{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:R6C5SZ6GU4WSTGEYMQM6KI5WMU","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":"5cf1adbb65be74ab0011aa6de697dc3b4ee0ad80961ae273738cddbf58b0693f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-10T18:44:34Z","title_canon_sha256":"d371fa89a9789f4e0cb55580d48a9d4aaab0e4329d6a41b5bfbc6dc3dd4c05d2"},"schema_version":"1.0","source":{"id":"1101.1923","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1923","created_at":"2026-05-18T03:51:58Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1923v3","created_at":"2026-05-18T03:51:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1923","created_at":"2026-05-18T03:51:58Z"},{"alias_kind":"pith_short_12","alias_value":"R6C5SZ6GU4WS","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"R6C5SZ6GU4WSTGEY","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"R6C5SZ6G","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:43e75d75b992c483a4ecff80ca1a3a004ca9a06c10d41ecf25c4de21a47e2340","target":"graph","created_at":"2026-05-18T03:51:58Z","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 present a concentration inequality for linear functionals of noncommutative polynomials in random matrices. Our hypotheses cover most standard ensembles, including Gaussian matrices, matrices with independent uniformly bounded entries and unitary or orthogonal matrices.","authors_text":"Mark W. Meckes, Stanislaw J. Szarek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-10T18:44:34Z","title":"Concentration for noncommutative polynomials in random matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1923","kind":"arxiv","version":3},"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":"sha256:8a1509bb467b9d26b1f4d02944697d65d8370dfabe3da536a8e9eeacfda79e7f","target":"record","created_at":"2026-05-18T03:51:58Z","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":"5cf1adbb65be74ab0011aa6de697dc3b4ee0ad80961ae273738cddbf58b0693f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-01-10T18:44:34Z","title_canon_sha256":"d371fa89a9789f4e0cb55580d48a9d4aaab0e4329d6a41b5bfbc6dc3dd4c05d2"},"schema_version":"1.0","source":{"id":"1101.1923","kind":"arxiv","version":3}},"canonical_sha256":"8f85d967c6a72d2998986419e523b66516100822227bb112ceef738a0d2b9f85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f85d967c6a72d2998986419e523b66516100822227bb112ceef738a0d2b9f85","first_computed_at":"2026-05-18T03:51:58.727802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:58.727802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W0AnU63M2Y7V3mi5z1ockuYu0NGS+emPHTxOA+hRfbmNgsfR/uMmdgb7Gro3yt4QkIFsaBK4c/QxBD/sYw5kDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:58.728574Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1923","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a1509bb467b9d26b1f4d02944697d65d8370dfabe3da536a8e9eeacfda79e7f","sha256:43e75d75b992c483a4ecff80ca1a3a004ca9a06c10d41ecf25c4de21a47e2340"],"state_sha256":"5253939f072fa3bd1b535e44daff6b8f0c87ba81c91068a24858797fd8c67405"}