper":"/paper/2412.02278"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2307.16772","last_updated":"2023-07-31T15:38:39Z","snapshot_observed_at":"2026-08-13T10:43:57.003155Z","submitted_at":"2023-07-31T15:38:39Z","title":"Weighted topological pressure revisited","version":1},"cited_work":{"arxiv_id":"2307.16772","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.16772","snapshot_observed_at":"2026-08-11T23:53:52.833786Z","title":"Weighted topological pressure revisited","venue":"math.DS","work_id":"7d2b2009-8849-41ed-b355-b3f8b251b833","year":2023},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.631455Z"},"links":{"cited_paper":"/paper/2307.16772","citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:acb93b3e1e6c64a9692976cfb83ea64c4ef9850cf419bbbbc605314291118d83","observation_id":"4ac1329c-6238-4f43-b06f-f404a4ceee39","resolution":{"observed_at":"2026-08-11T23:53:52.838218Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":{"arxiv_id":"2408.06637","last_updated":"2024-12-16T07:44:05Z","snapshot_observed_at":"2026-08-13T11:08:06.444782Z","submitted_at":"2024-08-13T05:02:55Z","title":"Improved dimension theory of sofic self-affine fractals","version":2},"cited_work":{"arxiv_id":"2408.06637","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.06637","snapshot_observed_at":"2026-08-11T23:53:52.818340Z","title":"Improved dimension theory of sofic self-affine fractals","venue":"math.DS","work_id":"82d427c8-5c4f-4f10-8c09-8ed3a191e5ed","year":2024},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.636329Z"},"links":{"cited_paper":"/paper/2408.06637","citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:a4afa56c4a6335286839b74f2a23f21da6da91d1de8e848608d2fa81e5d516e2","observation_id":"01ce673b-cd5a-41bc-a988-0269c2f5b9e3","resolution":{"observed_at":"2026-08-11T23:53:52.822574Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-11T23:53:53.121280Z","title":"Hausdorff dimension of the limit set s of some planar geometric constructions","venue":null,"work_id":"57d161ab-f26a-4ce5-8c8a-c6c1b7d510ab","year":2007},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.640409Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:dae1ed0724dab28d4dcc25b4d1d837af92c0f87e7b30555c978f7d6b49e34eef","observation_id":"0c73a8db-9fd7-4eb3-a00a-15b5978b6d6e","resolution":{"observed_at":"2026-08-11T23:53:53.125507Z","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":"2026-08-11T23:53:53.109340Z","title":"Crinkly curves, Markov partitions and box dimensions in self-si milar sets","venue":null,"work_id":"7cde7c5d-9342-4101-98a8-3041cec7c822","year":null},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.644312Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:24d0a05019f041b9b8fd91679736de653c29852c5c547f759c4325d3abf4b922","observation_id":"e8768b66-18ed-47f9-a67a-1f2107f801b7","resolution":{"observed_at":"2026-08-11T23:53:53.113489Z","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":"2026-08-11T23:53:53.088842Z","title":"Topological entropy for noncompact sets","venue":null,"work_id":"39930195-3e87-4fbb-9baf-f2aa53f2da1c","year":1973},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.652057Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:ae18b8dad9d3031cb63358c3c4349cba229b711099060cfa9133d8e690388f4d","observation_id":"e0bc72bb-64c5-4ad9-b9e3-6c147ed55b0a","resolution":{"observed_at":"2026-08-11T23:53:53.093514Z","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":"2026-08-11T23:53:53.076765Z","title":"The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result","venue":null,"work_id":"70a6bf83-91b3-469e-9415-ea473b2caa9e","year":2017},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.656088Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:9855e8c3110951d2b43435694e88ae3d7eafeb219f3efd02574c229411ba83d9","observation_id":"4e6942de-8fd4-40cf-a1b4-ae0e100c9caa","resolution":{"observed_at":"2026-08-11T23:53:53.080908Z","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":"2026-08-11T23:53:53.064667Z","title":"Falconer","venue":null,"work_id":"fbe0db46-22e4-453b-865b-05826e64c3af","year":1989},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.660015Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:3450559a39753663bb76ef14b940fe2a69aee45e50e13034585d5cb606624910","observation_id":"5189b0b2-9ffb-4272-bbee-731b44d911d6","resolution":{"observed_at":"2026-08-11T23:53:53.068862Z","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":"2026-08-11T23:53:53.051888Z","title":"Variational