{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ZRCYSLCRBQIGMG4IJXB7Y35NQH","short_pith_number":"pith:ZRCYSLCR","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"},"canonical_sha256":"cc45892c510c10661b884dc3fc6fad81f421c4d47394fcccd22c6d6a43ecabec","source":{"kind":"arxiv","id":"2501.12167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.12167","created_at":"2026-07-05T10:03:32Z"},{"alias_kind":"arxiv_version","alias_value":"2501.12167v1","created_at":"2026-07-05T10:03:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.12167","created_at":"2026-07-05T10:03:32Z"},{"alias_kind":"pith_short_12","alias_value":"ZRCYSLCRBQIG","created_at":"2026-07-05T10:03:32Z"},{"alias_kind":"pith_short_16","alias_value":"ZRCYSLCRBQIGMG4I","created_at":"2026-07-05T10:03:32Z"},{"alias_kind":"pith_short_8","alias_value":"ZRCYSLCR","created_at":"2026-07-05T10:03:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ZRCYSLCRBQIGMG4IJXB7Y35NQH","target":"record","payload":{"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"},"canonical_sha256":"cc45892c510c10661b884dc3fc6fad81f421c4d47394fcccd22c6d6a43ecabec","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"},"source_kind":"arxiv","source_id":"2501.12167","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:03:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wj2UXjh9bYSKytwR2QuoTEZE5FMPk8H1cJv0d+samf6HfbcON7sDq/Oh1dePhhWBmed/o6O4Q65ZIgZAGQcdBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:30:43.277156Z"},"content_sha256":"53285206d69c1cf57c4f7f8bdc5c3d846267b214472910317804999f7ccde2cb","schema_version":"1.0","event_id":"sha256:53285206d69c1cf57c4f7f8bdc5c3d846267b214472910317804999f7ccde2cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ZRCYSLCRBQIGMG4IJXB7Y35NQH","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:03:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VdnT3LX1tO/AnPinHoZkJm3WS/iilnU7c8oE5dCy+AntOG7h25jAtYaG7ceV4q1maBT9/HozQNjfc4A54EwnAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T14:30:43.277685Z"},"content_sha256":"8cc7795a23e9094aab7a1c0d395b82ec8dbbf2de50653e864aceb4df313ab583","schema_version":"1.0","event_id":"sha256:8cc7795a23e9094aab7a1c0d395b82ec8dbbf2de50653e864aceb4df313ab583"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH/bundle.json","state_url":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-11T14:30:43Z","links":{"resolver":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH","bundle":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH/bundle.json","state":"https://pith.science/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZRCYSLCRBQIGMG4IJXB7Y35NQH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZRCYSLCRBQIGMG4IJXB7Y35NQH","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":"a9c4fed3da95d0efe5c9b72502597b019b1122f07c4188272df6ca66048e7f70","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-01-21T14:28:20Z","title_canon_sha256":"dc8f11885561cd2830a4c83fcabfc21c7b601f14f7ad0e27bbdd0522aa3ce04f"},"schema_version":"1.0","source":{"id":"2501.12167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.12167","created_at":"2026-07-05T10:03:32Z"},{"alias_kind":"arxiv_version","alias_value":"2501.12167v1","created_at":"2026-07-05T10:03:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.12167","created_at":"2026-07-05T10:03:32Z"},{"alias_kind":"pith_short_12","alias_value":"ZRCYSLCRBQIG","created_at":"2026-07-05T10:03:32Z"},{"alias_kind":"pith_short_16","alias_value":"ZRCYSLCRBQIGMG4I","created_at":"2026-07-05T10:03:32Z"},{"alias_kind":"pith_short_8","alias_value":"ZRCYSLCR","created_at":"2026-07-05T10:03:32Z"}],"graph_snapshots":[{"event_id":"sha256:8cc7795a23e9094aab7a1c0d395b82ec8dbbf2de50653e864aceb4df313ab583","target":"graph","created_at":"2026-07-05T10:03:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.12167/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Alexandre Graell i Amat, Johan \\\"Ostman, Marvin Xhemrishi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-01-21T14:28:20Z","title":"Soft-Decision Decoding for LDPC Code-Based Quantitative Group Testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.12167","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":"sha256:53285206d69c1cf57c4f7f8bdc5c3d846267b214472910317804999f7ccde2cb","target":"record","created_at":"2026-07-05T10:03:32Z","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":"a9c4fed3da95d0efe5c9b72502597b019b1122f07c4188272df6ca66048e7f70","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-01-21T14:28:20Z","title_canon_sha256":"dc8f11885561cd2830a4c83fcabfc21c7b601f14f7ad0e27bbdd0522aa3ce04f"},"schema_version":"1.0","source":{"id":"2501.12167","kind":"arxiv","version":1}},"canonical_sha256":"cc45892c510c10661b884dc3fc6fad81f421c4d47394fcccd22c6d6a43ecabec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc45892c510c10661b884dc3fc6fad81f421c4d47394fcccd22c6d6a43ecabec","first_computed_at":"2026-07-05T10:03:32.378087Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:03:32.378087Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rumYH8DXw8GO7er1VMh4cWMT4Izwa7e+G+DDUHuLQKDZGPlVaa+cfpfDV9hqTLM8k3OgCRbxtspDgkc3n6tBDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:03:32.378489Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.12167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53285206d69c1cf57c4f7f8bdc5c3d846267b214472910317804999f7ccde2cb","sha256:8cc7795a23e9094aab7a1c0d395b82ec8dbbf2de50653e864aceb4df313ab583"],"state_sha256":"a35639198bc631d4677c22755f0b3b7dfc412dcde844e843f080b57349068e6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rR6mjY4KP353hzmQpRf7CqkhgKP+TiXc78T7dJ5c9YO0TPEoGD4o9HKk6pRPQOtGJ9kQJ+XdJz/xCUpVPIWqCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T14:30:43.281383Z","bundle_sha256":"b337d78479d9ad4296ed2ae69c6b5358cec2c5df2dcc4454555baa3a2ad8a103"}}