{"as_of":"2026-08-13T05:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3f76b8242643d6474b432d1fb5bcc5e1376f36ddfe9aa2897b6ecb00c2beea0d","coverage":[{"denominator":79,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":79,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T00:09:52.975628Z","state":"measured"},{"denominator":80,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":80,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-08-02T01:25:10.833051Z","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":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.04001","snapshot_observed_at":"2026-08-02T01:25:10.833051Z","title":"Morris and C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.14740","last_updated":"2026-07-16T09:05:40Z","snapshot_observed_at":"2026-08-09T23:20:11.287182Z","submitted_at":"2026-07-16T09:05:40Z","title":"Projections of self-affine sets onto lines","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-02T01:25:10.833051Z"},"links":{"cited_paper":"/paper/2502.04001","citing_paper":"/paper/2607.14740"},"observation_digest":"sha256:b7b9a0fba6a93b455e11b2a2d36da93b0f10b2ea7a2370025bc1df212ed7bdce","observation_id":"57f8450c-f54b-486b-be16-c7f3a92fc83d","resolution":{"observed_at":"2026-08-02T01:25:10.833051Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2502.04001/citation-record","integrity":"/paper/2502.04001/integrity","json":"/paper/2502.04001/citation-record.json","paper":"/paper/2502.04001"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:09:53.884533Z","title":"A., and Soifer, G","venue":null,"work_id":"0f572dcc-1632-4392-a860-0439d94db7dc","year":1995},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.682164Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:782fd82b86b9487c994ac5256a94c78c0f3e61797dd5278a7bb8c45639c0b617","observation_id":"f661d587-86b3-4291-b048-886bdb04f2e7","resolution":{"observed_at":"2026-08-09T00:09:53.888205Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.16262","last_updated":"2024-07-23T08:09:35Z","snapshot_observed_at":"2026-08-12T23:16:40.367937Z","submitted_at":"2024-07-23T08:09:35Z","title":"On the dimension of orthogonal projections of self-similar measures","version":1},"cited_work":{"arxiv_id":"2407.16262","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.16262","snapshot_observed_at":"2026-08-09T00:09:53.045808Z","title":"On the dimension of orthogonal projections of self-similar measures","venue":"math.DS","work_id":"5115116d-e613-4269-a400-945a1eb4e012","year":2024},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.686278Z"},"links":{"cited_paper":"/paper/2407.16262","citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:2a1a9755675d15c9a1c7af07d6aa3f66f8bdf99491deb0d61605b80f37a9f3cc","observation_id":"57b8f781-3702-401c-b258-c026e1df6c70","resolution":{"observed_at":"2026-08-09T00:09:53.049478Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.873538Z","title":"D., Simon, K., and Troscheit, S","venue":null,"work_id":"33faea47-0c93-407f-a1b0-e066be7ca7fb","year":null},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.690231Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:513325404286c60e87d4b0a48214ebb447431c8fa451ccc7300486d9b1e9e1cc","observation_id":"c02c1dfc-2d35-4ae9-8c9f-e3aa45eb3e66","resolution":{"observed_at":"2026-08-09T00:09:53.877855Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.862203Z","title":"A formula with some applications to the theory of Lyapunov expo- nents","venue":null,"work_id":"d447a491-0bf7-4293-83f3-952b0a32008f","year":2002},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.694475Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:33e4cd37e6a4501cce43a0a8b28f6d7b813cfaed3e0929216e28022a2c1f349d","observation_id":"12a129fe-dfa9-4918-873e-9959b8663dd7","resolution":{"observed_at":"2026-08-09T00:09:53.866668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.850561Z","title":"Simplicity of Lyapunov spectra: a sufficient criterion","venue":null,"work_id":"4bd90923-a555-4caf-86be-d787e78767de","year":2007},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.698586Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:73ae4562ac712accd138de7c2d4d79fd5bf445acaa2e0228725b527333bc3926","observation_id":"4e2f4774-9736-447c-ad0d-8d18a74f17a6","resolution":{"observed_at":"2026-08-09T00:09:53.854337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.840096Z","title":"Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture","venue":null,"work_id":"d0421a33-dd16-428c-976b-6cd7095da56d","year":2007},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.703054Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:494ee68276eccebc2dfd72523f16be09112f2ccb926c8d7645c3eea87e97e4c0","observation_id":"92260b58-1cde-4479-bda4-aad744afe954","resolution":{"observed_at":"2026-08-09T00:09:53.843936Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.827961Z","title":"Hausdorff dimension of planar self-affine sets and measures","venue":null,"work_id":"001be0fe-a8db-4a51-bc03-2843a83cb602","year":2019},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.707485Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:5fb9305220e0a22bb3fba8a1633a62a5e51ba94dfb3a8b4edbd5cb408fb385d1","observation_id":"2705d940-4078-47a6-a350-f7ed9e04bdeb","resolution":{"observed_at":"2026-08-09T00:09:53.832357Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.816486Z","title":"Self-similar