{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:CEAMFOQAUJ77QN3LEPG75AKWYV","short_pith_number":"pith:CEAMFOQA","canonical_record":{"source":{"id":"2305.12632","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-05-22T01:54:51Z","cross_cats_sorted":["q-fin.ST"],"title_canon_sha256":"d9326e87d2854c51102a6f31d0a40abe073d334aa7e8c4a983cbe6561e4449e0","abstract_canon_sha256":"3dbadd96187e650ae6b43c233117c84434f89ffa978195f044df49815859976e"},"schema_version":"1.0"},"canonical_sha256":"1100c2ba00a27ff8376b23cdfe8156c54a02b85a130b2a11cea42f9cb7511414","source":{"kind":"arxiv","id":"2305.12632","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.12632","created_at":"2026-07-05T09:35:05Z"},{"alias_kind":"arxiv_version","alias_value":"2305.12632v2","created_at":"2026-07-05T09:35:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.12632","created_at":"2026-07-05T09:35:05Z"},{"alias_kind":"pith_short_12","alias_value":"CEAMFOQAUJ77","created_at":"2026-07-05T09:35:05Z"},{"alias_kind":"pith_short_16","alias_value":"CEAMFOQAUJ77QN3L","created_at":"2026-07-05T09:35:05Z"},{"alias_kind":"pith_short_8","alias_value":"CEAMFOQA","created_at":"2026-07-05T09:35:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:CEAMFOQAUJ77QN3LEPG75AKWYV","target":"record","payload":{"canonical_record":{"source":{"id":"2305.12632","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-05-22T01:54:51Z","cross_cats_sorted":["q-fin.ST"],"title_canon_sha256":"d9326e87d2854c51102a6f31d0a40abe073d334aa7e8c4a983cbe6561e4449e0","abstract_canon_sha256":"3dbadd96187e650ae6b43c233117c84434f89ffa978195f044df49815859976e"},"schema_version":"1.0"},"canonical_sha256":"1100c2ba00a27ff8376b23cdfe8156c54a02b85a130b2a11cea42f9cb7511414","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:35:05.849441Z","signature_b64":"v+LBFACEFykbGWiv6vE9w8MF0sUGfZrRm1Xj4sfhYth4DwwJBq/Hq3HKgg1RtBIcOH6sSolfaWja7EeNxda6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1100c2ba00a27ff8376b23cdfe8156c54a02b85a130b2a11cea42f9cb7511414","last_reissued_at":"2026-07-05T09:35:05.848960Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:35:05.848960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.12632","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":"2026-07-05T09:35:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RdoZE4Mxi+ER3MEONxCbi6kv4WamBXY+IzcHVblVEdq4oXhE1QUJjhI33d9yDJf1nuIjMN4HFx8uevikzsclBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:41:17.137884Z"},"content_sha256":"59374c8c3a38ef3a273e44aee9cbc3c2d19efa51510c2bfcb3268528c9df0df8","schema_version":"1.0","event_id":"sha256:59374c8c3a38ef3a273e44aee9cbc3c2d19efa51510c2bfcb3268528c9df0df8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:CEAMFOQAUJ77QN3LEPG75AKWYV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deformation of Marchenko-Pastur distribution for the correlated time series","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["q-fin.ST"],"primary_cat":"cond-mat.stat-mech","authors_text":"Masato Hisakado, Takuya Kaneko","submitted_at":"2023-05-22T01:54:51Z","abstract_excerpt":"We study the eigenvalue of the Wishart matrix, which is created from a time series with temporal correlation. When there is no correlation, the eigenvalue distribution of the Wishart matrix is known as the Marchenko-Pastur distribution (MPD) in the double scaling limit. When there is temporal correlation, the eigenvalue distribution converges to the deformed MPD which has a longer tail and higher peak than the MPD. Here we discuss the moments of distribution and convergence to the deformed MPD for the Gaussian process with a temporal correlation. We show that the second moment increases as the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.12632","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.12632/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:35:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qoIIWLHY64pZiyGs26Ch9vRq0kP4NE0B7XV12aCZmDTu3LOrXSm60aRilhgjbfamz8jH0Om4DnXF+3bMwmEkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:41:17.138933Z"},"content_sha256":"aac8f22625ef33fdb2ab403e0164b51bee1fbb20b4a11869243c0784b73ad851","schema_version":"1.0","event_id":"sha256:aac8f22625ef33fdb2ab403e0164b51bee1fbb20b4a11869243c0784b73ad851"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CEAMFOQAUJ77QN3LEPG75AKWYV/bundle.json","state_url":"https://pith.science