{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RUQGG3JQJS6RTVFGTQ2KNSTNYI","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":"106c70171b26eaedf310034d7a6d6e43631a02b20e15bb22e7435e934c5898a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-08-09T19:06:40Z","title_canon_sha256":"ca3771feec9c4eb36f32c55f2eca17b5357eb1b821f324e43ff9e5a61575a611"},"schema_version":"1.0","source":{"id":"1808.03307","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03307","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03307v1","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03307","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"pith_short_12","alias_value":"RUQGG3JQJS6R","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RUQGG3JQJS6RTVFG","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RUQGG3JQ","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:8fe0cb431394ab6b384f6465199dac276bb6eee273d87c850164b45f9c123b0a","target":"graph","created_at":"2026-05-18T00:08:27Z","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 study the problem of computing a longest increasing subsequence in a sequence $S$ of $n$ distinct elements in the presence of persistent comparison errors. In this model, every comparison between two elements can return the wrong result with some fixed (small) probability $ p $, and comparisons cannot be repeated. Computing the longest increasing subsequence exactly is impossible in this model, therefore, the objective is to identify a subsequence that (i) is indeed increasing and (ii) has a length that approximates the length of the longest increasing subsequence.\n  We present asymptotical","authors_text":"Barbara Geissmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-08-09T19:06:40Z","title":"Longest Increasing Subsequence under Persistent Comparison Errors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03307","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":"sha256:69fc650500217c77ff6c9efdea963dfd0af145a78b9f0d728d342114fc2cff61","target":"record","created_at":"2026-05-18T00:08:27Z","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":"106c70171b26eaedf310034d7a6d6e43631a02b20e15bb22e7435e934c5898a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2018-08-09T19:06:40Z","title_canon_sha256":"ca3771feec9c4eb36f32c55f2eca17b5357eb1b821f324e43ff9e5a61575a611"},"schema_version":"1.0","source":{"id":"1808.03307","kind":"arxiv","version":1}},"canonical_sha256":"8d20636d304cbd19d4a69c34a6ca6dc218e0fb205fa06e6f269248fb71da5cd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d20636d304cbd19d4a69c34a6ca6dc218e0fb205fa06e6f269248fb71da5cd6","first_computed_at":"2026-05-18T00:08:27.685731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:27.685731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bSpx57PD2no9pRb7NgT5UI9qRkGPmXjtKUd3ecKGtYh15Er0jWZxcNoJWjevKUKVYKcoSgsBO/pPPzc8eNMfCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:27.686400Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.03307","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69fc650500217c77ff6c9efdea963dfd0af145a78b9f0d728d342114fc2cff61","sha256:8fe0cb431394ab6b384f6465199dac276bb6eee273d87c850164b45f9c123b0a"],"state_sha256":"4e4db007a2108481753ecc72d745093cc37ca5a863cb22d0d48da93fa1e1ae78"}