{"as_of":"2026-08-17T23:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c99ef2ec94eabc8b7e3d3ef7b0da4a9c02f6fa9e954d7554ac1b5add0b4b48c0","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":"2026-08-06T22:04:29.046691Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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":"2026-05-10T12:59:02.131162Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-10T13:00:24.397509Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_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},"cited_work":{"arxiv_id":"2506.23206","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.23206","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"B., Roychowdhury, P.: Uncentered fractional maximal functions and mean oscillation spaces associated with dyadic Hausdorffcontent","venue":null,"work_id":"614e9bb3-e280-41ce-8c8c-313269b326d1","year":null},"citing_paper":{"arxiv_id":"2604.13732","last_updated":"2026-04-15T11:16:19Z","snapshot_observed_at":"2026-08-17T15:31:17.312172Z","submitted_at":"2026-04-15T11:16:19Z","title":"A note on Sobolev inequalities in the lower limit case","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T12:59:02.131162Z"},"links":{"cited_paper":"/paper/2506.23206","citing_paper":"/paper/2604.13732"},"observation_digest":"sha256:b7aca8dc1e5b7c608faace36334d48a3f6e6b51dbbc4e5759bb165bb7f5ddd10","observation_id":"84373ffa-167c-4858-b19c-66b11b21feb5","resolution":{"observed_at":"2026-05-10T13:00:24.398972Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.23206/citation-record","integrity":"/paper/2506.23206/integrity","json":"/paper/2506.23206/citation-record.json","paper":"/paper/2506.23206"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:35.398138Z","title":null,"venue":null,"work_id":"fd1dcf19-213f-460e-b4a3-1b859a422ec3","year":1975},"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":1,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:26.824404Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:659d5e2f5b6bfeff01daac71d3140adcaf4cbe01831e9d6346218718afe5a973","observation_id":"8983b9e3-97a7-43a1-9c3e-23ffe58043a7","resolution":{"observed_at":"2026-08-06T22:04:35.512246Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:26.871040Z","title":null,"venue":null,"work_id":null,"year":1998},"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":2,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:26.871040Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:f3dd9b87b93d84c423d3c90155257e638bc6acfeacac45d699d6986da856298c","observation_id":"419c72b2-de65-4f31-bae8-2059efc96e43","resolution":{"observed_at":"2026-08-06T22:04:26.871040Z","resolver_source":null,"status":"malformed_identifier"},"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.1973.22.22075","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"II, Indiana Univ","venue":"Indiana University Mathematics Journal","work_id":"3f65a5b9-244e-420b-8c42-a8780fb48433","year":1972},"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":3,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:26.969388Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:db5c49e2cbd5233b56252cfa15a48791fd150fadfca820daf1993b139ea6ec66","observation_id":"7e867e17-b5fd-482e-836d-255dc859246b","resolution":{"observed_at":"2026-08-06T22:04:32.237381Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"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":"sha256:9f8a220e50fda8f47ea81c790769dd9371226ad75b553246a83c022bed8f1bfe","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 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:27.162880Z","title":"Bennett, Another characterization of BLO , Proc","venue":null,"work_id":null,"year":1982},"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":5,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.162880Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:6f8ab9a46fc3754b889da0429b3d61c34f8ec4d32fc98917f0df2e055fbd7813","observation_id":"76f1b9d0-2611-4450-97b0-9641b80ff298","resolution":{"observed_at":"2026-08-06T22:04:27.162880Z","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":"2026-08-06T22:04:27.225119Z","title":"Bennett, R","venue":null,"work_id":null,"year":1981},"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":6,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.225119Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:9ea8761f9895659e7c66e86a9e635d659c34587d2344f9a0424c512b80809caf","observation_id":"3b0de184-6195-4b80-95e8-309f375de104","resolution":{"observed_at":"2026-08-06T22:04:27.225119Z","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":"2026-08-06T22:04:27.346705Z","title":"Br ´ezis and L","venue":null,"work_id":null,"year":1983},"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":7,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.346705Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:d66832dc6afe4149c350dfc1eed3cf468f2b21ec77a279770f6a91de078612a2","observation_id":"24e0a03a-0795-4a3a-b3e0-d90b9a162a4a","resolution":{"observed_at":"2026-08-06T22:04:27.346705Z","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":"2026-08-06T22:04:27.444033Z","title":"Cerd `a, J","venue":null,"work_id":null,"year":2011},"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":8,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.444033Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:c16bbd16fa2233f290deb0b345683440f268930b8aca3f0da735c47b54da4a67","observation_id":"c155c4d7-33e0-4a00-8090-cef5083b6309","resolution":{"observed_at":"2026-08-06T22:04:27.444033Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-06T22:04:27.512022Z","title":null,"venue":null,"work_id":null,"year":null},"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":9,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.512022Z"},"links":{"cited_paper":"/paper/2407.04456","citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:3aef00abab581f94acfdd4443ba40556a0a63ccc58716a600d3a0b27c0f2e6db","observation_id":"2a9eade5-41ec-40ea-9d51-d20b8f386cb7","resolution":{"observed_at":"2026-08-06T22:04:27.512022Z","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":"2026-08-06T22:04:27.615069Z","title":null,"venue":null,"work_id":null,"year":2024},"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":10,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.615069Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:68855ab3cdc66379645370970447a78ddcf11311f99319fe6cac2ad81e5c0f09","observation_id":"ccbaf67d-c50b-4d2f-920d-d815e1dc09cc","resolution":{"observed_at":"2026-08-06T22:04:27.615069Z","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":"10.1515/acv-2022-0084","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Advances in Calculus of Variations","work_id":"c40de690-96c1-4cc9-ae88-f47600330124","year":2024},"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":11,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.655002Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:4da6cbb060a15b4b2b5a0c7c3c1dfbb5af394f45bdc48232bf46c92b64ac97e3","observation_id":"f54e0084-a361-442d-86ce-c0283210008f","resolution":{"observed_at":"2026-08-06T22:04:32.035872Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:27.742302Z","title":"Chiarenza, M","venue":null,"work_id":null,"year":1993},"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":12,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.742302Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:836f840defb0555a9dd622bcf95d19d079790a2f8936afe7bc1da405f84cd3f3","observation_id":"5c83c559-62d9-408f-bdd5-abca5468e1a6","resolution":{"observed_at":"2026-08-06T22:04:27.742302Z","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":"10.1016/j.aim.2007.09.007","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Cianchi, Moser-Trudinger trace inequalities, Adv","venue":"Advances in Mathematics","work_id":"e35d06bc-0719-48ea-97ef-176c3d4668eb","year":2008},"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":13,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.789419Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:0cde5ee38fc4d600075b68420dc3e573a9c673f67b036404521cd10232548c30","observation_id":"1295f80c-f382-4d4d-9668-ba4a85c16e11","resolution":{"observed_at":"2026-08-06T22:04:31.758437Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:27.829902Z","title":null,"venue":null,"work_id":null,"year":1976},"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":14,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.829902Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:e33e7eb5c3260a9a13749f564971d165431ec9a7e445ea0880514bf89a593d94","observation_id":"da321cbd-6235-4de9-8fa3-1cebb6da4a6a","resolution":{"observed_at":"2026-08-06T22:04:27.829902Z","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":"2025.12930","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:33.890529Z","title":null,"venue":null,"work_id":"70b8d618-3c0b-4a88-843a-afd3d99ee2ff","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":15,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.876040Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:4f617827697042608fb396aa6918cff36e993d24d6e899b6d9c1590485add85a","observation_id":"2b3aa1de-81d9-466c-bcce-6e0618dad2f9","resolution":{"observed_at":"2026-08-06T22:04:34.018138Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2023.11012","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:33.563226Z","title":"Gibara and J","venue":null,"work_id":"4d939ca9-9c40-449d-bc44-aa80fc7a1486","year":2023},"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":16,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.934670Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:0622a91edcb13d61b5291b654eb6ae42f037b65d3b04df40fc8d26f2cbaa0a03","observation_id":"7d7ff0fc-1dbf-4c4c-84fa-292d67c0136e","resolution":{"observed_at":"2026-08-06T22:04:33.692765Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.16827","last_updated":"2025-04-23T15:43:52Z","snapshot_observed_at":"2026-08-16T10:52:35.289802Z","submitted_at":"2025-04-23T15:43:52Z","title":"Endpoint