{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:2N7KCYLTMZ3PTRH5TYMY7EZLPA","short_pith_number":"pith:2N7KCYLT","canonical_record":{"source":{"id":"math/0105109","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2001-05-12T23:38:52Z","cross_cats_sorted":["cond-mat","math.OA"],"title_canon_sha256":"dc19e76fb5347c444bb9300c94c368f82b5f4373bf4283884d5524de38cf5325","abstract_canon_sha256":"0d618e3a60b88817f49ee60c9a938866c0c2e3bdbc2e25c01b35bc3667b4233b"},"schema_version":"1.0"},"canonical_sha256":"d37ea161736676f9c4fd9e198f932b780ddf9139164a9c29acb5ce80b0172454","source":{"kind":"arxiv","id":"math/0105109","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0105109","created_at":"2026-05-17T23:59:18Z"},{"alias_kind":"arxiv_version","alias_value":"math/0105109v4","created_at":"2026-05-17T23:59:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0105109","created_at":"2026-05-17T23:59:18Z"},{"alias_kind":"pith_short_12","alias_value":"2N7KCYLTMZ3P","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"2N7KCYLTMZ3PTRH5","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"2N7KCYLT","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:2N7KCYLTMZ3PTRH5TYMY7EZLPA","target":"record","payload":{"canonical_record":{"source":{"id":"math/0105109","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2001-05-12T23:38:52Z","cross_cats_sorted":["cond-mat","math.OA"],"title_canon_sha256":"dc19e76fb5347c444bb9300c94c368f82b5f4373bf4283884d5524de38cf5325","abstract_canon_sha256":"0d618e3a60b88817f49ee60c9a938866c0c2e3bdbc2e25c01b35bc3667b4233b"},"schema_version":"1.0"},"canonical_sha256":"d37ea161736676f9c4fd9e198f932b780ddf9139164a9c29acb5ce80b0172454","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:18.454066Z","signature_b64":"L0vMGpegkDKeKSbIrIbcmIrEzWMA9zY6sEywUQFj41gZRbwAfKp/k8O+IC1ksPyG+MnSFoP24kZLhK6JNtyjDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d37ea161736676f9c4fd9e198f932b780ddf9139164a9c29acb5ce80b0172454","last_reissued_at":"2026-05-17T23:59:18.453598Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:18.453598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0105109","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"665UkOC0Ak+OX/B062pHLnhzTPCS13lJAdDzy1h0j0TF71YLu+ClKyCfR94pH/CU+RnH6q1MEBvzWmFp1eWBAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T11:16:39.803244Z"},"content_sha256":"a646b73cf99fab55ddd32ee6bcbed877dc04ccbbcee62c07310283f3f7af9b49","schema_version":"1.0","event_id":"sha256:a646b73cf99fab55ddd32ee6bcbed877dc04ccbbcee62c07310283f3f7af9b49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:2N7KCYLTMZ3PTRH5TYMY7EZLPA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random regularization of Brown spectral measure","license":"","headline":"","cross_cats":["cond-mat","math.OA"],"primary_cat":"math.PR","authors_text":"Piotr Sniady","submitted_at":"2001-05-12T23:38:52Z","abstract_excerpt":"We generalize a recent result of Haagerup; namely we show that a convolution with a standard Gaussian random matrix regularizes behaviour of Kadison--Fuglede determinant and Brown spectral distribution measure. In this way it is possible to establish a connection between limit eigenvalues distributions of a wide class of random matrices and the Brown measure of the corresponding limits."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0105109","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0/4+Kg2EB8HByhQkYFrJdCTPRV8rLta5nA0mGKsMW/dRk4hy7GHHgJ5rQd+u3eTmMj9IPKBR35I4AZNMyX1vAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T11:16:39.803617Z"},"content_sha256":"bbd33c376d5ff6d7902e67b97d8b9e05ebf08afbd1a21c2266b41b1272fe0160","schema_version":"1.0","event_id":"sha256:bbd33c376d5ff6d7902e67b97d8b9e05ebf08afbd1a21c2266b41b1272fe0160"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2N7KCYLTMZ3PTRH5TYMY7EZLPA/bundle.json","state_url":"https://pith.science/pith/2N7KCYLTMZ3PTRH5TYMY7EZLPA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