{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:MXSDAONQ2J74PX6LI2E3NEOU6L","short_pith_number":"pith:MXSDAONQ","schema_version":"1.0","canonical_sha256":"65e43039b0d27fc7dfcb4689b691d4f2cafa208e89a905b0a11529dd8c68740c","source":{"kind":"arxiv","id":"1903.11968","version":1},"attestation_state":"computed","paper":{"title":"On the stability of periodic binary sequences with zone restriction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ming Su, Qiang Wang","submitted_at":"2019-03-28T13:41:44Z","abstract_excerpt":"Traditional global stability measure for sequences is hard to determine because of large search space. We propose the $k$-error linear complexity with a zone restriction for measuring the local stability of sequences. Accordingly, we can efficiently determine the global stability by studying a local stability for these sequences. For several classes of sequences, we demonstrate that the $k$-error linear complexity is identical to the $k$-error linear complexity within a zone, while the length of a zone is much smaller than the whole period when the $k$-error linear complexity is large. These s"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1903.11968","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-03-28T13:41:44Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4f80fe94e8905433793512ae877ba0cf33dfea364bc0e542729ba913794ec311","abstract_canon_sha256":"1e6a89e3850164771ea48631dfcc93e8c7a5d172ef3cceb4982f972a64eee4fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:58.541181Z","signature_b64":"yxtxeS4Ufr3eKKfNAQPqvqnJLVYvjQ/KAE1Ry+k0FN/lc0bGEGfC1pLB55c1qtX2JVP1PQUp3KMQT2ZBuJCaAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65e43039b0d27fc7dfcb4689b691d4f2cafa208e89a905b0a11529dd8c68740c","last_reissued_at":"2026-05-17T23:49:58.540552Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:58.540552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the stability of periodic binary sequences with zone restriction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ming Su, Qiang Wang","submitted_at":"2019-03-28T13:41:44Z","abstract_excerpt":"Traditional global stability measure for sequences is hard to determine because of large search space. We propose the $k$-error linear complexity with a zone restriction for measuring the local stability of sequences. Accordingly, we can efficiently determine the global stability by studying a local stability for these sequences. For several classes of sequences, we demonstrate that the $k$-error linear complexity is identical to the $k$-error linear complexity within a zone, while the length of a zone is much smaller than the whole period when the $k$-error linear complexity is large. These s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11968","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1903.11968","created_at":"2026-05-17T23:49:58.540640+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.11968v1","created_at":"2026-05-17T23:49:58.540640+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11968","created_at":"2026-05-17T23:49:58.540640+00:00"},{"alias_kind":"pith_short_12","alias_value":"MXSDAONQ2J74","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"MXSDAONQ2J74PX6L","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"MXSDAONQ","created_at":"2026-05-18T12:33:24.271573+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MXSDAONQ2J74PX6LI2E3NEOU6L","json":"https://pith.science/pith/MXSDAONQ2J74PX6LI2E3NEOU6L.json","graph_json":"https://pith.science/api/pith-number/MXSDAONQ2J74PX6LI2E3NEOU6L/graph.json","events_json":"https://pith.science/api/pith-number/MXSDAONQ2J74PX6LI2E3NEOU6L/events.json","paper":"https://pith.science/paper/MXSDAONQ"},"agent_actions":{"view_html":"https://pith.science/pith/MXSDAONQ2J74PX6LI2E3NEOU6L","download_json":"https://pith.science/pith/MXSDAONQ2J74PX6LI2E3NEOU6L.json","view_paper":"https://pith.science/paper/MXSDAONQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.11968&json=true","fetch_graph":"https://pith.science/api/pith-number/MXSDAONQ2J74PX6LI2E3NEOU6L/graph.json","fetch_events":"https://pith.science/api/pith-number/MXSDAONQ2J74PX6LI2E3NEOU6L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MXSDAONQ2J74PX6LI2E3NEOU6L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MXSDAONQ2J74PX6LI2E3NEOU6L/action/storage_attestation","attest_author":"https://pith.science/pith/MXSDAONQ2J74PX6LI2E3NEOU6L/action/author_attestation","sign_citation":"https://pith.science/pith/MXSDAONQ2J74PX6LI2E3NEOU6L/action/citation_signature","submit_replication":"https://pith.science/pith/MXSDAONQ2J74PX6LI2E3NEOU6L/action/replication_record"}},"created_at":"2026-05-17T23:49:58.540640+00:00","updated_at":"2026-05-17T23:49:58.540640+00:00"}