{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NUYIPSABYFCQC5TKHBEEZMTA2H","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":"39adfd20f25389b3be6ee302dfc9b75e961f1f069d17be276bf84aa46ee7910a","cross_cats_sorted":["math.IT","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-15T18:53:30Z","title_canon_sha256":"b0919071cf17457fa9d92aa7401d10cd22a47943089a4283011620878f88c2d6"},"schema_version":"1.0","source":{"id":"1702.04711","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04711","created_at":"2026-05-18T00:50:40Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04711v1","created_at":"2026-05-18T00:50:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04711","created_at":"2026-05-18T00:50:40Z"},{"alias_kind":"pith_short_12","alias_value":"NUYIPSABYFCQ","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"NUYIPSABYFCQC5TK","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"NUYIPSAB","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:b9656f0db4f2c28043cfeb7a35c63270dd15717159088569c64ecf2f2ab6a07c","target":"graph","created_at":"2026-05-18T00:50:40Z","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 provide the first analysis of a non-trivial quantization scheme for compressed sensing measurements arising from structured measurements. Specifically, our analysis studies compressed sensing matrices consisting of rows selected at random, without replacement, from a circulant matrix generated by a random subgaussian vector. We quantize the measurements using stable, possibly one-bit, Sigma-Delta schemes, and use a reconstruction method based on convex optimization. We show that the part of the reconstruction error due to quantization decays polynomially in the number of measurements. This ","authors_text":"Felix Krahmer, Joe-Mei Feng, Rayan Saab","cross_cats":["math.IT","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-15T18:53:30Z","title":"Quantized Compressed Sensing for Partial Random Circulant Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04711","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:f59e2978b5fbfdbe91054c9ad3f179a870ad878fa4c79add4f8f2f744fc605c4","target":"record","created_at":"2026-05-18T00:50:40Z","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":"39adfd20f25389b3be6ee302dfc9b75e961f1f069d17be276bf84aa46ee7910a","cross_cats_sorted":["math.IT","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-15T18:53:30Z","title_canon_sha256":"b0919071cf17457fa9d92aa7401d10cd22a47943089a4283011620878f88c2d6"},"schema_version":"1.0","source":{"id":"1702.04711","kind":"arxiv","version":1}},"canonical_sha256":"6d3087c801c14501766a38484cb260d1c227488b9af48f00e7d42af87a554db2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d3087c801c14501766a38484cb260d1c227488b9af48f00e7d42af87a554db2","first_computed_at":"2026-05-18T00:50:40.846003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:40.846003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Rqn1pAVyJ65NqDJQNZArFYIvXNJVN1HtQ6jOB8f6wda19SefQtDUwXfEbPYgCUty1l/xECa9kL3yTEq+JPnAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:40.846550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04711","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f59e2978b5fbfdbe91054c9ad3f179a870ad878fa4c79add4f8f2f744fc605c4","sha256:b9656f0db4f2c28043cfeb7a35c63270dd15717159088569c64ecf2f2ab6a07c"],"state_sha256":"5030972470d0b23eb3cf6c3901c44553507897ee2acabdf89f863cfd0d8e2d8e"}