{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:F3PVR72RWXMWWFP5EH5FFTRS6X","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":"7173f32cfb67d105a22278753e8993d3dbede0a88729214ff5167b55b0d5cc8b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-27T20:02:41Z","title_canon_sha256":"2612f8441e36dbcacc0f45d0e03261a28ec72c7dcf80c2c4aecfa063de0898d5"},"schema_version":"1.0","source":{"id":"1705.09859","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09859","created_at":"2026-05-18T00:43:34Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09859v1","created_at":"2026-05-18T00:43:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09859","created_at":"2026-05-18T00:43:34Z"},{"alias_kind":"pith_short_12","alias_value":"F3PVR72RWXMW","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F3PVR72RWXMWWFP5","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F3PVR72R","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:5cdcdad0af395b3501151404fe5fa2cb24ec71e620de127885453798965d3734","target":"graph","created_at":"2026-05-18T00:43:34Z","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 problem of identifying whether the family of cyclic codes is asymptotically good or not is a long-standing open problem in the field of coding theory. It is known in the literature that some families of cyclic codes such as BCH codes and Reed-Solomon codes are asymptotically bad, however in general the answer to this question is not known. A recent result by Nelson and Van Zwam shows that, all linear codes can be obtained by a sequence of puncturing and/or shortening of a collection of asymptotically good codes~\\cite{Nelson_2015}. In this paper, we prove that any linear code can be obtaine","authors_text":"Arti Yardi, Ruud Pellikaan","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-27T20:02:41Z","title":"On shortened and punctured cyclic codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09859","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":"sha256:13eae0abd5464a0e42624957ba19a232935e7d0df4e536064d1f0d7993140aa3","target":"record","created_at":"2026-05-18T00:43:34Z","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":"7173f32cfb67d105a22278753e8993d3dbede0a88729214ff5167b55b0d5cc8b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-27T20:02:41Z","title_canon_sha256":"2612f8441e36dbcacc0f45d0e03261a28ec72c7dcf80c2c4aecfa063de0898d5"},"schema_version":"1.0","source":{"id":"1705.09859","kind":"arxiv","version":1}},"canonical_sha256":"2edf58ff51b5d96b15fd21fa52ce32f5d8704631604c695420f30a4ab6fc9342","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2edf58ff51b5d96b15fd21fa52ce32f5d8704631604c695420f30a4ab6fc9342","first_computed_at":"2026-05-18T00:43:34.351729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:34.351729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"seIoh9TH5MvPi4rQfzWTAX77z9YDjcj0IJXQK2y27kVMrruNiGYtkBJATg38Kjbcd+YuCSZdbxw0HaUsDYymAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:34.352163Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.09859","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13eae0abd5464a0e42624957ba19a232935e7d0df4e536064d1f0d7993140aa3","sha256:5cdcdad0af395b3501151404fe5fa2cb24ec71e620de127885453798965d3734"],"state_sha256":"56ec146e2c7dcfa2ddb9131cbf2e94294b2482199819c837ff7f080d57e788b4"}