{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DC66FVN3BXF6MGDY2I6KNFERXM","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":"ade56d453d6b134b8174e179de89335b19d319410c308899f34a52833d23a0fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-11-06T16:29:47Z","title_canon_sha256":"8781d62e72a1ffbcf3e22bc737d7ccf8e7d01806ce1abc8afe956d7fb7f20984"},"schema_version":"1.0","source":{"id":"1511.02141","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02141","created_at":"2026-05-18T01:27:21Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02141v2","created_at":"2026-05-18T01:27:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02141","created_at":"2026-05-18T01:27:21Z"},{"alias_kind":"pith_short_12","alias_value":"DC66FVN3BXF6","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DC66FVN3BXF6MGDY","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DC66FVN3","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:b93959f1effb7cb67e9bb7ca24dd643b7447247d88b4f7fb30cee0b185b936eb","target":"graph","created_at":"2026-05-18T01:27:21Z","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":"A grammar-compressed ranked tree is represented with a linear space overhead so that a single traversal step, i.e., the move to the parent or the i-th child, can be carried out in constant time. Moreover, we extend our data structure such that equality of subtrees can be checked in constant time.","authors_text":"Carl Philipp Reh, Markus Lohrey, Sebastian Maneth","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-11-06T16:29:47Z","title":"Traversing Grammar-Compressed Trees with Constant Delay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02141","kind":"arxiv","version":2},"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:f1471f717119805a91e553f40dcb9b9a125609f2780c9655e4e572966e5c999c","target":"record","created_at":"2026-05-18T01:27:21Z","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":"ade56d453d6b134b8174e179de89335b19d319410c308899f34a52833d23a0fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-11-06T16:29:47Z","title_canon_sha256":"8781d62e72a1ffbcf3e22bc737d7ccf8e7d01806ce1abc8afe956d7fb7f20984"},"schema_version":"1.0","source":{"id":"1511.02141","kind":"arxiv","version":2}},"canonical_sha256":"18bde2d5bb0dcbe61878d23ca69491bb21c742372b4e167936ac711e9b58f4d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18bde2d5bb0dcbe61878d23ca69491bb21c742372b4e167936ac711e9b58f4d0","first_computed_at":"2026-05-18T01:27:21.859600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:21.859600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F/Fk3DaOFsy5n+58kv7bsJD8x/kC0RlUWzTy499JH+NxlKmSkxTetD63ZhLu2UZDVbrR72sIqUdpjGVCqJMQAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:21.860046Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.02141","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1471f717119805a91e553f40dcb9b9a125609f2780c9655e4e572966e5c999c","sha256:b93959f1effb7cb67e9bb7ca24dd643b7447247d88b4f7fb30cee0b185b936eb"],"state_sha256":"47697549ac9bcf60bd2963766e10ed2d99797f2ea67a6d1bdf318e3e2ed6a892"}