{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NLI55FSO3I2ZRAXXPGTAU2J7CR","short_pith_number":"pith:NLI55FSO","canonical_record":{"source":{"id":"1703.03167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-03-09T07:40:53Z","cross_cats_sorted":["stat.ML","stat.TH"],"title_canon_sha256":"14fdc6d25c5cbc5bdc71c39cdf7c365b676a2fc1250efe0d849be6b471e8dc68","abstract_canon_sha256":"64e757914f61f0c0ce1f3cd8d14424008f7c7c69d605e7bb1070a20c621fc270"},"schema_version":"1.0"},"canonical_sha256":"6ad1de964eda359882f779a60a693f144f57e6d78f89afc88b840b8dd8d2af87","source":{"kind":"arxiv","id":"1703.03167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03167","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03167v1","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03167","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"NLI55FSO3I2Z","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NLI55FSO3I2ZRAXX","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NLI55FSO","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NLI55FSO3I2ZRAXXPGTAU2J7CR","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-03-09T07:40:53Z","cross_cats_sorted":["stat.ML","stat.TH"],"title_canon_sha256":"14fdc6d25c5cbc5bdc71c39cdf7c365b676a2fc1250efe0d849be6b471e8dc68","abstract_canon_sha256":"64e757914f61f0c0ce1f3cd8d14424008f7c7c69d605e7bb1070a20c621fc270"},"schema_version":"1.0"},"canonical_sha256":"6ad1de964eda359882f779a60a693f144f57e6d78f89afc88b840b8dd8d2af87","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:01.242864Z","signature_b64":"VbGQhJg6qFMo9jq3tRud1iz0PdCkv/SxrvYplWtfXtlbFPm0Jest3S/ExeNtAi25JoBtbIg4igNTWDvGasb2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ad1de964eda359882f779a60a693f144f57e6d78f89afc88b840b8dd8d2af87","last_reissued_at":"2026-05-18T00:49:01.242033Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:01.242033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03167","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":"2026-05-18T00:49:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nXaSCdRucKDiqXJpQuBO2g5Eokp5QFPmr1/2aVqJ+D0OdOdwJvvC6AQidn0Z6xb/EEJ+U1gZezTjgrmF3tkZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T09:22:31.485731Z"},"content_sha256":"8e77070f8371ce61ffd19d2f014476277862d3df855994170b79ac7b4830f169","schema_version":"1.0","event_id":"sha256:8e77070f8371ce61ffd19d2f014476277862d3df855994170b79ac7b4830f169"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NLI55FSO3I2ZRAXXPGTAU2J7CR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cross-validation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML","stat.TH"],"primary_cat":"math.ST","authors_text":"LMO), Sylvain Arlot (SELECT","submitted_at":"2017-03-09T07:40:53Z","abstract_excerpt":"This text is a survey on cross-validation. We define all classical cross-validation procedures, and we study their properties for two different goals: estimating the risk of a given estimator, and selecting the best estimator among a given family. For the risk estimation problem, we compute the bias (which can also be corrected) and the variance of cross-validation methods. For estimator selection, we first provide a first-order analysis (based on expectations). Then, we explain how to take into account second-order terms (from variance computations, and by taking into account the usefulness o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03167","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":"2026-05-18T00:49:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ca/nJB8QZVrXinrt9OEgXqb11lbl2zrHHt77GufBCZPCUoJ9L4jjr4EDbtq2lWD5hHK2r4Su4luoPVMTsfgMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T09:22:31.486076Z"},"content_sha256":"5ea1967e342b8522bc55c2968ecbe7193ba2beb690647665dd09afd94ba2db68","schema_version":"1.0","event_id":"sha256:5ea1967e342b8522bc55c2968ecbe7193ba2beb690647665dd09afd94ba2db68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NLI55FSO3I2ZRAXXPGTAU2J7CR/bundle.json","state_url":"https://pith.science/pith/NLI55FSO3I2ZRAXXPGTAU2J7CR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NLI55FSO3I2ZRAXXPGTAU2J7CR/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":"2026-06-04T09:22:31Z","links":{"resolver":"https://pith.science/pith/NLI55FSO3I2ZRAXXPGTAU2J7CR","bundle":"https://pith.science/pith/NLI55FSO3I2ZRAXXPGTAU2J7CR/bundle.json","state":"https://pith.science/pith/NLI55FSO3I2ZRAXXPGTAU2J7CR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NLI55FSO3I2ZRAXXPGTAU2J7CR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NLI55FSO3I2ZRAXXPGTAU2J7CR","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":"64e757914f61f0c0ce1f3cd8d14424008f7c7c69d605e7bb1070a20c621fc270","cross_cats_sorted":["stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-03-09T07:40:53Z","title_canon_sha256":"14fdc6d25c5cbc5bdc71c39cdf7c365b676a2fc1250efe0d849be6b471e8dc68"},"schema_version":"1.0","source":{"id":"1703.03167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03167","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03167v1","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03167","created_at":"2026-05-18T00:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"NLI55FSO3I2Z","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NLI55FSO3I2ZRAXX","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NLI55FSO","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:5ea1967e342b8522bc55c2968ecbe7193ba2beb690647665dd09afd94ba2db68","target":"graph","created_at":"2026-05-18T00:49:01Z","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 text is a survey on cross-validation. We define all classical cross-validation procedures, and we study their properties for two different goals: estimating the risk of a given estimator, and selecting the best estimator among a given family. For the risk estimation problem, we compute the bias (which can also be corrected) and the variance of cross-validation methods. For estimator selection, we first provide a first-order analysis (based on expectations). Then, we explain how to take into account second-order terms (from variance computations, and by taking into account the usefulness o","authors_text":"LMO), Sylvain Arlot (SELECT","cross_cats":["stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-03-09T07:40:53Z","title":"Cross-validation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03167","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":"sha256:8e77070f8371ce61ffd19d2f014476277862d3df855994170b79ac7b4830f169","target":"record","created_at":"2026-05-18T00:49:01Z","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":"64e757914f61f0c0ce1f3cd8d14424008f7c7c69d605e7bb1070a20c621fc270","cross_cats_sorted":["stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-03-09T07:40:53Z","title_canon_sha256":"14fdc6d25c5cbc5bdc71c39cdf7c365b676a2fc1250efe0d849be6b471e8dc68"},"schema_version":"1.0","source":{"id":"1703.03167","kind":"arxiv","version":1}},"canonical_sha256":"6ad1de964eda359882f779a60a693f144f57e6d78f89afc88b840b8dd8d2af87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ad1de964eda359882f779a60a693f144f57e6d78f89afc88b840b8dd8d2af87","first_computed_at":"2026-05-18T00:49:01.242033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:01.242033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VbGQhJg6qFMo9jq3tRud1iz0PdCkv/SxrvYplWtfXtlbFPm0Jest3S/ExeNtAi25JoBtbIg4igNTWDvGasb2Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:01.242864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e77070f8371ce61ffd19d2f014476277862d3df855994170b79ac7b4830f169","sha256:5ea1967e342b8522bc55c2968ecbe7193ba2beb690647665dd09afd94ba2db68"],"state_sha256":"10a09f78eb562f5efbcd6905a82a34a7d9506560697f7767cca1d64d5f1880d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J5IHy0K2yN7XwdknqKnSIKgqkVGXcz2creiQs+aXUz6rKlRrDljntLVhRhpEAu/AvBqLJuIS9Q5wYeyC3OeBCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T09:22:31.488026Z","bundle_sha256":"e9c5e4f6fd5ebcd3b7e16a07fd165d8cd89fd58a84424db4f337f0cbd494c9a4"}}