{"as_of":"2026-08-23T08:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:becb40e10cbe5ec404020b8a0b613f92124a67fe66e3c8933d5b230d36390c03","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T18:28:24.376037Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T05:31:53.475060Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T22:04:34.238300Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.11412","snapshot_observed_at":"2026-08-09T05:31:53.475060Z","title":"B., Roychowdhury, P","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.03267","last_updated":"2025-03-07T14:34:29Z","snapshot_observed_at":"2026-08-18T00:49:35.813198Z","submitted_at":"2025-02-05T15:22:24Z","title":"On Lebesgue points and measurability with Choquet integrals","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T05:31:53.475060Z"},"links":{"cited_paper":"/paper/2501.11412","citing_paper":"/paper/2502.03267"},"observation_digest":"sha256:1111f918ba929d7080af911fb71797bb1c77274ea8b37c8f79913425e0b4c4bd","observation_id":"02df036d-2f20-414b-834a-42f4fbe1515e","resolution":{"observed_at":"2026-08-09T05:31:53.475060Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"cited_work":{"arxiv_id":"2501.11412","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.11412","snapshot_observed_at":"2026-08-06T22:04:34.238300Z","title":"The Capacitary John-Nirenberg Inequality Revisited","venue":"math.FA","work_id":"a6435aa7-8a53-4429-9876-11a0207d03a8","year":2025},"citing_paper":{"arxiv_id":"2506.23206","last_updated":"2025-06-29T12:25:10Z","snapshot_observed_at":"2026-08-06T21:45:22.336467Z","submitted_at":"2025-06-29T12:25:10Z","title":"Uncentered Fractional Maximal functions and mean oscillation spaces associated with dyadic Hausdorff content","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.073809Z"},"links":{"cited_paper":"/paper/2501.11412","citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:aa9095ce7ef844c83bbb51a3b233d67eae0b3cf412e95d309f70d5aba65e691d","observation_id":"e950c7ba-70d5-460a-8122-70623a0d3a42","resolution":{"observed_at":"2026-08-06T22:04:34.356650Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.11412/citation-record","integrity":"/paper/2501.11412/integrity","json":"/paper/2501.11412/citation-record.json","paper":"/paper/2501.11412"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4064/sm204-1-2","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.695553Z","title":"Aalto, L","venue":null,"work_id":"855897b9-15fa-4b0e-b3e3-cc0295acc35d","year":2011},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.219326Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:ec2a22aa0476182b05168db84c64e338c9e2315a1e91296956559067decbf748","observation_id":"49ee4f30-0a1e-46cc-a56e-58a940d62700","resolution":{"observed_at":"2026-08-10T18:28:24.699730Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.224460Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.224460Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:0fb53227cc8d4b85efe62ca0ca4554708767abaf2dc3d6e9f78b9ae5f62e9526","observation_id":"2c5c9c48-9681-4b91-8e4e-11b92dc4f245","resolution":{"observed_at":"2026-08-10T18:28:24.224460Z","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":"10.1512/iumj.1978.27.27040","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.669173Z","title":null,"venue":null,"work_id":"4d54e997-66b0-4b34-9b70-37f9ba5aece8","year":1978},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.228849Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:6938e6c8b99fac8342d4ec57f7e3720dc3716d76742725c65a649424cf9c49a2","observation_id":"67ab4bc8-1118-4627-be8d-bc130db59738","resolution":{"observed_at":"2026-08-10T18:28:24.675978Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bfb0078867","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:08:50.044864Z","title":"1302, Spr inger, Berlin, 1988, pp","venue":"Lecture notes in