{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RIFBZKMUR7ZV23ZC6WRTBXP2RS","short_pith_number":"pith:RIFBZKMU","canonical_record":{"source":{"id":"1307.0464","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-07-01T18:24:59Z","cross_cats_sorted":[],"title_canon_sha256":"feb6c9a60f61ef839dee42a21363504c7285d28377ca99f5ee74ef1c7cdc3a39","abstract_canon_sha256":"ccb11c6186de4610d38bed68ebf4b8888bd5b7ef1539a851725c895f3d7c75c1"},"schema_version":"1.0"},"canonical_sha256":"8a0a1ca9948ff35d6f22f5a330ddfa8cbdbc6c86b3dd28a4ca500bea84c189a7","source":{"kind":"arxiv","id":"1307.0464","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.0464","created_at":"2026-05-18T01:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1307.0464v1","created_at":"2026-05-18T01:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0464","created_at":"2026-05-18T01:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"RIFBZKMUR7ZV","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RIFBZKMUR7ZV23ZC","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RIFBZKMU","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RIFBZKMUR7ZV23ZC6WRTBXP2RS","target":"record","payload":{"canonical_record":{"source":{"id":"1307.0464","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-07-01T18:24:59Z","cross_cats_sorted":[],"title_canon_sha256":"feb6c9a60f61ef839dee42a21363504c7285d28377ca99f5ee74ef1c7cdc3a39","abstract_canon_sha256":"ccb11c6186de4610d38bed68ebf4b8888bd5b7ef1539a851725c895f3d7c75c1"},"schema_version":"1.0"},"canonical_sha256":"8a0a1ca9948ff35d6f22f5a330ddfa8cbdbc6c86b3dd28a4ca500bea84c189a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:01.068343Z","signature_b64":"He2onLKbpjcOZtqNKQB86ooAzWxo7PFRhRZziZatL7092gPgr8D89tZAAA+H2bRcmhr8BC0/A2RdSBh4h1ULBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a0a1ca9948ff35d6f22f5a330ddfa8cbdbc6c86b3dd28a4ca500bea84c189a7","last_reissued_at":"2026-05-18T01:49:01.067821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:01.067821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.0464","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8KViD7qIKLgg43/GgFlyy7rpzktUeX6bo/zoni9SvvhN6TBFGlXGpTZAfrQxIYrGLSee1ZFGcb5feOs6M8siDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T06:55:14.897967Z"},"content_sha256":"ec2a6d122279dea43a18bd2f0041a79a944b505eef7ac67899e3e607616896f2","schema_version":"1.0","event_id":"sha256:ec2a6d122279dea43a18bd2f0041a79a944b505eef7ac67899e3e607616896f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RIFBZKMUR7ZV23ZC6WRTBXP2RS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bunches of Random Cross-correlated Sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A.A. Maystrenko, G.M. Pritula, O.V. Usatenko, S.S. Melnik","submitted_at":"2013-07-01T18:24:59Z","abstract_excerpt":"Statistical properties of random cross-correlated sequences constructed by the convolution method (likewise referred to as the Rice's or the inverse Fourier transformation) are examined. Algorithms for their generation are discussed. They are frequently reduced to solving the problem for decomposition of the Fourier transform of the correlation matrix into a product of two mutually conjugate matrices; different decompositions of the correlation matrix are considered. The limits of weak and strong correlations for the one-point probability and pair correlation functions of the sequences are stu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0464","kind":"arxiv","version":1},"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":"2026-05-18T01:49:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EKeBDKjq7wP6fejwvp/0PZ0hMZfhpP1peLfopsxx3ClY8UMWEtGqa9qIB8fD1U0/L9p0vZ10ZQjGebEt6dIDAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T06:55:14.898308Z"},"content_sha256":"108512c2961a4067abe63680c5ceb3e00e520186273dd4d9ccb9174953ba66a8","schema_version":"1.0","event_id":"sha256:108512c2961a4067abe63680c5ceb3e00e520186273dd4d9ccb9174953ba66a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RIFBZKMUR7ZV23ZC6WRTBXP2RS/bundle.json","state_url":"https://pith.science/pith/RIFBZKMUR7ZV23