{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RYUTPA7VRB4U4YKGDEAL5KGLPY","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":"58497032195923efaa7cc4679f127ea8ff9da3f6bde01a46be8d1d2d0e772aeb","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-04-18T10:52:04Z","title_canon_sha256":"20e17eb8a8b0ba996a740eea124daf7d10525430cf60a808934b7426dc015d16"},"schema_version":"1.0","source":{"id":"1504.04708","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04708","created_at":"2026-05-18T01:36:38Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04708v2","created_at":"2026-05-18T01:36:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04708","created_at":"2026-05-18T01:36:38Z"},{"alias_kind":"pith_short_12","alias_value":"RYUTPA7VRB4U","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RYUTPA7VRB4U4YKG","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RYUTPA7V","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:b6cab93bba0dec5e30b1f1b7ca87adc6087bb5c7d1b96a3f7de9fbc500099931","target":"graph","created_at":"2026-05-18T01:36:38Z","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":"The aim of this study is to understand the inherent expressive power of CTL operators. We investigate the complexity of model checking for all CTL fragments with one CTL operator and arbitrary Boolean operators. This gives us a fingerprint of each CTL operator. The comparison between the fingerprints yields a hierarchy of the operators that mirrors their strength with respect to model checking.","authors_text":"Andreas Krebs, Arne Meier, Martin Mundhenk","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-04-18T10:52:04Z","title":"The model checking fingerprints of CTL operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04708","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:e9f8b5d16c68d0953038d4c0d1a16dc6a82a7938ecd55e9653eb9f57ab514263","target":"record","created_at":"2026-05-18T01:36:38Z","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":"58497032195923efaa7cc4679f127ea8ff9da3f6bde01a46be8d1d2d0e772aeb","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-04-18T10:52:04Z","title_canon_sha256":"20e17eb8a8b0ba996a740eea124daf7d10525430cf60a808934b7426dc015d16"},"schema_version":"1.0","source":{"id":"1504.04708","kind":"arxiv","version":2}},"canonical_sha256":"8e293783f588794e61461900bea8cb7e2154e6e00d3554d5997fed7ad770646c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e293783f588794e61461900bea8cb7e2154e6e00d3554d5997fed7ad770646c","first_computed_at":"2026-05-18T01:36:38.152788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:38.152788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g/tQi/mr8Uq4viVUIhvCtkEZ9jH9VSwq2FaCNbZQ11e6PSlsq/x4KJ5Id8CCrgnFCbTIXLoa/HV+l6qbLR1YCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:38.153484Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.04708","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9f8b5d16c68d0953038d4c0d1a16dc6a82a7938ecd55e9653eb9f57ab514263","sha256:b6cab93bba0dec5e30b1f1b7ca87adc6087bb5c7d1b96a3f7de9fbc500099931"],"state_sha256":"e16a8f98f354c1802691dd291e1fded203b3a2bb3ab5db74e978b3117bef8ba9"}