{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4KGSKGWRS24T6MZXP6NXGNHAXL","short_pith_number":"pith:4KGSKGWR","canonical_record":{"source":{"id":"1402.4501","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"stat.ML","submitted_at":"2014-02-18T21:37:00Z","cross_cats_sorted":[],"title_canon_sha256":"edad4ea55d5da6c1594a9378cb95aa29f90bfb58fce443710b6ee7af35de6b26","abstract_canon_sha256":"c07c1d6b5cf051bd5670896e2a3f213d724a202f0ed6e8176ff1ef6874757ae6"},"schema_version":"1.0"},"canonical_sha256":"e28d251ad196b93f33377f9b7334e0bac99bbe25254c9fc4f385e47e29b0c3d0","source":{"kind":"arxiv","id":"1402.4501","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4501","created_at":"2026-05-18T02:49:38Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4501v3","created_at":"2026-05-18T02:49:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4501","created_at":"2026-05-18T02:49:38Z"},{"alias_kind":"pith_short_12","alias_value":"4KGSKGWRS24T","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4KGSKGWRS24T6MZX","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4KGSKGWR","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4KGSKGWRS24T6MZXP6NXGNHAXL","target":"record","payload":{"canonical_record":{"source":{"id":"1402.4501","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"stat.ML","submitted_at":"2014-02-18T21:37:00Z","cross_cats_sorted":[],"title_canon_sha256":"edad4ea55d5da6c1594a9378cb95aa29f90bfb58fce443710b6ee7af35de6b26","abstract_canon_sha256":"c07c1d6b5cf051bd5670896e2a3f213d724a202f0ed6e8176ff1ef6874757ae6"},"schema_version":"1.0"},"canonical_sha256":"e28d251ad196b93f33377f9b7334e0bac99bbe25254c9fc4f385e47e29b0c3d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:38.706657Z","signature_b64":"ObRM8zSrPhdBCzj//xLC3hKf3ZX8t0xytZ0YTv3xJ5pwWyvrHchtgQyK4mQPAySWKdiclc3uANMX3yr8XR8zAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e28d251ad196b93f33377f9b7334e0bac99bbe25254c9fc4f385e47e29b0c3d0","last_reissued_at":"2026-05-18T02:49:38.706298Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:38.706298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.4501","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:49:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I/q0VS/Qk92QYvvucCxit0cvFST/vJAaa12J3B7T/pghlotT8QPhUfB4xhZMMwe25DhRzf7ZLLJvv4tZPPFOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:12:28.804094Z"},"content_sha256":"da5e799eecb5f2d00ff91be84cbf1e08609d330f9031c6b40ca0fd2660bd49c3","schema_version":"1.0","event_id":"sha256:da5e799eecb5f2d00ff91be84cbf1e08609d330f9031c6b40ca0fd2660bd49c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4KGSKGWRS24T6MZXP6NXGNHAXL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Kernel Independence Test for Random Processes","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Arthur Gretton, Kacper Chwialkowski","submitted_at":"2014-02-18T21:37:00Z","abstract_excerpt":"A new non parametric approach to the problem of testing the independence of two random process is developed. The test statistic is the Hilbert Schmidt Independence Criterion (HSIC), which was used previously in testing independence for i.i.d pairs of variables. The asymptotic behaviour of HSIC is established when computed from samples drawn from random processes. It is shown that earlier bootstrap procedures which worked in the i.i.d. case will fail for random processes, and an alternative consistent estimate of the p-values is proposed. Tests on artificial data and real-world Forex data indic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4501","kind":"arxiv","version":3},"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":"2026-05-18T02:49:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nwh04uhAr7pyMJBAbkDMdZztny9u+dVHIjwCq4YkxYCJfUtaakUPAgeNZebCm/aiALlMoHXMeKJWnC8PEV1EBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:12:28.804450Z"},"content_sha256":"6c518f46c4c380a3a7f8658feb3e3cb7fc291531333c83fbe30c1d5da5348c7d","schema_version":"1.0","event_id":"sha256:6c518f46c4c380a3a7f8658feb3e3cb7fc291531333c83fbe30c1d5da5348c7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4KGSKGWRS24T6MZXP6NXGNHAXL/bundle.json","state_url":"https://pith.science/pith/4KGSKGWRS24