{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:M6LZMORPLKILO5LNP74OTIBERV","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":"9ebe8d33e3a617373fb6861fd3ab9bda5e0fb39117ed7392d671023bf14b7880","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-08-01T18:08:19Z","title_canon_sha256":"197f899a87609b2d5b39ca270ffaa8c3ed4d8d6c9583cb7f4fac064867a9e627"},"schema_version":"1.0","source":{"id":"1908.00563","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.00563","created_at":"2026-07-04T23:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1908.00563v1","created_at":"2026-07-04T23:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.00563","created_at":"2026-07-04T23:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"M6LZMORPLKIL","created_at":"2026-07-04T23:51:06Z"},{"alias_kind":"pith_short_16","alias_value":"M6LZMORPLKILO5LN","created_at":"2026-07-04T23:51:06Z"},{"alias_kind":"pith_short_8","alias_value":"M6LZMORP","created_at":"2026-07-04T23:51:06Z"}],"graph_snapshots":[{"event_id":"sha256:7c3f1a33d20a96c804d494b135c2ba8bc2d0ac6bf907b2471d7f96bc19ac5584","target":"graph","created_at":"2026-07-04T23:51:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.00563/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a separation between offline and online algorithms for finger-based tournament heaps undergoing key modifications. These heaps are implemented by binary trees with keys stored on leaves, and intermediate nodes tracking the min of their respective subtrees. They represent a natural starting point for studying self-adjusting heaps due to the need to access the root-to-leaf path upon modifications. We combine previous studies on the competitive ratios of unordered binary search trees by [Fredman WADS2011] and on order-by-next request by [Mart\\'inez-Roura TCS2000] and [Munro ESA2000] to s","authors_text":"J. Ian Munro, Lingyi Zhang, Richard Peng, Sebastian Wild","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-08-01T18:08:19Z","title":"Dynamic Optimality Refuted -- For Tournament Heaps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.00563","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:ed5436370c05868a15d9e99b2dbaec2420d088b629373d20c4d537ea564946e1","target":"record","created_at":"2026-07-04T23:51:06Z","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":"9ebe8d33e3a617373fb6861fd3ab9bda5e0fb39117ed7392d671023bf14b7880","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2019-08-01T18:08:19Z","title_canon_sha256":"197f899a87609b2d5b39ca270ffaa8c3ed4d8d6c9583cb7f4fac064867a9e627"},"schema_version":"1.0","source":{"id":"1908.00563","kind":"arxiv","version":1}},"canonical_sha256":"6797963a2f5a90b7756d7ff8e9a0248d7669852c9ea5b773985b8ef2c405b166","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6797963a2f5a90b7756d7ff8e9a0248d7669852c9ea5b773985b8ef2c405b166","first_computed_at":"2026-07-04T23:51:06.509566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:51:06.509566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qklqUXakHKUOm/KNWdvj8o4Av/UwZVzCZYMsiOgarTBGLE3lZ2lN+QVe4GSXOezauZNWqFdT7yEx1XzO6UxPBw==","signature_status":"signed_v1","signed_at":"2026-07-04T23:51:06.510076Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.00563","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed5436370c05868a15d9e99b2dbaec2420d088b629373d20c4d537ea564946e1","sha256:7c3f1a33d20a96c804d494b135c2ba8bc2d0ac6bf907b2471d7f96bc19ac5584"],"state_sha256":"fef3f2ce195bcacf53c4d48eb10d98167a2790379ed788f337e28df9505a5508"}