{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7X5PDPIMK2MRTERAEESCFUOYKO","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":"2df5784f0902ff2792cba58d601529b53694b620eb9d722e9e9832ebe3de4a26","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-13T22:39:23Z","title_canon_sha256":"0a31544f4fb4be6d415779c5c04edbcd4b94854f243dca01d95b18260a7a74bd"},"schema_version":"1.0","source":{"id":"1202.2887","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2887","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2887v2","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2887","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"pith_short_12","alias_value":"7X5PDPIMK2MR","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7X5PDPIMK2MRTERA","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7X5PDPIM","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:8a0d8c968365c851e8bf22481d6967dafa42e071aafabab605e8456aff1cf33f","target":"graph","created_at":"2026-05-18T03:55:13Z","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 consider a novel group testing procedure, termed semi-quantitative group testing, motivated by a class of problems arising in genome sequence processing. Semi-quantitative group testing (SQGT) is a non-binary pooling scheme that may be viewed as a combination of an adder model followed by a quantizer. For the new testing scheme we define the capacity and evaluate the capacity for some special choices of parameters using information theoretic methods. We also define a new class of disjunct codes suitable for SQGT, termed SQ-disjunct codes. We also provide both explicit and probabilistic code","authors_text":"Amin Emad, Olgica Milenkovic","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-13T22:39:23Z","title":"Semi-Quantitative Group Testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2887","kind":"arxiv","version":2},"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":"sha256:10356cd07e13800a8845262c7140daf1d86849028c75e1b9897b7b6ce75204fa","target":"record","created_at":"2026-05-18T03:55:13Z","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":"2df5784f0902ff2792cba58d601529b53694b620eb9d722e9e9832ebe3de4a26","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-13T22:39:23Z","title_canon_sha256":"0a31544f4fb4be6d415779c5c04edbcd4b94854f243dca01d95b18260a7a74bd"},"schema_version":"1.0","source":{"id":"1202.2887","kind":"arxiv","version":2}},"canonical_sha256":"fdfaf1bd0c5699199220212422d1d85386708bdef0664a84844b06b718e5c452","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdfaf1bd0c5699199220212422d1d85386708bdef0664a84844b06b718e5c452","first_computed_at":"2026-05-18T03:55:13.888081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:13.888081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2N5w7EkCj50I5+4phJxhONfHYAMlOsYj05Jf5/rq/4JydbtEne71TBhodq0TnSUddp/FJMkovApP6hIkcfttDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:13.888575Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2887","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10356cd07e13800a8845262c7140daf1d86849028c75e1b9897b7b6ce75204fa","sha256:8a0d8c968365c851e8bf22481d6967dafa42e071aafabab605e8456aff1cf33f"],"state_sha256":"ea0c703cd096e4c21aaa499aedccab23f414fe521a0577588f0946da8feef53f"}