{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MR7VOINN4XEES7SQNBWQWADVJ5","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":"2bbe0a13b42832f5284a092c381012e7ded09c995b1f6152089f8cc528e47c1b","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-25T20:25:51Z","title_canon_sha256":"1749c7d32fcfa3ecab7c60571030393504b23669916977a39517ba4248dafdd0"},"schema_version":"1.0","source":{"id":"1406.6706","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6706","created_at":"2026-05-18T00:55:34Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6706v4","created_at":"2026-05-18T00:55:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6706","created_at":"2026-05-18T00:55:34Z"},{"alias_kind":"pith_short_12","alias_value":"MR7VOINN4XEE","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MR7VOINN4XEES7SQ","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MR7VOINN","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:80d57da3aba753ee700f0dff13d3b87e5285027f9fd27f360c90abce952a996d","target":"graph","created_at":"2026-05-18T00:55:34Z","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":"This paper presents a version of simple type theory called ${\\cal Q}^{\\rm uqe}_{0}$ that is based on ${\\cal Q}_0$, the elegant formulation of Church's type theory created and extensively studied by Peter B. Andrews. ${\\cal Q}^{\\rm uqe}_{0}$ directly formalizes the traditional approach to undefinedness in which undefined expressions are treated as legitimate, nondenoting expressions that can be components of meaningful statements. ${\\cal Q}^{\\rm uqe}_{0}$ is also equipped with a facility for reasoning about the syntax of expressions based on quotation and evaluation. Quotation is used to refer ","authors_text":"William M. Farmer","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-25T20:25:51Z","title":"Simple Type Theory with Undefinedness, Quotation, and Evaluation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6706","kind":"arxiv","version":4},"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":"sha256:42c7a5169d7f23aa8fe70af29de94806506c12a5ca23a68207156259791c07ac","target":"record","created_at":"2026-05-18T00:55:34Z","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":"2bbe0a13b42832f5284a092c381012e7ded09c995b1f6152089f8cc528e47c1b","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-25T20:25:51Z","title_canon_sha256":"1749c7d32fcfa3ecab7c60571030393504b23669916977a39517ba4248dafdd0"},"schema_version":"1.0","source":{"id":"1406.6706","kind":"arxiv","version":4}},"canonical_sha256":"647f5721ade5c8497e50686d0b00754f42df0b355ea52e718124ef684d8bfcb5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"647f5721ade5c8497e50686d0b00754f42df0b355ea52e718124ef684d8bfcb5","first_computed_at":"2026-05-18T00:55:34.559120Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:34.559120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L7Jj31SfMV2yAk6+GKhM79LJHDWi1v22XsxYXkCuVUYhNlGRSyhOtF6y8KPXN8nRvtzcZtqWrGXj1m0xwgw7AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:34.559556Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.6706","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42c7a5169d7f23aa8fe70af29de94806506c12a5ca23a68207156259791c07ac","sha256:80d57da3aba753ee700f0dff13d3b87e5285027f9fd27f360c90abce952a996d"],"state_sha256":"7d0e26d6e0516da6f7d36d46554d7794e09c520d10158bf862155da7170779c8"}