{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MOIBA7KJ2LUP6CAB2YN3JP6FCZ","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":"d798ca39dba2fb221da72bc7de1db983e89e246dabcacba34c52d950a040757e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-03-01T23:31:33Z","title_canon_sha256":"eb9a206e0cb4c995775a21d93acdd940e30e8b2c0e081a32d8a8df21565eebeb"},"schema_version":"1.0","source":{"id":"1703.00546","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.00546","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"arxiv_version","alias_value":"1703.00546v1","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00546","created_at":"2026-05-18T00:49:41Z"},{"alias_kind":"pith_short_12","alias_value":"MOIBA7KJ2LUP","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MOIBA7KJ2LUP6CAB","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MOIBA7KJ","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:841efd12b98d47b87da11572acb83304cc68c9125ba00ac20d6fe2f96ea05281","target":"graph","created_at":"2026-05-18T00:49:41Z","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":"Recht and R\\'{e} introduced the noncommutative arithmetic geometric mean inequality (NC-AGM) for matrices with a constant depending on the degree $d$ and the dimension $m$. In this paper we prove AGM inequalities with a dimension-free constant for general operators. We also prove an order version of the AGM inequality under additional hypothesis. Moreover, we show that our AGM inequality almost holds for many examples of random matrices .","authors_text":"Marius Junge, Mingyu Zhao, Wafaa Albar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-03-01T23:31:33Z","title":"Noncommutative versions of the arithmetic-geometric mean inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00546","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:dcc92071a2797a3447b440e9a34f9aee447fde475ca709e53ea2a4c0e3f1218d","target":"record","created_at":"2026-05-18T00:49:41Z","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":"d798ca39dba2fb221da72bc7de1db983e89e246dabcacba34c52d950a040757e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-03-01T23:31:33Z","title_canon_sha256":"eb9a206e0cb4c995775a21d93acdd940e30e8b2c0e081a32d8a8df21565eebeb"},"schema_version":"1.0","source":{"id":"1703.00546","kind":"arxiv","version":1}},"canonical_sha256":"6390107d49d2e8ff0801d61bb4bfc516773d2d0262a55b3952c3600f2505bdc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6390107d49d2e8ff0801d61bb4bfc516773d2d0262a55b3952c3600f2505bdc3","first_computed_at":"2026-05-18T00:49:41.368416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:41.368416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WeTLHtlLr1GjXrmHcimb0kNJ415SIKf142OEsQEgqAp8s9PsqOgDlFID8y5YwSn8HrQ7L/txsStnVuEx0jP6Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:41.368901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.00546","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcc92071a2797a3447b440e9a34f9aee447fde475ca709e53ea2a4c0e3f1218d","sha256:841efd12b98d47b87da11572acb83304cc68c9125ba00ac20d6fe2f96ea05281"],"state_sha256":"dd38c4a9ad967099196eac1cb55cacddcf8f56c51ada677967dfe23d69f85f4a"}