principle for wei ghted topological pressure","venue":null,"work_id":"6ae35314-68d4-4cc1-ae65-68f03dd3ce1f","year":2016},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.664494Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:ac5c6a4fd21a331bfe2c3ef2c9e7a0c5e88647ce85c95d0eff24c5f449e1ec4a","observation_id":"f5878d24-fda3-4fd5-a140-6ec6c82301cc","resolution":{"observed_at":"2026-08-11T23:53:53.056269Z","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":"2026-08-11T23:53:53.039873Z","title":null,"venue":null,"work_id":"575c3a4b-b58c-4ccc-88d6-6c7ea0a01f8e","year":2014},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.668215Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:5e0b1383504ddeee3bc2d5139f133a1725b029845b03510e8ee48b1dacb0e3f3","observation_id":"3c1fec81-ee77-4526-b72d-f849c2f78a02","resolution":{"observed_at":"2026-08-11T23:53:53.044126Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:53:52.672014Z","title":"Topological invariants of dynamical sys tems and spaces of holomorphic maps","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.672014Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:948f6c041e5c19f8d08b5c5d5f2fb5bc5ef649c00ebff857457dc07c64e0e26a","observation_id":"6622ef5c-9994-40d2-9241-9f9f9bd78f90","resolution":{"observed_at":"2026-08-11T23:53:52.672014Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:53:53.020039Z","title":"A variational principle for wei ghted topological pressure under Zd- actions","venue":null,"work_id":"0eafa3cc-bb42-4328-b9d2-ab7c26c43d50","year":2023},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.675853Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:05284d6c520158a408c19a03235423831af90ab9a65656693e71c7d5a74c7b16","observation_id":"17da1f15-5f50-41eb-a3d3-657981682428","resolution":{"observed_at":"2026-08-11T23:53:53.024522Z","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":"2026-08-11T23:53:53.008579Z","title":"The rate-distortion d imension of sets and measures","venue":null,"work_id":"5eee4dd0-fc6e-4b15-b3bb-ea8cdcc4495a","year":1994},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.680030Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:6880f182660f052dd6d7636d2aaaace8e390c88672fcf5f4f3c8b3ea4c1a3877","observation_id":"2f58b72e-53aa-4991-8b96-75ac22863759","resolution":{"observed_at":"2026-08-11T23:53:53.012327Z","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":"2026-08-11T23:53:52.997630Z","title":"Kenyon and Yuval Peres","venue":null,"work_id":"8da84cd7-c2f3-4277-b572-fdb489a3cf5a","year":1996},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.683926Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:f84ee101811f6b7d2ea8b0f9b52cf6cbd096508754ad657138ab168b8736010c","observation_id":"f84c6c26-6692-4cb4-9344-f92bdbe8b1bc","resolution":{"observed_at":"2026-08-11T23:53:53.001584Z","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":"2026-08-11T23:53:52.985983Z","title":"Kenyon and Yuval Peres","venue":null,"work_id":"9aeb16a9-56fa-44a0-9bb7-83f6185df509","year":1996},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.687790Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:caa3f158691f5bf25cfbad2cd9b149fb35663b51ab7da638a705a17a604576fe","observation_id":"4c9b5d4b-d595-44b4-9dfb-90652a252c7b","resolution":{"observed_at":"2026-08-11T23:53:52.989978Z","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":"2026-08-11T23:53:52.975227Z","title":"Lalley and Dimitrios Gatzouras","venue":null,"work_id":"6121b538-bee5-4d58-8c0f-f64689e1dc15","year":1992},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.691576Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:26783831039b1eeaf5a5ff8348ae543fa73bb6af57ae61d6636e7e2fe86e5c89","observation_id":"7c08abba-a423-4613-8fd0-39c84fdd1d69","resolution":{"observed_at":"2026-08-11T23:53:52.979122Z","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":"2026-08-11T23:53:52.963889Z","title":"A relativised v ariational principle for continuous transfor- mations","venue":null,"work_id":"b577e2ed-db7d-453b-8d03-9372bd08fc7b","year":1977},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.695368Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:c52e3a3ebc8f791082c5cb0d8e5f93319886b990ea7735c2daf4f209f353d636","observation_id":"d9de10cc-e86e-43db-8269-8db7caf86c5a","resolution":{"observed_at":"2026-08-11T23:53:52.968054Z","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":"2026-08-11T23:53:52.953382Z","title":"Mean