mathematics","work_id":"b9e2f0f2-c049-4004-acbe-fc4e8303e50e","year":1986},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.233335Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:0f1ffb9622669519ea22792f854cbad20288ea483b31db7a905f996a61ec5576","observation_id":"6b57701d-e1cc-4507-8a27-6f4abee5c76e","resolution":{"observed_at":"2026-08-10T18:28:24.660556Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2047327","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.643163Z","title":null,"venue":null,"work_id":"dfef0b5c-dded-4a47-90f2-86209310912c","year":1988},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.238211Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:99725422682b9d6d1a5a930609c6df23bcd60d36d8aae0c5ebc830e01136d4b2","observation_id":"aa78ba8f-127f-42d5-873a-9e98c0fd5927","resolution":{"observed_at":"2026-08-10T18:28:24.647104Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T18:28:24.929031Z","title":null,"venue":null,"work_id":"0a67a22a-e4ee-4b71-9aff-440654b483a0","year":1998},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.243271Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:695b7c024d761d42a52e5389cbc3d9c867c35118492dcc2d3633c541b9f34323","observation_id":"2f32d145-6357-4b9a-970f-e0564f5a1dd0","resolution":{"observed_at":"2026-08-10T18:28:24.933056Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T18:28:24.917466Z","title":null,"venue":null,"work_id":"2ace9b3a-7a96-4efd-93b0-b3ca5917f135","year":1996},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.247780Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:cbfe8f3a938581b30c6a634a7ad45d6d0f155d8a1f7c8d00fb25ad94e7ddc78a","observation_id":"d0d67b3b-7712-4e5d-af04-12535c924987","resolution":{"observed_at":"2026-08-10T18:28:24.921653Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2039477","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.630307Z","title":null,"venue":null,"work_id":"9e185cd9-04c7-4f93-b301-a2b0422e5443","year":1973},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.251916Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:180662a7b75f375d2706e8051d53924c104303197ce24a000b8fdd9b7e3a315a","observation_id":"096ad827-52c3-4d6d-9905-8120218753d7","resolution":{"observed_at":"2026-08-10T18:28:24.634827Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf01391470","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:08:50.044864Z","title":"Anger, Representation of capacities , Math","venue":"Mathematische Annalen","work_id":"67203965-bbb1-4902-9184-cb82a752de4e","year":1977},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.256157Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:4746dced5f2b113007215f47143bc8ba5f0afc8b72ed6f6dc103103589f37017","observation_id":"e375753d-00cd-499c-b41e-a3865af5e475","resolution":{"observed_at":"2026-08-10T18:28:24.620384Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.259827Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.259827Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:c1e574675b941e90ec255190894d96b282eadb8611f05b5b1c93224ed3a8ea53","observation_id":"bc616e4d-d3e9-475d-a4aa-0ea34d6643d7","resolution":{"observed_at":"2026-08-10T18:28:24.259827Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.04456","last_updated":"2025-04-12T18:29:49Z","snapshot_observed_at":"2026-08-16T13:36:49.005832Z","submitted_at":"2024-07-05T12:08:01Z","title":"$\\beta$-dimensional sharp maximal function and applications","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.04456","snapshot_observed_at":"2026-08-10T18:28:24.263905Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.263905Z"},"links":{"cited_paper":"/paper/2407.04456","citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:c9d5dee3dd56cc91c893f70e94fe0a60c3f9a3007ad1c3b4fc5e2e2f8e827500","observation_id":"a0f3ec7a-411c-4e22-b787-dcbef124a1d3","resolution":{"observed_at":"2026-08-10T18:28:24.263905Z","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":"2026-08-10T18:28:24.901054Z","title":"↑1, 3, 6, 7, 19, 20 28 R","venue":null,"work_id":"1e827d9b-f68a-4357-aae1-ee24eef41311","year":2023},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.268408Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:abab56a737e8cc9cd3c1a3753a24dadcad89c014d6552c1de70acc43f5ee0c86","observation_id":"fbafe151-dbb4-42e1-bf2a-03f088f7d2ec","resolution":{"observed_at":"2026-08-10T18:28:24.906846Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T18:28:24.884478Z","title":"Choquet, Theory of capacities , Ann","venue":null,"work_id":"5e616117-e3db-4d97-bfdf-8afdc983218e","year":1955},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.272218Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:c143f8d8c9d591a216f0b029161153cbe5bac227097e8ed5d75e59488694b88f","observation_id":"b50a918f-66ba-4e2c-a259-a1423590b3f9","resolution":{"observed_at":"2026-08-10T18:28:24.889124Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.08152","last_updated":"2023-05-26T11:53:52Z","snapshot_observed_at":"2026-08-16T16:38:43.644716Z","submitted_at":"2022-08-17T08:33:35Z","title":"Distortion