T6MZXP6NXGNHAXL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4KGSKGWRS24T6MZXP6NXGNHAXL/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":"2026-06-01T17:12:28Z","links":{"resolver":"https://pith.science/pith/4KGSKGWRS24T6MZXP6NXGNHAXL","bundle":"https://pith.science/pith/4KGSKGWRS24T6MZXP6NXGNHAXL/bundle.json","state":"https://pith.science/pith/4KGSKGWRS24T6MZXP6NXGNHAXL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4KGSKGWRS24T6MZXP6NXGNHAXL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4KGSKGWRS24T6MZXP6NXGNHAXL","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":"c07c1d6b5cf051bd5670896e2a3f213d724a202f0ed6e8176ff1ef6874757ae6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"stat.ML","submitted_at":"2014-02-18T21:37:00Z","title_canon_sha256":"edad4ea55d5da6c1594a9378cb95aa29f90bfb58fce443710b6ee7af35de6b26"},"schema_version":"1.0","source":{"id":"1402.4501","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4501","created_at":"2026-05-18T02:49:38Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4501v3","created_at":"2026-05-18T02:49:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4501","created_at":"2026-05-18T02:49:38Z"},{"alias_kind":"pith_short_12","alias_value":"4KGSKGWRS24T","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4KGSKGWRS24T6MZX","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4KGSKGWR","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:6c518f46c4c380a3a7f8658feb3e3cb7fc291531333c83fbe30c1d5da5348c7d","target":"graph","created_at":"2026-05-18T02:49:38Z","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":"A new non parametric approach to the problem of testing the independence of two random process is developed. The test statistic is the Hilbert Schmidt Independence Criterion (HSIC), which was used previously in testing independence for i.i.d pairs of variables. The asymptotic behaviour of HSIC is established when computed from samples drawn from random processes. It is shown that earlier bootstrap procedures which worked in the i.i.d. case will fail for random processes, and an alternative consistent estimate of the p-values is proposed. Tests on artificial data and real-world Forex data indic","authors_text":"Arthur Gretton, Kacper Chwialkowski","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"stat.ML","submitted_at":"2014-02-18T21:37:00Z","title":"A Kernel Independence Test for Random Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4501","kind":"arxiv","version":3},"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:da5e799eecb5f2d00ff91be84cbf1e08609d330f9031c6b40ca0fd2660bd49c3","target":"record","created_at":"2026-05-18T02:49:38Z","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":"c07c1d6b5cf051bd5670896e2a3f213d724a202f0ed6e8176ff1ef6874757ae6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"stat.ML","submitted_at":"2014-02-18T21:37:00Z","title_canon_sha256":"edad4ea55d5da6c1594a9378cb95aa29f90bfb58fce443710b6ee7af35de6b26"},"schema_version":"1.0","source":{"id":"1402.4501","kind":"arxiv","version":3}},"canonical_sha256":"e28d251ad196b93f33377f9b7334e0bac99bbe25254c9fc4f385e47e29b0c3d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e28d251ad196b93f33377f9b7334e0bac99bbe25254c9fc4f385e47e29b0c3d0","first_computed_at":"2026-05-18T02:49:38.706298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:38.706298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ObRM8zSrPhdBCzj//xLC3hKf3ZX8t0xytZ0YTv3xJ5pwWyvrHchtgQyK4mQPAySWKdiclc3uANMX3yr8XR8zAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:38.706657Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4501","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da5e799eecb5f2d00ff91be84cbf1e08609d330f9031c6b40ca0fd2660bd49c3","sha256:6c518f46c4c380a3a7f8658feb3e3cb7fc291531333c83fbe30c1d5da5348c7d"],"state_sha256":"c42835f0881e7a69841f9841ee0d778efc133e455ae23aec14a415cf1f5f48f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"61sLP2N4ve98jFeR8hW3l9rlqd9QPemR0shUUsrU+KKOJBcF9GBt7Ckfoqk7yGJyH2WP8iO+g8E/4PSg7misCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:12:28.806500Z","bundle_sha256":"4132145dafa47e0febed491ce1b8b90db4b2da157f6d28510fd68d02c9bbfe53"}}