{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CSX7V7BBBHCNM725EGNNA5FR47","short_pith_number":"pith:CSX7V7BB","schema_version":"1.0","canonical_sha256":"14affafc2109c4d67f5d219ad074b1e7d731122ad57259faa37ae9e528549022","source":{"kind":"arxiv","id":"1711.10236","version":1},"attestation_state":"computed","paper":{"title":"Weighted Norm Inequalities for Parametric Littlewood-Paley Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Bo Li","submitted_at":"2017-11-28T11:47:56Z","abstract_excerpt":"In this paper, the author establishes the boundedness of parametric Littlewood-Paley operators from Musielak-Orlicz Hardy space to Musielak-Orlicz space, or to weak Musielak-Orlicz space at the critical index. Part of these results are new even for classical Hardy space of Fefferman and Stein."},"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":"1711.10236","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-11-28T11:47:56Z","cross_cats_sorted":[],"title_canon_sha256":"a78ab31636500af62fa0869b0b6458ea49af309d5dc78d2fe7c09c6bccb29439","abstract_canon_sha256":"37a3505c0febb552e822d7d79b55f539e332510069af0a257ba94afcae568a88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:22.859840Z","signature_b64":"gRDIVCPJCWIOsN04CF/B3oiUkryWr7+5oNu75kuHYscudJtzwkLBkvXAjp0VaD7OTZp+z3tWHmIV/f5pula/Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14affafc2109c4d67f5d219ad074b1e7d731122ad57259faa37ae9e528549022","last_reissued_at":"2026-05-18T00:29:22.859036Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:22.859036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weighted Norm Inequalities for Parametric Littlewood-Paley Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Bo Li","submitted_at":"2017-11-28T11:47:56Z","abstract_excerpt":"In this paper, the author establishes the boundedness of parametric Littlewood-Paley operators from Musielak-Orlicz Hardy space to Musielak-Orlicz space, or to weak Musielak-Orlicz space at the critical index. Part of these results are new even for classical Hardy space of Fefferman and Stein."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10236","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1711.10236","created_at":"2026-05-18T00:29:22.859134+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.10236v1","created_at":"2026-05-18T00:29:22.859134+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10236","created_at":"2026-05-18T00:29:22.859134+00:00"},{"alias_kind":"pith_short_12","alias_value":"CSX7V7BBBHCN","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CSX7V7BBBHCNM725","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CSX7V7BB","created_at":"2026-05-18T12:31:10.602751+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/CSX7V7BBBHCNM725EGNNA5FR47","json":"https://pith.science/pith/CSX7V7BBBHCNM725EGNNA5FR47.json","graph_json":"https://pith.science/api/pith-number/CSX7V7BBBHCNM725EGNNA5FR47/graph.json","events_json":"https://pith.science/api/pith-number/CSX7V7BBBHCNM725EGNNA5FR47/events.json","paper":"https://pith.science/paper/CSX7V7BB"},"agent_actions":{"view_html":"https://pith.science/pith/CSX7V7BBBHCNM725EGNNA5FR47","download_json":"https://pith.science/pith/CSX7V7BBBHCNM725EGNNA5FR47.json","view_paper":"https://pith.science/paper/CSX7V7BB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.10236&json=true","fetch_graph":"https://pith.science/api/pith-number/CSX7V7BBBHCNM725EGNNA5FR47/graph.json","fetch_events":"https://pith.science/api/pith-number/CSX7V7BBBHCNM725EGNNA5FR47/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CSX7V7BBBHCNM725EGNNA5FR47/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CSX7V7BBBHCNM725EGNNA5FR47/action/storage_attestation","attest_author":"https://pith.science/pith/CSX7V7BBBHCNM725EGNNA5FR47/action/author_attestation","sign_citation":"https://pith.science/pith/CSX7V7BBBHCNM725EGNNA5FR47/action/citation_signature","submit_replication":"https://pith.science/pith/CSX7V7BBBHCNM725EGNNA5FR47/action/replication_record"}},"created_at":"2026-05-18T00:29:22.859134+00:00","updated_at":"2026-05-18T00:29:22.859134+00:00"}