{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LO545GRGBY7PVT3WN6N2CXXTMK","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":"06b0089ba986635e30ef0982cc07991e9a0ae06a31a4a9d26a66d03259159db2","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-11-04T19:41:07Z","title_canon_sha256":"449faf2ffafb4565ffcaebce99e8022c81dced789f02c18177fc93b96aaa96cd"},"schema_version":"1.0","source":{"id":"1311.0822","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0822","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0822v1","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0822","created_at":"2026-05-18T03:08:04Z"},{"alias_kind":"pith_short_12","alias_value":"LO545GRGBY7P","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LO545GRGBY7PVT3W","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LO545GRG","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:b16d5154ca5c7fc784ddb9763c5edda290b5669ec920875ddea5a8acbfa4a61c","target":"graph","created_at":"2026-05-18T03:08:04Z","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 properties of maximum Lempel-Ziv complexity strings are studied for the binary case. A comparison between MLZs and random strings is carried out. The length profile of both type of sequences show different distribution functions. The non-stationary character of the MLZs are discussed. The issue of sensitiveness to noise is also addressed. An empirical ansatz is found that fits well to the Lempel-Ziv complexity of the MLZs for all lengths up to $10^6$ symbols.","authors_text":"B. Arag\\'on Fern\\'andez, C. A. J. Nunes, E. Estevez-Rams, R. Lora Serrano","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-11-04T19:41:07Z","title":"Properties of maximum Lempel-Ziv complexity strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0822","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":"sha256:48b6ca0975f9f15152c090a1a63f1eb73611fa32336e65a7047b206d0d8cd863","target":"record","created_at":"2026-05-18T03:08:04Z","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":"06b0089ba986635e30ef0982cc07991e9a0ae06a31a4a9d26a66d03259159db2","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-11-04T19:41:07Z","title_canon_sha256":"449faf2ffafb4565ffcaebce99e8022c81dced789f02c18177fc93b96aaa96cd"},"schema_version":"1.0","source":{"id":"1311.0822","kind":"arxiv","version":1}},"canonical_sha256":"5bbbce9a260e3efacf766f9ba15ef362830e397974b698e96476122c22d88a98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bbbce9a260e3efacf766f9ba15ef362830e397974b698e96476122c22d88a98","first_computed_at":"2026-05-18T03:08:04.746919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:04.746919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WcDxWQyn5Z90hHvI8oQGJWy1qUnt5frYSD7muvb0PEG1M469sguZRuGvjiHbkr1s9yjZpHDr3P8Q+peTxMNpAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:04.747412Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0822","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48b6ca0975f9f15152c090a1a63f1eb73611fa32336e65a7047b206d0d8cd863","sha256:b16d5154ca5c7fc784ddb9763c5edda290b5669ec920875ddea5a8acbfa4a61c"],"state_sha256":"0442311ac83ee576853d91ee39c5a4ef3c67b360589bfcad1adfb48d7bc7057e"}