{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FVEJTQ42F2E24BIG6W45CERWZA","short_pith_number":"pith:FVEJTQ42","canonical_record":{"source":{"id":"1403.3371","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2014-03-13T19:01:28Z","cross_cats_sorted":["cs.LG","stat.AP"],"title_canon_sha256":"2687d2279b4395d09624c62b8c14c0e59a24ab9daf0319ee2f0c726b483467a5","abstract_canon_sha256":"c2396d49390a744715bc963e2226883fe4a0eb41fa29ab020c26e8d3faff7d63"},"schema_version":"1.0"},"canonical_sha256":"2d4899c39a2e89ae0506f5b9d11236c810133d620ef4b64f136b9631ee5ee591","source":{"kind":"arxiv","id":"1403.3371","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3371","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3371v2","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3371","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"pith_short_12","alias_value":"FVEJTQ42F2E2","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FVEJTQ42F2E24BIG","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FVEJTQ42","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FVEJTQ42F2E24BIG6W45CERWZA","target":"record","payload":{"canonical_record":{"source":{"id":"1403.3371","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2014-03-13T19:01:28Z","cross_cats_sorted":["cs.LG","stat.AP"],"title_canon_sha256":"2687d2279b4395d09624c62b8c14c0e59a24ab9daf0319ee2f0c726b483467a5","abstract_canon_sha256":"c2396d49390a744715bc963e2226883fe4a0eb41fa29ab020c26e8d3faff7d63"},"schema_version":"1.0"},"canonical_sha256":"2d4899c39a2e89ae0506f5b9d11236c810133d620ef4b64f136b9631ee5ee591","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:32.051591Z","signature_b64":"aVwIFByuihxdCOhYgfoEzMIhR4fZu/Tskgc8cUzlEIUeOAdaSmZJSeSTyIL1gpUpYxdRpn61JZcLtVwk/+pNDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d4899c39a2e89ae0506f5b9d11236c810133d620ef4b64f136b9631ee5ee591","last_reissued_at":"2026-05-18T02:54:32.050999Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:32.050999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.3371","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":"2026-05-18T02:54:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"72rDoiVE59LMweSkvjAb7NcViaV0YZXYWroXsdLoDUiBt+Lzg9jEJi8nyx0GfmWh4PVF4XB3gEgWX3U7BfLCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:08:33.179921Z"},"content_sha256":"9c0d3aaf574f8842531f64924772c1b92eee9900cd9879b96141258019130498","schema_version":"1.0","event_id":"sha256:9c0d3aaf574f8842531f64924772c1b92eee9900cd9879b96141258019130498"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FVEJTQ42F2E24BIG6W45CERWZA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral Correlation Hub Screening of Multivariate Time Series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","stat.AP"],"primary_cat":"stat.OT","authors_text":"Alfred O. Hero III, Dennis Wei, Hamed Firouzi","submitted_at":"2014-03-13T19:01:28Z","abstract_excerpt":"This chapter discusses correlation analysis of stationary multivariate Gaussian time series in the spectral or Fourier domain. The goal is to identify the hub time series, i.e., those that are highly correlated with a specified number of other time series. We show that Fourier components of the time series at different frequencies are asymptotically statistically independent. This property permits independent correlation analysis at each frequency, alleviating the computational and statistical challenges of high-dimensional time series. To detect correlation hubs at each frequency, an existing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3371","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":"2026-05-18T02:54:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uUJ2JUIg4IQPsfzFBsZklZNuZkJTeOqZnbnV2mQm+EcKRsF1tfurGU7sAyJCGazYrDEaOhgfzTeyRMh1Kt7XBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:08:33.180664Z"},"content_sha256":"141b11e928c44a44101bf6eaf01437d07c07722ddb1a4baad3218e6b70ddadca","schema_version":"1.0","event_id":"sha256:141b11e928c44a44101bf6eaf01437d07c07722ddb1a4baad3218e6b70ddadca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FVEJTQ42F2E24BIG6W45CERWZA/bundle.json","state_url":"https://pith.science/pith/FVEJTQ42F2E24