{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EIYJHSCIZMT4LSFARMLULK77OS","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":"5f2823e98de3c0eb73cf6d5ffd4517c7229bb1500ceb41624860dc2626ea6fc3","cross_cats_sorted":["q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2017-12-20T02:44:42Z","title_canon_sha256":"18944418cf2012498fbe5a40336890642f8e8fdafbf1db44379130de9b7166af"},"schema_version":"1.0","source":{"id":"1712.07292","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.07292","created_at":"2026-05-18T00:02:35Z"},{"alias_kind":"arxiv_version","alias_value":"1712.07292v1","created_at":"2026-05-18T00:02:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07292","created_at":"2026-05-18T00:02:35Z"},{"alias_kind":"pith_short_12","alias_value":"EIYJHSCIZMT4","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EIYJHSCIZMT4LSFA","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EIYJHSCI","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:d709bb42fbd866fa77ef7702d9f4ce0666429f6683c25f25321c4fe8bd65c935","target":"graph","created_at":"2026-05-18T00:02:35Z","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":"Inference of causality in time series has been principally based on the prediction paradigm. Nonetheless, the predictive causality approach may overlook the simultaneous and reciprocal nature of causal interactions observed in real world phenomena. Here, we present a causal decomposition approach that is not based on prediction, but based on the instantaneous phase dependency between the intrinsic components of a decomposed time series. The method involves two assumptions: (1) any cause effect relationship can be quantified with instantaneous phase dependency between the source and target deco","authors_text":"Albert C. Yang, Chung-Kang Peng, Norden E. Huang","cross_cats":["q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2017-12-20T02:44:42Z","title":"Causal Decomposition in the Mutual Causation System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07292","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":"sha256:33a17d1b51c49fae06e976bd2282dfa9f792879ac924b33e8948e4ddd722adcf","target":"record","created_at":"2026-05-18T00:02:35Z","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":"5f2823e98de3c0eb73cf6d5ffd4517c7229bb1500ceb41624860dc2626ea6fc3","cross_cats_sorted":["q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2017-12-20T02:44:42Z","title_canon_sha256":"18944418cf2012498fbe5a40336890642f8e8fdafbf1db44379130de9b7166af"},"schema_version":"1.0","source":{"id":"1712.07292","kind":"arxiv","version":1}},"canonical_sha256":"223093c848cb27c5c8a08b1745abff748e9946505ddc4b455401092d403a4c71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"223093c848cb27c5c8a08b1745abff748e9946505ddc4b455401092d403a4c71","first_computed_at":"2026-05-18T00:02:35.877414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:35.877414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y0Hitb+qgnYUU8E9QjBA/HRabbrJf0jjv3LilfpFB6ahAGqNuBbl1YMETxKdCyNtp+A0NQdrs+q8lcz5WnlAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:35.878114Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.07292","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33a17d1b51c49fae06e976bd2282dfa9f792879ac924b33e8948e4ddd722adcf","sha256:d709bb42fbd866fa77ef7702d9f4ce0666429f6683c25f25321c4fe8bd65c935"],"state_sha256":"6a8db0d331b773d5ea3f2c4fccde125007f1aa81b875dba5fc98de88cc24f60d"}