{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:Z7HVFLIYIE2US6EJVMPGGRVXRT","short_pith_number":"pith:Z7HVFLIY","canonical_record":{"source":{"id":"1406.6227","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-06-24T13:14:55Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"b538d4cd0a8101aef487f51c9da840e509d73f569a8afe19ebac7020a13e7472","abstract_canon_sha256":"040a2fbcf1fc36413d92eb89b77050e5784f52826725a4f022bff9cf24a4e4e6"},"schema_version":"1.0"},"canonical_sha256":"cfcf52ad184135497889ab1e6346b78cea66fa76adb8e19c260bd0441ba70708","source":{"kind":"arxiv","id":"1406.6227","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6227","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6227v1","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6227","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"pith_short_12","alias_value":"Z7HVFLIYIE2U","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z7HVFLIYIE2US6EJ","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z7HVFLIY","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:Z7HVFLIYIE2US6EJVMPGGRVXRT","target":"record","payload":{"canonical_record":{"source":{"id":"1406.6227","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-06-24T13:14:55Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"b538d4cd0a8101aef487f51c9da840e509d73f569a8afe19ebac7020a13e7472","abstract_canon_sha256":"040a2fbcf1fc36413d92eb89b77050e5784f52826725a4f022bff9cf24a4e4e6"},"schema_version":"1.0"},"canonical_sha256":"cfcf52ad184135497889ab1e6346b78cea66fa76adb8e19c260bd0441ba70708","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:03.848240Z","signature_b64":"FxyrdUph0IkD7SLV+6nIaDbI5LfiGAMekArAOMjY7+DPvjhHmwDkxtuycDYafW3/NahCgfgZeEarxa3ePBTnAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfcf52ad184135497889ab1e6346b78cea66fa76adb8e19c260bd0441ba70708","last_reissued_at":"2026-05-18T02:49:03.847837Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:03.847837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.6227","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":"2026-05-18T02:49:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hld5KN2pJ3GUXCRbmUenROsi5GbuoqlCumLtHYe5UgQwJZpN6DJdTT9oq+0X4wwpLKoh/ZpfFH5YFzxU4qQ2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T20:34:43.392000Z"},"content_sha256":"c73058bc23ed8a94196a6d2af128ea60c140965eb21c564945a5333d76ccaff8","schema_version":"1.0","event_id":"sha256:c73058bc23ed8a94196a6d2af128ea60c140965eb21c564945a5333d76ccaff8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:Z7HVFLIYIE2US6EJVMPGGRVXRT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Testing for the significance of functional covariates in regression models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Samuel Maistre, Valentin Patilea","submitted_at":"2014-06-24T13:14:55Z","abstract_excerpt":"Regression models with a response variable taking values in a Hilbert space and hybrid covariates are considered. This means two sets of regressors are allowed, one of finite dimension and a second one functional with values in a Hilbert space. The problem we address is the test of the effect of the functional covariates. This problem occurs for instance when checking the goodness-of-fit of some regression models for functional data. The significance test for functional regressors in nonparametric regression with hybrid covariates and scalar or functional responses is another example where the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6227","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":"2026-05-18T02:49:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q5wb8m+lUjRz7+wQ/la/fDUoGak3SEUPG6Sy1NERAsoKii/317VtCwjmwoua55a4LGdwPdlDRfcZ31P06ZULAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T20:34:43.392354Z"},"content_sha256":"7ffaad1fe6466c59ffc676c01afa1775e95f78c2e347d6f0dc4e88b80a20b471","schema_version":"1.0","event_id":"sha256:7ffaad1fe6466c59ffc676c01afa1775e95f78c2e347d6f0dc4e88b80a20b471"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z7HVFLIYIE2US6EJVMPGGRVXRT/bundle.json","state_url":"https://pith.science/pith/Z7HVFLIYIE2US6EJVMPGGRVXRT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z7HVFLIYIE2US6EJVMPGGRVXRT/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":"2026-06-28T20:34:43Z","links":{"resolver":"https://pith.science/pith/Z7HVFLIYIE2US6EJVMPGGRVXRT","bundle":"https://pith.science/pith/Z7HVFLIYIE2US6EJVMPGGRVXRT/bundle.json","state":"https://pith.science/pith/Z7HVFLIYIE2US6EJVMPGGRVXRT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z7HVFLIYIE2US6EJVMPGGRVXRT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Z7HVFLIYIE2US6EJVMPGGRVXRT","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":"040a2fbcf1fc36413d92eb89b77050e5784f52826725a4f022bff9cf24a4e4e6","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-06-24T13:14:55Z","title_canon_sha256":"b538d4cd0a8101aef487f51c9da840e509d73f569a8afe19ebac7020a13e7472"},"schema_version":"1.0","source":{"id":"1406.6227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6227","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6227v1","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6227","created_at":"2026-05-18T02:49:03Z"},{"alias_kind":"pith_short_12","alias_value":"Z7HVFLIYIE2U","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z7HVFLIYIE2US6EJ","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z7HVFLIY","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:7ffaad1fe6466c59ffc676c01afa1775e95f78c2e347d6f0dc4e88b80a20b471","target":"graph","created_at":"2026-05-18T02:49:03Z","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":"Regression models with a response variable taking values in a Hilbert space and hybrid covariates are considered. This means two sets of regressors are allowed, one of finite dimension and a second one functional with values in a Hilbert space. The problem we address is the test of the effect of the functional covariates. This problem occurs for instance when checking the goodness-of-fit of some regression models for functional data. The significance test for functional regressors in nonparametric regression with hybrid covariates and scalar or functional responses is another example where the","authors_text":"Samuel Maistre, Valentin Patilea","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-06-24T13:14:55Z","title":"Testing for the significance of functional covariates in regression models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6227","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:c73058bc23ed8a94196a6d2af128ea60c140965eb21c564945a5333d76ccaff8","target":"record","created_at":"2026-05-18T02:49:03Z","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":"040a2fbcf1fc36413d92eb89b77050e5784f52826725a4f022bff9cf24a4e4e6","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-06-24T13:14:55Z","title_canon_sha256":"b538d4cd0a8101aef487f51c9da840e509d73f569a8afe19ebac7020a13e7472"},"schema_version":"1.0","source":{"id":"1406.6227","kind":"arxiv","version":1}},"canonical_sha256":"cfcf52ad184135497889ab1e6346b78cea66fa76adb8e19c260bd0441ba70708","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cfcf52ad184135497889ab1e6346b78cea66fa76adb8e19c260bd0441ba70708","first_computed_at":"2026-05-18T02:49:03.847837Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:03.847837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FxyrdUph0IkD7SLV+6nIaDbI5LfiGAMekArAOMjY7+DPvjhHmwDkxtuycDYafW3/NahCgfgZeEarxa3ePBTnAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:03.848240Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.6227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c73058bc23ed8a94196a6d2af128ea60c140965eb21c564945a5333d76ccaff8","sha256:7ffaad1fe6466c59ffc676c01afa1775e95f78c2e347d6f0dc4e88b80a20b471"],"state_sha256":"689fd153973c1f6292c4226eda4fda0f64b1e77f71fd490de6517980a30c8cf4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rJ7mAPf2t2ZW6mCLzRztfhaYdLMUhew49TO+ffin/Aerqr4FEHF/L5Q95+WDLBC8e6YnxxAFeIPnwnE8Glp/Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T20:34:43.394228Z","bundle_sha256":"f8c06564af4d153d7eb47a6dc04736b73696fa4c285bbe3f9a44cbdd04972444"}}