{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:6YG5PULTUG5SE55QDCD7MZXVA5","short_pith_number":"pith:6YG5PULT","schema_version":"1.0","canonical_sha256":"f60dd7d173a1bb2277b01887f666f5077eec024b5ebe7447b8f14b4452b069b7","source":{"kind":"arxiv","id":"2501.01506","version":2},"attestation_state":"computed","paper":{"title":"Modulo Sampling: Performance Guarantees in The Presence of Quantization","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Neil Irwin Bernardo, Shaik Basheeruddin Shah, Yonina C. Eldar","submitted_at":"2025-01-02T19:20:42Z","abstract_excerpt":"In this paper, we investigate the relationship between the dynamic range and quantization noise power in modulo analog-to-digital converters (ADCs). Two modulo ADC systems are considered: (1) a modulo ADC which outputs the folded samples and an additional 1-bit folding information signal, and (2) a modulo ADC without the 1-bit information. A recovery algorithm that unfolds the quantized modulo samples using the extra 1-bit folding information is analyzed. Using the dithered quantization framework, we show that an oversampling factor of $\\mathrm{OF} > 3$ and a quantizer resolution of $b > 3$ ar"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2501.01506","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SP","submitted_at":"2025-01-02T19:20:42Z","cross_cats_sorted":[],"title_canon_sha256":"f05d6c1b260b613c6014b0bee3091a522f6ba0a4b46298705d16a1f54185fd52","abstract_canon_sha256":"067358593f68187c98de38eb0f985d87760014511b99190f7f179125eff307c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:01:56.971892Z","signature_b64":"8v5EOgVjiotw5ItiBGNf672aIKygRZR+PLrEIPgcUz4kG1jUp++2me3VUDQh6qhRCwXbIwhUIvwtT1eyqY6TDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f60dd7d173a1bb2277b01887f666f5077eec024b5ebe7447b8f14b4452b069b7","last_reissued_at":"2026-07-05T12:01:56.971406Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:01:56.971406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modulo Sampling: Performance Guarantees in The Presence of Quantization","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Neil Irwin Bernardo, Shaik Basheeruddin Shah, Yonina C. Eldar","submitted_at":"2025-01-02T19:20:42Z","abstract_excerpt":"In this paper, we investigate the relationship between the dynamic range and quantization noise power in modulo analog-to-digital converters (ADCs). Two modulo ADC systems are considered: (1) a modulo ADC which outputs the folded samples and an additional 1-bit folding information signal, and (2) a modulo ADC without the 1-bit information. A recovery algorithm that unfolds the quantized modulo samples using the extra 1-bit folding information is analyzed. Using the dithered quantization framework, we show that an oversampling factor of $\\mathrm{OF} > 3$ and a quantizer resolution of $b > 3$ ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.01506","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.01506/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2501.01506","created_at":"2026-07-05T12:01:56.971465+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.01506v2","created_at":"2026-07-05T12:01:56.971465+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.01506","created_at":"2026-07-05T12:01:56.971465+00:00"},{"alias_kind":"pith_short_12","alias_value":"6YG5PULTUG5S","created_at":"2026-07-05T12:01:56.971465+00:00"},{"alias_kind":"pith_short_16","alias_value":"6YG5PULTUG5SE55Q","created_at":"2026-07-05T12:01:56.971465+00:00"},{"alias_kind":"pith_short_8","alias_value":"6YG5PULT","created_at":"2026-07-05T12:01:56.971465+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6YG5PULTUG5SE55QDCD7MZXVA5","json":"https://pith.science/pith/6YG5PULTUG5SE55QDCD7MZXVA5.json","graph_json":"https://pith.science/api/pith-number/6YG5PULTUG5SE55QDCD7MZXVA5/graph.json","events_json":"https://pith.science/api/pith-number/6YG5PULTUG5SE55QDCD7MZXVA5/events.json","paper":"https://pith.science/paper/6YG5PULT"},"agent_actions":{"view_html":"https://pith.science/pith/6YG5PULTUG5SE55QDCD7MZXVA5","download_json":"https://pith.science/pith/6YG5PULTUG5SE55QDCD7MZXVA5.json","view_paper":"https://pith.science/paper/6YG5PULT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.01506&json=true","fetch_graph":"https://pith.science/api/pith-number/6YG5PULTUG5SE55QDCD7MZXVA5/graph.json","fetch_events":"https://pith.science/api/pith-number/6YG5PULTUG5SE55QDCD7MZXVA5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6YG5PULTUG5SE55QDCD7MZXVA5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6YG5PULTUG5SE55QDCD7MZXVA5/action/storage_attestation","attest_author":"https://pith.science/pith/6YG5PULTUG5SE55QDCD7MZXVA5/action/author_attestation","sign_citation":"https://pith.science/pith/6YG5PULTUG5SE55QDCD7MZXVA5/action/citation_signature","submit_replication":"https://pith.science/pith/6YG5PULTUG5SE55QDCD7MZXVA5/action/replication_record"}},"created_at":"2026-07-05T12:01:56.971465+00:00","updated_at":"2026-07-05T12:01:56.971465+00:00"}