and self-affine sets and measures , vol","venue":null,"work_id":"ea8a72e6-74dd-4920-9bb8-077c3967ccdf","year":2023},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.711222Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:fc4f5bdf81802dbbe8409ef31d3730e8d393698b1eb733fb92be1b3b49718ed9","observation_id":"0f003f1e-cc79-4f59-b8f5-b6927160a6a9","resolution":{"observed_at":"2026-08-09T00:09:53.820593Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.805578Z","title":"Dimension and product structure of hyperbolic measures","venue":null,"work_id":"d5b4ec6b-0c29-439f-a509-df30df78e077","year":1999},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.714666Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:62446bf195b486b306c4678d3ab15a0960815828c1580139ee658aedbd86d2d8","observation_id":"dde71e98-8ac2-4ffe-9742-9c0498e06467","resolution":{"observed_at":"2026-08-09T00:09:53.809365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.792638Z","title":"Actions propres sur les espaces homogenes r´ eductifs.Ann","venue":null,"work_id":"ba016108-6b60-48a7-8327-eedc7fadbb52","year":1996},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.718533Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:15df8008a5967fa925c02b813362234933419bc28244c817f6f5af80e666d7d4","observation_id":"d71bd001-b59a-4db1-93b7-f34978f58537","resolution":{"observed_at":"2026-08-09T00:09:53.797610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.779877Z","title":"Propri´ et´ es asymptotiques des groupes lin´ eaires.Geom","venue":null,"work_id":"7cad83a2-20a0-4923-846f-cfeb5003dacd","year":1997},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.721860Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:90ccdf1f213e734fc1db242d9d68458b8e69373a47b1eff3a66182fc239eb83c","observation_id":"dcce3a93-ef56-4870-b8c5-f20d2e685593","resolution":{"observed_at":"2026-08-09T00:09:53.784265Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.768244Z","title":"Central limit theorem for linear groups","venue":null,"work_id":"83facc2f-77b3-4672-b9a5-dde8d20a4599","year":2016},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.725629Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:57b7768022aef53b7b6261a0756e290e65fffa2aa28423b87099a4506675f400","observation_id":"55dc2e92-36ee-4097-b43c-a36d3b3ac51b","resolution":{"observed_at":"2026-08-09T00:09:53.772763Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.757170Z","title":"Random walks on reductive groups , vol","venue":null,"work_id":"3a262140-2c27-4f82-b36c-9bc5b11b7a24","year":2016},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.729863Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:fb934196d13fda1ccf10fcc12e4f7afd9b940d0714093cc0da0e144e3a915488","observation_id":"4f89abbd-4c62-4309-b054-b15c01557f20","resolution":{"observed_at":"2026-08-09T00:09:53.760717Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.745995Z","title":"J., and Peres, Y","venue":null,"work_id":"33358fa5-ef5c-4f35-a230-68dec422ff49","year":2017},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.733134Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:1faa368be11128fbe0ed79588b7be994fb0932050f5f2271350df4faeff79748","observation_id":"08e15dc6-0741-4040-bbc7-3d9523ab459c","resolution":{"observed_at":"2026-08-09T00:09:53.750398Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.735646Z","title":"Some characterizations of domination","venue":null,"work_id":"c372598e-ea96-4f80-9d16-4f855b1121d6","year":2009},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.737040Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:76c1b36554620cdd81dd6d30a7f2bcc08c0960f7019418e1c9f28ceefa69f521","observation_id":"838b95a3-4fd8-4164-a8af-d19be428e6c8","resolution":{"observed_at":"2026-08-09T00:09:53.739342Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.724785Z","title":null,"venue":null,"work_id":"cb4521c3-0811-4070-a988-771b962a9492","year":2018},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.740734Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:eae79b51ea0aafad46511d2eca3c84265c16d0b42cc9f9d5a7b9cf72e60fb8c9","observation_id":"cfaf34c5-015e-4edf-b096-95565d3bbf2b","resolution":{"observed_at":"2026-08-09T00:09:53.729199Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.714744Z","title":null,"venue":null,"work_id":"f1cda469-9c43-4e5e-b77d-5fb1e59654da","year":1983},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.743981Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:973e876e9560ac244dfee9ec4997b1eed3c35c477c8c6ccf6cb65ab401889677","observation_id":"f027b46c-8560-4a7b-a23c-98ca40b075e8","resolution":{"observed_at":"2026-08-09T00:09:53.718343Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.703938Z","title":null,"venue":null,"work_id":"007ed0e2-4182-4c0c-ac4d-32c99a7b10d9","year":2005},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.747177Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:fc2164748c1d080442ff9f3978674a395ea4c87a7f84b5bc2e22a2910c306a55","observation_id":"aa8f5939-4f53-43e1-86c1-a34bc65e484d","resolution":{"observed_at":"2026-08-09T00:09:53.708053Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.693129Z","title":"The