{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RLF2HCZ6WSQ6KK6EXWCNTQVQKH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"dda0e6d101db3463f0a61d1caaad220c71ad02bb8b26c9534e95bb64e33c93e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-02-09T19:00:27Z","title_canon_sha256":"84f0a7b52152836419dda8a6a054d64852b5b06efe42ed7ac998547fb2bd7fbd"},"schema_version":"1.0","source":{"id":"1302.2252","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2252","created_at":"2026-05-18T03:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2252v1","created_at":"2026-05-18T03:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2252","created_at":"2026-05-18T03:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"RLF2HCZ6WSQ6","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RLF2HCZ6WSQ6KK6E","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RLF2HCZ6","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:b0b936f0d7612e7e2047fe4e72375f85800f5aa16c276e623ed94db52d646ae6","target":"graph","created_at":"2026-05-18T03:34:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this note we describe some recent advances in the area of maximal function inequalities. We also study the behaviour of the centered Hardy-Littlewood maximal operator associated to certain families of doubling, radial decreasing measures, and acting on radial functions. In fact, we precisely determine when the weak type $(1,1)$ bounds are uniform in the dimension.","authors_text":"J. M. Aldaz, J. P\\'erez L\\'azaro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-02-09T19:00:27Z","title":"On high dimensional maximal operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2252","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:cf56ee1040a544b0982492b4c8a4bc039fab8eaf185755f2bc24330336a265b8","target":"record","created_at":"2026-05-18T03:34:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"dda0e6d101db3463f0a61d1caaad220c71ad02bb8b26c9534e95bb64e33c93e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-02-09T19:00:27Z","title_canon_sha256":"84f0a7b52152836419dda8a6a054d64852b5b06efe42ed7ac998547fb2bd7fbd"},"schema_version":"1.0","source":{"id":"1302.2252","kind":"arxiv","version":1}},"canonical_sha256":"8acba38b3eb4a1e52bc4bd84d9c2b051fc95364d23283b265a62cd122c0b5a7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8acba38b3eb4a1e52bc4bd84d9c2b051fc95364d23283b265a62cd122c0b5a7b","first_computed_at":"2026-05-18T03:34:01.869424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:01.869424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6ynM00nFjr7nVoZBbBdy4i+03Y5oUt6l9yje50/bjsJ89phKOJrqT5EaxDQlwaw5vASfvQopDp55haljKpGeAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:01.870136Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.2252","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf56ee1040a544b0982492b4c8a4bc039fab8eaf185755f2bc24330336a265b8","sha256:b0b936f0d7612e7e2047fe4e72375f85800f5aa16c276e623ed94db52d646ae6"],"state_sha256":"bc4a21531c697937a3c4ab45348d2e602589f285c3ed1c1684fd27e93290817c"}