{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:FDGA4VXPZ55HRDQXKTKE5JFT3C","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":"f983dbe5c89f8588a9be4115659f6500ae1046741340edaad84989f220c1f8d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2023-10-24T01:54:58Z","title_canon_sha256":"28aa11cf331cfb1404987ebed7f1be5792ffbdbbd71ee75b53ecdf1d55f37972"},"schema_version":"1.0","source":{"id":"2310.15452","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.15452","created_at":"2026-07-05T11:40:29Z"},{"alias_kind":"arxiv_version","alias_value":"2310.15452v3","created_at":"2026-07-05T11:40:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.15452","created_at":"2026-07-05T11:40:29Z"},{"alias_kind":"pith_short_12","alias_value":"FDGA4VXPZ55H","created_at":"2026-07-05T11:40:29Z"},{"alias_kind":"pith_short_16","alias_value":"FDGA4VXPZ55HRDQX","created_at":"2026-07-05T11:40:29Z"},{"alias_kind":"pith_short_8","alias_value":"FDGA4VXP","created_at":"2026-07-05T11:40:29Z"}],"graph_snapshots":[{"event_id":"sha256:733494d54c49608f4baae1c97211bbc4eba867d072c2a0b97c85e104afbf2ae9","target":"graph","created_at":"2026-07-05T11:40:29Z","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/2310.15452/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"One of the celebrated results by Riesz \\cite{Rie} is the Riesz conjugate functions theorem for analytic functions in the complex plane $\\mathbb{C}$. The study on the Riesz conjugate functions theorem for functions in higher dimensional spaces has attracted much attention. Fefferman and Stein \\cite{FS-1972} established the Riesz conjugate functions theorem for the Cauchy-Riemann systems in the upper half real space $\\mathbb{R}^{n+1}_{+}$. Astala and Koskela \\cite{AS-2} investigated the Riesz conjugate functions theorem for quasiconformal mappings of the unit ball $\\mathbf{B}^{n}$ in $\\mathbb{R}","authors_text":"Jie Xiao, Manzi Huang, Shaolin Chen, Xiantao Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2023-10-24T01:54:58Z","title":"Sharp Riesz conjugate functions theorems for quasiregular mappings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.15452","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:fab3ea42b720fb9cd92a606bb0547eee08780e41183f4e817ac812141b887fd7","target":"record","created_at":"2026-07-05T11:40:29Z","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":"f983dbe5c89f8588a9be4115659f6500ae1046741340edaad84989f220c1f8d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2023-10-24T01:54:58Z","title_canon_sha256":"28aa11cf331cfb1404987ebed7f1be5792ffbdbbd71ee75b53ecdf1d55f37972"},"schema_version":"1.0","source":{"id":"2310.15452","kind":"arxiv","version":3}},"canonical_sha256":"28cc0e56efcf7a788e1754d44ea4b3d8a0d0b29b1238af518f9e8c7a9a54c340","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28cc0e56efcf7a788e1754d44ea4b3d8a0d0b29b1238af518f9e8c7a9a54c340","first_computed_at":"2026-07-05T11:40:29.540083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:40:29.540083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1cR6VcnOAq3gD5xug8YR0cALAzCr9UXvu3Csqb4hqxFHsW8TCgNulg8q6nW1YpqauG7q8lbPSmv1dQM9e9HoAg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:40:29.540482Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.15452","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fab3ea42b720fb9cd92a606bb0547eee08780e41183f4e817ac812141b887fd7","sha256:733494d54c49608f4baae1c97211bbc4eba867d072c2a0b97c85e104afbf2ae9"],"state_sha256":"3cdf875e63b65575dedbab35966021afb1597d93cbe7b45a4074cd9cf58da524"}