{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UEPXHYVVMLGUSHT65UZMEYCDDI","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":"cd1096d2a2c6452efd668d8b9c4adbf6fbbed52a6a387d2863d8dc66fb21cc5f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-08T15:03:01Z","title_canon_sha256":"cd42275bf77ca724a406348a97892d02f6bec69c3fed8d4842a6faf5500d801e"},"schema_version":"1.0","source":{"id":"1109.1737","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1737","created_at":"2026-05-18T04:04:29Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1737v1","created_at":"2026-05-18T04:04:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1737","created_at":"2026-05-18T04:04:29Z"},{"alias_kind":"pith_short_12","alias_value":"UEPXHYVVMLGU","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UEPXHYVVMLGUSHT6","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UEPXHYVV","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:84ab5ff261f2f780956bb9b4468223d7035928057d4e40c732980c737dded69c","target":"graph","created_at":"2026-05-18T04:04:29Z","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"},"paper":{"abstract_excerpt":"We obtain a new general sufficient condition for the continuity of the Bergman projection in tube domains over symmetric cones using multifunctional embeddings.We also obtain some sharp embedding relations between the generalized Hilbert-HArdy spaces and the mixed norm Bergman spaces in this setting.","authors_text":"Milos Arsenovic, Romi Shamoyan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-08T15:03:01Z","title":"Embedding relations and boundedness of the multifunctional operators in tube domains over symmetric cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1737","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":"sha256:9a9f5098921b31c20ceba434559c7f5bbb3c34ccee44f662037a75bfa3ec5c33","target":"record","created_at":"2026-05-18T04:04:29Z","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":"cd1096d2a2c6452efd668d8b9c4adbf6fbbed52a6a387d2863d8dc66fb21cc5f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-09-08T15:03:01Z","title_canon_sha256":"cd42275bf77ca724a406348a97892d02f6bec69c3fed8d4842a6faf5500d801e"},"schema_version":"1.0","source":{"id":"1109.1737","kind":"arxiv","version":1}},"canonical_sha256":"a11f73e2b562cd491e7eed32c260431a2be8bbf77aa09f1b1478c261e09e62ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a11f73e2b562cd491e7eed32c260431a2be8bbf77aa09f1b1478c261e09e62ac","first_computed_at":"2026-05-18T04:04:29.866854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:29.866854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EXCG4iLWtJES8SNFtif0nprmHwxGO7R5rZy5L364IwYnI/XsqGpr/voDmTkUX3WtwNMU7J8Ew8+ZktAQuieUBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:29.867522Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.1737","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a9f5098921b31c20ceba434559c7f5bbb3c34ccee44f662037a75bfa3ec5c33","sha256:84ab5ff261f2f780956bb9b4468223d7035928057d4e40c732980c737dded69c"],"state_sha256":"c3055b574d6a4e255b14cb94cb8c4f05d7a22629398ae74d1ec2b5d824623c73"}