boundedness of singular integrals: CMO space associated to Schr\\\"odinger operators","version":1},"cited_work":{"arxiv_id":"2504.16827","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.16827","snapshot_observed_at":"2026-08-06T22:04:33.200538Z","title":"Endpoint boundedness of singular integrals: CMO space associated to Schr\\\"odinger operators","venue":"math.CA","work_id":"47c42a17-ce6d-46c9-870e-765aafb78aec","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":17,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:27.968688Z"},"links":{"cited_paper":"/paper/2504.16827","citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:f76af6f0213d51f8d16aa8ce5dee542f6b31efdd25772d1404bb3b29804e34b8","observation_id":"0588f5dd-3440-411c-aed4-d5bd1552af5d","resolution":{"observed_at":"2026-08-06T22:04:33.328739Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2478/agms-2013-0002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Heikkinen, J","venue":"Analysis and Geometry in Metric Spaces","work_id":"a062713f-521b-448a-a1ca-64d7286752f4","year":2013},"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":18,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.013576Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:f21d72c4cfe500ceaa4547cac4db700d3d0e9044957f354a03b582440279ce58","observation_id":"cc53d09d-dc87-443f-9c11-3a5554eee4db","resolution":{"observed_at":"2026-08-06T22:04:31.504060Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.12113","last_updated":"2024-05-20T15:28:56Z","snapshot_observed_at":"2026-08-17T20:51:36.946162Z","submitted_at":"2024-05-20T15:28:56Z","title":"On Hausdorff content maximal operator and Riesz potential for non-measurable functions","version":1},"cited_work":{"arxiv_id":"2405.12113","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.12113","snapshot_observed_at":"2026-08-06T22:04:32.928885Z","title":"On Hausdorff content maximal operator and Riesz potential for non-measurable functions","venue":"math.FA","work_id":"72a5861d-d95d-4abb-a82c-85bcc6228b0b","year":2024},"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":19,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.062252Z"},"links":{"cited_paper":"/paper/2405.12113","citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:8d70ac9d0f3f14d7d7871b7ad25e82dc5e1896f7695203d138b017ae7077fa6f","observation_id":"95efe106-b85c-4031-815b-f1641efbdc86","resolution":{"observed_at":"2026-08-06T22:04:33.036266Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00208-008-0295-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Hofmann and S","venue":"Mathematische Annalen","work_id":"777312c9-abb3-4f80-b84a-a0d208d46370","year":2009},"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":20,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.104322Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:a8cb6233c3129dde6ac6e8d1b5750ef1648d8302e0c57170485a4600b19a2006","observation_id":"23ba9cb9-ad5e-41c3-8347-394087635f93","resolution":{"observed_at":"2026-08-06T22:04:31.288875Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:28.148719Z","title":"John and L","venue":null,"work_id":null,"year":1961},"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":21,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.148719Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:98177e671ebf8e66d4f489079fe06e6be2ee8cac03846e7380f40f9328c58a0d","observation_id":"83e4fc17-2ca5-4360-9a25-b9f0269963df","resolution":{"observed_at":"2026-08-06T22:04:28.148719Z","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":"2026-08-06T22:04:35.177120Z","title":null,"venue":null,"work_id":"64ae2090-207d-47a9-9736-e1697d47bbf3","year":1961},"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":22,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.210689Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:7e92d7cf4ba3f766a71ea9717b950c9eb1f78b0dae638c419b5177dd1259883d","observation_id":"7b00a471-fea3-4231-896c-dcd35612a9d5","resolution":{"observed_at":"2026-08-06T22:04:35.282675Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2502.05882","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:32.707919Z","title":null,"venue":null,"work_id":"831af220-c574-429a-9a40-c76671786163","year":null},"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":23,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.252564Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:a521a55af2ded7716c27a3c1e1eb151918dc699e136aad265c2db0b93759c28d","observation_id":"2cac7606-6893-4acb-8170-bcc45244ab51","resolution":{"observed_at":"2026-08-06T22:04:32.768280Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:28.316104Z","title":"Kinnunen and