{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AJCLF7BGH22K5RGSKKHJAKOK3N","short_pith_number":"pith:AJCLF7BG","canonical_record":{"source":{"id":"1603.08151","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-03-26T22:49:46Z","cross_cats_sorted":["cs.CG","math.CO"],"title_canon_sha256":"e4a01f16b2cf4292ca06d5665ae91b90ae51e4c962b35eea3996ee336cce7c59","abstract_canon_sha256":"0db45b1899e875b96985b9e49c4e441d3e3a7d5bce939010682ccd4b99a0bab5"},"schema_version":"1.0"},"canonical_sha256":"0244b2fc263eb4aec4d2528e9029cadb6c8f2e02ea9d3cfb5651538f8fa219da","source":{"kind":"arxiv","id":"1603.08151","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08151","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08151v1","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08151","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"AJCLF7BGH22K","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AJCLF7BGH22K5RGS","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AJCLF7BG","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AJCLF7BGH22K5RGSKKHJAKOK3N","target":"record","payload":{"canonical_record":{"source":{"id":"1603.08151","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-03-26T22:49:46Z","cross_cats_sorted":["cs.CG","math.CO"],"title_canon_sha256":"e4a01f16b2cf4292ca06d5665ae91b90ae51e4c962b35eea3996ee336cce7c59","abstract_canon_sha256":"0db45b1899e875b96985b9e49c4e441d3e3a7d5bce939010682ccd4b99a0bab5"},"schema_version":"1.0"},"canonical_sha256":"0244b2fc263eb4aec4d2528e9029cadb6c8f2e02ea9d3cfb5651538f8fa219da","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:13.111598Z","signature_b64":"KN/RHCl9y/1C0SFHTphOum7TvnG3gg4yFQ+EBds1A1hrH5iaw6RSfTZvBP6DyJ1vTJJwRnNciScYVPNT17goBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0244b2fc263eb4aec4d2528e9029cadb6c8f2e02ea9d3cfb5651538f8fa219da","last_reissued_at":"2026-05-18T01:18:13.110901Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:13.110901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.08151","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q6rlTDHV9wRIzdAiOgiKzxt95nvToBHPoRnwjLBcnevp+VDE2VgYzQ2nm5sJ8G27GaoloDlFNN7LfbxW0exsBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:41:40.404769Z"},"content_sha256":"db601730dc9520324ffd4d6aaf97359eb08548d2fed345fd2492a1b2ff150aef","schema_version":"1.0","event_id":"sha256:db601730dc9520324ffd4d6aaf97359eb08548d2fed345fd2492a1b2ff150aef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AJCLF7BGH22K5RGSKKHJAKOK3N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Binary search trees and rectangulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG","math.CO"],"primary_cat":"cs.DS","authors_text":"L\\'aszl\\'o Kozma, Thatchaphol Saranurak","submitted_at":"2016-03-26T22:49:46Z","abstract_excerpt":"We revisit the classical problem of searching in a binary search tree (BST) using rotations, and present novel connections of this problem to a number of geometric and combinatorial structures. In particular, we show that the execution trace of a BST that serves a sequence of queries is in close correspondence with the flip-sequence between two rectangulations. (Rectangulations are well-studied combinatorial objects also known as mosaic floorplans.) We also reinterpret Small Manhattan Network, a problem with known connections to the BST problem, in terms of flips in rectangulations. We apply f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08151","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VQNdH1C9mDVuvj5Db8CHoiX96BvKirLTG0Fd0GfRqwWYEk23/AXAq6PQt8UjlfDmyiXvXmKwYb/Exh2HDVEYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:41:40.405122Z"},"content_sha256":"94be7cac4dc99daa5920666d77782e10a4770f5295aa8efaf92aec8fc712b74f","schema_version":"1.0","event_id":"sha256:94be7cac4dc99daa5920666d77782e10a4770f5295aa8efaf92aec8fc712b74f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AJCLF7BGH22K5RGSKKHJAKOK3N/bundle.json","state_url":"https://pith.science/pith/AJCLF7BGH22K5RGSKKHJAKOK3N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