{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:EGGW7ZUZTSXLKDL5UTI4XTL7OM","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":"c04c09bb894931896ab508f08692a14c020effc8b135c4cd24921638d2eaf01e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-12-30T13:04:56Z","title_canon_sha256":"c72157026e9d4e4ab770525216628f8c293c3f9f69631841c920c7b5b86542b2"},"schema_version":"1.0","source":{"id":"1101.0080","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.0080","created_at":"2026-05-18T02:23:05Z"},{"alias_kind":"arxiv_version","alias_value":"1101.0080v3","created_at":"2026-05-18T02:23:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0080","created_at":"2026-05-18T02:23:05Z"},{"alias_kind":"pith_short_12","alias_value":"EGGW7ZUZTSXL","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EGGW7ZUZTSXLKDL5","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EGGW7ZUZ","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:b23886dea80b06f7c56dfc6488007045b5d349c8e7ccf99879c4df3c1aec88c2","target":"graph","created_at":"2026-05-18T02:23:05Z","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":"Practical data structures for the edit-sensitive parsing (ESP) are proposed. Given a string S, its ESP tree is equivalent to a context-free grammar G generating just S, which is represented by a DAG. Using the succinct data structures for trees and permutations, G is decomposed to two LOUDS bit strings and single array in (1+\\epsilon)n\\log n+4n+o(n) bits for any 0<\\epsilon <1 and the number n of variables in G. The time to count occurrences of P in S is in O(\\frac{1}{\\epsilon}(m\\log n+occ_c(\\log m\\log u)), whereas m = |P|, u = |S|, and occ_c is the number of occurrences of a maximal common sub","authors_text":"Hiroshi Sakamoto, Masaya Nakahara, Naoya Kishiue, Shirou Maruyama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-12-30T13:04:56Z","title":"A Searchable Compressed Edit-Sensitive Parsing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0080","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:bac7c47db07c46f22d06d184e4b5fc4ed8d29a111c822c79ff36d56613c0d07d","target":"record","created_at":"2026-05-18T02:23:05Z","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":"c04c09bb894931896ab508f08692a14c020effc8b135c4cd24921638d2eaf01e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2010-12-30T13:04:56Z","title_canon_sha256":"c72157026e9d4e4ab770525216628f8c293c3f9f69631841c920c7b5b86542b2"},"schema_version":"1.0","source":{"id":"1101.0080","kind":"arxiv","version":3}},"canonical_sha256":"218d6fe6999caeb50d7da4d1cbcd7f73279deacebab29e8a42ed40dbc7e0e030","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"218d6fe6999caeb50d7da4d1cbcd7f73279deacebab29e8a42ed40dbc7e0e030","first_computed_at":"2026-05-18T02:23:05.980073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:05.980073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DJK13cCUrP1sNkrwFfMhofIBQ41qe9/nQYmp8x17te/dKLuw64LwJNBaHQIDUBv/LJTOjEFVQSi4YO4qYfalDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:05.980555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.0080","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bac7c47db07c46f22d06d184e4b5fc4ed8d29a111c822c79ff36d56613c0d07d","sha256:b23886dea80b06f7c56dfc6488007045b5d349c8e7ccf99879c4df3c1aec88c2"],"state_sha256":"9ef130f02685fb592d5cc74570db243579bd85a80a04e734f9f9057a91a32dff"}