{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:5RWD7PQ2IOSC424RGKAPNVUIZP","short_pith_number":"pith:5RWD7PQ2","schema_version":"1.0","canonical_sha256":"ec6c3fbe1a43a42e6b913280f6d688cbcab45f4d2f7d968f039f1ff9ffc51c62","source":{"kind":"arxiv","id":"1010.0822","version":2},"attestation_state":"computed","paper":{"title":"Discussion of: Brownian distance covariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Michael R. Kosorok","submitted_at":"2010-10-05T10:01:29Z","abstract_excerpt":"We discuss briefly the very interesting concept of Brownian distance covariance developed by Sz\\'{e}kely and Rizzo [Ann. Appl. Statist. (2009), to appear] and describe two possible extensions. The first extension is for high dimensional data that can be coerced into a Hilbert space, including certain high throughput screening and functional data settings. The second extension involves very simple modifications that may yield increased power in some settings. We commend Sz\\'{e}kely and Rizzo for their very interesting work and recognize that this general idea has potential to have a large impac"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1010.0822","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2010-10-05T10:01:29Z","cross_cats_sorted":[],"title_canon_sha256":"6b20be7a72540e77e8a29de962214cd542970f42b049bffc3dbc564dccd1b1a3","abstract_canon_sha256":"715e1cf42f8cc7d175d31a6c9d4c6726c7097166f045867d005b7a5f06101dbb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:19.201067Z","signature_b64":"UpXhdbTlQIHUQrmx1xM7bs0tRw1pZnE7iEh8nkGa0xM+Hn5w4XCIK260B7yx3veHINli0P9Lon1OVYNCVy5xBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec6c3fbe1a43a42e6b913280f6d688cbcab45f4d2f7d968f039f1ff9ffc51c62","last_reissued_at":"2026-05-18T03:05:19.200618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:19.200618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discussion of: Brownian distance covariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Michael R. Kosorok","submitted_at":"2010-10-05T10:01:29Z","abstract_excerpt":"We discuss briefly the very interesting concept of Brownian distance covariance developed by Sz\\'{e}kely and Rizzo [Ann. Appl. Statist. (2009), to appear] and describe two possible extensions. The first extension is for high dimensional data that can be coerced into a Hilbert space, including certain high throughput screening and functional data settings. The second extension involves very simple modifications that may yield increased power in some settings. We commend Sz\\'{e}kely and Rizzo for their very interesting work and recognize that this general idea has potential to have a large impac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0822","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1010.0822","created_at":"2026-05-18T03:05:19.200689+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.0822v2","created_at":"2026-05-18T03:05:19.200689+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0822","created_at":"2026-05-18T03:05:19.200689+00:00"},{"alias_kind":"pith_short_12","alias_value":"5RWD7PQ2IOSC","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"5RWD7PQ2IOSC424R","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"5RWD7PQ2","created_at":"2026-05-18T12:26:04.259169+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5RWD7PQ2IOSC424RGKAPNVUIZP","json":"https://pith.science/pith/5RWD7PQ2IOSC424RGKAPNVUIZP.json","graph_json":"https://pith.science/api/pith-number/5RWD7PQ2IOSC424RGKAPNVUIZP/graph.json","events_json":"https://pith.science/api/pith-number/5RWD7PQ2IOSC424RGKAPNVUIZP/events.json","paper":"https://pith.science/paper/5RWD7PQ2"},"agent_actions":{"view_html":"https://pith.science/pith/5RWD7PQ2IOSC424RGKAPNVUIZP","download_json":"https://pith.science/pith/5RWD7PQ2IOSC424RGKAPNVUIZP.json","view_paper":"https://pith.science/paper/5RWD7PQ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.0822&json=true","fetch_graph":"https://pith.science/api/pith-number/5RWD7PQ2IOSC424RGKAPNVUIZP/graph.json","fetch_events":"https://pith.science/api/pith-number/5RWD7PQ2IOSC424RGKAPNVUIZP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5RWD7PQ2IOSC424RGKAPNVUIZP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5RWD7PQ2IOSC424RGKAPNVUIZP/action/storage_attestation","attest_author":"https://pith.science/pith/5RWD7PQ2IOSC424RGKAPNVUIZP/action/author_attestation","sign_citation":"https://pith.science/pith/5RWD7PQ2IOSC424RGKAPNVUIZP/action/citation_signature","submit_replication":"https://pith.science/pith/5RWD7PQ2IOSC424RGKAPNVUIZP/action/replication_record"}},"created_at":"2026-05-18T03:05:19.200689+00:00","updated_at":"2026-05-18T03:05:19.200689+00:00"}