{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:K7TDPS4ROGCWG7SZFTRCGYU4LE","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":"456e3989207662da442df81636c6af808d80d70dd0acaafc2ce91198e777326e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-04-12T12:59:43Z","title_canon_sha256":"765c4b0b890d3fbb291750692373d545294f5a155ff719087a8ebae46142f647"},"schema_version":"1.0","source":{"id":"1104.2199","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2199","created_at":"2026-05-18T04:19:31Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2199v3","created_at":"2026-05-18T04:19:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2199","created_at":"2026-05-18T04:19:31Z"},{"alias_kind":"pith_short_12","alias_value":"K7TDPS4ROGCW","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"K7TDPS4ROGCWG7SZ","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"K7TDPS4R","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:a38ee823c01f429e14c39363a5cd58e197094facb9c283fcb68183d0807f8fa2","target":"graph","created_at":"2026-05-18T04:19:31Z","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":"Continuing a theme of Lerner and Hytonen-Perez, we establish an L^p(w) inequality for a Haar shift operator of bounded complexity, that quantifies the contribution of the A_infty characteristic of the weight to the L^p norm. Here, 1<p<\\infty. The Hytonen-Perez inequality is only for p=2, and we improve an inequality of the author and 6 other collaborators. As a corollary, the same inequality holds for all Calderon-Zygmund operators in the convex hull of Haar shifts of a bounded complexity, of which the canonical example is the Hilbert transform. We conjecture that the same inequality holds for","authors_text":"Michael T Lacey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-04-12T12:59:43Z","title":"An A_p --A_infty inequality for the Hilbert Transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2199","kind":"arxiv","version":3},"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:d142572f187a2c3adaeb3482f6446e908146e38d65f1a843df286de7ca8a1f56","target":"record","created_at":"2026-05-18T04:19:31Z","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":"456e3989207662da442df81636c6af808d80d70dd0acaafc2ce91198e777326e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-04-12T12:59:43Z","title_canon_sha256":"765c4b0b890d3fbb291750692373d545294f5a155ff719087a8ebae46142f647"},"schema_version":"1.0","source":{"id":"1104.2199","kind":"arxiv","version":3}},"canonical_sha256":"57e637cb917185637e592ce223629c590d7d94356388bec4f42d2a6247b92a5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57e637cb917185637e592ce223629c590d7d94356388bec4f42d2a6247b92a5a","first_computed_at":"2026-05-18T04:19:31.960230Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:31.960230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QIzck6+Hdtjaata4VE2gVREk9FZzAq7lX1WtpC1E1p9BbyRw5wXWYau+RxE9gCZHJ6XaZY5IvZatudDy4lKXDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:31.960646Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.2199","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d142572f187a2c3adaeb3482f6446e908146e38d65f1a843df286de7ca8a1f56","sha256:a38ee823c01f429e14c39363a5cd58e197094facb9c283fcb68183d0807f8fa2"],"state_sha256":"d3a1ba10258ac1556fb6fbcf7dd173282630cbc7b21716c71ff03d393a866d2a"}