{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UWAT32UROBQXUULTZJWWOPAY2K","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":"109028d1707be5314afca165891bebc02a5371d0167e1ad400c0fa640001fd41","cross_cats_sorted":["math.ST","stat.AP","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-08-19T05:27:09Z","title_canon_sha256":"26d739ec53b48df6c4203c9c24c5b9e2f72f1e46b676fa3b9d4bca402e56a7a8"},"schema_version":"1.0","source":{"id":"1308.3925","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3925","created_at":"2026-05-18T01:48:14Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3925v2","created_at":"2026-05-18T01:48:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3925","created_at":"2026-05-18T01:48:14Z"},{"alias_kind":"pith_short_12","alias_value":"UWAT32UROBQX","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UWAT32UROBQXUULT","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UWAT32UR","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:c5953f8ee3140847585b53530d1df1ba249f7ab2661abec08e77484f07cfaf66","target":"graph","created_at":"2026-05-18T01:48:14Z","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":"High-dimensional, large-sample astrophysical databases of galaxy clusters, such as the Chandra Deep Field South COMBO-17 database, provide measurements on many variables for thousands of galaxies and a range of redshifts. Current understanding of galaxy formation and evolution rests sensitively on relationships between different astrophysical variables; hence an ability to detect and verify associations or correlations between variables is important in astrophysical research. In this paper, we apply a recently defined statistical measure called the distance correlation coefficient which can be","authors_text":"Donald St. P. Richards, Elizabeth Martinez-Gomez, Mercedes T. Richards","cross_cats":["math.ST","stat.AP","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-08-19T05:27:09Z","title":"Distance Correlation Methods for Discovering Associations in Large Astrophysical Databases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3925","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":"sha256:4f031e95f26d2baa208c8df6e20a1f11fa887d35bf71389512167bf248dcc836","target":"record","created_at":"2026-05-18T01:48:14Z","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":"109028d1707be5314afca165891bebc02a5371d0167e1ad400c0fa640001fd41","cross_cats_sorted":["math.ST","stat.AP","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-08-19T05:27:09Z","title_canon_sha256":"26d739ec53b48df6c4203c9c24c5b9e2f72f1e46b676fa3b9d4bca402e56a7a8"},"schema_version":"1.0","source":{"id":"1308.3925","kind":"arxiv","version":2}},"canonical_sha256":"a5813dea9170617a5173ca6d673c18d2aa8037429410babcc263413375f6d7ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5813dea9170617a5173ca6d673c18d2aa8037429410babcc263413375f6d7ae","first_computed_at":"2026-05-18T01:48:14.157262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:14.157262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jdjxGwzncIe1+VK6s1KYi3sMUwRIJR2yW1gKn2ksVxQE0xqeS7yb/jnWku+jUJod9doNBUwnpJd84MKqCVEuCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:14.157957Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.3925","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f031e95f26d2baa208c8df6e20a1f11fa887d35bf71389512167bf248dcc836","sha256:c5953f8ee3140847585b53530d1df1ba249f7ab2661abec08e77484f07cfaf66"],"state_sha256":"d965fd50ac716f4c4e54e0f2bb3d700009d8cd83b409f59fbe95f021ba72286f"}