{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:ZRCYSLCRBQIGMG4IJXB7Y35NQH","short_pith_number":"pith:ZRCYSLCR","schema_version":"1.0","canonical_sha256":"cc45892c510c10661b884dc3fc6fad81f421c4d47394fcccd22c6d6a43ecabec","source":{"kind":"arxiv","id":"2501.12167","version":1},"attestation_state":"computed","paper":{"title":"Soft-Decision Decoding for LDPC Code-Based Quantitative Group Testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alexandre Graell i Amat, Johan \\\"Ostman, Marvin Xhemrishi","submitted_at":"2025-01-21T14:28:20Z","abstract_excerpt":"We consider the problem of identifying defective items in a population with non-adaptive quantitative group testing. For this scenario, Mashauri et al. recently proposed a low-density parity-check (LDPC) code-based quantitative group testing scheme with a hard-decision decoding approach (akin to peeling decoding). This scheme outperforms generalized LDPC code-based quantitative group testing schemes in terms of the misdetection rate. In this work, we propose a belief-propagation-based decoder for quantitative group testing with LDPC codes, where the messages being passed are purely soft. Throu"},"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":"2501.12167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-01-21T14:28:20Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"dc8f11885561cd2830a4c83fcabfc21c7b601f14f7ad0e27bbdd0522aa3ce04f","abstract_canon_sha256":"a9c4fed3da95d0efe5c9b72502597b019b1122f07c4188272df6ca66048e7f70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:03:32.378489Z","signature_b64":"rumYH8DXw8GO7er1VMh4cWMT4Izwa7e+G+DDUHuLQKDZGPlVaa+cfpfDV9hqTLM8k3OgCRbxtspDgkc3n6tBDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc45892c510c10661b884dc3fc6fad81f421c4d47394fcccd22c6d6a43ecabec","last_reissued_at":"2026-07-05T10:03:32.378087Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:03:32.378087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Soft-Decision Decoding for LDPC Code-Based Quantitative Group Testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alexandre Graell i Amat, Johan \\\"Ostman, Marvin Xhemrishi","submitted_at":"2025-01-21T14:28:20Z","abstract_excerpt":"We consider the problem of identifying defective items in a population with non-adaptive quantitative group testing. For this scenario, Mashauri et al. recently proposed a low-density parity-check (LDPC) code-based quantitative group testing scheme with a hard-decision decoding approach (akin to peeling decoding). This scheme outperforms generalized LDPC code-based quantitative group testing schemes in terms of the misdetection rate. In this work, we propose a belief-propagation-based decoder for quantitative group testing with LDPC codes, where the messages being passed are purely soft. Throu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.12167","kind":"arxiv","version":1},"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/2501.12167/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":"2501.12167","created_at":"2026-07-05T10:03:32.378145+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.12167v1","created_at":"2026-07-05T10:03:32.378145+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.12167","created_at":"2026-07-05T10:03:32.378145+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZRCYSLCRBQIG","created_at":"2026-07-05T10:03:32.378145+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZRCYSLCRBQIGMG4I","created_at":"2026-07-05T10:03:32.378145+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZRCYSLCR","created_at":"2026-07-05T10:03:32.378145+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/ZRCYSLCRBQIGMG4IJXB7Y35NQH","json":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH.json","graph_json":"https://pith.science/api/pith-number/ZRCYSLCRBQIGMG4IJXB7Y35NQH/graph.json","events_json":"https://pith.science/api/pith-number/ZRCYSLCRBQIGMG4IJXB7Y35NQH/events.json","paper":"https://pith.science/paper/ZRCYSLCR"},"agent_actions":{"view_html":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH","download_json":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH.json","view_paper":"https://pith.science/paper/ZRCYSLCR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.12167&json=true","fetch_graph":"https://pith.science/api/pith-number/ZRCYSLCRBQIGMG4IJXB7Y35NQH/graph.json","fetch_events":"https://pith.science/api/pith-number/ZRCYSLCRBQIGMG4IJXB7Y35NQH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH/action/storage_attestation","attest_author":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH/action/author_attestation","sign_citation":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH/action/citation_signature","submit_replication":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH/action/replication_record"}},"created_at":"2026-07-05T10:03:32.378145+00:00","updated_at":"2026-07-05T10:03:32.378145+00:00"}