{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UF64IKMJXXPRCEPRANI3X4SQS4","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":"8561b80d94004f72f289d542312b7cc21b5fecea8d6fda8f5008876e45f0092e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-07-05T10:45:41Z","title_canon_sha256":"f5f087cbf5f78d11ef9c5a3d21fd6e1ca88e6a9fc4ec71bfc30a2098e78adce2"},"schema_version":"1.0","source":{"id":"1407.1386","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.1386","created_at":"2026-05-18T01:35:20Z"},{"alias_kind":"arxiv_version","alias_value":"1407.1386v3","created_at":"2026-05-18T01:35:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1386","created_at":"2026-05-18T01:35:20Z"},{"alias_kind":"pith_short_12","alias_value":"UF64IKMJXXPR","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UF64IKMJXXPRCEPR","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UF64IKMJ","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:86b1ed34ed749134164f47cf734cd46a5ebbeda32da029e6e00c6691e3531feb","target":"graph","created_at":"2026-05-18T01:35:20Z","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":"First-order temporal logics are notorious for their bad computational behaviour. It is known that even the two-variable monadic fragment is highly undecidable over various linear timelines, and over branching time even one-variable fragments might be undecidable. However, there have been several attempts on finding well-behaved fragments of first-order temporal logics and related temporal description logics, mostly either by restricting the available quantifier patterns, or considering sub-Boolean languages. Here we analyse seemingly `mild' extensions of decidable one-variable fragments with c","authors_text":"Agi Kurucz, Christopher Hampson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-07-05T10:45:41Z","title":"Undecidable propositional bimodal logics and one-variable first-order linear temporal logics with counting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1386","kind":"arxiv","version":3},"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":"sha256:570d6e65cf094cf87444393d2360e47195fa22e5d9b3e906cecca7bbc6d55d5c","target":"record","created_at":"2026-05-18T01:35:20Z","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":"8561b80d94004f72f289d542312b7cc21b5fecea8d6fda8f5008876e45f0092e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-07-05T10:45:41Z","title_canon_sha256":"f5f087cbf5f78d11ef9c5a3d21fd6e1ca88e6a9fc4ec71bfc30a2098e78adce2"},"schema_version":"1.0","source":{"id":"1407.1386","kind":"arxiv","version":3}},"canonical_sha256":"a17dc42989bddf1111f10351bbf250972a4a2e6c554f2728ebdde8f34d5176c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a17dc42989bddf1111f10351bbf250972a4a2e6c554f2728ebdde8f34d5176c2","first_computed_at":"2026-05-18T01:35:20.688394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:20.688394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e8X2pyXuNWZlVZHuKpKq41T4r/wYpkjTnOrLN/0WGsPS/CSvlcAPlPpg0XrBib2SYiUQfn01AXlK7NgDLtJaAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:20.689130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.1386","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:570d6e65cf094cf87444393d2360e47195fa22e5d9b3e906cecca7bbc6d55d5c","sha256:86b1ed34ed749134164f47cf734cd46a5ebbeda32da029e6e00c6691e3531feb"],"state_sha256":"326a73f2e6056f06a96623079bdb62944e73d34e4534db1972c4dd4b7cc786d9"}