{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6E4MQ5KSFUFB6HOXCYLUAYVAJ5","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":"42ab53fef27955c6e768c8982a8d2ab00d38c3bcdc2fa37595b4e19785b615ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-04-25T01:07:13Z","title_canon_sha256":"118686b44fca17b4c4c39d9de85efa6fd8b8ec1c61d2ed3a2dc0498d3bfe06fc"},"schema_version":"1.0","source":{"id":"1204.5524","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5524","created_at":"2026-05-18T02:21:15Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5524v3","created_at":"2026-05-18T02:21:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5524","created_at":"2026-05-18T02:21:15Z"},{"alias_kind":"pith_short_12","alias_value":"6E4MQ5KSFUFB","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6E4MQ5KSFUFB6HOX","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6E4MQ5KS","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:439b8810925b858e48a6053ab2f52da5093e6b557213e5dd6d6a0b208539660c","target":"graph","created_at":"2026-05-18T02:21:15Z","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":"We propose a new approach for calculating the Lempel-Ziv factorization of a string, based on run length encoding (RLE). We present a conceptually simple off-line algorithm based on a variant of suffix arrays, as well as an on-line algorithm based on a variant of directed acyclic word graphs (DAWGs). Both algorithms run in $O(N+n\\log n)$ time and O(n) extra space, where N is the size of the string, $n\\leq N$ is the number of RLE factors. The time dependency on N is only in the conversion of the string to RLE, which can be computed very efficiently in O(N) time and O(1) extra space (excluding th","authors_text":"Hideo Bannai, Jun'ichi Yamamoto, Masayuki Takeda, Shunsuke Inenaga","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-04-25T01:07:13Z","title":"Time and Space Efficient Lempel-Ziv Factorization based on Run Length Encoding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5524","kind":"arxiv","version":3},"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:c3668c30e2f268eaca96ac8d4da93241c04d5d25603c0879872762444b24d752","target":"record","created_at":"2026-05-18T02:21:15Z","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":"42ab53fef27955c6e768c8982a8d2ab00d38c3bcdc2fa37595b4e19785b615ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-04-25T01:07:13Z","title_canon_sha256":"118686b44fca17b4c4c39d9de85efa6fd8b8ec1c61d2ed3a2dc0498d3bfe06fc"},"schema_version":"1.0","source":{"id":"1204.5524","kind":"arxiv","version":3}},"canonical_sha256":"f138c875522d0a1f1dd716174062a04f5d75e25da2b4643ac6b77444f515ac27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f138c875522d0a1f1dd716174062a04f5d75e25da2b4643ac6b77444f515ac27","first_computed_at":"2026-05-18T02:21:15.992037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:15.992037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/DaURywAq28ci23mWvS4xnlZz3tKUnphlfJeeeh9JmiAy9Au9EbgrSiw6xT6A+nnLdp01U3B1hcp/XL7HkB8AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:15.992688Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.5524","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3668c30e2f268eaca96ac8d4da93241c04d5d25603c0879872762444b24d752","sha256:439b8810925b858e48a6053ab2f52da5093e6b557213e5dd6d6a0b208539660c"],"state_sha256":"98bce722f652f2906b326d7b0bd7c63a44d7e6dd69a746ec39eb65b8429e90e4"}