{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:WNKX3CZC3QW6I6ZJQPWPFN3MVO","short_pith_number":"pith:WNKX3CZC","schema_version":"1.0","canonical_sha256":"b3557d8b22dc2de47b2983ecf2b76caba22e590e8956a52f49b9b2b57e52782b","source":{"kind":"arxiv","id":"1711.01396","version":1},"attestation_state":"computed","paper":{"title":"Separation-Free Super-Resolution from Compressed Measurements is Possible: an Orthonormal Atomic Norm Minimization Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.IT","math.OC"],"primary_cat":"cs.IT","authors_text":"Jian-Feng Cai, Jirong Yi, Mathews Jacob, Myung Cho, Soura Dasgupta, Weiyu Xu","submitted_at":"2017-11-04T05:50:42Z","abstract_excerpt":"We consider the problem of recovering the superposition of $R$ distinct complex exponential functions from compressed non-uniform time-domain samples. Total Variation (TV) minimization or atomic norm minimization was proposed in the literature to recover the $R$ frequencies or the missing data. However, it is known that in order for TV minimization and atomic norm minimization to recover the missing data or the frequencies, the underlying $R$ frequencies are required to be well-separated, even when the measurements are noiseless. This paper shows that the Hankel matrix recovery approach can su"},"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":"1711.01396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-11-04T05:50:42Z","cross_cats_sorted":["cs.LG","math.IT","math.OC"],"title_canon_sha256":"64d84ec478e7d8df37f46c8763688693cd4a924dc238d3ce53c9a9e237af199c","abstract_canon_sha256":"fb864db9839029deb8c4daee851fe3ab98a97e0f260e2ab470cd1b4ca6ba54a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:17.986691Z","signature_b64":"0/qjkki6nkgHu6lPZ+hm03TGP0qEJs2YxFFYtnkZsbNm4BXDFU29xXK1D4q0dS67eLMIXTxK9LzWsuq/Psw6Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3557d8b22dc2de47b2983ecf2b76caba22e590e8956a52f49b9b2b57e52782b","last_reissued_at":"2026-05-18T00:31:17.986001Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:17.986001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Separation-Free Super-Resolution from Compressed Measurements is Possible: an Orthonormal Atomic Norm Minimization Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.IT","math.OC"],"primary_cat":"cs.IT","authors_text":"Jian-Feng Cai, Jirong Yi, Mathews Jacob, Myung Cho, Soura Dasgupta, Weiyu Xu","submitted_at":"2017-11-04T05:50:42Z","abstract_excerpt":"We consider the problem of recovering the superposition of $R$ distinct complex exponential functions from compressed non-uniform time-domain samples. Total Variation (TV) minimization or atomic norm minimization was proposed in the literature to recover the $R$ frequencies or the missing data. However, it is known that in order for TV minimization and atomic norm minimization to recover the missing data or the frequencies, the underlying $R$ frequencies are required to be well-separated, even when the measurements are noiseless. This paper shows that the Hankel matrix recovery approach can su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01396","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":"1711.01396","created_at":"2026-05-18T00:31:17.986112+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.01396v1","created_at":"2026-05-18T00:31:17.986112+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01396","created_at":"2026-05-18T00:31:17.986112+00:00"},{"alias_kind":"pith_short_12","alias_value":"WNKX3CZC3QW6","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"WNKX3CZC3QW6I6ZJ","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"WNKX3CZC","created_at":"2026-05-18T12:31:53.515858+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/WNKX3CZC3QW6I6ZJQPWPFN3MVO","json":"https://pith.science/pith/WNKX3CZC3QW6I6ZJQPWPFN3MVO.json","graph_json":"https://pith.science/api/pith-number/WNKX3CZC3QW6I6ZJQPWPFN3MVO/graph.json","events_json":"https://pith.science/api/pith-number/WNKX3CZC3QW6I6ZJQPWPFN3MVO/events.json","paper":"https://pith.science/paper/WNKX3CZC"},"agent_actions":{"view_html":"https://pith.science/pith/WNKX3CZC3QW6I6ZJQPWPFN3MVO","download_json":"https://pith.science/pith/WNKX3CZC3QW6I6ZJQPWPFN3MVO.json","view_paper":"https://pith.science/paper/WNKX3CZC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.01396&json=true","fetch_graph":"https://pith.science/api/pith-number/WNKX3CZC3QW6I6ZJQPWPFN3MVO/graph.json","fetch_events":"https://pith.science/api/pith-number/WNKX3CZC3QW6I6ZJQPWPFN3MVO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WNKX3CZC3QW6I6ZJQPWPFN3MVO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WNKX3CZC3QW6I6ZJQPWPFN3MVO/action/storage_attestation","attest_author":"https://pith.science/pith/WNKX3CZC3QW6I6ZJQPWPFN3MVO/action/author_attestation","sign_citation":"https://pith.science/pith/WNKX3CZC3QW6I6ZJQPWPFN3MVO/action/citation_signature","submit_replication":"https://pith.science/pith/WNKX3CZC3QW6I6ZJQPWPFN3MVO/action/replication_record"}},"created_at":"2026-05-18T00:31:17.986112+00:00","updated_at":"2026-05-18T00:31:17.986112+00:00"}