{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:PZ3U2KENCNC3PTKKCTJPMJSPDZ","short_pith_number":"pith:PZ3U2KEN","schema_version":"1.0","canonical_sha256":"7e774d288d1345b7cd4a14d2f6264f1e4149ec5a5992e7220332bb420d42ac69","source":{"kind":"arxiv","id":"1506.01871","version":1},"attestation_state":"computed","paper":{"title":"Reconstruction of sparse wavelet signals from partial Fourier measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Cheng cheng, Qiyu Sun, Yang Chen","submitted_at":"2015-06-05T11:30:58Z","abstract_excerpt":"In this paper, we show that high-dimensional sparse wavelet signals of finite levels can be constructed from their partial Fourier measurements on a deterministic sampling set with cardinality about a multiple of signal sparsity."},"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":"1506.01871","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-06-05T11:30:58Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"16b24906a3bf50487768fd2498c85d6b5e03c36de87fbaee6915318a81d0f06d","abstract_canon_sha256":"1805d53bd0120c3acfc2859783a911693728e0129573cdda4935e19620b827da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:55.349980Z","signature_b64":"HhXpT2E3R+1glpCCVq/OhwkyHH+dMyWyEc7XfFXA8v/4YUv91ueFmXG4r5MGtsrXYPFy8qMA+AZYj6WMPCSKBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e774d288d1345b7cd4a14d2f6264f1e4149ec5a5992e7220332bb420d42ac69","last_reissued_at":"2026-05-18T01:28:55.349413Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:55.349413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reconstruction of sparse wavelet signals from partial Fourier measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Cheng cheng, Qiyu Sun, Yang Chen","submitted_at":"2015-06-05T11:30:58Z","abstract_excerpt":"In this paper, we show that high-dimensional sparse wavelet signals of finite levels can be constructed from their partial Fourier measurements on a deterministic sampling set with cardinality about a multiple of signal sparsity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01871","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1506.01871","created_at":"2026-05-18T01:28:55.349504+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.01871v1","created_at":"2026-05-18T01:28:55.349504+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01871","created_at":"2026-05-18T01:28:55.349504+00:00"},{"alias_kind":"pith_short_12","alias_value":"PZ3U2KENCNC3","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"PZ3U2KENCNC3PTKK","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"PZ3U2KEN","created_at":"2026-05-18T12:29:37.295048+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PZ3U2KENCNC3PTKKCTJPMJSPDZ","json":"https://pith.science/pith/PZ3U2KENCNC3PTKKCTJPMJSPDZ.json","graph_json":"https://pith.science/api/pith-number/PZ3U2KENCNC3PTKKCTJPMJSPDZ/graph.json","events_json":"https://pith.science/api/pith-number/PZ3U2KENCNC3PTKKCTJPMJSPDZ/events.json","paper":"https://pith.science/paper/PZ3U2KEN"},"agent_actions":{"view_html":"https://pith.science/pith/PZ3U2KENCNC3PTKKCTJPMJSPDZ","download_json":"https://pith.science/pith/PZ3U2KENCNC3PTKKCTJPMJSPDZ.json","view_paper":"https://pith.science/paper/PZ3U2KEN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.01871&json=true","fetch_graph":"https://pith.science/api/pith-number/PZ3U2KENCNC3PTKKCTJPMJSPDZ/graph.json","fetch_events":"https://pith.science/api/pith-number/PZ3U2KENCNC3PTKKCTJPMJSPDZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PZ3U2KENCNC3PTKKCTJPMJSPDZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PZ3U2KENCNC3PTKKCTJPMJSPDZ/action/storage_attestation","attest_author":"https://pith.science/pith/PZ3U2KENCNC3PTKKCTJPMJSPDZ/action/author_attestation","sign_citation":"https://pith.science/pith/PZ3U2KENCNC3PTKKCTJPMJSPDZ/action/citation_signature","submit_replication":"https://pith.science/pith/PZ3U2KENCNC3PTKKCTJPMJSPDZ/action/replication_record"}},"created_at":"2026-05-18T01:28:55.349504+00:00","updated_at":"2026-05-18T01:28:55.349504+00:00"}