dimension, small entropy fac tors and an embedding theorem","venue":null,"work_id":"943a20ff-17f9-4e4c-9de7-7367d680d0bd","year":1999},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.699071Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:c8c10e04a6581455edc8d48f5d139dd50dec7beff18d018de703376c1ae50fce","observation_id":"f32c9c71-0196-4cc0-a44d-eed8cc9954cd","resolution":{"observed_at":"2026-08-11T23:53:52.957084Z","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":"2026-08-11T23:53:52.942794Z","title":"From rate dis tortion theory to metric mean dimension: variational principle","venue":null,"work_id":"384d7c74-f241-4a5e-8e96-15ed6adcfe38","year":2018},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.702804Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:ecd48ba47c0295a951189e9aaa8a8fc623bb9d4d6610a8e1addbe3c530adf730","observation_id":"eb7ad6e5-d07c-4a6b-9be2-b45be89f77f2","resolution":{"observed_at":"2026-08-11T23:53:52.946511Z","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":"2026-08-11T23:53:52.930734Z","title":"Double varia tional principle for mean dimension","venue":null,"work_id":"3729ff7f-97f0-4700-90c4-ae2ee9380b89","year":2019},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.706556Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:47928270f915302b806b6e540df33988dcaf7e31f5740d1c9e8fc14900793548","observation_id":"728e5f19-8662-45f5-b6c5-b5758a6a0689","resolution":{"observed_at":"2026-08-11T23:53:52.934757Z","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":"2026-08-11T23:53:52.919185Z","title":"Mean topologic al dimension","venue":null,"work_id":"e40da70f-5736-4b35-b24c-8858960693da","year":2000},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.710632Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:1b3ccc92f4ea93f3226b0008c51b6cdea097723196b82c03f6057fd4f3ceb60d","observation_id":"0bbf6bcb-547c-445a-97d6-b02cb8a7caf8","resolution":{"observed_at":"2026-08-11T23:53:52.923289Z","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":"2026-08-11T23:53:52.907560Z","title":null,"venue":null,"work_id":"fdfa898d-8e96-493e-9fb2-4736481a7344","year":2011},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.714434Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:962308a35d7af2ffb0ccbeaf72cd119e47d20c570ed2199f5c7007b25107473c","observation_id":"229acb7a-d508-4e40-adbc-18fb664ae9c5","resolution":{"observed_at":"2026-08-11T23:53:52.911666Z","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":"2026-08-11T23:53:52.894776Z","title":"The Hausdorff dimension of general Sierp iński carpets","venue":null,"work_id":"88db115b-8a05-4a42-93a4-73f2c9a8a24c","year":1984},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.718095Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:4a7c610d46de5b3cf312bdb2428d124e5622c091243a0e0c9806c99a0f90e5aa","observation_id":"576b12a7-b1b4-4a39-9afb-a9983476b34d","resolution":{"observed_at":"2026-08-11T23:53:52.898926Z","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":"2026-08-11T23:53:52.883365Z","title":"Robinson","venue":null,"work_id":"e4131f4d-2484-4adb-9a8d-94a897b6fd82","year":2011},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.721960Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:401e678f0b422007274fd61433123860807eb9fd36d6e54525b0c7c78e23b7b8","observation_id":"a0595aa8-c947-4d26-84bc-35385ee0abd4","resolution":{"observed_at":"2026-08-11T23:53:52.887006Z","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":"2026-08-11T23:53:52.870648Z","title":"Weighted entr opy of a flow on non-compact sets","venue":null,"work_id":"3c6de6fb-f4c4-4dcc-b7c7-dfc083c199a7","year":2020},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.725676Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:c41d93da184da1be4bb7dc50c68386d75e08159ec05660ce64ca6b36e5cba07e","observation_id":"22b2d0a5-c004-486b-9565-dd2e4cb439a6","resolution":{"observed_at":"2026-08-11T23:53:52.875285Z","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":{"arxiv_id":"2209.00512","last_updated":"2022-09-01T14:56:59Z","snapshot_observed_at":"2026-08-02T16:29:12.916898Z","submitted_at":"2022-09-01T14:56:59Z","title":"Mean Hausdorff dimension of some infinite dimensional fractals","version":1},"cited_work":{"arxiv_id":"2209.00512","doi":null,"metadata_source":"pith","pith_arxiv_id":"2209.00512","snapshot_observed_at":"2026-08-11T23:53:52.801741Z","title":"Mean