AJCLF7BGH22K5RGSKKHJAKOK3N/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T22:41:40Z","links":{"resolver":"https://pith.science/pith/AJCLF7BGH22K5RGSKKHJAKOK3N","bundle":"https://pith.science/pith/AJCLF7BGH22K5RGSKKHJAKOK3N/bundle.json","state":"https://pith.science/pith/AJCLF7BGH22K5RGSKKHJAKOK3N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AJCLF7BGH22K5RGSKKHJAKOK3N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AJCLF7BGH22K5RGSKKHJAKOK3N","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":"0db45b1899e875b96985b9e49c4e441d3e3a7d5bce939010682ccd4b99a0bab5","cross_cats_sorted":["cs.CG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-03-26T22:49:46Z","title_canon_sha256":"e4a01f16b2cf4292ca06d5665ae91b90ae51e4c962b35eea3996ee336cce7c59"},"schema_version":"1.0","source":{"id":"1603.08151","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08151","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08151v1","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08151","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"AJCLF7BGH22K","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AJCLF7BGH22K5RGS","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AJCLF7BG","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:94be7cac4dc99daa5920666d77782e10a4770f5295aa8efaf92aec8fc712b74f","target":"graph","created_at":"2026-05-18T01:18:13Z","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 revisit the classical problem of searching in a binary search tree (BST) using rotations, and present novel connections of this problem to a number of geometric and combinatorial structures. In particular, we show that the execution trace of a BST that serves a sequence of queries is in close correspondence with the flip-sequence between two rectangulations. (Rectangulations are well-studied combinatorial objects also known as mosaic floorplans.) We also reinterpret Small Manhattan Network, a problem with known connections to the BST problem, in terms of flips in rectangulations. We apply f","authors_text":"L\\'aszl\\'o Kozma, Thatchaphol Saranurak","cross_cats":["cs.CG","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-03-26T22:49:46Z","title":"Binary search trees and rectangulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08151","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:db601730dc9520324ffd4d6aaf97359eb08548d2fed345fd2492a1b2ff150aef","target":"record","created_at":"2026-05-18T01:18:13Z","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":"0db45b1899e875b96985b9e49c4e441d3e3a7d5bce939010682ccd4b99a0bab5","cross_cats_sorted":["cs.CG","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-03-26T22:49:46Z","title_canon_sha256":"e4a01f16b2cf4292ca06d5665ae91b90ae51e4c962b35eea3996ee336cce7c59"},"schema_version":"1.0","source":{"id":"1603.08151","kind":"arxiv","version":1}},"canonical_sha256":"0244b2fc263eb4aec4d2528e9029cadb6c8f2e02ea9d3cfb5651538f8fa219da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0244b2fc263eb4aec4d2528e9029cadb6c8f2e02ea9d3cfb5651538f8fa219da","first_computed_at":"2026-05-18T01:18:13.110901Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:13.110901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KN/RHCl9y/1C0SFHTphOum7TvnG3gg4yFQ+EBds1A1hrH5iaw6RSfTZvBP6DyJ1vTJJwRnNciScYVPNT17goBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:13.111598Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.08151","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db601730dc9520324ffd4d6aaf97359eb08548d2fed345fd2492a1b2ff150aef","sha256:94be7cac4dc99daa5920666d77782e10a4770f5295aa8efaf92aec8fc712b74f"],"state_sha256":"a2814c240f259817a22375c27e002a069352f54878f9ac77e9c8fc73cc3fdc9e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2D49UW0ENqnlfyiJzhcsbQLqWXdS4j5mkkiIniUCfkjpdrEUNFJH2k5i2bj9BmyeXplRUkJZPJomjy4lf+BXDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T22:41:40.407188Z","bundle_sha256":"d60ca97438d912bda5f176f533036cbc91ee759141b4f3b9961eea4407f5e728"}}