{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XZWM57Q3WUFS5MEGUC3VPCZOZD","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":"61d8fbb16cb92db904097a4c2fc8ef3e1c70aa3df3d6232125444f48b746df83","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2012-07-14T03:07:04Z","title_canon_sha256":"41a7980dcc35b39ee202f6f8c4c1c3f09741eba2bd54dc05105118e930fd2658"},"schema_version":"1.0","source":{"id":"1207.3385","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.3385","created_at":"2026-05-18T03:51:01Z"},{"alias_kind":"arxiv_version","alias_value":"1207.3385v1","created_at":"2026-05-18T03:51:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.3385","created_at":"2026-05-18T03:51:01Z"},{"alias_kind":"pith_short_12","alias_value":"XZWM57Q3WUFS","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XZWM57Q3WUFS5MEG","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XZWM57Q3","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:ec7f7377d1e5c9ef999bdbf00f2fc8d3dec585ed786d2dee753702bfb254adc7","target":"graph","created_at":"2026-05-18T03:51:01Z","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 construct codes over the ring $\\mathbb{F}_2+u\\mathbb{F}_2$ with $u^2=0$. These code are designed for use in DNA computing applications. The codes obtained satisfy the reverse complement constraint, the $GC$ content constraint and avoid the secondary structure. they are derived from the cyclic complement reversible codes over the ring $\\mathbb{F}_2+u\\mathbb{F}_2$. We also construct an infinite family of BCH DNA codes.","authors_text":"Kenza Guenda, T. Aaron Gulliver","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2012-07-14T03:07:04Z","title":"Construction of Cyclic Codes over $\\mathbb{F}_2+u\\mathbb{F}_2$ for DNA Computing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.3385","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":"sha256:80190ac0d1a80901be0c98b58da06703b75729ad986a15611d58467b73a5f98a","target":"record","created_at":"2026-05-18T03:51:01Z","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":"61d8fbb16cb92db904097a4c2fc8ef3e1c70aa3df3d6232125444f48b746df83","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.IT","submitted_at":"2012-07-14T03:07:04Z","title_canon_sha256":"41a7980dcc35b39ee202f6f8c4c1c3f09741eba2bd54dc05105118e930fd2658"},"schema_version":"1.0","source":{"id":"1207.3385","kind":"arxiv","version":1}},"canonical_sha256":"be6ccefe1bb50b2eb086a0b7578b2ec8fbdb40f7adfe1d4e0539b60f922788e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be6ccefe1bb50b2eb086a0b7578b2ec8fbdb40f7adfe1d4e0539b60f922788e6","first_computed_at":"2026-05-18T03:51:01.341249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:01.341249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WEghXo8R7uXdkilbOz7bkZzu9MYCO0OqAQIiJOBFqm5U6yZepQZqPAJxzB8/QH0pLeDWTZIZWkzfmFcVrErbAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:01.342019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.3385","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80190ac0d1a80901be0c98b58da06703b75729ad986a15611d58467b73a5f98a","sha256:ec7f7377d1e5c9ef999bdbf00f2fc8d3dec585ed786d2dee753702bfb254adc7"],"state_sha256":"6c1ac3c06791df29a67d94a6efc7a85b4932b6a9d529bbf24a744bda2934e12d"}