{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DZGQCCAHTCHBEGY6QNBRYSHRYR","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":"2dd8ed8b6bc08502db8ce0668f487879a0ad34bc45e461497b07e3a796f42bed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-04-29T17:27:50Z","title_canon_sha256":"1155dd61f841612d027597d09afaf66a70467d24fe168dadb6f77ab4a3e81b07"},"schema_version":"1.0","source":{"id":"1304.7717","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.7717","created_at":"2026-05-18T03:22:05Z"},{"alias_kind":"arxiv_version","alias_value":"1304.7717v2","created_at":"2026-05-18T03:22:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7717","created_at":"2026-05-18T03:22:05Z"},{"alias_kind":"pith_short_12","alias_value":"DZGQCCAHTCHB","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DZGQCCAHTCHBEGY6","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DZGQCCAH","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:e74c4def92c040360f88c0f09c60cda640aad67d688d3030bdaf733388e8ffca","target":"graph","created_at":"2026-05-18T03:22:05Z","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"},"paper":{"abstract_excerpt":"We introduce the Randomized Dependence Coefficient (RDC), a measure of non-linear dependence between random variables of arbitrary dimension based on the Hirschfeld-Gebelein-R\\'enyi Maximum Correlation Coefficient. RDC is defined in terms of correlation of random non-linear copula projections; it is invariant with respect to marginal distribution transformations, has low computational cost and is easy to implement: just five lines of R code, included at the end of the paper.","authors_text":"Bernhard Sch\\\"olkopf, David Lopez-Paz, Philipp Hennig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-04-29T17:27:50Z","title":"The Randomized Dependence Coefficient"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7717","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:f23577d06c230b3fc816212599077899aa0b680a04b5e478c129d36569400c34","target":"record","created_at":"2026-05-18T03:22:05Z","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":"2dd8ed8b6bc08502db8ce0668f487879a0ad34bc45e461497b07e3a796f42bed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-04-29T17:27:50Z","title_canon_sha256":"1155dd61f841612d027597d09afaf66a70467d24fe168dadb6f77ab4a3e81b07"},"schema_version":"1.0","source":{"id":"1304.7717","kind":"arxiv","version":2}},"canonical_sha256":"1e4d010807988e121b1e83431c48f1c45daa24ad481a2553fc14e93892ac0e45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e4d010807988e121b1e83431c48f1c45daa24ad481a2553fc14e93892ac0e45","first_computed_at":"2026-05-18T03:22:05.125379Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:05.125379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C9tSr/dVbSGPzFu5IBt80grgjim/NKR1RzoYO5oqmNCenGwzSDKeTqpYguGOR4P5qZI6ePu0ZXHjum8nrsGABw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:05.126161Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.7717","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f23577d06c230b3fc816212599077899aa0b680a04b5e478c129d36569400c34","sha256:e74c4def92c040360f88c0f09c60cda640aad67d688d3030bdaf733388e8ffca"],"state_sha256":"beac4da12ef38a808fbbdd61e370d96fe57a9b02ce899f9d60b88474761960d1"}