{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NIA3Q45YP6KGDKL3ZX6MAB6UTV","short_pith_number":"pith:NIA3Q45Y","canonical_record":{"source":{"id":"1701.06054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-21T17:22:01Z","cross_cats_sorted":[],"title_canon_sha256":"08d95e5642a32e176f8a3157b4797a35673b146f648a160c5aa196a3a6fd54b5","abstract_canon_sha256":"bc93219c74c0f49d93c1143c5815ad83016d8ef93eda0147e8037afc87717fe7"},"schema_version":"1.0"},"canonical_sha256":"6a01b873b87f9461a97bcdfcc007d49d56b067c44999b8cd96a5c28cc7b82dc7","source":{"kind":"arxiv","id":"1701.06054","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06054","created_at":"2026-05-18T00:52:19Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06054v1","created_at":"2026-05-18T00:52:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06054","created_at":"2026-05-18T00:52:19Z"},{"alias_kind":"pith_short_12","alias_value":"NIA3Q45YP6KG","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NIA3Q45YP6KGDKL3","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NIA3Q45Y","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NIA3Q45YP6KGDKL3ZX6MAB6UTV","target":"record","payload":{"canonical_record":{"source":{"id":"1701.06054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-21T17:22:01Z","cross_cats_sorted":[],"title_canon_sha256":"08d95e5642a32e176f8a3157b4797a35673b146f648a160c5aa196a3a6fd54b5","abstract_canon_sha256":"bc93219c74c0f49d93c1143c5815ad83016d8ef93eda0147e8037afc87717fe7"},"schema_version":"1.0"},"canonical_sha256":"6a01b873b87f9461a97bcdfcc007d49d56b067c44999b8cd96a5c28cc7b82dc7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:19.481677Z","signature_b64":"Qk/Dww2FU8MnkHyyuWhj/J0GnQ9IglNh9ol9AiQ2bhA+H/e20h12csQOLx8zg5ASCwiugjEMV0G/mp1tUQ8TCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a01b873b87f9461a97bcdfcc007d49d56b067c44999b8cd96a5c28cc7b82dc7","last_reissued_at":"2026-05-18T00:52:19.481173Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:19.481173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.06054","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eEzQcW9IUKCsgFB5XQZ8NHauMrl/M3SAO2scA3WgRIyvITp6QfdBL/gfYQ14QJkjI6E+2BKVIMyUzrMA5wVHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:51:40.824733Z"},"content_sha256":"7e54183d053e54aed9903b1af7661a11d14cf63070196572b52866d5401dddb0","schema_version":"1.0","event_id":"sha256:7e54183d053e54aed9903b1af7661a11d14cf63070196572b52866d5401dddb0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NIA3Q45YP6KGDKL3ZX6MAB6UTV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Statistically and Numerically Efficient Independence Test based on Random Projections and Distance Covariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Cheng Huang, Xiaoming Huo","submitted_at":"2017-01-21T17:22:01Z","abstract_excerpt":"Test of independence plays a fundamental role in many statistical techniques. Among the nonparametric approaches, the distance-based methods (such as the distance correlation based hypotheses testing for independence) have numerous advantages, comparing with many other alternatives. A known limitation of the distance-based method is that its computational complexity can be high. In general, when the sample size is $n$, the order of computational complexity of a distance-based method, which typically requires computing of all pairwise distances, can be $O(n^2)$. Recent advances have discovered "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06054","kind":"arxiv","version":1},"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":"2026-05-18T00:52:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gTOfoUU2mU404T2DqHQDpFZBo9ee5OCpqMfHtBUqpxbPZnFdnv9HLkAsN2//wgK56bFOpMXj2bEKZz1u77zABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:51:40.825098Z"},"content_sha256":"4eb937d03574701bfbb34e58b9d831d97e47b9c28e4556e6eeff997bef3be7b1","schema_version":"1.0","event_id":"sha256:4eb937d03574701bfbb34e58b9d831d97e47b9c28e4556e6eeff997bef3be7b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NIA3Q45YP6KGDKL3ZX6MAB6UTV/bundle.json","state_url":"https://pith.science/pith/NIA3Q45YP6KGDKL3ZX