joint spectrum","venue":null,"work_id":"5acea2ca-0413-4826-9053-d7d8f15751d1","year":2021},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.750347Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:1fff77a399fa3d0d9e28c6626debf05031248e9817746b7544487ea6d0653a28","observation_id":"02f8a382-030c-403e-a1a8-dfe30be7442d","resolution":{"observed_at":"2026-08-09T00:09:53.697372Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.682921Z","title":"Bernoulli property of subadditive equilibrium states","venue":null,"work_id":"59b7e7c1-1e97-442a-99aa-faf00f44a5f9","year":2023},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.754414Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:8305ab9fa8afd75e70ad896af9d47e803404ebe6ad79bd5bd506cb52aa5af8c9","observation_id":"14555d02-cf79-42b7-b6b3-753dba1b451d","resolution":{"observed_at":"2026-08-09T00:09:53.686484Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.672260Z","title":"The thermodynamic formalism for sub-additive potentials","venue":null,"work_id":"5d60f899-f67d-4082-941b-78b5952f1702","year":2008},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.758576Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:d1a225fa79f17f28f0fca70d50b7d55a72dc7ad587ad7832677cca1890f9aaa9","observation_id":"60fb7696-c71e-477e-9c74-5e517739fb3a","resolution":{"observed_at":"2026-08-09T00:09:53.676331Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.662172Z","title":"Dimension of non-conformal repellers: a survey","venue":null,"work_id":"5049b193-ff5a-4282-a8da-2d4e2a10c030","year":2010},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.762048Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:b788f542472c80f22569dcc2d68f6613175e7fe9c7b3889c55c2d362f5570602","observation_id":"d9fd4b3b-c503-4148-b3fc-bd6a201d8381","resolution":{"observed_at":"2026-08-09T00:09:53.665851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.652207Z","title":"The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result","venue":null,"work_id":"fcca2e1f-848a-4f74-9e8d-aa8c82585e4f","year":2017},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.765444Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:a472b6488e3a8cf75f0dc57314e29c05856e3c5552750f983a0f5a99c232cf49","observation_id":"3d2ae19b-ac37-41be-9512-5547d8d9157e","resolution":{"observed_at":"2026-08-09T00:09:53.656099Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.642240Z","title":"Ergodic theory of chaos and strange attractors","venue":null,"work_id":"89776d14-f34c-46cf-acfa-ecb820c3a5df","year":1985},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.768738Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:a97e70b275e8a7eaee6f96cf1921887d4d2be2778eec80a4ff430821848634f6","observation_id":"0dbd6b54-b75e-4cdf-80b2-42d36b77b114","resolution":{"observed_at":"2026-08-09T00:09:53.646146Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.632256Z","title":null,"venue":null,"work_id":"8a6453a6-4b44-4d8d-96c2-bcd9b3ecedfe","year":1992},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.772494Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:8239eecb8f86434e55e022dff7a48f38c473d81d9124198a6dbe7f9740db0ae6","observation_id":"664e4958-c8e9-4431-9670-1d7b64a6770c","resolution":{"observed_at":"2026-08-09T00:09:53.635893Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.619132Z","title":"J.The Hausdorff dimension of self-affine fractals.Math","venue":null,"work_id":"4c6e0487-505a-4c89-9fb1-73e409fd3a1d","year":1988},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.775805Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:dd0a7f8d6b2a10d1f0f35b25e90012775909ac7a1b87589cb44c031abcd56df9","observation_id":"b20e5152-967a-4c0e-84c0-204a0ea8fdf5","resolution":{"observed_at":"2026-08-09T00:09:53.624116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.608086Z","title":"J., and Jin, X","venue":null,"work_id":"2cd2dd4a-29d2-4fa2-b4ea-ce8c31de6e0f","year":2014},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.779170Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:2b162f17497698da106b68c2e5d26cb46b24681f209e952070ff44ee339346a8","observation_id":"77e5a3c0-4c7f-4c7c-b667-a404f4138808","resolution":{"observed_at":"2026-08-09T00:09:53.612339Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.596863Z","title":"Projections of self-similar sets with no separation condition","venue":null,"work_id":"b6c580c0-ec7a-4023-a9a5-3c693c5be61e","year":2016},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.783031Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:b9a0f0f0f3a6604ee7198eda7ec2c74dd9d90aefe53ffb8e7ad3ecc3d6c425dd","observation_id":"8973d57b-29f6-45ed-ad16-514f4c58c2a9","resolution":{"observed_at":"2026-08-09T00:09:53.600762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.584884Z","title":"On restricted families of projections in R3","venue":null,"work_id":"86f083f4-51a5-45da-a9c9-e21a65a3fe22","year":2014},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.787079Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:7e19e41fa57b7c7e4b53780a4fc2eb4f2a020a041d0152be2243b63c637019ed","observation_id":"08ab2dda-8fd8-4c4d-bd32-6a8b8457f039","resolution":{"observed_at":"2026-08-09T00:09:53.588801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.574782Z","title":"Lyapunov