{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZWZMOEWFYCZNDODTGGIWOTQREX","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":"98a51bcf18a158b7d460266c51222ca81b41125d3e30f4b278d24a61ea00b770","cross_cats_sorted":["cs.CC","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-08-31T15:19:06Z","title_canon_sha256":"84b4031da9781b7d73e8eab60eb9385d1be1f9adbc94c89e251eba869ede8928"},"schema_version":"1.0","source":{"id":"1108.6261","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.6261","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"arxiv_version","alias_value":"1108.6261v2","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.6261","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"pith_short_12","alias_value":"ZWZMOEWFYCZN","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZWZMOEWFYCZNDODT","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZWZMOEWF","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:1c8a2996b98b550d2b55af5062804da7a41e8ccdb90198c8b731d58aaf179522","target":"graph","created_at":"2026-05-18T03:25:16Z","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 investigate the computational complexity of admissibility of inference rules in infinite-valued {\\L}ukasiewicz propositional logic (\\L). It was shown in [13] that admissibility in {\\L} is checkable in PSPACE. We establish that this result is optimal, i.e., admissible rules of {\\L} are PSPACE-complete. In contrast, derivable rules of {\\L} are known to be coNP-complete.","authors_text":"Emil Je\\v{r}\\'abek","cross_cats":["cs.CC","math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-08-31T15:19:06Z","title":"The complexity of admissible rules of {\\L}ukasiewicz logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.6261","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:b2454871907a0b08f5a6de5c734f4c93e1144ac306c3d7dea57ad099942de28d","target":"record","created_at":"2026-05-18T03:25:16Z","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":"98a51bcf18a158b7d460266c51222ca81b41125d3e30f4b278d24a61ea00b770","cross_cats_sorted":["cs.CC","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-08-31T15:19:06Z","title_canon_sha256":"84b4031da9781b7d73e8eab60eb9385d1be1f9adbc94c89e251eba869ede8928"},"schema_version":"1.0","source":{"id":"1108.6261","kind":"arxiv","version":2}},"canonical_sha256":"cdb2c712c5c0b2d1b8733191674e1125ee4cbfa87f1b3e026d309476a9a72672","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cdb2c712c5c0b2d1b8733191674e1125ee4cbfa87f1b3e026d309476a9a72672","first_computed_at":"2026-05-18T03:25:16.397403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:16.397403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0i2uJZLFuOMVoJ74QZ31Qu67xtFA3852pkSr5dXTZ2P9UxBvKKuLdEz38Li6kcTd5K9DuVersZkLcHcQaZZDDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:16.398064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.6261","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2454871907a0b08f5a6de5c734f4c93e1144ac306c3d7dea57ad099942de28d","sha256:1c8a2996b98b550d2b55af5062804da7a41e8ccdb90198c8b731d58aaf179522"],"state_sha256":"e2b5b71cbfad041a734cceb57445be4f586cb4365ad8f7e691172608a10855bd"}