{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:V5TEYMEFRH5XLNR77MR2CXWLMR","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":"7c027c40c61edaa675639981fd3b9211162f3be9bd0e38223f8973ff2670178a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-04-23T11:58:52Z","title_canon_sha256":"d84de07638a183dcc8c7682601754f8c8521f6e24bb406c547cac4df3d663443"},"schema_version":"1.0","source":{"id":"1904.10260","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.10260","created_at":"2026-05-17T23:42:08Z"},{"alias_kind":"arxiv_version","alias_value":"1904.10260v3","created_at":"2026-05-17T23:42:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.10260","created_at":"2026-05-17T23:42:08Z"},{"alias_kind":"pith_short_12","alias_value":"V5TEYMEFRH5X","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"V5TEYMEFRH5XLNR7","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"V5TEYMEF","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:f3d5497e71d3fd8e472ad74d3e962d3d84bdb340a9d5b1b2f61a87debc30a0b2","target":"graph","created_at":"2026-05-17T23:42:08Z","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":"Term modal logics (TML) are modal logics with unboundedly many modalities, with quantification over modal indices, so that we can have formulas of the form $\\exists y. \\forall x. (\\Box_x P(x,y) \\supset\\Diamond_y P(y,x))$. Like First order modal logic, TML is also \"notoriously\" undecidable, in the sense that even very simple fragments are undecidable. In this paper, we show the decidability of one interesting fragment, that of two variable TML. This is in contrast to two-variable First order modal logic, which is undecidable.","authors_text":"Anantha Padmanabha, R. Ramanujam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-04-23T11:58:52Z","title":"Two variable fragment of Term Modal Logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.10260","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":"sha256:5ec4fd58e9386279d37579221cc793be5e69a0043976b9d46f466463d76b0197","target":"record","created_at":"2026-05-17T23:42:08Z","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":"7c027c40c61edaa675639981fd3b9211162f3be9bd0e38223f8973ff2670178a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-04-23T11:58:52Z","title_canon_sha256":"d84de07638a183dcc8c7682601754f8c8521f6e24bb406c547cac4df3d663443"},"schema_version":"1.0","source":{"id":"1904.10260","kind":"arxiv","version":3}},"canonical_sha256":"af664c308589fb75b63ffb23a15ecb64464bd25b98b81fc0da4e9c3f5763a39f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af664c308589fb75b63ffb23a15ecb64464bd25b98b81fc0da4e9c3f5763a39f","first_computed_at":"2026-05-17T23:42:08.040644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:08.040644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rOroepXDpID2/naA2NWI90aiAPViIDTyC/+OdWwnXgsT6b1owZRlmvwXTN259jc3AnxSIwMfTYX0GWUJReb1CQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:08.041293Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.10260","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ec4fd58e9386279d37579221cc793be5e69a0043976b9d46f466463d76b0197","sha256:f3d5497e71d3fd8e472ad74d3e962d3d84bdb340a9d5b1b2f61a87debc30a0b2"],"state_sha256":"af2f667bd0a6b0a9c0c3fa3f7010e954208d7737093942b0416137466da185d3"}