{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PYITDEU3A64U5VI45NVDUG4VTG","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":"eb8b0defaff5b84ff45a3b28abb3c835d6c199acd895f1eeb4d396f874a6ea3d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.CV","submitted_at":"2015-04-06T15:27:01Z","title_canon_sha256":"2c4ef3c8fbe4d933fd8e779c454e6456cfce6992e43918d47efea3bde44fcd08"},"schema_version":"1.0","source":{"id":"1504.01305","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.01305","created_at":"2026-05-18T02:19:34Z"},{"alias_kind":"arxiv_version","alias_value":"1504.01305v1","created_at":"2026-05-18T02:19:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.01305","created_at":"2026-05-18T02:19:34Z"},{"alias_kind":"pith_short_12","alias_value":"PYITDEU3A64U","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PYITDEU3A64U5VI4","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PYITDEU3","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:a26f6e8b8c7b873962d3339e09a4cd8c4ba09dc9109aec2e5e04f5b65d988c0d","target":"graph","created_at":"2026-05-18T02:19:34Z","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":"Using the Cauchy-Riemann operator, we characterize $Q_K$ spaces, Besov spaces and analytic Morrey spaces in terms of pseudoanalytic extensions of primitive functions. Our results are also true on some classical Banach spaces, such as the Bloch space, $BMOA$ and the Dirichlet space.","authors_text":"Fangqin Ye, Guanlong Bao, Hasi Wulan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.CV","submitted_at":"2015-04-06T15:27:01Z","title":"The pseudoanalytic extensions for some spaces of analytic functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.01305","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":"sha256:6702108217aaed612e508e3d0c55a8829d1de349b58cc6fab30971f03d167e57","target":"record","created_at":"2026-05-18T02:19:34Z","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":"eb8b0defaff5b84ff45a3b28abb3c835d6c199acd895f1eeb4d396f874a6ea3d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.CV","submitted_at":"2015-04-06T15:27:01Z","title_canon_sha256":"2c4ef3c8fbe4d933fd8e779c454e6456cfce6992e43918d47efea3bde44fcd08"},"schema_version":"1.0","source":{"id":"1504.01305","kind":"arxiv","version":1}},"canonical_sha256":"7e1131929b07b94ed51ceb6a3a1b9599917c75d3e254a4c89150301ae6dfdd44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e1131929b07b94ed51ceb6a3a1b9599917c75d3e254a4c89150301ae6dfdd44","first_computed_at":"2026-05-18T02:19:34.687649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:34.687649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XuYpJhcJPQe8l5ST89w7ctO8tyZSxYWsObkTRaMpRPZcTQnvkRDabidTjRZRgp0X8n01D6eQiL01KFmpt+FfAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:34.688148Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.01305","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6702108217aaed612e508e3d0c55a8829d1de349b58cc6fab30971f03d167e57","sha256:a26f6e8b8c7b873962d3339e09a4cd8c4ba09dc9109aec2e5e04f5b65d988c0d"],"state_sha256":"615484c6d52f4ba9ecef196a799f00d0973813b0bd6ed0a18d83c1485ea83788"}