2N7KCYLTMZ3PTRH5TYMY7EZLPA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-20T11:16:39Z","links":{"resolver":"https://pith.science/pith/2N7KCYLTMZ3PTRH5TYMY7EZLPA","bundle":"https://pith.science/pith/2N7KCYLTMZ3PTRH5TYMY7EZLPA/bundle.json","state":"https://pith.science/pith/2N7KCYLTMZ3PTRH5TYMY7EZLPA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2N7KCYLTMZ3PTRH5TYMY7EZLPA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:2N7KCYLTMZ3PTRH5TYMY7EZLPA","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":"0d618e3a60b88817f49ee60c9a938866c0c2e3bdbc2e25c01b35bc3667b4233b","cross_cats_sorted":["cond-mat","math.OA"],"license":"","primary_cat":"math.PR","submitted_at":"2001-05-12T23:38:52Z","title_canon_sha256":"dc19e76fb5347c444bb9300c94c368f82b5f4373bf4283884d5524de38cf5325"},"schema_version":"1.0","source":{"id":"math/0105109","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0105109","created_at":"2026-05-17T23:59:18Z"},{"alias_kind":"arxiv_version","alias_value":"math/0105109v4","created_at":"2026-05-17T23:59:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0105109","created_at":"2026-05-17T23:59:18Z"},{"alias_kind":"pith_short_12","alias_value":"2N7KCYLTMZ3P","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"2N7KCYLTMZ3PTRH5","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"2N7KCYLT","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:bbd33c376d5ff6d7902e67b97d8b9e05ebf08afbd1a21c2266b41b1272fe0160","target":"graph","created_at":"2026-05-17T23:59:18Z","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 generalize a recent result of Haagerup; namely we show that a convolution with a standard Gaussian random matrix regularizes behaviour of Kadison--Fuglede determinant and Brown spectral distribution measure. In this way it is possible to establish a connection between limit eigenvalues distributions of a wide class of random matrices and the Brown measure of the corresponding limits.","authors_text":"Piotr Sniady","cross_cats":["cond-mat","math.OA"],"headline":"","license":"","primary_cat":"math.PR","submitted_at":"2001-05-12T23:38:52Z","title":"Random regularization of Brown spectral measure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0105109","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:a646b73cf99fab55ddd32ee6bcbed877dc04ccbbcee62c07310283f3f7af9b49","target":"record","created_at":"2026-05-17T23:59:18Z","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":"0d618e3a60b88817f49ee60c9a938866c0c2e3bdbc2e25c01b35bc3667b4233b","cross_cats_sorted":["cond-mat","math.OA"],"license":"","primary_cat":"math.PR","submitted_at":"2001-05-12T23:38:52Z","title_canon_sha256":"dc19e76fb5347c444bb9300c94c368f82b5f4373bf4283884d5524de38cf5325"},"schema_version":"1.0","source":{"id":"math/0105109","kind":"arxiv","version":4}},"canonical_sha256":"d37ea161736676f9c4fd9e198f932b780ddf9139164a9c29acb5ce80b0172454","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d37ea161736676f9c4fd9e198f932b780ddf9139164a9c29acb5ce80b0172454","first_computed_at":"2026-05-17T23:59:18.453598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:18.453598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L0vMGpegkDKeKSbIrIbcmIrEzWMA9zY6sEywUQFj41gZRbwAfKp/k8O+IC1ksPyG+MnSFoP24kZLhK6JNtyjDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:18.454066Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0105109","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a646b73cf99fab55ddd32ee6bcbed877dc04ccbbcee62c07310283f3f7af9b49","sha256:bbd33c376d5ff6d7902e67b97d8b9e05ebf08afbd1a21c2266b41b1272fe0160"],"state_sha256":"6a4986319be79081eba406c582473aeb96f3b1cc3b6ae08efd85504a9e1365d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a8ViqeT1laxo+DPvPHFplfBJrYKvKeDnEmCDXII0DWIQh127zrM5V/D7ZYTXUfGVFsHCCPSe85iD/uZQwgc3Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T11:16:39.805544Z","bundle_sha256":"a7e056866146f70e263d866a8d77bf9584ddd80f0ba079473468e180e1bd47ff"}}