{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:D5N2JG2NIO4KSNKGCNG5LONIZN","short_pith_number":"pith:D5N2JG2N","canonical_record":{"source":{"id":"1809.03254","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-09-10T12:01:13Z","cross_cats_sorted":[],"title_canon_sha256":"d680182b4ad08b690cad8efaa9028ff252fe1000b82990ab9b380a146cdf941a","abstract_canon_sha256":"34d141577e62064d1720e5069a3d258f89137454c8a0e7dabfe09c388eb5cbdb"},"schema_version":"1.0"},"canonical_sha256":"1f5ba49b4d43b8a93546134dd5b9a8cb54c446208808aa9a0ba8813d918fda83","source":{"kind":"arxiv","id":"1809.03254","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03254","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03254v1","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03254","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"pith_short_12","alias_value":"D5N2JG2NIO4K","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D5N2JG2NIO4KSNKG","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D5N2JG2N","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:D5N2JG2NIO4KSNKGCNG5LONIZN","target":"record","payload":{"canonical_record":{"source":{"id":"1809.03254","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-09-10T12:01:13Z","cross_cats_sorted":[],"title_canon_sha256":"d680182b4ad08b690cad8efaa9028ff252fe1000b82990ab9b380a146cdf941a","abstract_canon_sha256":"34d141577e62064d1720e5069a3d258f89137454c8a0e7dabfe09c388eb5cbdb"},"schema_version":"1.0"},"canonical_sha256":"1f5ba49b4d43b8a93546134dd5b9a8cb54c446208808aa9a0ba8813d918fda83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:09.487313Z","signature_b64":"wCvjBY+2FY+7zAIAcp/DQiXOGy196NAFXJdAw24bIN7o5PmV1ho9bP/oglnMa0S7QcbV+k3Wjs70s/cOn3B1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f5ba49b4d43b8a93546134dd5b9a8cb54c446208808aa9a0ba8813d918fda83","last_reissued_at":"2026-05-18T00:06:09.486544Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:09.486544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.03254","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:06:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FqQJESCwsM/y5UchqpKNEClmlFBBxTEvPuEYk3rlNEtZ+Kiq1oWv+PvpMkDpgy/s5pcU/OuiLu5s+ifeH1zMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:13:36.073119Z"},"content_sha256":"9949c47c2b9a62830953a1e24d3058bead1d1dc50d976f4ae5000ee71e018cb6","schema_version":"1.0","event_id":"sha256:9949c47c2b9a62830953a1e24d3058bead1d1dc50d976f4ae5000ee71e018cb6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:D5N2JG2NIO4KSNKGCNG5LONIZN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Elementary Multimodal Logics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Jakub Michaliszyn","submitted_at":"2018-09-10T12:01:13Z","abstract_excerpt":"We study multimodal logics over universally first-order definable classes of frames. We show that even for bimodal logics, there are universal Horn formulas that define set of frames such that the satisfiability problem is undecidable, even if one or two of the binary relations are transitive."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03254","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:06:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QBFRbGdZSFiFx8M6jcGx4KrazVkOwBQCF9GRpZBNy7SSpULgCTkF8xjAETK2+kVcTMhQ5v8a9+l2K0De4txMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:13:36.073469Z"},"content_sha256":"9ca6444abf983422e7950ee59d8f258dbddc23314aa367a1949de8fd15d4e43f","schema_version":"1.0","event_id":"sha256:9ca6444abf983422e7950ee59d8f258dbddc23314aa367a1949de8fd15d4e43f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D5N2JG2NIO4KSNKGCNG5LONIZN/bundle.json","state_url":"https://pith.science/pith/D5N2JG2NIO4KSNKGCNG5LONIZN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D5N2JG2NIO4KSNKGCNG5LONIZN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-23T18:13:36Z","links":{"resolver":"https://pith.science/pith/D5N2JG2NIO4KSNKGCNG5LONIZN","bundle":"https://pith.science/pith/D5N2JG2NIO4KSNKGCNG5LONIZN/bundle.json","state":"https://pith.science/pith/D5N2JG2NIO4KSNKGCNG5LONIZN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D5N2JG2NIO4KSNKGCNG5LONIZN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:D5N2JG2NIO4KSNKGCNG5LONIZN","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":"34d141577e62064d1720e5069a3d258f89137454c8a0e7dabfe09c388eb5cbdb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-09-10T12:01:13Z","title_canon_sha256":"d680182b4ad08b690cad8efaa9028ff252fe1000b82990ab9b380a146cdf941a"},"schema_version":"1.0","source":{"id":"1809.03254","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03254","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03254v1","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03254","created_at":"2026-05-18T00:06:09Z"},{"alias_kind":"pith_short_12","alias_value":"D5N2JG2NIO4K","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D5N2JG2NIO4KSNKG","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D5N2JG2N","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:9ca6444abf983422e7950ee59d8f258dbddc23314aa367a1949de8fd15d4e43f","target":"graph","created_at":"2026-05-18T00:06:09Z","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 study multimodal logics over universally first-order definable classes of frames. We show that even for bimodal logics, there are universal Horn formulas that define set of frames such that the satisfiability problem is undecidable, even if one or two of the binary relations are transitive.","authors_text":"Jakub Michaliszyn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-09-10T12:01:13Z","title":"Elementary Multimodal Logics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03254","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":"sha256:9949c47c2b9a62830953a1e24d3058bead1d1dc50d976f4ae5000ee71e018cb6","target":"record","created_at":"2026-05-18T00:06:09Z","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":"34d141577e62064d1720e5069a3d258f89137454c8a0e7dabfe09c388eb5cbdb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-09-10T12:01:13Z","title_canon_sha256":"d680182b4ad08b690cad8efaa9028ff252fe1000b82990ab9b380a146cdf941a"},"schema_version":"1.0","source":{"id":"1809.03254","kind":"arxiv","version":1}},"canonical_sha256":"1f5ba49b4d43b8a93546134dd5b9a8cb54c446208808aa9a0ba8813d918fda83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f5ba49b4d43b8a93546134dd5b9a8cb54c446208808aa9a0ba8813d918fda83","first_computed_at":"2026-05-18T00:06:09.486544Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:09.486544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wCvjBY+2FY+7zAIAcp/DQiXOGy196NAFXJdAw24bIN7o5PmV1ho9bP/oglnMa0S7QcbV+k3Wjs70s/cOn3B1Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:09.487313Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.03254","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9949c47c2b9a62830953a1e24d3058bead1d1dc50d976f4ae5000ee71e018cb6","sha256:9ca6444abf983422e7950ee59d8f258dbddc23314aa367a1949de8fd15d4e43f"],"state_sha256":"6f46d5b6dda2440165f1af713e4fffe05bf7e5acbd9ed843351b28f629458e6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mH0bBc/o9eO89G/XH/Wtztr8U95+uk+I2ciYagn0xnUryJwGzVnX+XysdaUhN7zp+RhITNySxc9C+DY2b9OGAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T18:13:36.075257Z","bundle_sha256":"36c66f9745f60e243aeb0acc80ec46256db2acc397677dba27f98a6f467a7969"}}