{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YR4BYJ3YEKAKAUZYE4FMOCWUNM","short_pith_number":"pith:YR4BYJ3Y","canonical_record":{"source":{"id":"1302.5551","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-22T11:09:55Z","cross_cats_sorted":[],"title_canon_sha256":"fdeb74d3bc164c718ddc8f114582c5a89541d865f44b8ca7e92dc87466fee988","abstract_canon_sha256":"1f5b0a8a62cdd3dd5074b14f1020359ca6cd36272138d60d2bd298eec486082f"},"schema_version":"1.0"},"canonical_sha256":"c4781c27782280a05338270ac70ad46b096d0da3c356924822b0f9c38838306f","source":{"kind":"arxiv","id":"1302.5551","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5551","created_at":"2026-05-18T03:32:46Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5551v1","created_at":"2026-05-18T03:32:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5551","created_at":"2026-05-18T03:32:46Z"},{"alias_kind":"pith_short_12","alias_value":"YR4BYJ3YEKAK","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YR4BYJ3YEKAKAUZY","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YR4BYJ3Y","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YR4BYJ3YEKAKAUZYE4FMOCWUNM","target":"record","payload":{"canonical_record":{"source":{"id":"1302.5551","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-22T11:09:55Z","cross_cats_sorted":[],"title_canon_sha256":"fdeb74d3bc164c718ddc8f114582c5a89541d865f44b8ca7e92dc87466fee988","abstract_canon_sha256":"1f5b0a8a62cdd3dd5074b14f1020359ca6cd36272138d60d2bd298eec486082f"},"schema_version":"1.0"},"canonical_sha256":"c4781c27782280a05338270ac70ad46b096d0da3c356924822b0f9c38838306f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:46.417505Z","signature_b64":"AJ6sn4NQ45YZ7FmK6yNdfVUHgWB5QUEffb4lfBdlkUR5hnTMupAvmEhMWEQYkOTf6Kbyk+3GfZxHJRKNfGOHCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4781c27782280a05338270ac70ad46b096d0da3c356924822b0f9c38838306f","last_reissued_at":"2026-05-18T03:32:46.416934Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:46.416934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.5551","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:32:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pYkOAXWy2n8oku3rRF5sSuSZpndHoW3lsTOvYNjl9Ra6p2UkCWIvODDL4T/zFBvSiqEz8GWzfTOmP/fO50CgAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T04:13:40.153761Z"},"content_sha256":"9d70d26544c47f348bc42515050d4bd217955232e1ef0cbb7210681f768d0a9c","schema_version":"1.0","event_id":"sha256:9d70d26544c47f348bc42515050d4bd217955232e1ef0cbb7210681f768d0a9c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YR4BYJ3YEKAKAUZYE4FMOCWUNM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$L^p$ estimates for the maximal singular integral in terms of the singular integral","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Anna Bosch-Cam\\'os, Joan Mateu, Joan Orobitg","submitted_at":"2013-02-22T11:09:55Z","abstract_excerpt":"This paper continues the study, initiated in the works {MOV} and {MOPV}, of the problem of controlling the maximal singular integral $T^{*}f$ by the singular integral $Tf$. Here $T$ is a smooth homogeneous Calder\\'on-Zygmund singular integral operator of convolution type. We consider two forms of control, namely, in the weighted $L^p(\\omega)$ norm and via pointwise estimates of $T^{*}f$ by $M(Tf)$ or $M^2(Tf)$\\,, where $M$ is the Hardy-Littlewood maximal operator and $M^2=M \\circ M$ its iteration. The novelty with respect to the aforementioned works, lies in the fact that here $p$ is different"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5551","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:32:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wy+XnWJ4rnJZoQiwc8juXmoe8bGBwnIzq+k22vAvD00dkkQowrJeTSwbgRHmn4qCQ8LEWQShvXH6q7Wpg6c9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T04:13:40.154356Z"},"content_sha256":"9ac6e8b9a24646b8da9f8425de90a83b30e591dc7587e6e005a9c0ddacc7bc2f","schema_version":"1.0","event_id":"sha256:9ac6e8b9a24646b8da9f8425de90a83b30e591dc7587e6e005a9c0ddacc7bc2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YR4BYJ3YEKAKAUZYE4FMOCWUNM/bundle.json","state_url":"https://pith.science/pith