{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PUY6BEDMWKYARWZZOBTAXLWEWO","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":"bcd8273745783d9d51f965e973f8c343b0c3ff1c1798eecea07cfdee4f2954ac","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-07-22T07:58:27Z","title_canon_sha256":"2884f0bca4d26d2efbc0c4b255a5aab47d735f2aa5f76286ad31620c5ad24f62"},"schema_version":"1.0","source":{"id":"1407.5773","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5773","created_at":"2026-05-18T02:47:06Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5773v1","created_at":"2026-05-18T02:47:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5773","created_at":"2026-05-18T02:47:06Z"},{"alias_kind":"pith_short_12","alias_value":"PUY6BEDMWKYA","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PUY6BEDMWKYARWZZ","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PUY6BEDM","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:cdf062659cca62409815e8995d7cdb6ba47fde817a62e25c197492a19688bccc","target":"graph","created_at":"2026-05-18T02:47:06Z","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":"The interpolation-based decoding that was developed for general evaluation AG codes is shown to be equally applicable to general differential AG codes. A performance analysis of the decoding algorithm, which is parallel to that of its companion algorithm, is reported. In particular, the decoding capacities of evaluation AG codes and differential AG codes are seen to be nicely interrelated. As an interesting special case, a decoding algorithm for classical Goppa codes is presented.","authors_text":"Kwankyu Lee","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-07-22T07:58:27Z","title":"Decoding of Differential AG Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5773","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":"sha256:43bfdfefb16e43649f6ee4e125f64188093f9113af613cb276f2668d7d7eaecb","target":"record","created_at":"2026-05-18T02:47:06Z","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":"bcd8273745783d9d51f965e973f8c343b0c3ff1c1798eecea07cfdee4f2954ac","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-07-22T07:58:27Z","title_canon_sha256":"2884f0bca4d26d2efbc0c4b255a5aab47d735f2aa5f76286ad31620c5ad24f62"},"schema_version":"1.0","source":{"id":"1407.5773","kind":"arxiv","version":1}},"canonical_sha256":"7d31e0906cb2b008db3970660baec4b39d2cfd3a6f5d54a7af53fda53663079a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d31e0906cb2b008db3970660baec4b39d2cfd3a6f5d54a7af53fda53663079a","first_computed_at":"2026-05-18T02:47:06.651579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:06.651579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wagPxBoMzNiSWqD8RsQoR+yF6HCBy7Te37Nk0AqyXSS5CuTAfF6YRI0jkeECi5nF9kePo5XO+45XLNlv6+NfAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:06.651948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5773","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43bfdfefb16e43649f6ee4e125f64188093f9113af613cb276f2668d7d7eaecb","sha256:cdf062659cca62409815e8995d7cdb6ba47fde817a62e25c197492a19688bccc"],"state_sha256":"4a6e41754d523edba396265db5cf4639df3a3ded70ce1ea4fa92229c5ff4b0a3"}