exponents for products of matrices and multifractal analysis, II: general matrices","venue":null,"work_id":"34f6fb47-507a-4158-9222-da245ff725e7","year":2009},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.790398Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:a71b3afb2e0eea3b3f016a548a8e3cb9055771c3bd2e283735aee4c0f86eca31","observation_id":"3d3a6832-e07f-4bfa-89e1-c3d0f0b1731b","resolution":{"observed_at":"2026-08-09T00:09:53.578249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.564176Z","title":"Equilibrium states for factor maps between subshifts","venue":null,"work_id":"71459126-cd93-4d0a-8a59-605ae43bbb43","year":2011},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.793701Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:eb3e434a14adf49f7c50a1c75743f4a1cd80bb6db0d9401378f33bf4debf0b00","observation_id":"b95a190a-f055-4881-b60a-863117f5e601","resolution":{"observed_at":"2026-08-09T00:09:53.568018Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.553209Z","title":"Dimension of invariant measures for affine iterated function systems","venue":null,"work_id":"215599b1-bf45-4e2d-a001-3b3d2530ba9f","year":2023},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.797672Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:d78de6c0980a7b8e380f402b58bf8b80d0ba294930b8a28ce1c90cb29763c227","observation_id":"be6ba304-5741-4759-95a3-26debd47bf44","resolution":{"observed_at":"2026-08-09T00:09:53.557308Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.541460Z","title":"Equilibrium states of the pressure function for products of matrices","venue":null,"work_id":"3cbb37d6-69ac-40e8-b101-07c2be8159b1","year":2011},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.801202Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:e2122d72690404c0e090290b145cc35dd23dc3f007551066889e1419ca985c42","observation_id":"a4c2e742-ef79-4d71-90e1-e32e9bbe4ac0","resolution":{"observed_at":"2026-08-09T00:09:53.546065Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.530564Z","title":"The pressure function for products of non-negative matrices","venue":null,"work_id":"65e872f3-fbd6-40cc-a796-d59f538b04c6","year":2002},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.804378Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:2e892b9529bb48d03141d3a3b7e597cb901665d3fb58689663da530d13cffee9","observation_id":"895bd0db-5da7-449b-a776-75a09ec72fcf","resolution":{"observed_at":"2026-08-09T00:09:53.534077Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.519772Z","title":"Dimensions of projected sets and measures on typical self-affine sets","venue":null,"work_id":"abfa3996-b1dd-46e4-b9f3-f3c05a77895b","year":2023},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.807487Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:ba3d14cc3903076f13d8beaa0e65c938c0c955ab02bd04a7451e94f7fc5e9ea4","observation_id":"653b62dc-6150-490d-aaa8-937539f2b635","resolution":{"observed_at":"2026-08-09T00:09:53.523864Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.508005Z","title":"Non-conformal repellers and the continuity of pressure for matrix cocycles","venue":null,"work_id":"e31f364d-2f1a-4cef-b4f2-e1d9861daead","year":2014},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.811444Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:06983b449b140432e645b2c92ed5fe25b1ef7baa53604f3bc7373148d238e5fa","observation_id":"3c4b1017-1a71-416c-8175-a8141d5895f9","resolution":{"observed_at":"2026-08-09T00:09:53.512226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.495879Z","title":"Dimensions of orthogonal projections of typical self-affine sets and measures","venue":null,"work_id":"2e96e26a-55e7-47bb-98c2-b34c51986d6f","year":2025},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.815731Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:1d5dc353e0a18957a5cc4fdba505639941e449820e2bd9dee9482f4b6342597d","observation_id":"efd17599-632e-49d1-af87-0b253b8dba7e","resolution":{"observed_at":"2026-08-09T00:09:53.499951Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.484417Z","title":"The Hausdorff dimension of the projections of self-affine carpets","venue":null,"work_id":"3bd2398b-4998-4222-b4e0-59d6b697c9a7","year":2010},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.819068Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:710bc850cc69fda969b34f6f713f5ff2abb7b739943d1dc55cdfd4dca89f0f45","observation_id":"97e32be2-8cab-43ce-9c46-085c3726c513","resolution":{"observed_at":"2026-08-09T00:09:53.489101Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.473359Z","title":null,"venue":null,"work_id":"84d90194-ecc5-498e-bf6b-d3aaae1ca7c4","year":2012},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.822492Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:070249477b59a3268fe12c20f962a0a5a5caa797fe19c89900096957b39be539","observation_id":"b9d510fc-a9e4-4ef2-8c1a-dd33091ae15f","resolution":{"observed_at":"2026-08-09T00:09:53.476896Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.461139Z","title":"A., and