{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2PGLOVDG7RGK24UPB7M36K47P7","short_pith_number":"pith:2PGLOVDG","canonical_record":{"source":{"id":"1508.06660","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-08-26T20:51:52Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"71297cdf3b00d41e1580695f72090a4d337099125c41d78039ce19c6d73ae142","abstract_canon_sha256":"8b12a526ff07b454aded92700dc8089e7c0fb6bf1f01be57eae1932f07836879"},"schema_version":"1.0"},"canonical_sha256":"d3ccb75466fc4cad728f0fd9bf2b9f7fd95542e2e400453b8ac4881293e0fe85","source":{"kind":"arxiv","id":"1508.06660","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.06660","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"arxiv_version","alias_value":"1508.06660v1","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06660","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"pith_short_12","alias_value":"2PGLOVDG7RGK","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2PGLOVDG7RGK24UP","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2PGLOVDG","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2PGLOVDG7RGK24UPB7M36K47P7","target":"record","payload":{"canonical_record":{"source":{"id":"1508.06660","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-08-26T20:51:52Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"71297cdf3b00d41e1580695f72090a4d337099125c41d78039ce19c6d73ae142","abstract_canon_sha256":"8b12a526ff07b454aded92700dc8089e7c0fb6bf1f01be57eae1932f07836879"},"schema_version":"1.0"},"canonical_sha256":"d3ccb75466fc4cad728f0fd9bf2b9f7fd95542e2e400453b8ac4881293e0fe85","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:41.393874Z","signature_b64":"ei+osC4NpM7vWoVczwgFrfxg+2BCNNz5x4xL603e9XZ4yNe/6nzxdtBVdsKe2U+Y+xrzdVj17VUZkivQrv4YCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3ccb75466fc4cad728f0fd9bf2b9f7fd95542e2e400453b8ac4881293e0fe85","last_reissued_at":"2026-05-18T01:34:41.393175Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:41.393175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.06660","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":"2026-05-18T01:34:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lAIwARm0qSJ6j8AVM0wjXLNury7oehvxAAVvCW7QQVwGEbitdVY8UM3SLSXmHxl2PB1zGGliZ16H9JY/BvuxAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T23:54:39.018437Z"},"content_sha256":"64849b195680f93ae38421f0c2eed971beee0a16ea670d485618a403faa0101f","schema_version":"1.0","event_id":"sha256:64849b195680f93ae38421f0c2eed971beee0a16ea670d485618a403faa0101f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2PGLOVDG7RGK24UPB7M36K47P7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adaptive variable selection in nonparametric sparse additive models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Cristina Butucea, Natalia Stepanova","submitted_at":"2015-08-26T20:51:52Z","abstract_excerpt":"We consider the problem of recovery of an unknown multivariate signal $f$ observed in a $d$-dimensional Gaussian white noise model of intensity $\\varepsilon$. We assume that $f$ belongs to a class of smooth functions ${\\cal F}^d\\subset L_2([0,1]^d)$ and has an additive sparse structure determined by the parameter $s$, the number of non-zero univariate components contributing to $f$. We are interested in the case when $d=d_\\varepsilon \\to \\infty$ as $\\varepsilon \\to 0$ and the parameter $s$ stays \"small\" relative to $d$. With these assumptions, the recovery problem in hand becomes that of deter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06660","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":"2026-05-18T01:34:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1sMURFmsnLyrQMYN7qedsWbjrypeKzGjPXlJ3YZqCa4L20mEPibhOwBXd/MUgOLCuVCMctVih75hv94FenTYDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T23:54:39.018785Z"},"content_sha256":"cbea7261f6d81dba96c5bbd1b972019af2f7f20521f24bbf5d6c5d2b56a8089b","schema_version":"1.0","event_id":"sha256:cbea7261f6d81dba96c5bbd1b972019af2f7f20521f24bbf5d6c5d2b56a8089b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2PGLOVDG7RGK24UPB7M36K47P7/bundle.json","state_url":"https://pith.science