{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:UHKQJZUIO53RFB6EZTYJORCDJW","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":"3e3097b8e27bfe38c0422987c3348039e9394f0a9d218a35ed7b18ff83261bd8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-03-29T12:13:53Z","title_canon_sha256":"050224e5e2042278eed3e0638f2a738e5046d46e7150def0f48587753eaedc81"},"schema_version":"1.0","source":{"id":"1203.6502","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6502","created_at":"2026-05-18T03:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6502v2","created_at":"2026-05-18T03:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6502","created_at":"2026-05-18T03:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"UHKQJZUIO53R","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"UHKQJZUIO53RFB6E","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"UHKQJZUI","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:efbc0223b8759fb96e37fbc86e5ea33bcf1f73ce3e4150137a9099f91f1df90d","target":"graph","created_at":"2026-05-18T03:00:59Z","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":"Many methods for causal inference generate directed acyclic graphs (DAGs) that formalize causal relations between $n$ variables. Given the joint distribution on all these variables, the DAG contains all information about how intervening on one variable changes the distribution of the other $n-1$ variables. However, quantifying the causal influence of one variable on another one remains a nontrivial question. Here we propose a set of natural, intuitive postulates that a measure of causal strength should satisfy. We then introduce a communication scenario, where edges in a DAG play the role of c","authors_text":"Bernhard Sch\\\"olkopf, David Balduzzi, Dominik Janzing, Moritz Grosse-Wentrup","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-03-29T12:13:53Z","title":"Quantifying causal influences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6502","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:a3ff938ee9c80551b4258f792c3d74d74ba0c30a738daa4e3a3cb697ff03e389","target":"record","created_at":"2026-05-18T03:00:59Z","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":"3e3097b8e27bfe38c0422987c3348039e9394f0a9d218a35ed7b18ff83261bd8","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-03-29T12:13:53Z","title_canon_sha256":"050224e5e2042278eed3e0638f2a738e5046d46e7150def0f48587753eaedc81"},"schema_version":"1.0","source":{"id":"1203.6502","kind":"arxiv","version":2}},"canonical_sha256":"a1d504e68877771287c4ccf09744434dbc576e8ce4f5c688654f98d19ab38784","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1d504e68877771287c4ccf09744434dbc576e8ce4f5c688654f98d19ab38784","first_computed_at":"2026-05-18T03:00:59.310176Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:59.310176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GLoaCbihrXj9h/smKcuH6KollC4P01KEV+ifqLDMoK6lP+9DNM8Lodd3NY8nXhDzwcVg3QmAAPXw24c0bmgDBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:59.310687Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6502","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3ff938ee9c80551b4258f792c3d74d74ba0c30a738daa4e3a3cb697ff03e389","sha256:efbc0223b8759fb96e37fbc86e5ea33bcf1f73ce3e4150137a9099f91f1df90d"],"state_sha256":"8b97f63ab3cbdd6fb467bab86f3a2c2c3e0b21e03d19f1b69cbb78ad9321d455"}