Ornstein, D","venue":null,"work_id":"63a4e4c8-0bcd-43f0-8813-453f85aa7270","year":1970},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.826227Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:098d53d3fc8c3092acf1e5c4ada42abd06dc92bb7ecb72fb8b778a6a56e4c5e0","observation_id":"011c7f93-c348-4a7c-906a-957653762291","resolution":{"observed_at":"2026-08-09T00:09:53.465762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.449783Z","title":"Random matrix products and measures on projective spaces","venue":null,"work_id":"b77293b6-022d-4c4d-bb4a-baf1a1aca073","year":1983},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.830303Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:47d479dbda841ce23595e1215b088935e9434740c895ab17dc1269d31cebb797","observation_id":"44e641b5-5875-43e1-970d-40d5f500a4a1","resolution":{"observed_at":"2026-08-09T00:09:53.453848Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.13844","last_updated":"2024-03-24T12:44:39Z","snapshot_observed_at":"2026-08-12T22:33:28.340535Z","submitted_at":"2022-07-28T01:06:37Z","title":"On restricted projections to planes in $\\mathbb{R}^3$","version":2},"cited_work":{"arxiv_id":"2207.13844","doi":null,"metadata_source":"pith","pith_arxiv_id":"2207.13844","snapshot_observed_at":"2026-08-09T00:09:53.032626Z","title":"On restricted projections to planes in $\\mathbb{R}^3$","venue":"math.CA","work_id":"8a33bc8e-6065-46bd-aa7d-c6a4b7b7984b","year":2022},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.833711Z"},"links":{"cited_paper":"/paper/2207.13844","citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:553c99967bff08652e6ab15b05b4f0f9bedd945017cc80e842045d494efd44b1","observation_id":"67ed7f62-7b8f-41b8-9fee-19d5ff5d4b59","resolution":{"observed_at":"2026-08-09T00:09:53.036316Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.437942Z","title":"T., Green, B., Manners, F., and Tao, T","venue":null,"work_id":"53ca8c92-9fe6-4e9c-a7e0-ad4c795efd9d","year":null},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.837667Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:359ff85a7d1c334e9db6ba645868fcccf28a3810d37dd7d0b5b3b538538799fd","observation_id":"7f748b60-4285-4366-bd35-e39018c0ed82","resolution":{"observed_at":"2026-08-09T00:09:53.441886Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.425578Z","title":"Loi des grands nombres et perturbations pour des produits r´ eductibles de matrices al´ eatoires ind´ ependantes.Z","venue":null,"work_id":"17700780-e195-43ee-a475-0ae17f27e794","year":1984},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.841695Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:bc09b84fc08f798e32012e7ea01d12191ad08fb00297fe2bafc996051d4427ac","observation_id":"b23fa1ea-9fde-4494-9a5e-68b35cb06d66","resolution":{"observed_at":"2026-08-09T00:09:53.430291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.413667Z","title":"On self-similar sets with overlaps and inverse theorems for entropy","venue":null,"work_id":"9112dd30-7dcc-4423-bb0e-65a0febecf62","year":2014},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.845651Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:b44a5147a3704befcc995f47b8c52bab86f00aad9403f7bb4ec8fda375d4233a","observation_id":"94ab1db9-8fb8-4524-8ef0-9da9b3843fdc","resolution":{"observed_at":"2026-08-09T00:09:53.417910Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.402155Z","title":"Local entropy averages and projections of fractal measures","venue":null,"work_id":"4974aa58-e413-41d2-9f81-16284e625652","year":2012},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.849108Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:a05be092bb4acf3e560eacf6a34628c3e0245a2bea9cdf59d290335f6ecb0c0a","observation_id":"97d7374a-c0de-4067-b719-c4e25ec99aa1","resolution":{"observed_at":"2026-08-09T00:09:53.406478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.392128Z","title":null,"venue":null,"work_id":"db1ae90b-1ff9-49b5-883b-91b5da9e124b","year":1981},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.852415Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:b52e8ef3be11dddbde8b4482838f58250ead7ad33e9006fd207edaaa53db4c5b","observation_id":"001f6b1c-7ca8-498b-b6ef-37cf8e7d3471","resolution":{"observed_at":"2026-08-09T00:09:53.395505Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.380018Z","title":"Hausdorff dimension for randomly perturbed self affine attractors","venue":null,"work_id":"d473c813-8ddc-49af-a5bf-024ea2ac8141","year":2007},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.856093Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:67ef1bd706ba20171b5d19eea9c699ea0545f91de89c6b43fc534b52795f867e","observation_id":"486d5df0-a83b-4e61-b77e-5afcb59b5f45","resolution":{"observed_at":"2026-08-09T00:09:53.384362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.369407Z","title":"On natural invariant measures on generalised iterated function