{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:Z26U7PEY6LIWKLDNGXAKKTVIPJ","short_pith_number":"pith:Z26U7PEY","schema_version":"1.0","canonical_sha256":"cebd4fbc98f2d1652c6d35c0a54ea87a51279ff2b2856d92b206827240aa5e84","source":{"kind":"arxiv","id":"2607.01580","version":1},"attestation_state":"computed","paper":{"title":"Fully Persistent Dynamic LCE via AVL Trees and AVL Grammars","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Hiroki Arimura, Shunsuke Inenaga, Taiki Kaneda","submitted_at":"2026-07-02T01:25:52Z","abstract_excerpt":"We study fully persistent dynamic strings with equality and longest common extension (LCE) queries. Straightforward full persistence is problematic for the splay-based FeST structure, since the same unbalanced past version can be reused indefinitely and the usual amortized analysis no longer applies. We give a fully persistent dynamic LCE structure, called FeAVL, based on path copying over AVL trees. For an operation involving string(s) of total length $n$, it supports split, concatenate, and single-character updates in worst-case $O(\\log n)$ time, equality in worst-case $O(\\log n)$ time w.h.p"},"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":"2607.01580","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2026-07-02T01:25:52Z","cross_cats_sorted":[],"title_canon_sha256":"a9a0a1f1b0ef68fa05b3c69b1694f5df3bd2cd7896dc54d97cd4da46831befc1","abstract_canon_sha256":"cabe2212d30d186a976023e88161aa498f32b5482041475702bd3fef6616e074"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-03T01:17:02.433338Z","signature_b64":"f+gr66SJj/eAlkozcBPV2rf3F8/jQ5glNbgGsIAd4wr+kl6dLdL7VQpb56GziMFg7z3GvKdMMSHcls/iBL7IAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cebd4fbc98f2d1652c6d35c0a54ea87a51279ff2b2856d92b206827240aa5e84","last_reissued_at":"2026-07-03T01:17:02.432846Z","signature_status":"signed_v1","first_computed_at":"2026-07-03T01:17:02.432846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fully Persistent Dynamic LCE via AVL Trees and AVL Grammars","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Hiroki Arimura, Shunsuke Inenaga, Taiki Kaneda","submitted_at":"2026-07-02T01:25:52Z","abstract_excerpt":"We study fully persistent dynamic strings with equality and longest common extension (LCE) queries. Straightforward full persistence is problematic for the splay-based FeST structure, since the same unbalanced past version can be reused indefinitely and the usual amortized analysis no longer applies. We give a fully persistent dynamic LCE structure, called FeAVL, based on path copying over AVL trees. For an operation involving string(s) of total length $n$, it supports split, concatenate, and single-character updates in worst-case $O(\\log n)$ time, equality in worst-case $O(\\log n)$ time w.h.p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01580","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.01580/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.01580","created_at":"2026-07-03T01:17:02.432903+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.01580v1","created_at":"2026-07-03T01:17:02.432903+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01580","created_at":"2026-07-03T01:17:02.432903+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z26U7PEY6LIW","created_at":"2026-07-03T01:17:02.432903+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z26U7PEY6LIWKLDN","created_at":"2026-07-03T01:17:02.432903+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z26U7PEY","created_at":"2026-07-03T01:17:02.432903+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/Z26U7PEY6LIWKLDNGXAKKTVIPJ","json":"https://pith.science/pith/Z26U7PEY6LIWKLDNGXAKKTVIPJ.json","graph_json":"https://pith.science/api/pith-number/Z26U7PEY6LIWKLDNGXAKKTVIPJ/graph.json","events_json":"https://pith.science/api/pith-number/Z26U7PEY6LIWKLDNGXAKKTVIPJ/events.json","paper":"https://pith.science/paper/Z26U7PEY"},"agent_actions":{"view_html":"https://pith.science/pith/Z26U7PEY6LIWKLDNGXAKKTVIPJ","download_json":"https://pith.science/pith/Z26U7PEY6LIWKLDNGXAKKTVIPJ.json","view_paper":"https://pith.science/paper/Z26U7PEY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.01580&json=true","fetch_graph":"https://pith.science/api/pith-number/Z26U7PEY6LIWKLDNGXAKKTVIPJ/graph.json","fetch_events":"https://pith.science/api/pith-number/Z26U7PEY6LIWKLDNGXAKKTVIPJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z26U7PEY6LIWKLDNGXAKKTVIPJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z26U7PEY6LIWKLDNGXAKKTVIPJ/action/storage_attestation","attest_author":"https://pith.science/pith/Z26U7PEY6LIWKLDNGXAKKTVIPJ/action/author_attestation","sign_citation":"https://pith.science/pith/Z26U7PEY6LIWKLDNGXAKKTVIPJ/action/citation_signature","submit_replication":"https://pith.science/pith/Z26U7PEY6LIWKLDNGXAKKTVIPJ/action/replication_record"}},"created_at":"2026-07-03T01:17:02.432903+00:00","updated_at":"2026-07-03T01:17:02.432903+00:00"}