/YR4BYJ3YEKAKAUZYE4FMOCWUNM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YR4BYJ3YEKAKAUZYE4FMOCWUNM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T04:13:40Z","links":{"resolver":"https://pith.science/pith/YR4BYJ3YEKAKAUZYE4FMOCWUNM","bundle":"https://pith.science/pith/YR4BYJ3YEKAKAUZYE4FMOCWUNM/bundle.json","state":"https://pith.science/pith/YR4BYJ3YEKAKAUZYE4FMOCWUNM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YR4BYJ3YEKAKAUZYE4FMOCWUNM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YR4BYJ3YEKAKAUZYE4FMOCWUNM","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":"1f5b0a8a62cdd3dd5074b14f1020359ca6cd36272138d60d2bd298eec486082f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-22T11:09:55Z","title_canon_sha256":"fdeb74d3bc164c718ddc8f114582c5a89541d865f44b8ca7e92dc87466fee988"},"schema_version":"1.0","source":{"id":"1302.5551","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5551","created_at":"2026-05-18T03:32:46Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5551v1","created_at":"2026-05-18T03:32:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5551","created_at":"2026-05-18T03:32:46Z"},{"alias_kind":"pith_short_12","alias_value":"YR4BYJ3YEKAK","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YR4BYJ3YEKAKAUZY","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YR4BYJ3Y","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:9ac6e8b9a24646b8da9f8425de90a83b30e591dc7587e6e005a9c0ddacc7bc2f","target":"graph","created_at":"2026-05-18T03:32:46Z","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":"This paper continues the study, initiated in the works {MOV} and {MOPV}, of the problem of controlling the maximal singular integral $T^{*}f$ by the singular integral $Tf$. Here $T$ is a smooth homogeneous Calder\\'on-Zygmund singular integral operator of convolution type. We consider two forms of control, namely, in the weighted $L^p(\\omega)$ norm and via pointwise estimates of $T^{*}f$ by $M(Tf)$ or $M^2(Tf)$\\,, where $M$ is the Hardy-Littlewood maximal operator and $M^2=M \\circ M$ its iteration. The novelty with respect to the aforementioned works, lies in the fact that here $p$ is different","authors_text":"Anna Bosch-Cam\\'os, Joan Mateu, Joan Orobitg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-22T11:09:55Z","title":"$L^p$ estimates for the maximal singular integral in terms of the singular integral"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5551","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":"sha256:9d70d26544c47f348bc42515050d4bd217955232e1ef0cbb7210681f768d0a9c","target":"record","created_at":"2026-05-18T03:32:46Z","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":"1f5b0a8a62cdd3dd5074b14f1020359ca6cd36272138d60d2bd298eec486082f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-22T11:09:55Z","title_canon_sha256":"fdeb74d3bc164c718ddc8f114582c5a89541d865f44b8ca7e92dc87466fee988"},"schema_version":"1.0","source":{"id":"1302.5551","kind":"arxiv","version":1}},"canonical_sha256":"c4781c27782280a05338270ac70ad46b096d0da3c356924822b0f9c38838306f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4781c27782280a05338270ac70ad46b096d0da3c356924822b0f9c38838306f","first_computed_at":"2026-05-18T03:32:46.416934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:46.416934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AJ6sn4NQ45YZ7FmK6yNdfVUHgWB5QUEffb4lfBdlkUR5hnTMupAvmEhMWEQYkOTf6Kbyk+3GfZxHJRKNfGOHCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:46.417505Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5551","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d70d26544c47f348bc42515050d4bd217955232e1ef0cbb7210681f768d0a9c","sha256:9ac6e8b9a24646b8da9f8425de90a83b30e591dc7587e6e005a9c0ddacc7bc2f"],"state_sha256":"2ca6bf8a0d66cd18c59d14d30a554f378f4faf8c15947e8b0dbbb0f5f7aa82d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dx4qDhkAPAdXx5p+q/nWUdn2m+2czl605m9U7oIdAhbArnsLKn4ByaU1eabRcfHlJrTqewbTkij6jY9Mmrq7BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T04:13:40.157260Z","bundle_sha256":"5216cc6dee4cc7e56dc19ff6760164ae4c0f0d3ef66ee4c7fecc68cf6d22477a"}}