systems","venue":null,"work_id":"4128cbc3-4cc1-478e-97ff-439465ad1c9a","year":2004},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.859768Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:3437043a0abbf38816ba3804a20f3232eb00544ff5d5c82a2b25439d243627fc","observation_id":"8c1cbdeb-cf07-4347-bb71-bef39cde12f6","resolution":{"observed_at":"2026-08-09T00:09:53.373274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.357969Z","title":null,"venue":null,"work_id":"114fb42b-f2c5-4741-aff4-ff31a4059b4b","year":2018},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.863143Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:1a3f31585d3e32f1507bbc8cca64c9fb261f5d36bcd78ef8a37473e0d944e7e7","observation_id":"2dc1738f-ec9f-4a93-9339-b2e06043acb4","resolution":{"observed_at":"2026-08-09T00:09:53.362466Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.347085Z","title":"A Marstrand-type restricted projection theo- rem in R3","venue":null,"work_id":"61748879-e01e-458f-bb21-ecad6ec3a2ea","year":2025},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.867653Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:20cb7b00e48dddfd08e3698688860927d60e80654ff728bdd7b4ae9ce775a0c1","observation_id":"25beff98-01c9-4fe0-a3bf-9137e8819bf3","resolution":{"observed_at":"2026-08-09T00:09:53.350809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.335116Z","title":"On Hausdorff dimension of projections","venue":null,"work_id":"e0f926e1-b7a8-437a-9a87-dd8ae1e1df5a","year":1968},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.871334Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:2a75eb8e33e8d2f011a394e1a06e23325aeec02a610868bf2664b505b0d07ef3","observation_id":"9336d7af-93bd-46c6-a98e-58d654fe2c2f","resolution":{"observed_at":"2026-08-09T00:09:53.339637Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.322760Z","title":"Projecting the one-dimensional Sierpinski gasket","venue":null,"work_id":"8ee2827d-4f9e-493d-89f6-48581dc35232","year":1997},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.874786Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:2c7d8d6defc1bf6945c130e9fd44c6222ec6a2929151629d821b366b2f07e9bc","observation_id":"ab882cb6-37b7-48ad-b96f-203add2a6566","resolution":{"observed_at":"2026-08-09T00:09:53.327007Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.297852Z","title":null,"venue":null,"work_id":"a9c1a3bd-c0d9-4c1a-a1c8-f3db93c23079","year":1954},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.881864Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:85c9dfa6a55ac159afeac9fd65b9889714c4b5c14070cd0d98364938c9ac54fd","observation_id":"c53263df-50e2-452a-8b89-b60911251a44","resolution":{"observed_at":"2026-08-09T00:09:53.302318Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.286290Z","title":"Hausdorff dimension, orthogonal projections and intersections with planes","venue":null,"work_id":"cd52e555-fdf7-4b07-9a6d-4cf7545c7269","year":1975},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.886051Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:0f64c57c1b252c033b5dca52afb31c3b182473c0ec4cb1e3fcc47a25bd2709b6","observation_id":"0763b79e-dce8-4a8a-a6f6-ab886fff8204","resolution":{"observed_at":"2026-08-09T00:09:53.290799Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.276240Z","title":null,"venue":null,"work_id":"37bde719-1a8d-4b41-a7fa-a09c0d53336e","year":2012},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.889789Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:ab73f504a26830d246c00d3c6f9f5fe2921aa0f6d105c969f65b27dbd0b53d8f","observation_id":"db4f1437-49d9-4f65-85bc-b551adb79ce7","resolution":{"observed_at":"2026-08-09T00:09:53.279505Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.266411Z","title":null,"venue":null,"work_id":"c5c86b72-57e2-4304-884b-027c4cd39fdc","year":2018},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.893220Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:7ca71b2876b0c8a0161f5030bae6e35f777f1b7e1e713f0a226a0a0fe4c8e47d","observation_id":"a86cb902-b1b0-41cf-9eb7-dff365b007ce","resolution":{"observed_at":"2026-08-09T00:09:53.269935Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.255747Z","title":null,"venue":null,"work_id":"37cbb016-c723-414f-8663-f807a63afa15","year":2018},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.897084Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:f950906d5efb2f3882aad0382de0ce11c764523a1ec12fd09e4c0931d3f2c15b","observation_id":"b33c82b6-0f52-459c-afea-5c8fd3e4f253","resolution":{"observed_at":"2026-08-09T00:09:53.258942Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.244495Z","title":null,"venue":null,"work_id":"07510d79-fc53-4373-b615-55db418a60e6","year":2019},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.900548Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:465c5581d3cf4d18986e4262db25a91d1c02c773eb65ceb1a4ab9b4c222d5399","observation_id":"7c1c7b24-9681-43ac-a12a-cadf2300134d","resolution":{"observed_at":"2026-08-09T00:09:53.248327Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.232803Z","title":null,"venue":null,"work_id":"bea4ae60-81e0-4e84-b2a2-1ec846831842","year":2021},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.904700Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:75e60205bfef00732cc0b520efdb576d8d03f59f4309416f7bfefab6a0601f9f","observation_id":"dd90cca0-510a-433a-9ff3-b08efd2c8079","resolution":{"observed_at":"2026-08-09T00:09:53.236975Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.222757Z","title":null,"venue":null,"work_id":"0a03c413-0791-4902-b93d-1c4625af1adc","year":2023},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.907991Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:76c991d982a1d20238234fc59750af3734d9f1216d1ab52b61aeb1516f7a70b1","observation_id":"f6c1cf0e-d801-4d07-9ebf-7ad1f33817ab","resolution":{"observed_at":"2026-08-09T00:09:53.226135Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.212331Z","title":"D., and