{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:25XHGOSYAHXUIWQ2YWAQWIQ43C","short_pith_number":"pith:25XHGOSY","schema_version":"1.0","canonical_sha256":"d76e733a5801ef445a1ac5810b221cd89b5a65340ff65f7817360036847bd3eb","source":{"kind":"arxiv","id":"1305.6206","version":1},"attestation_state":"computed","paper":{"title":"Chiron: A Set Theory with Types, Undefinedness, Quotation, and Evaluation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"math.LO","authors_text":"William M. Farmer","submitted_at":"2013-05-27T13:16:56Z","abstract_excerpt":"Chiron is a derivative of von-Neumann-Bernays-G\\\"odel (NBG) set theory that is intended to be a practical, general-purpose logic for mechanizing mathematics. Unlike traditional set theories such as Zermelo-Fraenkel (ZF) and NBG, Chiron is equipped with a type system, lambda notation, and definite and indefinite description. The type system includes a universal type, dependent types, dependent function types, subtypes, and possibly empty types. Unlike traditional logics such as first-order logic and simple type theory, Chiron admits undefined terms that result, for example, from a function appl"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1305.6206","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2013-05-27T13:16:56Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"a8b8d6bfaa9a1211bf2b8b2eb15fe648b5dbacea5f602a0afb71a7a5e7793c11","abstract_canon_sha256":"76c81e838d60ad901774e4da1665aa5f1fe7afe7984600e7d7d6b589dab23517"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:51.933280Z","signature_b64":"uOmPBY6bMIo7lt8TP1mLqvwSc2GfaPRJHtbbvd8HBhXRx3yUrUPL314yzlRbmuxhuDZ8Z/eEqUblvXp8gsnrAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d76e733a5801ef445a1ac5810b221cd89b5a65340ff65f7817360036847bd3eb","last_reissued_at":"2026-05-18T03:24:51.932545Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:51.932545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chiron: A Set Theory with Types, Undefinedness, Quotation, and Evaluation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"math.LO","authors_text":"William M. Farmer","submitted_at":"2013-05-27T13:16:56Z","abstract_excerpt":"Chiron is a derivative of von-Neumann-Bernays-G\\\"odel (NBG) set theory that is intended to be a practical, general-purpose logic for mechanizing mathematics. Unlike traditional set theories such as Zermelo-Fraenkel (ZF) and NBG, Chiron is equipped with a type system, lambda notation, and definite and indefinite description. The type system includes a universal type, dependent types, dependent function types, subtypes, and possibly empty types. Unlike traditional logics such as first-order logic and simple type theory, Chiron admits undefined terms that result, for example, from a function appl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6206","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1305.6206","created_at":"2026-05-18T03:24:51.932669+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.6206v1","created_at":"2026-05-18T03:24:51.932669+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6206","created_at":"2026-05-18T03:24:51.932669+00:00"},{"alias_kind":"pith_short_12","alias_value":"25XHGOSYAHXU","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"25XHGOSYAHXUIWQ2","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"25XHGOSY","created_at":"2026-05-18T12:27:30.460161+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/25XHGOSYAHXUIWQ2YWAQWIQ43C","json":"https://pith.science/pith/25XHGOSYAHXUIWQ2YWAQWIQ43C.json","graph_json":"https://pith.science/api/pith-number/25XHGOSYAHXUIWQ2YWAQWIQ43C/graph.json","events_json":"https://pith.science/api/pith-number/25XHGOSYAHXUIWQ2YWAQWIQ43C/events.json","paper":"https://pith.science/paper/25XHGOSY"},"agent_actions":{"view_html":"https://pith.science/pith/25XHGOSYAHXUIWQ2YWAQWIQ43C","download_json":"https://pith.science/pith/25XHGOSYAHXUIWQ2YWAQWIQ43C.json","view_paper":"https://pith.science/paper/25XHGOSY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.6206&json=true","fetch_graph":"https://pith.science/api/pith-number/25XHGOSYAHXUIWQ2YWAQWIQ43C/graph.json","fetch_events":"https://pith.science/api/pith-number/25XHGOSYAHXUIWQ2YWAQWIQ43C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/25XHGOSYAHXUIWQ2YWAQWIQ43C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/25XHGOSYAHXUIWQ2YWAQWIQ43C/action/storage_attestation","attest_author":"https://pith.science/pith/25XHGOSYAHXUIWQ2YWAQWIQ43C/action/author_attestation","sign_citation":"https://pith.science/pith/25XHGOSYAHXUIWQ2YWAQWIQ43C/action/citation_signature","submit_replication":"https://pith.science/pith/25XHGOSYAHXUIWQ2YWAQWIQ43C/action/replication_record"}},"created_at":"2026-05-18T03:24:51.932669+00:00","updated_at":"2026-05-18T03:24:51.932669+00:00"}