{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DQSTGOKVOIUZNAQZ6PBHJXWI6V","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":"bd8ce3b8a80c23cc2520c3cc56c16adffd852c5554c43a791e4c14d955c4465f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2025-04-16T18:16:20Z","title_canon_sha256":"33e9e27a55dd7ce71b253d406e9ea9863ee526863d1601c769d68ee97c39ab8e"},"schema_version":"1.0","source":{"id":"2504.12407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.12407","created_at":"2026-07-05T10:50:15Z"},{"alias_kind":"arxiv_version","alias_value":"2504.12407v1","created_at":"2026-07-05T10:50:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.12407","created_at":"2026-07-05T10:50:15Z"},{"alias_kind":"pith_short_12","alias_value":"DQSTGOKVOIUZ","created_at":"2026-07-05T10:50:15Z"},{"alias_kind":"pith_short_16","alias_value":"DQSTGOKVOIUZNAQZ","created_at":"2026-07-05T10:50:15Z"},{"alias_kind":"pith_short_8","alias_value":"DQSTGOKV","created_at":"2026-07-05T10:50:15Z"}],"graph_snapshots":[{"event_id":"sha256:da05e1936e85dbcc5bc8d3de203194347ac3d2b61097057833f38bdecce0c6ca","target":"graph","created_at":"2026-07-05T10:50:15Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2504.12407/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we extend the theory of Rubio de Francia extrapolation for matrix weights, recently introduced by Bownik and the first author, to off-diagonal extrapolation. We also show that the theory of matrix weighted extrapolation can be extended to matrix $\\mathcal{A}_p$ classes defined with respect to a general basis, provided that a version of the Christ-Goldberg maximal operator is assumed to be bounded. Finally, we extend a recent result by Vuorinen and show that all of the multiparameter bases have this property.","authors_text":"David Cruz-Uribe, Fatih \\c{S}irin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2025-04-16T18:16:20Z","title":"Off-diagonal matrix extrapolation for Muckenhoupt bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.12407","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:e2c015502cf1e5571992be9c7df1967451a63521d6c135987e6ce9f21590a3dc","target":"record","created_at":"2026-07-05T10:50:15Z","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":"bd8ce3b8a80c23cc2520c3cc56c16adffd852c5554c43a791e4c14d955c4465f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2025-04-16T18:16:20Z","title_canon_sha256":"33e9e27a55dd7ce71b253d406e9ea9863ee526863d1601c769d68ee97c39ab8e"},"schema_version":"1.0","source":{"id":"2504.12407","kind":"arxiv","version":1}},"canonical_sha256":"1c253339557229968219f3c274dec8f56ae283faa8afcf85685892922eabf55b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c253339557229968219f3c274dec8f56ae283faa8afcf85685892922eabf55b","first_computed_at":"2026-07-05T10:50:15.893979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:50:15.893979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LkJhJ/HsWPsnL1uCyGClNKUQ3yRIthNVy20CRYUKuJQI9TY6jNlYmvEcYmEp515tm3ZHs7RNAM17XpZgreNZAA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:50:15.894759Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.12407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2c015502cf1e5571992be9c7df1967451a63521d6c135987e6ce9f21590a3dc","sha256:da05e1936e85dbcc5bc8d3de203194347ac3d2b61097057833f38bdecce0c6ca"],"state_sha256":"4ed997cb1d5037310c104d228ae427b53fd06b62c844153fc10c114f185a2e87"}