{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TNII7NDCOP2WTYPJNYNYZEMOS2","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":"49d9f3b74980bbb281bea1f3b5117b93ed37907c3b5d63fc0fc999761ef16cbe","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-25T23:22:47Z","title_canon_sha256":"a173771089f2cb718fe01f40d6799d74c275069aec308be50e0eb1857ea3cdf9"},"schema_version":"1.0","source":{"id":"1109.5415","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5415","created_at":"2026-05-18T02:21:36Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5415v3","created_at":"2026-05-18T02:21:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5415","created_at":"2026-05-18T02:21:36Z"},{"alias_kind":"pith_short_12","alias_value":"TNII7NDCOP2W","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TNII7NDCOP2WTYPJ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TNII7NDC","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:1a39e3a3ee88d7318400df20533d3ba242e8856120b9eefa2222035089619b37","target":"graph","created_at":"2026-05-18T02:21:36Z","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":"We explore two fundamental questions at the intersection of sampling theory and information theory: how channel capacity is affected by sampling below the channel's Nyquist rate, and what sub-Nyquist sampling strategy should be employed to maximize capacity. In particular, we derive the capacity of sampled analog channels for three prevalent sampling strategies: sampling with filtering, sampling with filter banks, and sampling with modulation and filter banks. These sampling mechanisms subsume most nonuniform sampling techniques applied in practice. Our analyses illuminate interesting connecti","authors_text":"Andrea J. Goldsmith, Yonina C. Eldar, Yuxin Chen","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-25T23:22:47Z","title":"Shannon Meets Nyquist: Capacity of Sampled Gaussian Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5415","kind":"arxiv","version":3},"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:a28485c78d3410c38cc5d8ece5efcce0c63eb07a80e7c101d0560bcddf92b7d4","target":"record","created_at":"2026-05-18T02:21:36Z","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":"49d9f3b74980bbb281bea1f3b5117b93ed37907c3b5d63fc0fc999761ef16cbe","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-09-25T23:22:47Z","title_canon_sha256":"a173771089f2cb718fe01f40d6799d74c275069aec308be50e0eb1857ea3cdf9"},"schema_version":"1.0","source":{"id":"1109.5415","kind":"arxiv","version":3}},"canonical_sha256":"9b508fb46273f569e1e96e1b8c918e96a199bdb4f7093be8f9170165e6cb567c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b508fb46273f569e1e96e1b8c918e96a199bdb4f7093be8f9170165e6cb567c","first_computed_at":"2026-05-18T02:21:36.295089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:36.295089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NuTOxXk2uWbh/Uwd7A0GdxZ1MPqA2DmsfzP38H/xyXCaI0r8Tnx5Ik9qp12XYZGuVQpzMocbQ12Q4NskweI0Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:36.295665Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.5415","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a28485c78d3410c38cc5d8ece5efcce0c63eb07a80e7c101d0560bcddf92b7d4","sha256:1a39e3a3ee88d7318400df20533d3ba242e8856120b9eefa2222035089619b37"],"state_sha256":"ef87882447720f14159fcae3145e44ba9851799425c5927836693d52690ee49b"}