{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KOAXH6WCK3V5FDMSVEVCT3OQUG","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":"d85d2f7de6fa71913398dea678b19b7c408805f389c4c0225c98fb05bd6ed4c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-06-05T05:33:25Z","title_canon_sha256":"babaaee7d0ac9de9864397c1b90af9615dd4d3d5a91dfd048eb07934c47d005d"},"schema_version":"1.0","source":{"id":"1006.1021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1021","created_at":"2026-05-18T03:59:38Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1021v1","created_at":"2026-05-18T03:59:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1021","created_at":"2026-05-18T03:59:38Z"},{"alias_kind":"pith_short_12","alias_value":"KOAXH6WCK3V5","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KOAXH6WCK3V5FDMS","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KOAXH6WC","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:78328a1489351a3764b52978af59e8e2946559c484cbc6053c0a8792f4031538","target":"graph","created_at":"2026-05-18T03:59:38Z","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":"Let $\\mathscr{A}$ be a unital $C^*$-algebra and let $\\Phi: \\mathscr{A} \\to {\\mathbb B}({\\mathscr H})$ be a unital $n$-positive linear map between $C^*$-algebras for some $n \\geq 3$. We show that $$\\|\\Phi(AB)-\\Phi(A)\\Phi(B)\\| \\leq \\Delta(A,||\\cdot||)\\,\\Delta(B,||\\cdot||)$$ for all operators $A, B \\in \\mathscr{A}$, where $\\Delta(C,\\|\\cdot\\|)$ denotes the operator norm distance of $C$ from the scalar operators.","authors_text":"Mohammad Sal Moslehian, Rajna Rajic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-06-05T05:33:25Z","title":"A Gruss inequality for n-positive linear maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1021","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":"sha256:3c32286f97209af11771dff0483bbf09b4ea2e9aaead6bcab0c5fbe87f93d794","target":"record","created_at":"2026-05-18T03:59:38Z","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":"d85d2f7de6fa71913398dea678b19b7c408805f389c4c0225c98fb05bd6ed4c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2010-06-05T05:33:25Z","title_canon_sha256":"babaaee7d0ac9de9864397c1b90af9615dd4d3d5a91dfd048eb07934c47d005d"},"schema_version":"1.0","source":{"id":"1006.1021","kind":"arxiv","version":1}},"canonical_sha256":"538173fac256ebd28d92a92a29edd0a1ad12d98565ee7ceb212c1321297e5816","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"538173fac256ebd28d92a92a29edd0a1ad12d98565ee7ceb212c1321297e5816","first_computed_at":"2026-05-18T03:59:38.564656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:38.564656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AHaMJODvQ6xG6mZ/6fNpmBrTaMCLzWIWNeZtZajQ8d72wtDEzK8f2JIPLVIGUVDyEzWaGqxEoNW5EwUJ/hWjCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:38.565345Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.1021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c32286f97209af11771dff0483bbf09b4ea2e9aaead6bcab0c5fbe87f93d794","sha256:78328a1489351a3764b52978af59e8e2946559c484cbc6053c0a8792f4031538"],"state_sha256":"e96f65d321fff31da8cda0b4d750196948b7f5f3c45be6735ac4cbf353792838"}