{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:D4RY5OD5CSFOR6ZH4FMARDYVLX","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":"94d03ebcb3458dcc068fb6299f435fd9443ea9aef547de8778e798cccfc6ce7c","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-02-17T16:08:19Z","title_canon_sha256":"afc8130f1df13ffa416a8e5a470ba7a7d5137d52066761122e85ed086e2e2feb"},"schema_version":"1.0","source":{"id":"1102.3615","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3615","created_at":"2026-05-18T03:36:46Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3615v2","created_at":"2026-05-18T03:36:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3615","created_at":"2026-05-18T03:36:46Z"},{"alias_kind":"pith_short_12","alias_value":"D4RY5OD5CSFO","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"D4RY5OD5CSFOR6ZH","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"D4RY5OD5","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:fba1bfdc24babe106dde08543c329d37a19c42a48e83cfdc2dea88a44bc386b8","target":"graph","created_at":"2026-05-18T03:36:46Z","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 nondeterministic strategies in parity games with the aim of computing a most permissive winning strategy. Following earlier work, we measure permissiveness in terms of the average number/weight of transitions blocked by the strategy. Using a translation into mean-payoff parity games, we prove that the problem of computing (the permissiveness of) a most permissive winning strategy is in NP intersected coNP. Along the way, we provide a new study of mean-payoff parity games. In particular, we prove that the opponent player has a memoryless optimal strategy and give a new algorithm for so","authors_text":"J\\\"org Olschewski, Michael Ummels, Nicolas Markey, Patricia Bouyer","cross_cats":["cs.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-02-17T16:08:19Z","title":"Measuring Permissiveness in Parity Games: Mean-Payoff Parity Games Revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3615","kind":"arxiv","version":2},"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:b9ef04cbb64d116e94121c5ed4676a66a5ac84f2fa7fe8af3415a1c52687be60","target":"record","created_at":"2026-05-18T03:36:46Z","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":"94d03ebcb3458dcc068fb6299f435fd9443ea9aef547de8778e798cccfc6ce7c","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-02-17T16:08:19Z","title_canon_sha256":"afc8130f1df13ffa416a8e5a470ba7a7d5137d52066761122e85ed086e2e2feb"},"schema_version":"1.0","source":{"id":"1102.3615","kind":"arxiv","version":2}},"canonical_sha256":"1f238eb87d148ae8fb27e158088f155df68ba19bb1fd6991e113b1841693ba06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f238eb87d148ae8fb27e158088f155df68ba19bb1fd6991e113b1841693ba06","first_computed_at":"2026-05-18T03:36:46.833662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:46.833662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oDLAX9Tkb+Di15TaZnZwH0ntBRoPYDKYZkjlZmzhfDh6FZs5CnS//07E4zOV/BhFqroNubEpGNnAzqoQz7JHAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:46.834329Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.3615","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9ef04cbb64d116e94121c5ed4676a66a5ac84f2fa7fe8af3415a1c52687be60","sha256:fba1bfdc24babe106dde08543c329d37a19c42a48e83cfdc2dea88a44bc386b8"],"state_sha256":"0c01e2b87aea0a9fb0ddbd1087af00e48a1bade7bf2876d953be5b56f380aae1"}