{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2CKOJ4S57VMQDM5WTZE4EOEQJX","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":"cea8e7dd1fb3b8616ffcebd525ba841a0f1c23a6875bfb2822a6abc36cf390d6","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2014-12-16T05:14:44Z","title_canon_sha256":"c73b3cdec3f25ed2798bdb79b7802658bcc5da3d16cfa8c7b4ae9b4c65edf320"},"schema_version":"1.0","source":{"id":"1412.4882","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4882","created_at":"2026-05-18T02:31:10Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4882v1","created_at":"2026-05-18T02:31:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4882","created_at":"2026-05-18T02:31:10Z"},{"alias_kind":"pith_short_12","alias_value":"2CKOJ4S57VMQ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2CKOJ4S57VMQDM5W","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2CKOJ4S5","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:1a7373f58c6f269012782404fce383f7a257530254d5147d2212d980d980c7f7","target":"graph","created_at":"2026-05-18T02:31:10Z","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":"Efficient implementations of sets and maps (dictionaries) are important in computer science, and balanced binary search trees are the basis of the best practical implementations. Pedagogically, however, they are often quite complicated, especially with respect to deletion. I present complete code (with justification and analysis not previously available in the literature) for a purely-functional implementation based on AA trees, which is the simplest treatment of the subject of which I am aware.","authors_text":"Canada), Ontario, Prabhakar Ragde (University of Waterloo, Waterloo","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2014-12-16T05:14:44Z","title":"Simple Balanced Binary Search Trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4882","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":"sha256:83affb41304dfb15293eb8b247726ed2a73855c99b361c30a05b750ed232081e","target":"record","created_at":"2026-05-18T02:31:10Z","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":"cea8e7dd1fb3b8616ffcebd525ba841a0f1c23a6875bfb2822a6abc36cf390d6","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2014-12-16T05:14:44Z","title_canon_sha256":"c73b3cdec3f25ed2798bdb79b7802658bcc5da3d16cfa8c7b4ae9b4c65edf320"},"schema_version":"1.0","source":{"id":"1412.4882","kind":"arxiv","version":1}},"canonical_sha256":"d094e4f25dfd5901b3b69e49c238904dcbd9131f85464660e7a97762828eae5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d094e4f25dfd5901b3b69e49c238904dcbd9131f85464660e7a97762828eae5e","first_computed_at":"2026-05-18T02:31:10.216156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:10.216156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NPsF4+aGnPocPqoxvN/KZEO+VI07cwJeleLZg3LeRz60lTwbJViy/lW6Gj9x/RzUYS/+yyDq55WZNDUkbzEsAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:10.216804Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4882","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83affb41304dfb15293eb8b247726ed2a73855c99b361c30a05b750ed232081e","sha256:1a7373f58c6f269012782404fce383f7a257530254d5147d2212d980d980c7f7"],"state_sha256":"37ca377999f38240b4f4bc5d76db8d14bbfc0aec151b2e4b383aef8861b12ae9"}