{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FALVINY3GTAAHQ5JBNJ2SQVY3W","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":"08469f58564ce72afcc8568b092ab294e46a08c937fc2a5f20a9d22d79a74fee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-05-03T20:44:24Z","title_canon_sha256":"498a97d2beee93c3c7b49b447071e00137bcd86915806e197324647cbdb62c81"},"schema_version":"1.0","source":{"id":"1605.01083","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01083","created_at":"2026-05-17T23:51:23Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01083v2","created_at":"2026-05-17T23:51:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01083","created_at":"2026-05-17T23:51:23Z"},{"alias_kind":"pith_short_12","alias_value":"FALVINY3GTAA","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FALVINY3GTAAHQ5J","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FALVINY3","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:73dd41d29cc28ec77ee949f3242605577377f0c930b40e6072cf15c9cf8f42d3","target":"graph","created_at":"2026-05-17T23:51:23Z","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 propose a new bi-intuitionistic type theory called Dualized Type Theory (DTT). It is a simple type theory with perfect intuitionistic duality, and corresponds to a single-sided polarized sequent calculus. We prove DTT strongly normalizing, and prove type preservation. DTT is based on a new propositional bi-intuitionistic logic called Dualized Intuitionistic Logic (DIL) that builds on Pinto and Uustalu's logic L. DIL is a simplification of L by removing several admissible inference rules while maintaining consistency and completeness. Furthermore, DIL is defined using a dualized syntax by la","authors_text":"Aaron Stump, Harley Eades III, Ryan McCleeary","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-05-03T20:44:24Z","title":"Dualized Simple Type Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01083","kind":"arxiv","version":2},"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":"sha256:4fd66cd606e2e0a4dd59d297a61a75e99da7fe72a0ff0006ccd5a4f7f805dc8e","target":"record","created_at":"2026-05-17T23:51:23Z","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":"08469f58564ce72afcc8568b092ab294e46a08c937fc2a5f20a9d22d79a74fee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-05-03T20:44:24Z","title_canon_sha256":"498a97d2beee93c3c7b49b447071e00137bcd86915806e197324647cbdb62c81"},"schema_version":"1.0","source":{"id":"1605.01083","kind":"arxiv","version":2}},"canonical_sha256":"281754371b34c003c3a90b53a942b8dda08e8be4acbbdbe5d9f895d65218d15d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"281754371b34c003c3a90b53a942b8dda08e8be4acbbdbe5d9f895d65218d15d","first_computed_at":"2026-05-17T23:51:23.741441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:23.741441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t2TO3/TQHs5JmMVlM+0wE3BsoPDfqIsWYvBvrU/BMBGWFAYPH6NSsWSkYhKAz3qWyPPlMhxdRVis4pcm8zieDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:23.741900Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01083","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fd66cd606e2e0a4dd59d297a61a75e99da7fe72a0ff0006ccd5a4f7f805dc8e","sha256:73dd41d29cc28ec77ee949f3242605577377f0c930b40e6072cf15c9cf8f42d3"],"state_sha256":"c87f2b711dd3080095a4077a08fbea379fd7bb11b5aa47bc9fdbaf81baf886c5"}