{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:POW5AEDQEU5IBEST2LDYD7WRLD","short_pith_number":"pith:POW5AEDQ","schema_version":"1.0","canonical_sha256":"7badd01070253a809253d2c781fed158fc31ea89e753cfbdca64673f05442852","source":{"kind":"arxiv","id":"1605.00922","version":2},"attestation_state":"computed","paper":{"title":"Extrapolation in the scale of generalized reverse H\\\"older weights","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"David Cruz-Uribe, Kabe Moen, Theresa C. Anderson","submitted_at":"2016-05-03T14:22:51Z","abstract_excerpt":"We develop a theory of extrapolation for weights that satisfy a generalized reverse H\\\"older inequality in the scale of Orlicz spaces. This extends previous results by Auscher and Martell [2] on limited range extrapolation. As an application, we show that a number of weighted norm inequalities for linear and bilinear operators can be proved using our extrapolation theorem."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1605.00922","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-05-03T14:22:51Z","cross_cats_sorted":[],"title_canon_sha256":"58e698aa69cbfafad43954249dc301ebd8ad8c16b62c866f8956e2450b0757b9","abstract_canon_sha256":"0321034547690ee5197ef197d7f4deb38e3e1e2cb988fcb41e26a4f6e44463df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:51.447355Z","signature_b64":"KAizdT5DPf+6Nla8UtWa52rz92sh2ONvwa9nBSZ820jQeqbBoIG4Gc8IFUShVZ4KmcgPwxl0ilk6u8WwvmZtBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7badd01070253a809253d2c781fed158fc31ea89e753cfbdca64673f05442852","last_reissued_at":"2026-05-18T00:41:51.446628Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:51.446628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extrapolation in the scale of generalized reverse H\\\"older weights","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"David Cruz-Uribe, Kabe Moen, Theresa C. Anderson","submitted_at":"2016-05-03T14:22:51Z","abstract_excerpt":"We develop a theory of extrapolation for weights that satisfy a generalized reverse H\\\"older inequality in the scale of Orlicz spaces. This extends previous results by Auscher and Martell [2] on limited range extrapolation. As an application, we show that a number of weighted norm inequalities for linear and bilinear operators can be proved using our extrapolation theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00922","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1605.00922","created_at":"2026-05-18T00:41:51.446757+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.00922v2","created_at":"2026-05-18T00:41:51.446757+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00922","created_at":"2026-05-18T00:41:51.446757+00:00"},{"alias_kind":"pith_short_12","alias_value":"POW5AEDQEU5I","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"POW5AEDQEU5IBEST","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"POW5AEDQ","created_at":"2026-05-18T12:30:39.010887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/POW5AEDQEU5IBEST2LDYD7WRLD","json":"https://pith.science/pith/POW5AEDQEU5IBEST2LDYD7WRLD.json","graph_json":"https://pith.science/api/pith-number/POW5AEDQEU5IBEST2LDYD7WRLD/graph.json","events_json":"https://pith.science/api/pith-number/POW5AEDQEU5IBEST2LDYD7WRLD/events.json","paper":"https://pith.science/paper/POW5AEDQ"},"agent_actions":{"view_html":"https://pith.science/pith/POW5AEDQEU5IBEST2LDYD7WRLD","download_json":"https://pith.science/pith/POW5AEDQEU5IBEST2LDYD7WRLD.json","view_paper":"https://pith.science/paper/POW5AEDQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.00922&json=true","fetch_graph":"https://pith.science/api/pith-number/POW5AEDQEU5IBEST2LDYD7WRLD/graph.json","fetch_events":"https://pith.science/api/pith-number/POW5AEDQEU5IBEST2LDYD7WRLD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/POW5AEDQEU5IBEST2LDYD7WRLD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/POW5AEDQEU5IBEST2LDYD7WRLD/action/storage_attestation","attest_author":"https://pith.science/pith/POW5AEDQEU5IBEST2LDYD7WRLD/action/author_attestation","sign_citation":"https://pith.science/pith/POW5AEDQEU5IBEST2LDYD7WRLD/action/citation_signature","submit_replication":"https://pith.science/pith/POW5AEDQEU5IBEST2LDYD7WRLD/action/replication_record"}},"created_at":"2026-05-18T00:41:51.446757+00:00","updated_at":"2026-05-18T00:41:51.446757+00:00"}