6MAB6UTV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NIA3Q45YP6KGDKL3ZX6MAB6UTV/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":"2026-05-28T11:51:40Z","links":{"resolver":"https://pith.science/pith/NIA3Q45YP6KGDKL3ZX6MAB6UTV","bundle":"https://pith.science/pith/NIA3Q45YP6KGDKL3ZX6MAB6UTV/bundle.json","state":"https://pith.science/pith/NIA3Q45YP6KGDKL3ZX6MAB6UTV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NIA3Q45YP6KGDKL3ZX6MAB6UTV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NIA3Q45YP6KGDKL3ZX6MAB6UTV","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":"bc93219c74c0f49d93c1143c5815ad83016d8ef93eda0147e8037afc87717fe7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-21T17:22:01Z","title_canon_sha256":"08d95e5642a32e176f8a3157b4797a35673b146f648a160c5aa196a3a6fd54b5"},"schema_version":"1.0","source":{"id":"1701.06054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06054","created_at":"2026-05-18T00:52:19Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06054v1","created_at":"2026-05-18T00:52:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06054","created_at":"2026-05-18T00:52:19Z"},{"alias_kind":"pith_short_12","alias_value":"NIA3Q45YP6KG","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NIA3Q45YP6KGDKL3","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NIA3Q45Y","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:4eb937d03574701bfbb34e58b9d831d97e47b9c28e4556e6eeff997bef3be7b1","target":"graph","created_at":"2026-05-18T00:52:19Z","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":"Test of independence plays a fundamental role in many statistical techniques. Among the nonparametric approaches, the distance-based methods (such as the distance correlation based hypotheses testing for independence) have numerous advantages, comparing with many other alternatives. A known limitation of the distance-based method is that its computational complexity can be high. In general, when the sample size is $n$, the order of computational complexity of a distance-based method, which typically requires computing of all pairwise distances, can be $O(n^2)$. Recent advances have discovered ","authors_text":"Cheng Huang, Xiaoming Huo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-21T17:22:01Z","title":"A Statistically and Numerically Efficient Independence Test based on Random Projections and Distance Covariance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06054","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":"sha256:7e54183d053e54aed9903b1af7661a11d14cf63070196572b52866d5401dddb0","target":"record","created_at":"2026-05-18T00:52:19Z","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":"bc93219c74c0f49d93c1143c5815ad83016d8ef93eda0147e8037afc87717fe7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-21T17:22:01Z","title_canon_sha256":"08d95e5642a32e176f8a3157b4797a35673b146f648a160c5aa196a3a6fd54b5"},"schema_version":"1.0","source":{"id":"1701.06054","kind":"arxiv","version":1}},"canonical_sha256":"6a01b873b87f9461a97bcdfcc007d49d56b067c44999b8cd96a5c28cc7b82dc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a01b873b87f9461a97bcdfcc007d49d56b067c44999b8cd96a5c28cc7b82dc7","first_computed_at":"2026-05-18T00:52:19.481173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:19.481173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qk/Dww2FU8MnkHyyuWhj/J0GnQ9IglNh9ol9AiQ2bhA+H/e20h12csQOLx8zg5ASCwiugjEMV0G/mp1tUQ8TCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:19.481677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.06054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e54183d053e54aed9903b1af7661a11d14cf63070196572b52866d5401dddb0","sha256:4eb937d03574701bfbb34e58b9d831d97e47b9c28e4556e6eeff997bef3be7b1"],"state_sha256":"5da2a20000f4386d9881aa12ab6c9e6b93d1d958038fd47bdd17b47ea8a5d722"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4ohylBzl/7+y7uo5UgKhesq3yZp3AQ/I5yNd9S3IMN2j+97pAooDP6dHW+1vVzO+yhtIyeFE9fw509TXcCTMCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:51:40.827082Z","bundle_sha256":"e1728fccb890c5f04258c9afc6e226e99afc84386aced22b9041ec0d7e32317b"}}