{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:663NTGH3DN4EP4ITA6ANYNKHXC","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":"f26a2cb08f8815c9923fab5465d671417197cd6c555f8e9f8f4bdd8e1425063a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-01-27T23:04:43Z","title_canon_sha256":"3520ae53ddb2ae7fb4b5588fddec9e198b7cf24825a6dc2a91b67070048326ff"},"schema_version":"1.0","source":{"id":"1101.5411","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5411","created_at":"2026-05-18T04:30:35Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5411v1","created_at":"2026-05-18T04:30:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5411","created_at":"2026-05-18T04:30:35Z"},{"alias_kind":"pith_short_12","alias_value":"663NTGH3DN4E","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"663NTGH3DN4EP4IT","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"663NTGH3","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:8e64b0cd863920955b51d35a770381ad22c79864fc2b943ecc0d8d7308115b8f","target":"graph","created_at":"2026-05-18T04:30:35Z","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":"In a previous work it was shown that the best measure for the efficiency of a single burst-correcting code is obtained using the Gallager bound as opposed to the Reiger bound. In this paper, an efficient algorithm that searches for the best (shortened) cyclic burst-correcting codes is presented. Using this algorithm, extensive tables that either tie existing constructions or improve them are obtained for burst lengths up to b=10.","authors_text":"Ana Lucila Sandoval Orozco, Jos\\'e Ren\\'e Fuentes Cortez, Luis Javier Garc\\'ia Villalba, Mario Blaum","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-01-27T23:04:43Z","title":"Efficient Algorithms for Searching Optimal Shortened Cyclic Single-Burst-Correcting Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5411","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":"sha256:8c638d34c7f90f1b2decae99863389d15e41eb138a32bffbf13f0e125cf5d243","target":"record","created_at":"2026-05-18T04:30:35Z","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":"f26a2cb08f8815c9923fab5465d671417197cd6c555f8e9f8f4bdd8e1425063a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-01-27T23:04:43Z","title_canon_sha256":"3520ae53ddb2ae7fb4b5588fddec9e198b7cf24825a6dc2a91b67070048326ff"},"schema_version":"1.0","source":{"id":"1101.5411","kind":"arxiv","version":1}},"canonical_sha256":"f7b6d998fb1b7847f1130780dc3547b8a63c59cb1bd6962a390a56b00d8f4948","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7b6d998fb1b7847f1130780dc3547b8a63c59cb1bd6962a390a56b00d8f4948","first_computed_at":"2026-05-18T04:30:35.061674Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:35.061674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tgfaBMkTuNcb0fbxziyYEM+CK4WVs6iy5Rbiv5dj1ajOm32mX9TAxWBcdoyrrUyD757oWXqEenVOOhdbbtdQAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:35.062201Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5411","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c638d34c7f90f1b2decae99863389d15e41eb138a32bffbf13f0e125cf5d243","sha256:8e64b0cd863920955b51d35a770381ad22c79864fc2b943ecc0d8d7308115b8f"],"state_sha256":"0ce6c147f74336923b52486843cbc73ba4cc6f665fb43c991113ad0369688858"}