{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:I3RY7ELVVD6GQG6HJEHBI3QIWJ","short_pith_number":"pith:I3RY7ELV","canonical_record":{"source":{"id":"1804.03015","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-06T15:29:00Z","cross_cats_sorted":[],"title_canon_sha256":"88ff8f53cbcb6b90528525c2d653904941863de07a24e34d2e60113496a61322","abstract_canon_sha256":"d46fd52e808993058588e451a8ad3da962bbee632615547f087b57abde0bbed7"},"schema_version":"1.0"},"canonical_sha256":"46e38f9175a8fc681bc7490e146e08b269eeeddf1948fd1cbbf0a29481c17fce","source":{"kind":"arxiv","id":"1804.03015","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.03015","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"arxiv_version","alias_value":"1804.03015v1","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03015","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"pith_short_12","alias_value":"I3RY7ELVVD6G","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"I3RY7ELVVD6GQG6H","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"I3RY7ELV","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:I3RY7ELVVD6GQG6HJEHBI3QIWJ","target":"record","payload":{"canonical_record":{"source":{"id":"1804.03015","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-06T15:29:00Z","cross_cats_sorted":[],"title_canon_sha256":"88ff8f53cbcb6b90528525c2d653904941863de07a24e34d2e60113496a61322","abstract_canon_sha256":"d46fd52e808993058588e451a8ad3da962bbee632615547f087b57abde0bbed7"},"schema_version":"1.0"},"canonical_sha256":"46e38f9175a8fc681bc7490e146e08b269eeeddf1948fd1cbbf0a29481c17fce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:57.673368Z","signature_b64":"GVzHXh5NgiLCic5BCY306Cv7NjJDodFAYrgO1VW4csr6dxOp4AfcZFMWbPJmHgvtCbtnaEMLiMMgd/2TuKZgCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46e38f9175a8fc681bc7490e146e08b269eeeddf1948fd1cbbf0a29481c17fce","last_reissued_at":"2026-05-18T00:18:57.672714Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:57.672714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.03015","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":"2026-05-18T00:18:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z7fx0BQLY7uWtjcPl6di5nZF431bj6Eq3I3O9pgmm79LevKeKD3/UkC9p5R/Ftw3E18diaukqNK7qQOUEkk2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T05:44:17.972843Z"},"content_sha256":"41b596bebc8a700424d54a78843c42f2dc0477a575178a1a57d2cda6fe39bc95","schema_version":"1.0","event_id":"sha256:41b596bebc8a700424d54a78843c42f2dc0477a575178a1a57d2cda6fe39bc95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:I3RY7ELVVD6GQG6HJEHBI3QIWJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Least Squares Wavelet-based Estimation for Additive Regression Models using Non Equally-Spaced Designs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Brani Vidakovic, German A. Schnaidt Grez","submitted_at":"2018-04-06T15:29:00Z","abstract_excerpt":"Additive regression models are actively researched in the statistical field because of their usefulness in the analysis of responses determined by non-linear relationships with multivariate predictors. In this kind of statistical models, the response depends linearly on unknown functions of predictor variables and typically, the goal of the analysis is to make inference about these functions.\n  In this paper, we study the problem of additive regression using a least squares approach based on periodic orthogonal wavelets on the interval [0,1]. For this estimator, we obtain strong consistency (w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03015","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":"2026-05-18T00:18:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AmDO/Gu35ZLGQsT1NuwYDDuKh65YGvzCFN15rbxRQ0a4cxMgSMYJTPA77z6zWR4adykx26t+1J8cf2HqTNCXAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T05:44:17.973186Z"},"content_sha256":"c3a4a805f2642ccd26860a920657c150efca7274d8992d5841bed1a7ce4afc98","schema_version":"1.0","event_id":"sha256:c3a4a805f2642ccd26860a920657c150efca7274d8992d5841bed1a7ce4afc98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I3RY7ELVVD6GQG6HJEHBI3QIWJ/bundle.json","state_url":"https://pith.science