Sert, C","venue":null,"work_id":"e3fd9844-e292-470c-a86d-b675db4d2e25","year":null},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.912363Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:d57510371603366eb83edb7fedbb9c0af6eb53504ddcd81cba0fd346033d0d8c","observation_id":"faf9da27-8fed-4bcc-8859-bbfcca031f7e","resolution":{"observed_at":"2026-08-09T00:09:53.216013Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.03437","last_updated":"2023-04-27T13:54:07Z","snapshot_observed_at":"2026-08-10T01:40:45.253066Z","submitted_at":"2023-03-06T19:01:27Z","title":"A variational principle relating self-affine measures to self-affine sets","version":2},"cited_work":{"arxiv_id":"2303.03437","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.03437","snapshot_observed_at":"2026-08-09T00:09:53.015461Z","title":"A variational principle relating self-affine measures to self-affine sets","venue":"math.DS","work_id":"8a1d6584-0b4b-4c9f-a189-67c2432b5857","year":2023},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.916824Z"},"links":{"cited_paper":"/paper/2303.03437","citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:95d6217d9b335387a60e33343e806d9db2536bce527b50b09dcd2d401dee8a5a","observation_id":"21a85cde-d39d-429f-b3cf-3210abcb3f93","resolution":{"observed_at":"2026-08-09T00:09:53.021303Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.200433Z","title":"D., and Shmerkin, P","venue":null,"work_id":"97ea6074-b300-478b-b8f1-8cb59ab90d07","year":2019},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.921792Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:1135c1a7e0cc46a2e90800473a7905387e668ed46bf037b6dd4e4aa871c60f81","observation_id":"cf920619-9190-45ba-8763-ac67879f8b2b","resolution":{"observed_at":"2026-08-09T00:09:53.204442Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.189392Z","title":null,"venue":null,"work_id":"cff250bd-52c7-4073-a9e0-222a17086d4c","year":1955},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.926092Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:2fed77e3b6fd8c249f4db3a82ed8c17f95e8d78997f768769bec8633cf5a6991","observation_id":"9b3b79a7-0b8d-4241-8c65-02049615132c","resolution":{"observed_at":"2026-08-09T00:09:53.193120Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.179181Z","title":"A multiplicative ergodic theorem: characteristic Lyapunov exponents of dy- namical systems","venue":null,"work_id":"23470fb3-8153-432b-ac02-b4a2366c6d1e","year":1968},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.930312Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:3a5c147e60e5dd445647626213fae29d735cb85f492ab4c583dd2d2b68fe5cbf","observation_id":"f669ee93-9b86-4ed2-970e-4f96c5de0c73","resolution":{"observed_at":"2026-08-09T00:09:53.182795Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.168809Z","title":"Resonance between Cantor sets","venue":null,"work_id":"cc433742-14e0-4830-ab01-e1ca95533c10","year":2009},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.934727Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:a7eef8538a125a7219bdbe750b9cf9ee84798c6de3f9cf992f6306012806d207","observation_id":"be2a62d0-0ae6-42f7-ac56-c3d6cc83f9e9","resolution":{"observed_at":"2026-08-09T00:09:53.171976Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.158753Z","title":"The weak Bernoulli property for matrix Gibbs states","venue":null,"work_id":"158ff5e2-bbdc-43c0-81b1-7c275f44f63a","year":2020},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.939164Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:f89c7f991f37c732bab8cf9bfe72bc38222f1cb5bfb5533ce7f6af23a71cb542","observation_id":"404d1038-0be5-4448-956b-90898a89e76d","resolution":{"observed_at":"2026-08-09T00:09:53.162393Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.02259","last_updated":"2024-10-25T21:25:53Z","snapshot_observed_at":"2026-08-11T00:43:35.680908Z","submitted_at":"2022-07-05T18:42:41Z","title":"A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in $\\mathbb{R}^3$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.02259","snapshot_observed_at":"2026-08-09T00:09:52.942438Z","title":"A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in R3","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.942438Z"},"links":{"cited_paper":"/paper/2207.02259","citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:88a940a801acddd00db5cde189f25d4a09c74e7faaec8be72a94112bb1f425d7","observation_id":"47724f38-91a0-47c1-8d10-1f066654bc1f","resolution":{"observed_at":"2026-08-09T00:09:52.942438Z","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":"2026-08-09T00:09:53.146361Z","title":"Resonance between planar self-affine