{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2GML32PYNJZTIBOLAVUYJI6CFP","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":"3653b01951e0ef4c14d0687e3358b37ad19c495714b9bcefefa2ee1398764906","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-19T16:27:05Z","title_canon_sha256":"e6a5d63e219d6e1e52b74af2f9dc36f84cd92e2a57a7954c8761ff8c1f7ecd0b"},"schema_version":"1.0","source":{"id":"1604.05640","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05640","created_at":"2026-05-18T00:57:04Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05640v2","created_at":"2026-05-18T00:57:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05640","created_at":"2026-05-18T00:57:04Z"},{"alias_kind":"pith_short_12","alias_value":"2GML32PYNJZT","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2GML32PYNJZTIBOL","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2GML32PY","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:e326545becb9f15698306403df2ffacfb6a72953e4a2bc4e1a0b64bc5b95527d","target":"graph","created_at":"2026-05-18T00:57:04Z","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":"Super-resolution theory aims to estimate the discrete components lying in a continuous space that constitute a sparse signal with optimal precision. This work investigates the potential of recent super-resolution techniques for spectral estimation in multi-rate sampling systems. It shows that, under the existence of a common supporting grid, and under a minimal separation constraint, the frequencies of a spectrally sparse signal can be exactly jointly recovered from the output of a semidefinite program (SDP). The algorithmic complexity of this approach is discussed, and an equivalent SDP of mi","authors_text":"M. Ferreira Da Costa, W. Dai","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-19T16:27:05Z","title":"Achieving Super-Resolution in Multi-Rate Sampling Systems via Efficient Semidefinite Programming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05640","kind":"arxiv","version":2},"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":"sha256:85cea2f6e496e487e8f57edcdbe809ab200f156e78bc06a07228003b5455aa67","target":"record","created_at":"2026-05-18T00:57:04Z","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":"3653b01951e0ef4c14d0687e3358b37ad19c495714b9bcefefa2ee1398764906","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-19T16:27:05Z","title_canon_sha256":"e6a5d63e219d6e1e52b74af2f9dc36f84cd92e2a57a7954c8761ff8c1f7ecd0b"},"schema_version":"1.0","source":{"id":"1604.05640","kind":"arxiv","version":2}},"canonical_sha256":"d198bde9f86a733405cb056984a3c22bdce4d365d84b616ac9e11fd2ec926aa1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d198bde9f86a733405cb056984a3c22bdce4d365d84b616ac9e11fd2ec926aa1","first_computed_at":"2026-05-18T00:57:04.579538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:04.579538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qc9/TCex6r7gGlV+wk6Jkp/XOMGttsAR2ietTGqj0ejSMOhrjOsg8R2GzTl5a8PINrGrI0FwYTQOAofNuRfgAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:04.580130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05640","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85cea2f6e496e487e8f57edcdbe809ab200f156e78bc06a07228003b5455aa67","sha256:e326545becb9f15698306403df2ffacfb6a72953e4a2bc4e1a0b64bc5b95527d"],"state_sha256":"f689271f02eaf2d2fd4c27c49487f08888060d76fd65d3698e7d74740f8476a0"}