{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YGE3YE5UTRI4VJFVXFIPNTWAUA","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":"c960a9f4e43af85f1274d4b917e27e50874aeb60aec16efbcb78974a2a88e22d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-10-29T04:17:29Z","title_canon_sha256":"f8e84a5abf0ce1680285c4dadd9fe5cd3b21ea399190a99a9ed4bb01caa82ab7"},"schema_version":"1.0","source":{"id":"1410.7871","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7871","created_at":"2026-05-18T02:39:08Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7871v1","created_at":"2026-05-18T02:39:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7871","created_at":"2026-05-18T02:39:08Z"},{"alias_kind":"pith_short_12","alias_value":"YGE3YE5UTRI4","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YGE3YE5UTRI4VJFV","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YGE3YE5U","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:99371596fe832b1c91663cb1338683817a34b853c038eadc9c33217649fe1a0e","target":"graph","created_at":"2026-05-18T02:39:08Z","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":"In Friedmann, Hansen, and Zwick (2011) we claimed that the expected number of pivoting steps performed by the Random-Facet algorithm of Kalai and of Matousek, Sharir, and Welzl is equal to the expected number of pivoting steps performed by Random-Facet^*, a variant of Random-Facet that bases its random decisions on one random permutation. We then obtained a lower bound on the expected number of pivoting steps performed by Random-Facet^* and claimed that the same lower bound holds also for Random-Facet. Unfortunately, the claim that the expected numbers of steps performed by Random-Facet and Ra","authors_text":"Oliver Friedmann, Thomas Dueholm Hansen, Uri Zwick","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-10-29T04:17:29Z","title":"Errata for: A subexponential lower bound for the Random Facet algorithm for Parity Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7871","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":"sha256:07f1203b43672d5fffd974bb46d4a4963586b63e2ec41dd8c7345deff4c88777","target":"record","created_at":"2026-05-18T02:39:08Z","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":"c960a9f4e43af85f1274d4b917e27e50874aeb60aec16efbcb78974a2a88e22d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2014-10-29T04:17:29Z","title_canon_sha256":"f8e84a5abf0ce1680285c4dadd9fe5cd3b21ea399190a99a9ed4bb01caa82ab7"},"schema_version":"1.0","source":{"id":"1410.7871","kind":"arxiv","version":1}},"canonical_sha256":"c189bc13b49c51caa4b5b950f6cec0a017f21cb7c99dc157233d861380518ad3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c189bc13b49c51caa4b5b950f6cec0a017f21cb7c99dc157233d861380518ad3","first_computed_at":"2026-05-18T02:39:08.005137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:08.005137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GE8kX+/vqE33JpG7G/V6adIx190rAh08hBoZLCgkUh6T2XgrsJfYgkLI1mywq7Z0nCMcJMLzW4BZYnaVx8JqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:08.005626Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.7871","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07f1203b43672d5fffd974bb46d4a4963586b63e2ec41dd8c7345deff4c88777","sha256:99371596fe832b1c91663cb1338683817a34b853c038eadc9c33217649fe1a0e"],"state_sha256":"9e3a9e03b1d13101a3e19a898e1213d6887a85bbe2c9206465d42f3cebece386"}