{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:V5MFXQYB7BDIGDNQLTJR2L3BX3","short_pith_number":"pith:V5MFXQYB","schema_version":"1.0","canonical_sha256":"af585bc301f846830db05cd31d2f61becb764babb5002735d2b5da639f78cbec","source":{"kind":"arxiv","id":"1204.2996","version":2},"attestation_state":"computed","paper":{"title":"Nonparametrically consistent depth-based classifiers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Davy Paindaveine, Germain Van Bever","submitted_at":"2012-04-13T14:04:23Z","abstract_excerpt":"We introduce a class of depth-based classification procedures that are of a nearest-neighbor nature. Depth, after symmetrization, indeed provides the center-outward ordering that is necessary and sufficient to define nearest neighbors. Like all their depth-based competitors, the resulting classifiers are affine-invariant, hence in particular are insensitive to unit changes. Unlike the former, however, the latter achieve Bayes consistency under virtually any absolutely continuous distributions - a concept we call nonparametric consistency, to stress the difference with the stronger universal co"},"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":"1204.2996","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-04-13T14:04:23Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"b19816bbfcfdca6f2236db08cfa4107816ca0f58c88ae0da0642de32f9370f17","abstract_canon_sha256":"6c85eba50718a40526f3fba53c62f7f3bc558e20fce37bb457e943f680283cd1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:19:42.822519Z","signature_b64":"qP8tLZSFEAUv2XOEmCRYKPWI1KTlQ5AoYoBhANHs8oA3/n4oM313v1gu3pDLta2//KYXEQ3GhLZGl6dnh7YsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af585bc301f846830db05cd31d2f61becb764babb5002735d2b5da639f78cbec","last_reissued_at":"2026-05-18T02:19:42.822078Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:19:42.822078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonparametrically consistent depth-based classifiers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Davy Paindaveine, Germain Van Bever","submitted_at":"2012-04-13T14:04:23Z","abstract_excerpt":"We introduce a class of depth-based classification procedures that are of a nearest-neighbor nature. Depth, after symmetrization, indeed provides the center-outward ordering that is necessary and sufficient to define nearest neighbors. Like all their depth-based competitors, the resulting classifiers are affine-invariant, hence in particular are insensitive to unit changes. Unlike the former, however, the latter achieve Bayes consistency under virtually any absolutely continuous distributions - a concept we call nonparametric consistency, to stress the difference with the stronger universal co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2996","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":"1204.2996","created_at":"2026-05-18T02:19:42.822134+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.2996v2","created_at":"2026-05-18T02:19:42.822134+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2996","created_at":"2026-05-18T02:19:42.822134+00:00"},{"alias_kind":"pith_short_12","alias_value":"V5MFXQYB7BDI","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"V5MFXQYB7BDIGDNQ","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"V5MFXQYB","created_at":"2026-05-18T12:27:25.539911+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/V5MFXQYB7BDIGDNQLTJR2L3BX3","json":"https://pith.science/pith/V5MFXQYB7BDIGDNQLTJR2L3BX3.json","graph_json":"https://pith.science/api/pith-number/V5MFXQYB7BDIGDNQLTJR2L3BX3/graph.json","events_json":"https://pith.science/api/pith-number/V5MFXQYB7BDIGDNQLTJR2L3BX3/events.json","paper":"https://pith.science/paper/V5MFXQYB"},"agent_actions":{"view_html":"https://pith.science/pith/V5MFXQYB7BDIGDNQLTJR2L3BX3","download_json":"https://pith.science/pith/V5MFXQYB7BDIGDNQLTJR2L3BX3.json","view_paper":"https://pith.science/paper/V5MFXQYB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.2996&json=true","fetch_graph":"https://pith.science/api/pith-number/V5MFXQYB7BDIGDNQLTJR2L3BX3/graph.json","fetch_events":"https://pith.science/api/pith-number/V5MFXQYB7BDIGDNQLTJR2L3BX3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V5MFXQYB7BDIGDNQLTJR2L3BX3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V5MFXQYB7BDIGDNQLTJR2L3BX3/action/storage_attestation","attest_author":"https://pith.science/pith/V5MFXQYB7BDIGDNQLTJR2L3BX3/action/author_attestation","sign_citation":"https://pith.science/pith/V5MFXQYB7BDIGDNQLTJR2L3BX3/action/citation_signature","submit_replication":"https://pith.science/pith/V5MFXQYB7BDIGDNQLTJR2L3BX3/action/replication_record"}},"created_at":"2026-05-18T02:19:42.822134+00:00","updated_at":"2026-05-18T02:19:42.822134+00:00"}