of Hausdorff measures under Orlicz--Sobolev maps","version":2},"cited_work":{"arxiv_id":"2208.08152","doi":null,"metadata_source":"pith","pith_arxiv_id":"2208.08152","snapshot_observed_at":"2026-08-10T18:28:24.716524Z","title":"Distortion of Hausdorff measures under Orlicz--Sobolev maps","venue":"math.AP","work_id":"d7cffe8f-c666-4de1-8810-189c7aaeefc3","year":2022},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.276373Z"},"links":{"cited_paper":"/paper/2208.08152","citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:1a879fa4de47873ed46d471ed498b606caf82e4782b93f9bbfe0e66093ba65d9","observation_id":"f23805bc-ee79-448e-88da-d7f528ea5bae","resolution":{"observed_at":"2026-08-10T18:28:24.721489Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.matpur.2020.05.002","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.591064Z","title":"Ferone, M","venue":null,"work_id":"d1345f55-b5f2-4e55-ba6e-8005a1c63972","year":2020},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.280877Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:715f9f03e0ef828a602e00c9c8cd0d0392566c00f909df52f1d092eb6d34c268","observation_id":"a4c2227c-1247-4f48-92b7-4d0359dd0624","resolution":{"observed_at":"2026-08-10T18:28:24.595591Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.284840Z","title":"Harjulehto and R","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.284840Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:f84e99af90bd7f3f61760f6d42edca39c5463d5d746bc30556635979fd73b561","observation_id":"5ab524f1-f332-4c76-bdc4-6cf89088e6ac","resolution":{"observed_at":"2026-08-10T18:28:24.284840Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.293167Z","title":"4, 1379–1399, DOI 10.1007/s44007-024-00131-z","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.293167Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:e59ea829cb1abaf48b65b75a6655d5c8b3a9441a77adb360f05b5c11ffeab789","observation_id":"530c4ff9-daf3-4ede-ac0e-591e87941f89","resolution":{"observed_at":"2026-08-10T18:28:24.293167Z","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":"10.1017/s000497272400011x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.557828Z","title":"Hatano, R","venue":null,"work_id":"24b2cd64-c467-462a-a908-2b387564b77a","year":2024},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.297086Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:56614c8aaa6ce1cca0e7d11977a3bd83b3329fb1272e3dce086c466a35f3515a","observation_id":"d4630df0-b569-4264-9ae3-a7fc460a8420","resolution":{"observed_at":"2026-08-10T18:28:24.563403Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[{"edge_observation":{"observed_at":"2026-08-11T00:18:03.463689+00:00","source":"paper_reference_links","state":"open"},"event_date":"2024-10-04","event_type":"correction","notice_doi":"10.1017/s0004972724000741","provenance":{"observed_at":"2026-07-11T02:56:21.001636+00:00","source":"crossref","source_record_id":"10.1017/s0004972724000741->10.1017/s000497272400011x:correction"}}],"reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T18:28:24.847850Z","title":null,"venue":null,"work_id":"de3fc1bf-a437-4010-af66-6e2dc72aaeaa","year":2015},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.302110Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:47db04ef7609610a05e1e1583a4d74daf937b48ca0c4a948d769f9f30c77991d","observation_id":"5317ddc1-4b60-42de-a77f-08a42e0be354","resolution":{"observed_at":"2026-08-10T18:28:24.852617Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T18:28:24.834605Z","title":"Grafakos, Classical Fourier analysis , 3rd ed., Graduate Texts in Mathematics, vol","venue":null,"work_id":"ac56e4ee-095b-4cfe-b01d-4280068a1acb","year":2014},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.305840Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:fdfacc6c858f745dfd64b4114feb91e42c019aef80993d07af477e4bc747d49e","observation_id":"a0d75f17-9e33-49db-91c6-feb47b7e347c","resolution":{"observed_at":"2026-08-10T18:28:24.839157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.309450Z","title":"John and