{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:HAMKTJ7L3WEDKUGI7RLRBWM2WT","short_pith_number":"pith:HAMKTJ7L","canonical_record":{"source":{"id":"1306.4911","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-20T15:30:58Z","cross_cats_sorted":[],"title_canon_sha256":"5240b62c64b1ab2cc818d6ee5d666f684381bfb0ac43b69ed88d66ac7b2070b8","abstract_canon_sha256":"87d40cfb44ae8c8a74c6e2deeb4b7b5efd2b535a611296ea5e049dcf889823c8"},"schema_version":"1.0"},"canonical_sha256":"3818a9a7ebdd883550c8fc5710d99ab4cd48d1d1aa606218fe1a677e8b11d5e0","source":{"kind":"arxiv","id":"1306.4911","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4911","created_at":"2026-05-18T03:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4911v1","created_at":"2026-05-18T03:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4911","created_at":"2026-05-18T03:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"HAMKTJ7L3WED","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HAMKTJ7L3WEDKUGI","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HAMKTJ7L","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:HAMKTJ7L3WEDKUGI7RLRBWM2WT","target":"record","payload":{"canonical_record":{"source":{"id":"1306.4911","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-20T15:30:58Z","cross_cats_sorted":[],"title_canon_sha256":"5240b62c64b1ab2cc818d6ee5d666f684381bfb0ac43b69ed88d66ac7b2070b8","abstract_canon_sha256":"87d40cfb44ae8c8a74c6e2deeb4b7b5efd2b535a611296ea5e049dcf889823c8"},"schema_version":"1.0"},"canonical_sha256":"3818a9a7ebdd883550c8fc5710d99ab4cd48d1d1aa606218fe1a677e8b11d5e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:21.175949Z","signature_b64":"2sVyAp8Y8LBf6l6T0LmngHEON/aXs+DBcoBVsQXA81AW05MIgsjs6QdhF8onP+Q21QgGV+IvktMcW6ISXGkLAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3818a9a7ebdd883550c8fc5710d99ab4cd48d1d1aa606218fe1a677e8b11d5e0","last_reissued_at":"2026-05-18T03:20:21.175175Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:21.175175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.4911","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":"2026-05-18T03:20:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BZS6nQM2TV1ELFlst5vVmiBmsFSVBrZ85dLD05jmKQZrqd7rtMuvBTVRgK9TzPzW00qcJZJ6MjqOuY2RE1mwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:39:38.996102Z"},"content_sha256":"b1deb220b3cafb98cf05b53c0614227bec024617ec713a8856dd5a71decd4035","schema_version":"1.0","event_id":"sha256:b1deb220b3cafb98cf05b53c0614227bec024617ec713a8856dd5a71decd4035"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:HAMKTJ7L3WEDKUGI7RLRBWM2WT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Independent Component Analysis via Distance Covariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"David S. Matteson, Ruey S. Tsay","submitted_at":"2013-06-20T15:30:58Z","abstract_excerpt":"This paper introduces a novel statistical framework for independent component analysis (ICA) of multivariate data. We propose methodology for estimating and testing the existence of mutually independent components for a given dataset, and a versatile resampling-based procedure for inference. Independent components are estimated by combining a nonparametric probability integral transformation with a generalized nonparametric whitening method that simultaneously minimizes all forms of dependence among the components. U-statistics of certain Euclidean distances between sample elements are combine"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4911","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":"2026-05-18T03:20:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"poEsadBstk+XNO11S0vtcFRYNmgLVL6eKHXB2DckBbF7P7XwQvsX5IIzcVh6gm0bEpDXsP7SaljJdRuL3+eoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:39:38.996887Z"},"content_sha256":"4d6e3a2b234f0cf7bef78896184aca7beace528b6f7b8abb16828dc1d3829021","schema_version":"1.0","event_id":"sha256:4d6e3a2b234f0cf7bef78896184aca7beace528b6f7b8abb16828dc1d3829021"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HAMKTJ7L3WEDKUGI7RLRBWM2WT/bundle.json","state_url":"https://pith.science