{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OP4WP7HOSDRL2H5YT252M2OUD5","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":"c54fde8a68170e795ccec2c034b5c67842801d70f574dcb55f6761aaf7e90d74","cross_cats_sorted":["cs.ET","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-06-22T17:30:47Z","title_canon_sha256":"2bdc22c1d1774ce7f27e92dd78951961ca25f0318788ba9d9b5f3a1937c21239"},"schema_version":"1.0","source":{"id":"1106.4514","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4514","created_at":"2026-05-18T02:21:43Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4514v1","created_at":"2026-05-18T02:21:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4514","created_at":"2026-05-18T02:21:43Z"},{"alias_kind":"pith_short_12","alias_value":"OP4WP7HOSDRL","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OP4WP7HOSDRL2H5Y","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OP4WP7HO","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:093ff5a589f7c889683fd42ed798e61dccd82c823e020043ef21f5cb0e32ee70","target":"graph","created_at":"2026-05-18T02:21:43Z","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":"Sampling theory encompasses all aspects related to the conversion of continuous-time signals to discrete streams of numbers. The famous Shannon-Nyquist theorem has become a landmark in the development of digital signal processing. In modern applications, an increasingly number of functions is being pushed forward to sophisticated software algorithms, leaving only those delicate finely-tuned tasks for the circuit level.\n  In this paper, we review sampling strategies which target reduction of the ADC rate below Nyquist. Our survey covers classic works from the early 50's of the previous century ","authors_text":"Moshe Mishali, Yonina C. Eldar","cross_cats":["cs.ET","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-06-22T17:30:47Z","title":"Sub-Nyquist Sampling: Bridging Theory and Practice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4514","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":"sha256:8951df762f56382fcd17c624e46f2d1b7680224b5183c705c5c86673b3669095","target":"record","created_at":"2026-05-18T02:21:43Z","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":"c54fde8a68170e795ccec2c034b5c67842801d70f574dcb55f6761aaf7e90d74","cross_cats_sorted":["cs.ET","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-06-22T17:30:47Z","title_canon_sha256":"2bdc22c1d1774ce7f27e92dd78951961ca25f0318788ba9d9b5f3a1937c21239"},"schema_version":"1.0","source":{"id":"1106.4514","kind":"arxiv","version":1}},"canonical_sha256":"73f967fcee90e2bd1fb89ebba669d41f62151565518c51889dcc127e94cd1f68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73f967fcee90e2bd1fb89ebba669d41f62151565518c51889dcc127e94cd1f68","first_computed_at":"2026-05-18T02:21:43.691455Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:43.691455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dXEpu3WJsxkUaWWStLlTHVOgvpAVDYICLTnbMQ5SWAPaf6D/GdVMKFkJ/ZMAp34UdKHTUL+QRYyexmQjkY37CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:43.691929Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.4514","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8951df762f56382fcd17c624e46f2d1b7680224b5183c705c5c86673b3669095","sha256:093ff5a589f7c889683fd42ed798e61dccd82c823e020043ef21f5cb0e32ee70"],"state_sha256":"e39c3786a1eebee99bebb71ccf5683dc5ea9566cf4c8b5879c3e847cb2aa4afe"}