{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OK2HNJ63IFKYKZEV76WQ6FKHN7","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":"b6cb5ada799f318d3aebc0172bf6cb82d83bbaebcee24ae3e46eef3e06a0ec2c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-01-25T19:01:45Z","title_canon_sha256":"566bb2f67d00e8c140e1f1c49cd6355ca6a3dd464d2d9c60ef3feabbe8262f8e"},"schema_version":"1.0","source":{"id":"1601.06723","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06723","created_at":"2026-05-18T00:47:15Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06723v4","created_at":"2026-05-18T00:47:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06723","created_at":"2026-05-18T00:47:15Z"},{"alias_kind":"pith_short_12","alias_value":"OK2HNJ63IFKY","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OK2HNJ63IFKYKZEV","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OK2HNJ63","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:3ba5fed50dfd2c6198228caa9d7c5c732408edd8143247482677e7f567b0d107","target":"graph","created_at":"2026-05-18T00:47:15Z","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"},"paper":{"abstract_excerpt":"We study the filtering of the perspective of a regular operator map of several variables through a completely positive linear map. By this method we are able to extend known operator inequalities of two variables to several variables; with applications in the theory of operator means of several variables. We also extend Lieb-Ruskai's convexity theorem from two to $ n+1 $ operator variables.","authors_text":"Frank Hansen","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-01-25T19:01:45Z","title":"Perspectives and completely positive maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06723","kind":"arxiv","version":4},"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":"sha256:4ab271809da91c3a197e6a7dc03cf9cf82675f1f20e39ab5c31c42fa20a0df88","target":"record","created_at":"2026-05-18T00:47:15Z","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":"b6cb5ada799f318d3aebc0172bf6cb82d83bbaebcee24ae3e46eef3e06a0ec2c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-01-25T19:01:45Z","title_canon_sha256":"566bb2f67d00e8c140e1f1c49cd6355ca6a3dd464d2d9c60ef3feabbe8262f8e"},"schema_version":"1.0","source":{"id":"1601.06723","kind":"arxiv","version":4}},"canonical_sha256":"72b476a7db4155856495ffad0f15476fc04ac4e581f9da881d9d65a7103b4f52","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"72b476a7db4155856495ffad0f15476fc04ac4e581f9da881d9d65a7103b4f52","first_computed_at":"2026-05-18T00:47:15.634046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:15.634046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jHJasT72ptGwfOP3izCAJTO7HykFN4d/77iSTsnpnUWie8FWKX1M8gv1hQMK8cQJ8FpGcf/jBs5HTGJiWu6ABw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:15.634690Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.06723","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ab271809da91c3a197e6a7dc03cf9cf82675f1f20e39ab5c31c42fa20a0df88","sha256:3ba5fed50dfd2c6198228caa9d7c5c732408edd8143247482677e7f567b0d107"],"state_sha256":"e764a768ab6f245b243cd8e83a05aac33850743101b7d311dc8079860b0c7b1c"}