BIG6W45CERWZA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FVEJTQ42F2E24BIG6W45CERWZA/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":"2026-06-08T06:08:33Z","links":{"resolver":"https://pith.science/pith/FVEJTQ42F2E24BIG6W45CERWZA","bundle":"https://pith.science/pith/FVEJTQ42F2E24BIG6W45CERWZA/bundle.json","state":"https://pith.science/pith/FVEJTQ42F2E24BIG6W45CERWZA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FVEJTQ42F2E24BIG6W45CERWZA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FVEJTQ42F2E24BIG6W45CERWZA","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":"c2396d49390a744715bc963e2226883fe4a0eb41fa29ab020c26e8d3faff7d63","cross_cats_sorted":["cs.LG","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2014-03-13T19:01:28Z","title_canon_sha256":"2687d2279b4395d09624c62b8c14c0e59a24ab9daf0319ee2f0c726b483467a5"},"schema_version":"1.0","source":{"id":"1403.3371","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3371","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3371v2","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3371","created_at":"2026-05-18T02:54:32Z"},{"alias_kind":"pith_short_12","alias_value":"FVEJTQ42F2E2","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FVEJTQ42F2E24BIG","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FVEJTQ42","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:141b11e928c44a44101bf6eaf01437d07c07722ddb1a4baad3218e6b70ddadca","target":"graph","created_at":"2026-05-18T02:54:32Z","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":"This chapter discusses correlation analysis of stationary multivariate Gaussian time series in the spectral or Fourier domain. The goal is to identify the hub time series, i.e., those that are highly correlated with a specified number of other time series. We show that Fourier components of the time series at different frequencies are asymptotically statistically independent. This property permits independent correlation analysis at each frequency, alleviating the computational and statistical challenges of high-dimensional time series. To detect correlation hubs at each frequency, an existing","authors_text":"Alfred O. Hero III, Dennis Wei, Hamed Firouzi","cross_cats":["cs.LG","stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2014-03-13T19:01:28Z","title":"Spectral Correlation Hub Screening of Multivariate Time Series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3371","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":"sha256:9c0d3aaf574f8842531f64924772c1b92eee9900cd9879b96141258019130498","target":"record","created_at":"2026-05-18T02:54:32Z","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":"c2396d49390a744715bc963e2226883fe4a0eb41fa29ab020c26e8d3faff7d63","cross_cats_sorted":["cs.LG","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.OT","submitted_at":"2014-03-13T19:01:28Z","title_canon_sha256":"2687d2279b4395d09624c62b8c14c0e59a24ab9daf0319ee2f0c726b483467a5"},"schema_version":"1.0","source":{"id":"1403.3371","kind":"arxiv","version":2}},"canonical_sha256":"2d4899c39a2e89ae0506f5b9d11236c810133d620ef4b64f136b9631ee5ee591","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d4899c39a2e89ae0506f5b9d11236c810133d620ef4b64f136b9631ee5ee591","first_computed_at":"2026-05-18T02:54:32.050999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:32.050999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aVwIFByuihxdCOhYgfoEzMIhR4fZu/Tskgc8cUzlEIUeOAdaSmZJSeSTyIL1gpUpYxdRpn61JZcLtVwk/+pNDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:32.051591Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.3371","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c0d3aaf574f8842531f64924772c1b92eee9900cd9879b96141258019130498","sha256:141b11e928c44a44101bf6eaf01437d07c07722ddb1a4baad3218e6b70ddadca"],"state_sha256":"2ad5692181ae5edca6ab2b4f3ec120c99d34f8fb2cba86df2f752beddb823e68"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/6XWzIDn+fVnNE6XTlD7eJmKg/vPFhv06ESWua5WeEpa1cphwIfT5PWOlolbT+kJ88AqlQLfI6gtvmmA0+pdAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T06:08:33.184483Z","bundle_sha256":"4c0bfe932fc5daacea9eb6a1a566c7b7624d6c51db0847b24d0238f9e9a59a8c"}}