/pith/2PGLOVDG7RGK24UPB7M36K47P7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2PGLOVDG7RGK24UPB7M36K47P7/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":"2026-06-03T23:54:39Z","links":{"resolver":"https://pith.science/pith/2PGLOVDG7RGK24UPB7M36K47P7","bundle":"https://pith.science/pith/2PGLOVDG7RGK24UPB7M36K47P7/bundle.json","state":"https://pith.science/pith/2PGLOVDG7RGK24UPB7M36K47P7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2PGLOVDG7RGK24UPB7M36K47P7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2PGLOVDG7RGK24UPB7M36K47P7","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":"8b12a526ff07b454aded92700dc8089e7c0fb6bf1f01be57eae1932f07836879","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-08-26T20:51:52Z","title_canon_sha256":"71297cdf3b00d41e1580695f72090a4d337099125c41d78039ce19c6d73ae142"},"schema_version":"1.0","source":{"id":"1508.06660","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.06660","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"arxiv_version","alias_value":"1508.06660v1","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06660","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"pith_short_12","alias_value":"2PGLOVDG7RGK","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2PGLOVDG7RGK24UP","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2PGLOVDG","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:cbea7261f6d81dba96c5bbd1b972019af2f7f20521f24bbf5d6c5d2b56a8089b","target":"graph","created_at":"2026-05-18T01:34:41Z","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":"We consider the problem of recovery of an unknown multivariate signal $f$ observed in a $d$-dimensional Gaussian white noise model of intensity $\\varepsilon$. We assume that $f$ belongs to a class of smooth functions ${\\cal F}^d\\subset L_2([0,1]^d)$ and has an additive sparse structure determined by the parameter $s$, the number of non-zero univariate components contributing to $f$. We are interested in the case when $d=d_\\varepsilon \\to \\infty$ as $\\varepsilon \\to 0$ and the parameter $s$ stays \"small\" relative to $d$. With these assumptions, the recovery problem in hand becomes that of deter","authors_text":"Cristina Butucea, Natalia Stepanova","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-08-26T20:51:52Z","title":"Adaptive variable selection in nonparametric sparse additive models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06660","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":"sha256:64849b195680f93ae38421f0c2eed971beee0a16ea670d485618a403faa0101f","target":"record","created_at":"2026-05-18T01:34:41Z","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":"8b12a526ff07b454aded92700dc8089e7c0fb6bf1f01be57eae1932f07836879","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-08-26T20:51:52Z","title_canon_sha256":"71297cdf3b00d41e1580695f72090a4d337099125c41d78039ce19c6d73ae142"},"schema_version":"1.0","source":{"id":"1508.06660","kind":"arxiv","version":1}},"canonical_sha256":"d3ccb75466fc4cad728f0fd9bf2b9f7fd95542e2e400453b8ac4881293e0fe85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3ccb75466fc4cad728f0fd9bf2b9f7fd95542e2e400453b8ac4881293e0fe85","first_computed_at":"2026-05-18T01:34:41.393175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:41.393175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ei+osC4NpM7vWoVczwgFrfxg+2BCNNz5x4xL603e9XZ4yNe/6nzxdtBVdsKe2U+Y+xrzdVj17VUZkivQrv4YCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:41.393874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.06660","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64849b195680f93ae38421f0c2eed971beee0a16ea670d485618a403faa0101f","sha256:cbea7261f6d81dba96c5bbd1b972019af2f7f20521f24bbf5d6c5d2b56a8089b"],"state_sha256":"12aa63124ac265f3223501430610238274cae33133a46232165dd0ac26168bc0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uXc3RaqjDX1CeceAX0UvhhouzmqWOjKABsAxvH83Xkm3SYJo7lGPqvV67q8YJL7hr7k/MQfWej4gS6oqIUQwCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T23:54:39.020768Z","bundle_sha256":"945f400b7bcec07912098012ad6ca450f14b9ff8162a74c7d901dcb98163821d"}}