measures","venue":null,"work_id":"075d1b4d-5dd5-4b41-8b63-32a731d20a2a","year":2024},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.946155Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:4f2fdae2715e91df9c2f222168eac0cde21bd335d7288c0da1f8bec1d87c4103","observation_id":"7ed7d948-a174-4df4-a7df-da47477bc2da","resolution":{"observed_at":"2026-08-09T00:09:53.151047Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.133962Z","title":"Divergence exponentielle des sous-groupes discrets en rang sup´ erieur.Comment","venue":null,"work_id":"d37e7059-1798-4ba8-833a-222440dea365","year":2002},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.949919Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:4c079616b012466dd32cc8db76a9a5220c399e6270f3a2f0655201ee61c3ad01","observation_id":"2372329d-7092-4aca-850f-da1396865e28","resolution":{"observed_at":"2026-08-09T00:09:53.138618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.122804Z","title":"On self-affine measures associated to strongly irreducible and proximal systems","venue":null,"work_id":"4a69b30b-af83-427f-921a-f8031f0ae01a","year":2024},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.953138Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:107ba828fe1b8642b64868bd98f936a4d038f5c93c8b086f3cc1214109d05ed7","observation_id":"3377d396-328e-4087-a526-3cfebb2cec5d","resolution":{"observed_at":"2026-08-09T00:09:53.126642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.111327Z","title":"D., and Yorke, J","venue":null,"work_id":"ba498c04-edcb-451d-b467-3ce89bf7d2df","year":1997},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.956481Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:a5e47947970841855aef5586d9282bb7b09e5b638f28a06cd7f5daec289dbf58","observation_id":"da3cbeab-9e20-4f7c-8dd6-79e067ef8dbc","resolution":{"observed_at":"2026-08-09T00:09:53.115533Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.099095Z","title":"Large deviation principle for random matrix products","venue":null,"work_id":"42e0b8b3-3120-4088-9bc3-f0c13e5d9006","year":2019},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.959750Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:d98277fcd15911a942965193e8b41c47f00615a334e1b616424c5cd4e6c179c9","observation_id":"261e2c1c-933f-4e89-bfd3-02cddfdc6437","resolution":{"observed_at":"2026-08-09T00:09:53.103471Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.088203Z","title":"On the dimension of self-similar sets","venue":null,"work_id":"39e84b25-f11d-4131-8410-aab27f425862","year":2002},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.963646Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:d920c5303a3079f6b52ecfe3a1f65e8da24369cf42d069daba6ddf3386cef551","observation_id":"c86ea191-96ac-4955-913d-cbc21308fbea","resolution":{"observed_at":"2026-08-09T00:09:53.091817Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.076988Z","title":"Measure and dimension for some fractal families.Math","venue":null,"work_id":"73ba8592-23bf-489d-8eed-56ee86ef8cb6","year":1998},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.967993Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:94defacb9ff36df4d235d5beacc2383f76b2cbfd2b9b1bfcf61baa6a8df50ffc","observation_id":"4392b79e-f220-4fb3-ac8f-1f2103726c45","resolution":{"observed_at":"2026-08-09T00:09:53.080723Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.066870Z","title":"Free subgroups in linear groups","venue":null,"work_id":"c098068e-96bc-409d-be96-92f919cdd43c","year":1972},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.972376Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:28b25f700b6ac79d6f99b68dd36a81fb78abe5187856a7b951c1167f9e77bac5","observation_id":"386480fc-43e0-48af-8b95-3543ea4e07ea","resolution":{"observed_at":"2026-08-09T00:09:53.070301Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.056410Z","title":"The generalized spectral radius and extremal norms","venue":null,"work_id":"36cce271-ec80-4329-a999-d0ceede82209","year":2002},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.975628Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:6e724ec3654652372d6469d9a3bdb72d89c2871d0007e901bbfe89d2456736ee","observation_id":"e7d6b48c-7d4c-4168-85ab-b225b5c4ecb9","resolution":{"observed_at":"2026-08-09T00:09:53.060082Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-09T00:09:53.309318Z","title":null,"venue":null,"work_id":"81401c03-8200-45e6-933c-d5f087c67944","year":null},"citing_paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals","version":2},"reference_index":238,"source":"pdf_text","source_observed_at":"2026-08-09T00:09:52.878200Z"},"links":{"citing_paper":"/paper/2502.04001"},"observation_digest":"sha256:4d9d1782ed67bc3f5b3e1737d6b9987fa3bcd166723fbdd75b4e674d33b6e912","observation_id":"1e2fcb7e-0435-4de4-8316-59339d332fc1","resolution":{"observed_at":"2026-08-09T00:09:53.314072Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.04001","last_updated":"2026-07-07T16:25:13Z","latest_version":2,"primary_category":"math.DS","snapshot_observed_at":"2026-08-09T14:22:00.057185Z","submitted_at":"2025-02-06T12:00:05Z","title":"Projections of self-affine fractals"},"reference_resolution":{"displayed":79,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":3,"verified_fuzzy":59},"total_outbound_references":79},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 1 inbound Pith citation observation for arXiv:2502.04001."}