/pith/CEAMFOQAUJ77QN3LEPG75AKWYV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CEAMFOQAUJ77QN3LEPG75AKWYV/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":"2026-08-12T12:41:17Z","links":{"resolver":"https://pith.science/pith/CEAMFOQAUJ77QN3LEPG75AKWYV","bundle":"https://pith.science/pith/CEAMFOQAUJ77QN3LEPG75AKWYV/bundle.json","state":"https://pith.science/pith/CEAMFOQAUJ77QN3LEPG75AKWYV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CEAMFOQAUJ77QN3LEPG75AKWYV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CEAMFOQAUJ77QN3LEPG75AKWYV","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":"3dbadd96187e650ae6b43c233117c84434f89ffa978195f044df49815859976e","cross_cats_sorted":["q-fin.ST"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-05-22T01:54:51Z","title_canon_sha256":"d9326e87d2854c51102a6f31d0a40abe073d334aa7e8c4a983cbe6561e4449e0"},"schema_version":"1.0","source":{"id":"2305.12632","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.12632","created_at":"2026-07-05T09:35:05Z"},{"alias_kind":"arxiv_version","alias_value":"2305.12632v2","created_at":"2026-07-05T09:35:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.12632","created_at":"2026-07-05T09:35:05Z"},{"alias_kind":"pith_short_12","alias_value":"CEAMFOQAUJ77","created_at":"2026-07-05T09:35:05Z"},{"alias_kind":"pith_short_16","alias_value":"CEAMFOQAUJ77QN3L","created_at":"2026-07-05T09:35:05Z"},{"alias_kind":"pith_short_8","alias_value":"CEAMFOQA","created_at":"2026-07-05T09:35:05Z"}],"graph_snapshots":[{"event_id":"sha256:aac8f22625ef33fdb2ab403e0164b51bee1fbb20b4a11869243c0784b73ad851","target":"graph","created_at":"2026-07-05T09:35:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2305.12632/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the eigenvalue of the Wishart matrix, which is created from a time series with temporal correlation. When there is no correlation, the eigenvalue distribution of the Wishart matrix is known as the Marchenko-Pastur distribution (MPD) in the double scaling limit. When there is temporal correlation, the eigenvalue distribution converges to the deformed MPD which has a longer tail and higher peak than the MPD. Here we discuss the moments of distribution and convergence to the deformed MPD for the Gaussian process with a temporal correlation. We show that the second moment increases as the","authors_text":"Masato Hisakado, Takuya Kaneko","cross_cats":["q-fin.ST"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-05-22T01:54:51Z","title":"Deformation of Marchenko-Pastur distribution for the correlated time series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.12632","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":"sha256:59374c8c3a38ef3a273e44aee9cbc3c2d19efa51510c2bfcb3268528c9df0df8","target":"record","created_at":"2026-07-05T09:35:05Z","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":"3dbadd96187e650ae6b43c233117c84434f89ffa978195f044df49815859976e","cross_cats_sorted":["q-fin.ST"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-05-22T01:54:51Z","title_canon_sha256":"d9326e87d2854c51102a6f31d0a40abe073d334aa7e8c4a983cbe6561e4449e0"},"schema_version":"1.0","source":{"id":"2305.12632","kind":"arxiv","version":2}},"canonical_sha256":"1100c2ba00a27ff8376b23cdfe8156c54a02b85a130b2a11cea42f9cb7511414","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1100c2ba00a27ff8376b23cdfe8156c54a02b85a130b2a11cea42f9cb7511414","first_computed_at":"2026-07-05T09:35:05.848960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:35:05.848960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v+LBFACEFykbGWiv6vE9w8MF0sUGfZrRm1Xj4sfhYth4DwwJBq/Hq3HKgg1RtBIcOH6sSolfaWja7EeNxda6Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:35:05.849441Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.12632","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59374c8c3a38ef3a273e44aee9cbc3c2d19efa51510c2bfcb3268528c9df0df8","sha256:aac8f22625ef33fdb2ab403e0164b51bee1fbb20b4a11869243c0784b73ad851"],"state_sha256":"e7cdde8814d51493c15f8675350648488ea0e41f47c96d4d930621f776d38ffa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QFG5ctuh3V7UlgZ+7V7+jPwwhoOJaEFRA3pUXVkfijCowrkVaeCBEjPZXxClUCvOXXkgx+7ESdTcae0a9yx1AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T12:41:17.147883Z","bundle_sha256":"7fca5e3a3da279bbbfb2f75f1e585b8c2ed731642484b45ad7918ba8d7e1af1c"}}