L","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.309450Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:e023631c35a96e713976014659eb41a89f29083a277020ad72d6c68db500030a","observation_id":"3fb0af94-24ec-4581-a7b2-2d0ea937fd15","resolution":{"observed_at":"2026-08-10T18:28:24.309450Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.313147Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.313147Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:3a166c0d7780438570e462660b8ad64f6dc1b88e3a84772b8da12888b36e6d39","observation_id":"0c5db17c-bde6-4874-90a6-f48d19b9a653","resolution":{"observed_at":"2026-08-10T18:28:24.313147Z","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":"2026-08-10T18:28:24.821376Z","title":null,"venue":null,"work_id":"4a36cd37-f84b-46d4-918e-d047778b0aa7","year":1972},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.317031Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:167a40726a223630a1671216be4a129347af9d9d75fca6ef02d1eb5dc1dba7ac","observation_id":"adce3fc1-c65f-4c72-90e8-134261c0b488","resolution":{"observed_at":"2026-08-10T18:28:24.825374Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T18:28:24.807141Z","title":null,"venue":null,"work_id":"61da286e-31aa-4e61-9cbc-1b9c8c182fde","year":1972},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.320553Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:8eff65c85d82c227c14702417eadf5f7c69529c29e98073b6b227154a1191091","observation_id":"f71360ff-921a-4724-b95a-f39c1160dfbc","resolution":{"observed_at":"2026-08-10T18:28:24.811713Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.324093Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.324093Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:18bd1958b6ab5ac142ee5d8e747b50691ebef4d8a0d086c814a2b783cb21f091","observation_id":"20a19145-62ba-4f7f-ac1b-938b0ad21008","resolution":{"observed_at":"2026-08-10T18:28:24.324093Z","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":"10.7146/math.scand.a-10981","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.518290Z","title":null,"venue":null,"work_id":"4a3b7946-c46d-41c2-b45d-cb8cf75ad10f","year":1970},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.327816Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:c64570679a340b2950666098f4a79af06699759f27707dad884ba4767e12a503","observation_id":"cd92251f-ed04-4851-af6a-a140e26c5bff","resolution":{"observed_at":"2026-08-10T18:28:24.522670Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00208-021-02227","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.504052Z","title":null,"venue":null,"work_id":"d14e5537-ff22-4c80-a389-32394c754ab4","year":2022},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.331986Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:013075e046a5bb818205e2858ac84eac236f0b7795d7907f87792d25f9746e2e","observation_id":"bbcc74b7-55d6-4707-b1ae-ab6d113f09b9","resolution":{"observed_at":"2026-08-10T18:28:24.508995Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4171/rmi/1285","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.490200Z","title":null,"venue":null,"work_id":"23b14dfe-043e-45fc-b58d-c593604f9581","year":2022},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.335926Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:77b7e6f47ffe97322f107c102b9141766ac36ef24ba1b10f5c9ff4a46550b395","observation_id":"5b1eff06-e7f8-4b07-a846-9ec23a87ed41","resolution":{"observed_at":"2026-08-10T18:28:24.494979Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.339828Z","title":"Orobitg and J","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.339828Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:becf3ad3afd3e7b7c322ddf81a1bac2a26a391c36ea7492f2f5ac6baa43e3c4c","observation_id":"cf41c3ff-8b8f-40dd-ac72-5234fd6ba621","resolution":{"observed_at":"2026-08-10T18:28:24.339828Z","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":"2026-08-10T18:28:24.791086Z","title":null,"venue":null,"work_id":"80ccc7cc-2814-4c05-8c1a-aa879e003c51","year":2023},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.343810Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:bb60a38cad5a1728ef8f2398134db8b6ec9ca2d3c93571cef1bdb15fea56e682","observation_id":"4f22bee1-d6b2-4af8-9597-4b134effcb1a","resolution":{"observed_at":"2026-08-10T18:28:24.796480Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T18:28:24.776620Z","title":null,"venue":null,"work_id":"4d3234ee-7daf-4cc2-84fd-6eafb63636d2","year":2020},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.347631Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:c6078bdf934643cfe7c9cafd5e1d2341bfdce3307ceeed68688f79d382b9e3c6","observation_id":"ed5e8838-fa85-4026-b3e4-3e642537e9df","resolution":{"observed_at":"2026-08-10T18:28:24.781172Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4064/sm210415-29-1","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.453022Z","title":"Saito