{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NLML74W2YRK5TLDG3YCJ7VUW2J","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":"20705f027758f3ea28db187ee18d323a441dfba8d291884350b51c6cdb0d06f9","cross_cats_sorted":["eess.SP","math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-12-17T11:54:35Z","title_canon_sha256":"8c9ffe18897e8432aa1a0f51e932b7b7527f9c2fdc81e694276f61e49682dabe"},"schema_version":"1.0","source":{"id":"1812.06719","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.06719","created_at":"2026-05-17T23:58:09Z"},{"alias_kind":"arxiv_version","alias_value":"1812.06719v1","created_at":"2026-05-17T23:58:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06719","created_at":"2026-05-17T23:58:09Z"},{"alias_kind":"pith_short_12","alias_value":"NLML74W2YRK5","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NLML74W2YRK5TLDG","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NLML74W2","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:89fcee66e0fb9ea4ce4e4b14b8b5d59c2dc4bea43aff6daba96f47c431065c2b","target":"graph","created_at":"2026-05-17T23:58:09Z","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 present optimal sample complexity estimates for one-bit compressed sensing problems in a realistic scenario: the procedure uses a structured matrix (a randomly sub-sampled circulant matrix) and is robust to analog pre-quantization noise as well as to adversarial bit corruptions in the quantization process. Our results imply that quantization is not a statistically expensive procedure in the presence of nontrivial analog noise: recovery requires the same sample size one would have needed had the measurement matrix been Gaussian and the noisy analog measurements been given as data.","authors_text":"Shahar Mendelson, Sjoerd Dirksen","cross_cats":["eess.SP","math.IT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-12-17T11:54:35Z","title":"Robust one-bit compressed sensing with partial circulant matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06719","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":"sha256:6d070948e59de5370ff49190f3d9540f6abb678bba9702bbe77c696d31303217","target":"record","created_at":"2026-05-17T23:58:09Z","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":"20705f027758f3ea28db187ee18d323a441dfba8d291884350b51c6cdb0d06f9","cross_cats_sorted":["eess.SP","math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-12-17T11:54:35Z","title_canon_sha256":"8c9ffe18897e8432aa1a0f51e932b7b7527f9c2fdc81e694276f61e49682dabe"},"schema_version":"1.0","source":{"id":"1812.06719","kind":"arxiv","version":1}},"canonical_sha256":"6ad8bff2dac455d9ac66de049fd696d256872bd788bac29b9b1440ac12b768ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ad8bff2dac455d9ac66de049fd696d256872bd788bac29b9b1440ac12b768ba","first_computed_at":"2026-05-17T23:58:09.483971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:09.483971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f+pKQ4HY7KvJ5lExPVEX8A/j1qmghB0vddeo8RkdCe85VmSg8R6VZ4qOdnCH1ff4gfLDY6brDNZMphJnk0fQDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:09.484550Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.06719","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d070948e59de5370ff49190f3d9540f6abb678bba9702bbe77c696d31303217","sha256:89fcee66e0fb9ea4ce4e4b14b8b5d59c2dc4bea43aff6daba96f47c431065c2b"],"state_sha256":"57e187e69bf7f1469739699cbfc7cab857d4efe68bc732411d73d07a3240cf1f"}