{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:23X7YI6YU6MJ62IIQKBQVDKPTA","short_pith_number":"pith:23X7YI6Y","canonical_record":{"source":{"id":"1305.3470","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-05-15T13:43:33Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"fff66c6c115df34e8a0924c3720fd11731a98e0622cdd8649cbd72a4432b9daa","abstract_canon_sha256":"c170798564effac6df110bfeb09c20eaeaa26fdca53f8747ddefc778f432d7f0"},"schema_version":"1.0"},"canonical_sha256":"d6effc23d8a7989f690882830a8d4f98110903c9ea768541df3ccbc82929e667","source":{"kind":"arxiv","id":"1305.3470","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3470","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3470v2","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3470","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"pith_short_12","alias_value":"23X7YI6YU6MJ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"23X7YI6YU6MJ62II","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"23X7YI6Y","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:23X7YI6YU6MJ62IIQKBQVDKPTA","target":"record","payload":{"canonical_record":{"source":{"id":"1305.3470","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-05-15T13:43:33Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"fff66c6c115df34e8a0924c3720fd11731a98e0622cdd8649cbd72a4432b9daa","abstract_canon_sha256":"c170798564effac6df110bfeb09c20eaeaa26fdca53f8747ddefc778f432d7f0"},"schema_version":"1.0"},"canonical_sha256":"d6effc23d8a7989f690882830a8d4f98110903c9ea768541df3ccbc82929e667","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:02.682240Z","signature_b64":"DVmQB22g+jGVqwznvka0Az00WpUTxXUsUxQZMwIzfMCuGrU8lldCCWKNNDnf+9vISCh4ENs9GiUhADnBxpyGCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6effc23d8a7989f690882830a8d4f98110903c9ea768541df3ccbc82929e667","last_reissued_at":"2026-05-18T00:15:02.681669Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:02.681669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.3470","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"daDPcWyuIO50OB6v6tHmHWBr0ntR5+qJnV7neJ5ap6zUieTHlnujc1ODlS7ZzNjSKOXfDHzqHlQtEh8WD5SoBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T12:50:50.739780Z"},"content_sha256":"76d594b7c21b68fab49ebde6694d7d7d71e18352b7d8815be816e442af37290c","schema_version":"1.0","event_id":"sha256:76d594b7c21b68fab49ebde6694d7d7d71e18352b7d8815be816e442af37290c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:23X7YI6YU6MJ62IIQKBQVDKPTA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random matrix model for free Meixner laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.OA","authors_text":"Romuald Lenczewski","submitted_at":"2013-05-15T13:43:33Z","abstract_excerpt":"Applying the concept of matricial freeness which generalizes freeness in free probability, we have recently studied asymptotic joint distributions of symmetric blocks of Gaussian random matrices (Gaussian Symmetric Block Ensemble). This approach gives a block refinement of the fundamental result of Voiculescu on asymptotic freeness of independent Gaussian random matrices. In this paper, we show that this framework is natural for constructing a random matrix model for free Meixner laws. We also demonstrate that the ensemble of independent matrices of this type is asymptotically conditionally fr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3470","kind":"arxiv","version":2},"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":"2026-05-18T00:15:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o0Tv0DgfbAJsz4hmUavWcMB6Dao/zzv/6CS7kRHEjVHUr6cojLJpEZFIis/9Qnu+yQ6pxebrS6vLpT0NebdQBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T12:50:50.740130Z"},"content_sha256":"81b9f60f4112bb33411b343b99b508283a147d2570c793e3618e430b5a058206","schema_version":"1.0","event_id":"sha256:81b9f60f4112bb33411b343b99b508283a147d2570c793e3618e430b5a058206"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/23X7YI6YU6MJ62IIQKBQVDKPTA/bundle.json","state_url":"https://pith.science/pith/23X7YI6YU6MJ62IIQKBQVDKPTA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/23X7YI6YU6MJ62IIQKBQVDKPTA/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":"2026-07-03T12:50:50Z","links":{"resolver":"https://pith.science/pith/23X7YI6YU6MJ62IIQKBQVDKPTA","bundle":"https://pith.science/pith/23X7YI6YU6MJ62IIQKBQVDKPTA/bundle.json","state":"https://pith.science/pith/23X7YI6YU6MJ62IIQKBQVDKPTA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/23X7YI6YU6MJ62IIQKBQVDKPTA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:23X7YI6YU6MJ62IIQKBQVDKPTA","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":"c170798564effac6df110bfeb09c20eaeaa26fdca53f8747ddefc778f432d7f0","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-05-15T13:43:33Z","title_canon_sha256":"fff66c6c115df34e8a0924c3720fd11731a98e0622cdd8649cbd72a4432b9daa"},"schema_version":"1.0","source":{"id":"1305.3470","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3470","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3470v2","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3470","created_at":"2026-05-18T00:15:02Z"},{"alias_kind":"pith_short_12","alias_value":"23X7YI6YU6MJ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"23X7YI6YU6MJ62II","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"23X7YI6Y","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:81b9f60f4112bb33411b343b99b508283a147d2570c793e3618e430b5a058206","target":"graph","created_at":"2026-05-18T00:15:02Z","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":"Applying the concept of matricial freeness which generalizes freeness in free probability, we have recently studied asymptotic joint distributions of symmetric blocks of Gaussian random matrices (Gaussian Symmetric Block Ensemble). This approach gives a block refinement of the fundamental result of Voiculescu on asymptotic freeness of independent Gaussian random matrices. In this paper, we show that this framework is natural for constructing a random matrix model for free Meixner laws. We also demonstrate that the ensemble of independent matrices of this type is asymptotically conditionally fr","authors_text":"Romuald Lenczewski","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-05-15T13:43:33Z","title":"Random matrix model for free Meixner laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3470","kind":"arxiv","version":2},"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":"sha256:76d594b7c21b68fab49ebde6694d7d7d71e18352b7d8815be816e442af37290c","target":"record","created_at":"2026-05-18T00:15:02Z","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":"c170798564effac6df110bfeb09c20eaeaa26fdca53f8747ddefc778f432d7f0","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-05-15T13:43:33Z","title_canon_sha256":"fff66c6c115df34e8a0924c3720fd11731a98e0622cdd8649cbd72a4432b9daa"},"schema_version":"1.0","source":{"id":"1305.3470","kind":"arxiv","version":2}},"canonical_sha256":"d6effc23d8a7989f690882830a8d4f98110903c9ea768541df3ccbc82929e667","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6effc23d8a7989f690882830a8d4f98110903c9ea768541df3ccbc82929e667","first_computed_at":"2026-05-18T00:15:02.681669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:02.681669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DVmQB22g+jGVqwznvka0Az00WpUTxXUsUxQZMwIzfMCuGrU8lldCCWKNNDnf+9vISCh4ENs9GiUhADnBxpyGCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:02.682240Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3470","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76d594b7c21b68fab49ebde6694d7d7d71e18352b7d8815be816e442af37290c","sha256:81b9f60f4112bb33411b343b99b508283a147d2570c793e3618e430b5a058206"],"state_sha256":"247206c88a3e02bb7bb42bf45c77c9c75b4bd21c5f7e9a43749eaed4ba3ce561"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NWB0+SKxzU5eRuXbeOdZxS3uBmMgFEsfdlH2RLFExpIZ9Nl752vxF5Ppa+nNr7P333jro0Av4/S+xgR02i4LDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T12:50:50.742136Z","bundle_sha256":"819bea5b08784cd96e334c84bcb60be71df2200f8b6bf80c69a49c364c3511da"}}