and H","venue":null,"work_id":"52ed09bf-f4a1-44bd-8c9d-e7baa94d4ec3","year":2022},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.351500Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:75fc2d22621b50656051c4ecba99e76632d9afdc8c8ce3ae48b67690d03855ca","observation_id":"6b5dc972-c2bc-45d8-913c-64eb9b1c1fd3","resolution":{"observed_at":"2026-08-10T18:28:24.457280Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.355588Z","title":"Saito, H","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.355588Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:674a9071c17db72f72541ecf8498608ec45d9a4980262cf7d78f907ab115df2c","observation_id":"37504803-b4aa-4cfb-821d-b272d9e698ad","resolution":{"observed_at":"2026-08-10T18:28:24.355588Z","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":"10.4153/s000843951900033x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.430746Z","title":null,"venue":null,"work_id":"b50937d9-1a3a-4a7a-a730-375bb7779c8b","year":2020},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.359485Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:117932fbad4a69614702fa2a61366241958c2963302a6fe9d7c4aace3c26265e","observation_id":"d8e8e585-58ad-40b6-a581-91bc337b8131","resolution":{"observed_at":"2026-08-10T18:28:24.435009Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11117-018-0598-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-19T11:03:45.297681Z","title":"1, 125– 138, DOI 10.1007/s11117-018-0598-x","venue":"Positivity","work_id":"9aa87913-8ebe-4ce5-b2f0-3b7c3096dfe2","year":2019},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.363669Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:ec11098ac7bdf8a11cd939dc2f84bf65b50a74af0ae342541beb0e65bd6f5afa","observation_id":"f90412e9-f983-41bb-8bea-6f9cb27aca79","resolution":{"observed_at":"2026-08-10T18:28:24.421121Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T18:28:24.761288Z","title":null,"venue":null,"work_id":"c6439861-18cc-4b8b-b106-ca24b7e55240","year":1970},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.367860Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:76c3294ca3b117be2ac72c5a9f2dc6995df90ec709ff6450d024fcd8fa42298a","observation_id":"3486a6cd-fd38-46d4-9172-055700d8ba5b","resolution":{"observed_at":"2026-08-10T18:28:24.766021Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+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":"2026-08-10T18:28:24.746865Z","title":"43, Princeton University Press, Princeton, NJ, 1993","venue":null,"work_id":"6320d7bb-a60d-4627-83b6-c077c13275ff","year":1993},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.371914Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:4878990d1ff935046bfcdc1a3e30a43556e22cf65bbace5691eb8dd37848071c","observation_id":"71dea8e9-136f-4cb9-bce6-c023a559554d","resolution":{"observed_at":"2026-08-10T18:28:24.751612Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T18:28:24.376037Z","title":"Yang and W","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.376037Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:fcebe886ae2eaac0ddde8e724a425d50408a40828d1f64ab668a733ba7c65bc7","observation_id":"b94431b8-fa9e-4dca-a0c8-1e5ed5947de4","resolution":{"observed_at":"2026-08-10T18:28:24.376037Z","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":"2026-08-10T18:28:24.865216Z","title":null,"venue":null,"work_id":"0e4ba6c6-11c6-4618-a5b6-46bbcc2bfcf2","year":2023},"citing_paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-10T18:28:24.288773Z"},"links":{"citing_paper":"/paper/2501.11412"},"observation_digest":"sha256:b3495042349aee1ec562b7f6aa80f6b8cfe264d6647f8aa9a08299973b8952fb","observation_id":"4bb6e2a7-eeb6-48ed-82cf-0c54ba9c2a1b","resolution":{"observed_at":"2026-08-10T18:28:24.870269Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.11412","last_updated":"2025-01-20T11:25:30Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-17T21:25:29.708360Z","submitted_at":"2025-01-20T11:25:30Z","title":"The Capacitary John-Nirenberg Inequality Revisited"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":15,"verified_fuzzy":3},"total_outbound_references":39},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2501.11412."}