/pith/HAMKTJ7L3WEDKUGI7RLRBWM2WT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HAMKTJ7L3WEDKUGI7RLRBWM2WT/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":"2026-05-31T04:39:38Z","links":{"resolver":"https://pith.science/pith/HAMKTJ7L3WEDKUGI7RLRBWM2WT","bundle":"https://pith.science/pith/HAMKTJ7L3WEDKUGI7RLRBWM2WT/bundle.json","state":"https://pith.science/pith/HAMKTJ7L3WEDKUGI7RLRBWM2WT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HAMKTJ7L3WEDKUGI7RLRBWM2WT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HAMKTJ7L3WEDKUGI7RLRBWM2WT","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":"87d40cfb44ae8c8a74c6e2deeb4b7b5efd2b535a611296ea5e049dcf889823c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-20T15:30:58Z","title_canon_sha256":"5240b62c64b1ab2cc818d6ee5d666f684381bfb0ac43b69ed88d66ac7b2070b8"},"schema_version":"1.0","source":{"id":"1306.4911","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4911","created_at":"2026-05-18T03:20:21Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4911v1","created_at":"2026-05-18T03:20:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4911","created_at":"2026-05-18T03:20:21Z"},{"alias_kind":"pith_short_12","alias_value":"HAMKTJ7L3WED","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HAMKTJ7L3WEDKUGI","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HAMKTJ7L","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:4d6e3a2b234f0cf7bef78896184aca7beace528b6f7b8abb16828dc1d3829021","target":"graph","created_at":"2026-05-18T03:20:21Z","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":"This paper introduces a novel statistical framework for independent component analysis (ICA) of multivariate data. We propose methodology for estimating and testing the existence of mutually independent components for a given dataset, and a versatile resampling-based procedure for inference. Independent components are estimated by combining a nonparametric probability integral transformation with a generalized nonparametric whitening method that simultaneously minimizes all forms of dependence among the components. U-statistics of certain Euclidean distances between sample elements are combine","authors_text":"David S. Matteson, Ruey S. Tsay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-20T15:30:58Z","title":"Independent Component Analysis via Distance Covariance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4911","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:b1deb220b3cafb98cf05b53c0614227bec024617ec713a8856dd5a71decd4035","target":"record","created_at":"2026-05-18T03:20:21Z","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":"87d40cfb44ae8c8a74c6e2deeb4b7b5efd2b535a611296ea5e049dcf889823c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-20T15:30:58Z","title_canon_sha256":"5240b62c64b1ab2cc818d6ee5d666f684381bfb0ac43b69ed88d66ac7b2070b8"},"schema_version":"1.0","source":{"id":"1306.4911","kind":"arxiv","version":1}},"canonical_sha256":"3818a9a7ebdd883550c8fc5710d99ab4cd48d1d1aa606218fe1a677e8b11d5e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3818a9a7ebdd883550c8fc5710d99ab4cd48d1d1aa606218fe1a677e8b11d5e0","first_computed_at":"2026-05-18T03:20:21.175175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:21.175175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2sVyAp8Y8LBf6l6T0LmngHEON/aXs+DBcoBVsQXA81AW05MIgsjs6QdhF8onP+Q21QgGV+IvktMcW6ISXGkLAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:21.175949Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.4911","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1deb220b3cafb98cf05b53c0614227bec024617ec713a8856dd5a71decd4035","sha256:4d6e3a2b234f0cf7bef78896184aca7beace528b6f7b8abb16828dc1d3829021"],"state_sha256":"8254460a3f37c20684aced972367bb7ae12e58d2837e23520d157b1aa64ba872"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K7dz5ksIClw15MtagNy5Rmld6dvxIVGe4hSKDKwZIE2TtxnZH3z38+XVdMuS3o7+JOPlwCOa49MCf+LhkfeHAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T04:39:39.001069Z","bundle_sha256":"a9f65caa0c7510b4485822cd52766c52eded9d2bb6b517aa0cfca78b2e3c26a8"}}