ZC6WRTBXP2RS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RIFBZKMUR7ZV23ZC6WRTBXP2RS/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":"2026-06-27T06:55:14Z","links":{"resolver":"https://pith.science/pith/RIFBZKMUR7ZV23ZC6WRTBXP2RS","bundle":"https://pith.science/pith/RIFBZKMUR7ZV23ZC6WRTBXP2RS/bundle.json","state":"https://pith.science/pith/RIFBZKMUR7ZV23ZC6WRTBXP2RS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RIFBZKMUR7ZV23ZC6WRTBXP2RS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RIFBZKMUR7ZV23ZC6WRTBXP2RS","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":"ccb11c6186de4610d38bed68ebf4b8888bd5b7ef1539a851725c895f3d7c75c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-07-01T18:24:59Z","title_canon_sha256":"feb6c9a60f61ef839dee42a21363504c7285d28377ca99f5ee74ef1c7cdc3a39"},"schema_version":"1.0","source":{"id":"1307.0464","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.0464","created_at":"2026-05-18T01:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1307.0464v1","created_at":"2026-05-18T01:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0464","created_at":"2026-05-18T01:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"RIFBZKMUR7ZV","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RIFBZKMUR7ZV23ZC","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RIFBZKMU","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:108512c2961a4067abe63680c5ceb3e00e520186273dd4d9ccb9174953ba66a8","target":"graph","created_at":"2026-05-18T01:49:01Z","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":"Statistical properties of random cross-correlated sequences constructed by the convolution method (likewise referred to as the Rice's or the inverse Fourier transformation) are examined. Algorithms for their generation are discussed. They are frequently reduced to solving the problem for decomposition of the Fourier transform of the correlation matrix into a product of two mutually conjugate matrices; different decompositions of the correlation matrix are considered. The limits of weak and strong correlations for the one-point probability and pair correlation functions of the sequences are stu","authors_text":"A.A. Maystrenko, G.M. Pritula, O.V. Usatenko, S.S. Melnik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-07-01T18:24:59Z","title":"Bunches of Random Cross-correlated Sequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0464","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:ec2a6d122279dea43a18bd2f0041a79a944b505eef7ac67899e3e607616896f2","target":"record","created_at":"2026-05-18T01:49:01Z","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":"ccb11c6186de4610d38bed68ebf4b8888bd5b7ef1539a851725c895f3d7c75c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-07-01T18:24:59Z","title_canon_sha256":"feb6c9a60f61ef839dee42a21363504c7285d28377ca99f5ee74ef1c7cdc3a39"},"schema_version":"1.0","source":{"id":"1307.0464","kind":"arxiv","version":1}},"canonical_sha256":"8a0a1ca9948ff35d6f22f5a330ddfa8cbdbc6c86b3dd28a4ca500bea84c189a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a0a1ca9948ff35d6f22f5a330ddfa8cbdbc6c86b3dd28a4ca500bea84c189a7","first_computed_at":"2026-05-18T01:49:01.067821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:01.067821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"He2onLKbpjcOZtqNKQB86ooAzWxo7PFRhRZziZatL7092gPgr8D89tZAAA+H2bRcmhr8BC0/A2RdSBh4h1ULBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:01.068343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.0464","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec2a6d122279dea43a18bd2f0041a79a944b505eef7ac67899e3e607616896f2","sha256:108512c2961a4067abe63680c5ceb3e00e520186273dd4d9ccb9174953ba66a8"],"state_sha256":"a5cffeb22de8eb644525cc85507799868e1eb32b35c200c35486edcdf7a92005"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8l9u5evhHkEtg8sfD1joABCkm2tXF96p5lqdO5IjA8x4wIJ1zw7ZnbKQIh0xmtEi1PcCYDRSiWTuLD9l9zkNBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T06:55:14.900235Z","bundle_sha256":"2ed59454cfc71e7f763ebbbfbfce10a1dd8ff5500bea6f525266ec60ccd7e4fd"}}