/pith/I3RY7ELVVD6GQG6HJEHBI3QIWJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I3RY7ELVVD6GQG6HJEHBI3QIWJ/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":"2026-07-03T05:44:17Z","links":{"resolver":"https://pith.science/pith/I3RY7ELVVD6GQG6HJEHBI3QIWJ","bundle":"https://pith.science/pith/I3RY7ELVVD6GQG6HJEHBI3QIWJ/bundle.json","state":"https://pith.science/pith/I3RY7ELVVD6GQG6HJEHBI3QIWJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I3RY7ELVVD6GQG6HJEHBI3QIWJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:I3RY7ELVVD6GQG6HJEHBI3QIWJ","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":"d46fd52e808993058588e451a8ad3da962bbee632615547f087b57abde0bbed7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-06T15:29:00Z","title_canon_sha256":"88ff8f53cbcb6b90528525c2d653904941863de07a24e34d2e60113496a61322"},"schema_version":"1.0","source":{"id":"1804.03015","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.03015","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"arxiv_version","alias_value":"1804.03015v1","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03015","created_at":"2026-05-18T00:18:57Z"},{"alias_kind":"pith_short_12","alias_value":"I3RY7ELVVD6G","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"I3RY7ELVVD6GQG6H","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"I3RY7ELV","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:c3a4a805f2642ccd26860a920657c150efca7274d8992d5841bed1a7ce4afc98","target":"graph","created_at":"2026-05-18T00:18:57Z","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":"Additive regression models are actively researched in the statistical field because of their usefulness in the analysis of responses determined by non-linear relationships with multivariate predictors. In this kind of statistical models, the response depends linearly on unknown functions of predictor variables and typically, the goal of the analysis is to make inference about these functions.\n  In this paper, we study the problem of additive regression using a least squares approach based on periodic orthogonal wavelets on the interval [0,1]. For this estimator, we obtain strong consistency (w","authors_text":"Brani Vidakovic, German A. Schnaidt Grez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-06T15:29:00Z","title":"Least Squares Wavelet-based Estimation for Additive Regression Models using Non Equally-Spaced Designs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03015","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":"sha256:41b596bebc8a700424d54a78843c42f2dc0477a575178a1a57d2cda6fe39bc95","target":"record","created_at":"2026-05-18T00:18:57Z","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":"d46fd52e808993058588e451a8ad3da962bbee632615547f087b57abde0bbed7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-04-06T15:29:00Z","title_canon_sha256":"88ff8f53cbcb6b90528525c2d653904941863de07a24e34d2e60113496a61322"},"schema_version":"1.0","source":{"id":"1804.03015","kind":"arxiv","version":1}},"canonical_sha256":"46e38f9175a8fc681bc7490e146e08b269eeeddf1948fd1cbbf0a29481c17fce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46e38f9175a8fc681bc7490e146e08b269eeeddf1948fd1cbbf0a29481c17fce","first_computed_at":"2026-05-18T00:18:57.672714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:57.672714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GVzHXh5NgiLCic5BCY306Cv7NjJDodFAYrgO1VW4csr6dxOp4AfcZFMWbPJmHgvtCbtnaEMLiMMgd/2TuKZgCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:57.673368Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.03015","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41b596bebc8a700424d54a78843c42f2dc0477a575178a1a57d2cda6fe39bc95","sha256:c3a4a805f2642ccd26860a920657c150efca7274d8992d5841bed1a7ce4afc98"],"state_sha256":"9f243f1cb096c995c9dde202675342aa88dac48fadf3b2c443abd561529158ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lMGHwSCQckO7e68O0N4Q/FRQTUqefi+XTNRa/zP6xEiFKCQapPimXXbm24unDK6Zk12b1vNIiXhAQ2+lfeh9Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T05:44:17.975117Z","bundle_sha256":"cd206b344207bce6e311b52e1554b6e39170aaacbf74e93705d77bfaeb0a512c"}}