{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:D2PW4W6Q33HW64RZ256NGZFRSV","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":"e4894e71bc3a59305c24d7687abb5d2a2cc8048f1e977448ef4285e3a731217a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-02-16T02:41:43Z","title_canon_sha256":"516734c9699f59e8b37a1c4d128625854a9ef49a02d18f51da7806da1f722b2d"},"schema_version":"1.0","source":{"id":"1202.3501","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.3501","created_at":"2026-05-18T04:02:12Z"},{"alias_kind":"arxiv_version","alias_value":"1202.3501v1","created_at":"2026-05-18T04:02:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3501","created_at":"2026-05-18T04:02:12Z"},{"alias_kind":"pith_short_12","alias_value":"D2PW4W6Q33HW","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"D2PW4W6Q33HW64RZ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"D2PW4W6Q","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:fda5c5c5ac562467e9776cadc746f176075bae23b664cd7fb02a0c114b4f52c8","target":"graph","created_at":"2026-05-18T04:02:12Z","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 establish syntactic cut-elimination for the one-variable fragment of the modal mu-calculus. Our method is based on a recent cut-elimination technique by Mints that makes use of Buchholz' Omega-rule.","authors_text":"Grigori Mints, Thomas Studer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-02-16T02:41:43Z","title":"Cut-elimination for the mu-calculus with one variable"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3501","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:e0945b30f9ed638f936812cbfecc57bd2ab37004cb4ecf6711ea240ce5390cd6","target":"record","created_at":"2026-05-18T04:02:12Z","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":"e4894e71bc3a59305c24d7687abb5d2a2cc8048f1e977448ef4285e3a731217a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-02-16T02:41:43Z","title_canon_sha256":"516734c9699f59e8b37a1c4d128625854a9ef49a02d18f51da7806da1f722b2d"},"schema_version":"1.0","source":{"id":"1202.3501","kind":"arxiv","version":1}},"canonical_sha256":"1e9f6e5bd0decf6f7239d77cd364b19557f136d78b408a77dd2496642b9b2e77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e9f6e5bd0decf6f7239d77cd364b19557f136d78b408a77dd2496642b9b2e77","first_computed_at":"2026-05-18T04:02:12.973769Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:12.973769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sqaM/41NBOltWjQJNGepNHz4DL8vjAco7J8L7pt9tmDZGYxOLq6sRVh3gNoSrPlYJIx9Nz5hzsvGYmeJuHAOAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:12.974335Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.3501","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0945b30f9ed638f936812cbfecc57bd2ab37004cb4ecf6711ea240ce5390cd6","sha256:fda5c5c5ac562467e9776cadc746f176075bae23b664cd7fb02a0c114b4f52c8"],"state_sha256":"9b723d98179adf3d747de0c947786953a0920b37879f8a571e8c2caf96025dc7"}