E","venue":null,"work_id":null,"year":2003},"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":24,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.316104Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:892e2e25f66ce3b4ecf26ea6120c8ee385760abedbb5b3e721c4c1637a3b59c3","observation_id":"86e91db2-7be0-4c5d-b61d-4cbb9b3624d7","resolution":{"observed_at":"2026-08-06T22:04:28.316104Z","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":"2026-08-06T22:04:28.365795Z","title":null,"venue":null,"work_id":null,"year":2021},"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":25,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.365795Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:585c2cb1c283c8f3bbf2ef533793bcd61ca32c544ff11e7dfd2470ce9b86a28f","observation_id":"e4072e9c-fe09-4b22-92fc-bf78a1feba05","resolution":{"observed_at":"2026-08-06T22:04:28.365795Z","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":"10.1016/j.jmaa.2019.01.034","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Musil, Fractional maximal operator in Orlicz spaces , J","venue":"Journal of Mathematical Analysis and Applications","work_id":"31f2a77d-406a-4d17-93af-8002f6174ad5","year":2019},"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":26,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.400259Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:47bcf8450ba5fbd1d2a0538dc4228c35f23a3794572e71ee2f58fee4b7756fba","observation_id":"58003786-a1e1-48c2-9615-d70b85003d81","resolution":{"observed_at":"2026-08-06T22:04:31.020643Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00208-022-02369-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Nowak, Improved Sobolev regularity for linear nonlocal equations with VMO coefficients , Math","venue":"Mathematische Annalen","work_id":"655584ff-118b-4746-a82b-9a241be7bbb9","year":2023},"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":27,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.453664Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:b3e71b14ac72bb45620e80df865d71097dfbf932eba487cf83a75d9f1d9eceb8","observation_id":"81ba443b-d49e-47d3-94f9-d334156b370c","resolution":{"observed_at":"2026-08-06T22:04:30.783479Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/s0024609397003688","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Orobitg and J","venue":"Bulletin of the London Mathematical Society","work_id":"3f7bb91a-4505-4a9c-933a-a50ba8459482","year":1998},"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":28,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.511812Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:47fda5b3b9b8abd8b67a1970901f74b7e81870ef0eb3eec485f0123b67d5816f","observation_id":"b13735ec-7e90-4879-ae8e-37b773361911","resolution":{"observed_at":"2026-08-06T22:04:30.530467Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:34.919042Z","title":null,"venue":null,"work_id":"bb053878-36ef-4b26-ad2f-7fa885666e57","year":2023},"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":29,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.543775Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:e54c907c1ed1794cc0a2abcfa13d8c5fec6d3b6e3096a037930cc6597a7e33e8","observation_id":"3caeae30-b101-4770-8cb7-a3fffb222c43","resolution":{"observed_at":"2026-08-06T22:04:35.047277Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.00293","last_updated":"2024-11-01T01:05:51Z","snapshot_observed_at":"2026-08-16T13:03:55.946096Z","submitted_at":"2024-11-01T01:05:51Z","title":"On sharp constants in higher order Adams-Cianchi inequalities","version":1},"cited_work":{"arxiv_id":"2411.00293","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.00293","snapshot_observed_at":"2026-08-06T22:04:32.369466Z","title":"On sharp constants in higher order Adams-Cianchi inequalities","venue":"math.AP","work_id":"b2b212de-8357-407d-a4c0-6d414cc4a078","year":2024},"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":30,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.575343Z"},"links":{"cited_paper":"/paper/2411.00293","citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:955e6ba681ea80724cd94471f07eaa467267344cf5999a9607b77a8ca07702d7","observation_id":"fbcfb169-2003-445c-bf64-de04c6e45a36","resolution":{"observed_at":"2026-08-06T22:04:32.445337Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.bulsci.2016.02.001","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Saito, H","venue":"Bulletin des Sciences Mathématiques","work_id":"f78e2a80-de58-4681-a884-dae5f3299279","year":2016},"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":31,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.633689Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:d55c7f00a229849e2217ffb02a5ce2c3a55dde7547f360d8746a7429807812ac","observation_id":"61c51445-915d-40f3-ae86-7376fc103601","resolution":{"observed_at":"2026-08-06T22:04:30.234056Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:34.689084Z","title":"Sarason, Functions of vanishing mean oscillation , Trans","venue":null,"work_id":"98371c32-dec4-483c-9374-612667b6ef04","year":1975},"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":32,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.674516Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:848414dc8840730e12db29dbb77c04b0750c40af52e95fcd7a480a87d54b4a2c","observation_id":"9ffb657d-b33b-4858-bfdd-6beefeaffeb8","resolution":{"observed_at":"2026-08-06T22:04:34.786647Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4064/sm-75-1-1-11","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Studia Mathematica","work_id":"9d24c167-fa2f-432a-a5e7-20c8e7564dd9","year":1982},"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":33,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.716105Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:cd5e87aa3d63874ae1ff7baa0a37a30c728e21af23470701475d2c57325c7039","observation_id":"5cde60d0-7a13-4e93-8573-7c0910df0ac5","resolution":{"observed_at":"2026-08-06T22:04:30.018813Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00209-022-02969-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Weigt, Endpoint Sobolev bounds for fractional Hardy-Littlewood maximal operators , Math","venue":"Mathematische Zeitschrift","work_id":"24bf9e04-9c74-400a-b253-b419ffd26da4","year":2022},"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":34,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.776734Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:782496dc9082342db07663824be782e97c93994ec7d8c061e98ebe09a4540d82","observation_id":"60087df6-9c30-4884-a54f-7d8c856bd4ff","resolution":{"observed_at":"2026-08-06T22:04:29.777730Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4153/s000843952300053x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Shaabani, Maximal operators on BMO and slices , Canad","venue":"Canadian Mathematical Bulletin","work_id":"c3f0885d-5c2c-4bfb-a9a1-0d664b8464e7","year":2024},"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":35,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.836803Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:7948b42bbe6b09f7f8c98d96914beac5030e20b42ae95a75de67031b260e3e22","observation_id":"43849e15-57bb-401f-80b8-9ceefc9a8697","resolution":{"observed_at":"2026-08-06T22:04:29.587376Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/mana.201700318","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Mathematische Nachrichten","work_id":"a9069a25-1561-480c-9236-236533ea1e13","year":2018},"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":36,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.887421Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:9f85f2719eb8f59c95c231860491799d8c6612274a7419cb714b3c1644922c2c","observation_id":"d42ace18-2a49-45e2-a604-c7c7bcfd9ac8","resolution":{"observed_at":"2026-08-06T22:04:29.417827Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:04:34.454910Z","title":null,"venue":null,"work_id":"5be3631a-15a5-42e9-b7ac-7f67b9cd766e","year":2015},"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":37,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.938348Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:bfe0ab9922e2c50316800660e1ae61c1d3a54eed35f433f33fd38cb5f3399350","observation_id":"213876a3-34dd-45f2-af86-ceb5f577d09b","resolution":{"observed_at":"2026-08-06T22:04:34.554495Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10255-020-0983-z","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T00:03:40.895421Z","title":"Wu and D.-y","venue":"Acta Mathematicae Applicatae Sinica English Series","work_id":"2ef9dbaf-e6a7-4e79-9286-7b536ebbc667","year":2020},"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":38,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:28.990665Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:a814ecb7890686dae457dee0161eeacfcd88d52ba57292eba076f9028cca1f1f","observation_id":"709b0cb2-ce30-461e-96e0-8e2d61cf1a7d","resolution":{"observed_at":"2026-08-06T22:04:29.244782Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.bulsci.2007.06.005","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Yang and W","venue":"Bulletin des Sciences Mathématiques","work_id":"4db2762c-c6f3-4600-b2e7-89a12093d523","year":2008},"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":39,"source":"pdf_text","source_observed_at":"2026-08-06T22:04:29.046691Z"},"links":{"citing_paper":"/paper/2506.23206"},"observation_digest":"sha256:81d639a0e482d291b1622fea6d46579a41b5716c3c1bee3f06179975f5a266b0","observation_id":"49d40c3e-3d3e-4cb4-a32e-227ff1e84597","resolution":{"observed_at":"2026-08-06T22:04:29.152330Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.23206","last_updated":"2025-06-29T12:25:10Z","latest_version":1,"primary_category":"math.FA","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"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":3,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":14,"verified_exact":20,"verified_fuzzy":0},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2506.23206."}