Hausdorff dimension of some infinite dimensional fractals","venue":"math.DS","work_id":"791a3467-907d-439b-9b17-96da61525b8c","year":2022},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.729262Z"},"links":{"cited_paper":"/paper/2209.00512","citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:cc23e90e90c7ed85954dabc7384bc63ed57d41a10b67754e465b7c368f62439d","observation_id":"995f50b0-2a90-4910-b48e-c8d065300830","resolution":{"observed_at":"2026-08-11T23:53:52.805899Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-11T23:53:52.857615Z","title":"New approach to weighted topologica l entropy and pressure","venue":null,"work_id":"0793e0f3-8dac-468e-808e-d6c9bb1f015e","year":2023},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.733200Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:1b6db88b8c447b6bdb4afad864ab12ab93bd7282cea23137d16d24181fede4a9","observation_id":"afadf945-edce-49ac-af77-93271ff4b643","resolution":{"observed_at":"2026-08-11T23:53:52.862303Z","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":{"arxiv_id":"1707.05762","last_updated":"2017-07-18T17:45:09Z","snapshot_observed_at":"2026-07-06T05:51:40.351816Z","submitted_at":"2017-07-18T17:45:09Z","title":"Rate distortion theory, metric mean dimension and measure theoretic entropy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.05762","snapshot_observed_at":"2026-08-11T23:53:52.736698Z","title":"Rate distortion theor y, metric mean dimension and measure theoretic entropy","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.736698Z"},"links":{"cited_paper":"/paper/1707.05762","citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:7b5d0bb25c75a4c95d69b6918bcffb39f9a6f7539fef8d174df859a30a8d36d5","observation_id":"704122bf-29bc-41ae-acf3-d98a94da1038","resolution":{"observed_at":"2026-08-11T23:53:52.736698Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:53:52.846159Z","title":"An introduction to ergodic theory , volume 79 of Graduate Texts in Mathematics","venue":null,"work_id":"e158a5e0-a3d2-47c3-9d20-2378977e6edf","year":1982},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.740773Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:fc72b0e9f1e1d3c274bbacc48117d00b9dee7f4125ecdafed9b8a2b956a4e25a","observation_id":"b2370f1e-1e89-4069-8d0a-86ddc128e85f","resolution":{"observed_at":"2026-08-11T23:53:52.850272Z","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":{"arxiv_id":"2401.03679","last_updated":"2025-03-07T05:23:36Z","snapshot_observed_at":"2026-08-13T04:47:34.615430Z","submitted_at":"2024-01-08T06:02:52Z","title":"Variational principles of relative weighted topological pressures","version":7},"cited_work":{"arxiv_id":"2401.03679","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.03679","snapshot_observed_at":"2026-08-11T23:53:52.773481Z","title":"Variational principles of relative weighted topological pressures","venue":"math.DS","work_id":"f4e1bbd4-c34d-47d7-989d-1051c2b3e6e9","year":2024},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.744171Z"},"links":{"cited_paper":"/paper/2401.03679","citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:15092f2c4b05776ef7d9dfe1967bc3a0f1fb474fe103c42948c7df8625353a21","observation_id":"190d7177-8d0b-4c58-b710-247b3b9864d2","resolution":{"observed_at":"2026-08-11T23:53:52.779652Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T23:53:52.648401Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges","version":2},"reference_index":1984,"source":"pdf_text","source_observed_at":"2026-08-11T23:53:52.648401Z"},"links":{"citing_paper":"/paper/2412.02278"},"observation_digest":"sha256:a94081e956d5d79f110619bf70240eedbe63f39087c331e549149a336c86bd3e","observation_id":"54e3a7d9-324a-41b9-b2c2-e5a0afbfe835","resolution":{"observed_at":"2026-08-11T23:53:52.648401Z","resolver_source":null,"status":"parse_uncertain"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.02278","last_updated":"2024-12-05T09:55:46Z","latest_version":2,"primary_category":"math.DS","snapshot_observed_at":"2026-08-13T11:43:41.659325Z","submitted_at":"2024-12-03T08:53:37Z","title":"Mean dimension theory for infinite dimensional Bedford-McMullen sponges"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":1,"unresolved":4,"verified_exact":4,"verified_fuzzy":21},"total_outbound_references":30},"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 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2412.02278."}