{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LXFWPDCZX2TZKUDEDJVAMRVWFK","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":"c164d7c06f365a57d1e9fd780a133a880d9906b358758d491d02c0a2e325013e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-03-22T17:47:06Z","title_canon_sha256":"0ddacd8cd6225ecf53bb8687f5b121cb1c661bfaf6bfad51b70487b90578c69b"},"schema_version":"1.0","source":{"id":"1603.06886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06886","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06886v1","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06886","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"LXFWPDCZX2TZ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LXFWPDCZX2TZKUDE","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LXFWPDCZ","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:919b7247951b9898be0695c6412343c4afeb4ec10217f4dcd980136566721741","target":"graph","created_at":"2026-05-18T01:18:34Z","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":"Multi-Coset (MC) sampling is a well established, practically feasible scheme for sampling multiband analog signals below the Nyquist rate. MC sampling has gained renewed interest in the Compressive Sensing (CS) community, due partly to the fact that in the frequency domain, MC sampling bears a strong resemblance to other sub-Nyquist CS acquisition protocols. In this paper, we consider MC sampling of analog frequency hopping signals, which can be viewed as multiband signals with changing band positions. This nonstationarity motivates our consideration of a segment-based reconstruction framework","authors_text":"Chia Wei Lim, Michael B. Wakin","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-03-22T17:47:06Z","title":"Reconstruction of Frequency Hopping Signals From Multi-Coset Samples"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06886","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:a24bc9bdb81d372d665b5cbc0e1377cbe12ed5e4b5a8d0d7f3bfca2793e80e2c","target":"record","created_at":"2026-05-18T01:18:34Z","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":"c164d7c06f365a57d1e9fd780a133a880d9906b358758d491d02c0a2e325013e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-03-22T17:47:06Z","title_canon_sha256":"0ddacd8cd6225ecf53bb8687f5b121cb1c661bfaf6bfad51b70487b90578c69b"},"schema_version":"1.0","source":{"id":"1603.06886","kind":"arxiv","version":1}},"canonical_sha256":"5dcb678c59bea79550641a6a0646b62aac6896730366bf803c3f3d5dee9be492","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dcb678c59bea79550641a6a0646b62aac6896730366bf803c3f3d5dee9be492","first_computed_at":"2026-05-18T01:18:34.494354Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:34.494354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NVxylym8tONZTgLzLwb0J1lT0hTfrLT3XeHi/nOXSi8j4CtYS+9ok4q3z/lbIjjMfO/ftX0jgvvmZpiY/JuYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:34.494942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a24bc9bdb81d372d665b5cbc0e1377cbe12ed5e4b5a8d0d7f3bfca2793e80e2c","sha256:919b7247951b9898be0695c6412343c4afeb4ec10217f4dcd980136566721741"],"state_sha256":"193571c75b78910a78a922561785999edd2697cc913e808b86597e0317196779"}