{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:3D3T5SS54UCHBNAKEATMEPLR6M","short_pith_number":"pith:3D3T5SS5","schema_version":"1.0","canonical_sha256":"d8f73eca5de50470b40a2026c23d71f3197c48af1c5e4ffb5e086b40af23ca8a","source":{"kind":"arxiv","id":"2401.14670","version":1},"attestation_state":"computed","paper":{"title":"Sparse sampling recovery in integral norms on some function classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.FA"],"primary_cat":"math.NA","authors_text":"V. Temlyakov","submitted_at":"2024-01-26T06:27:59Z","abstract_excerpt":"This paper is a direct followup of the recent author's paper. In this paper we continue to analyze approximation and recovery properties with respect to systems satisfying universal sampling discretization property and a special unconditionality property. In addition we assume that the subspace spanned by our system satisfies some Nikol'skii-type inequalities. We concentrate on recovery with the error measured in the $L_p$ norm for $2\\le p<\\infty$. We apply a powerful nonlinear approximation method -- the Weak Orthogonal Matching Pursuit (WOMP) also known under the name Weak Orthogonal Greedy "},"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":"2401.14670","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-01-26T06:27:59Z","cross_cats_sorted":["cs.NA","math.FA"],"title_canon_sha256":"ffaafdb49757a4e1b898d929c535cf1425e82fce88515c9ee2348776c2d9c46d","abstract_canon_sha256":"4a9ad9c3690afa394edf6be2d038f2b94bd26d1fc27b58471d3295a88b81afa8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:37:59.900817Z","signature_b64":"BPHWMYzZqDzttbjYzDAT0NSFi6ceD3F6ZgMCR26myYiUnrSQwQY96tdHyKPD+OBoxQiU8lQHWMvdol36bEntAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8f73eca5de50470b40a2026c23d71f3197c48af1c5e4ffb5e086b40af23ca8a","last_reissued_at":"2026-07-05T07:37:59.900397Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:37:59.900397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sparse sampling recovery in integral norms on some function classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.FA"],"primary_cat":"math.NA","authors_text":"V. Temlyakov","submitted_at":"2024-01-26T06:27:59Z","abstract_excerpt":"This paper is a direct followup of the recent author's paper. In this paper we continue to analyze approximation and recovery properties with respect to systems satisfying universal sampling discretization property and a special unconditionality property. In addition we assume that the subspace spanned by our system satisfies some Nikol'skii-type inequalities. We concentrate on recovery with the error measured in the $L_p$ norm for $2\\le p<\\infty$. We apply a powerful nonlinear approximation method -- the Weak Orthogonal Matching Pursuit (WOMP) also known under the name Weak Orthogonal Greedy "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.14670","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2401.14670/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2401.14670","created_at":"2026-07-05T07:37:59.900452+00:00"},{"alias_kind":"arxiv_version","alias_value":"2401.14670v1","created_at":"2026-07-05T07:37:59.900452+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.14670","created_at":"2026-07-05T07:37:59.900452+00:00"},{"alias_kind":"pith_short_12","alias_value":"3D3T5SS54UCH","created_at":"2026-07-05T07:37:59.900452+00:00"},{"alias_kind":"pith_short_16","alias_value":"3D3T5SS54UCHBNAK","created_at":"2026-07-05T07:37:59.900452+00:00"},{"alias_kind":"pith_short_8","alias_value":"3D3T5SS5","created_at":"2026-07-05T07:37:59.900452+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.02797","citing_title":"Some lower bounds for optimal sampling recovery of functions with mixed smoothness","ref_index":21,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3D3T5SS54UCHBNAKEATMEPLR6M","json":"https://pith.science/pith/3D3T5SS54UCHBNAKEATMEPLR6M.json","graph_json":"https://pith.science/api/pith-number/3D3T5SS54UCHBNAKEATMEPLR6M/graph.json","events_json":"https://pith.science/api/pith-number/3D3T5SS54UCHBNAKEATMEPLR6M/events.json","paper":"https://pith.science/paper/3D3T5SS5"},"agent_actions":{"view_html":"https://pith.science/pith/3D3T5SS54UCHBNAKEATMEPLR6M","download_json":"https://pith.science/pith/3D3T5SS54UCHBNAKEATMEPLR6M.json","view_paper":"https://pith.science/paper/3D3T5SS5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2401.14670&json=true","fetch_graph":"https://pith.science/api/pith-number/3D3T5SS54UCHBNAKEATMEPLR6M/graph.json","fetch_events":"https://pith.science/api/pith-number/3D3T5SS54UCHBNAKEATMEPLR6M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3D3T5SS54UCHBNAKEATMEPLR6M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3D3T5SS54UCHBNAKEATMEPLR6M/action/storage_attestation","attest_author":"https://pith.science/pith/3D3T5SS54UCHBNAKEATMEPLR6M/action/author_attestation","sign_citation":"https://pith.science/pith/3D3T5SS54UCHBNAKEATMEPLR6M/action/citation_signature","submit_replication":"https://pith.science/pith/3D3T5SS54UCHBNAKEATMEPLR6M/action/replication_record"}},"created_at":"2026-07-05T07:37:59.900452+00:00","updated_at":"2026-07-05T07:37:59.900452+00:00"}