{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EGR363ECOJV422GYUVKC2DUI72","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":"6daad75ca730a36c3665873b0e4e24145d308efe439c7ac7dd1beed8443ff1cd","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.IT","submitted_at":"2015-06-02T03:22:39Z","title_canon_sha256":"bf570c20e0b43187cd954d81798b63ca13f00133c477ef379834422e35d4d989"},"schema_version":"1.0","source":{"id":"1506.00740","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00740","created_at":"2026-05-18T00:54:58Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00740v5","created_at":"2026-05-18T00:54:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00740","created_at":"2026-05-18T00:54:58Z"},{"alias_kind":"pith_short_12","alias_value":"EGR363ECOJV4","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EGR363ECOJV422GY","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EGR363EC","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:5c1fdf4f5fc7f0f8a5e10b8801256f7dc2412aa7d4c9a42414f0252a3b294637","target":"graph","created_at":"2026-05-18T00:54:58Z","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 new family of codes, termed asymmetric Lee distance codes, that arise in the design and implementation of DNA-based storage systems and systems with parallel string transmission protocols. The codewords are defined over a quaternary alphabet, although the results carry over to other alphabet sizes; furthermore, symbol confusability is dictated by their underlying binary representation. Our contributions are two-fold. First, we demonstrate that the new distance represents a linear combination of the Lee and Hamming distance and derive upper bounds on the size of the codes under th","authors_text":"Han Mao Kiah, Olgica Milenkovic, Ryan Gabrys","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.IT","submitted_at":"2015-06-02T03:22:39Z","title":"Asymmetric Lee Distance Codes for DNA-Based Storage"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00740","kind":"arxiv","version":5},"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":"sha256:0780d0db3128989f9df025e09ac266a431d1b70c6afe47de4214e9659602d748","target":"record","created_at":"2026-05-18T00:54:58Z","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":"6daad75ca730a36c3665873b0e4e24145d308efe439c7ac7dd1beed8443ff1cd","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.IT","submitted_at":"2015-06-02T03:22:39Z","title_canon_sha256":"bf570c20e0b43187cd954d81798b63ca13f00133c477ef379834422e35d4d989"},"schema_version":"1.0","source":{"id":"1506.00740","kind":"arxiv","version":5}},"canonical_sha256":"21a3bf6c82726bcd68d8a5542d0e88fe8f56e894731c9a2fed1a4263a279385a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21a3bf6c82726bcd68d8a5542d0e88fe8f56e894731c9a2fed1a4263a279385a","first_computed_at":"2026-05-18T00:54:58.258764Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:58.258764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0UYDaL7eK601zxLl2qqpbPJMhbwyKyxlugXA9dPmy10gAR0eP1WlB3IMHuEy+ThlF3cXlhDbZ81TPIBpshHqCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:58.259239Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00740","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0780d0db3128989f9df025e09ac266a431d1b70c6afe47de4214e9659602d748","sha256:5c1fdf4f5fc7f0f8a5e10b8801256f7dc2412aa7d4c9a42414f0252a3b294637"],"state_sha256":"93bfa8a42c83b362f77b1b18c3be72a51889b9a89088bf187c76710b577d1691"}