{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:6RH4EQNY2YEMAUOPW2BQHYVQ2M","short_pith_number":"pith:6RH4EQNY","canonical_record":{"source":{"id":"1806.06114","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-06-15T20:16:46Z","cross_cats_sorted":[],"title_canon_sha256":"c902b5853a3a5eed0a69c445ca7f2334be09374c4051919e0ff516623b09ba35","abstract_canon_sha256":"2d1a086cb236a3cedd0e462684606f8b9665f20004a110f442bbe0c5d683f14e"},"schema_version":"1.0"},"canonical_sha256":"f44fc241b8d608c051cfb68303e2b0d323f7022f072fc692618f395cd5254b33","source":{"kind":"arxiv","id":"1806.06114","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06114","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06114v1","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06114","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"pith_short_12","alias_value":"6RH4EQNY2YEM","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6RH4EQNY2YEMAUOP","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6RH4EQNY","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:6RH4EQNY2YEMAUOPW2BQHYVQ2M","target":"record","payload":{"canonical_record":{"source":{"id":"1806.06114","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-06-15T20:16:46Z","cross_cats_sorted":[],"title_canon_sha256":"c902b5853a3a5eed0a69c445ca7f2334be09374c4051919e0ff516623b09ba35","abstract_canon_sha256":"2d1a086cb236a3cedd0e462684606f8b9665f20004a110f442bbe0c5d683f14e"},"schema_version":"1.0"},"canonical_sha256":"f44fc241b8d608c051cfb68303e2b0d323f7022f072fc692618f395cd5254b33","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:03.625284Z","signature_b64":"tQjh3yognRqzS5bY31zWxlOhgL94ARVGtgfrcF6DQ0wWMtX5EEI+t5jDEFGSlULtamvqUdaFwKONXirbYOWXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f44fc241b8d608c051cfb68303e2b0d323f7022f072fc692618f395cd5254b33","last_reissued_at":"2026-05-18T00:13:03.624790Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:03.624790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.06114","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":"2026-05-18T00:13:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jhndi9aWzWCgVUFbSt6mvfz8e1HCIf3PqpoAmtihEko45eL9ufy8zCjMAScJLFPS6+PBliEBcyM83WfTRAITCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:43:56.696235Z"},"content_sha256":"7e88785367e5484797de2630402409d3bbd2d897922251c31953b5e26b6e5177","schema_version":"1.0","event_id":"sha256:7e88785367e5484797de2630402409d3bbd2d897922251c31953b5e26b6e5177"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:6RH4EQNY2YEMAUOPW2BQHYVQ2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Formalizing Category Theory and Presheaf Models of Type Theory in Nuprl","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Mark Bickford","submitted_at":"2018-06-15T20:16:46Z","abstract_excerpt":"This article is the first in a series of articles that explain the formalization of a constructive model of cubical type theory in Nuprl. In this document we discuss only the parts of the formalization that do not depend on the choice of base category. So, it spells out how we make the first steps of our formalization of cubical type theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06114","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":"2026-05-18T00:13:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fJeXKEOQbTaoOMfhUTDCVnqBt/80n6ZLgkL+q3f+nXaa+zUp5f26VEfEfUVeojvWN4WCTyMVfKLLa9Hjam0VDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:43:56.696585Z"},"content_sha256":"4c8e7eb928ead4a9b94337b00b1249ae8acb48b4ca7e982956cc0a262107e42f","schema_version":"1.0","event_id":"sha256:4c8e7eb928ead4a9b94337b00b1249ae8acb48b4ca7e982956cc0a262107e42f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6RH4EQNY2YEMAUOPW2BQHYVQ2M/bundle.json","state_url":"https://pith.science/pith/6RH4EQNY2YEMAUOPW2BQHYVQ2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6RH4EQNY2YEMAUOPW2BQHYVQ2M/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":"2026-06-08T22:43:56Z","links":{"resolver":"https://pith.science/pith/6RH4EQNY2YEMAUOPW2BQHYVQ2M","bundle":"https://pith.science/pith/6RH4EQNY2YEMAUOPW2BQHYVQ2M/bundle.json","state":"https://pith.science/pith/6RH4EQNY2YEMAUOPW2BQHYVQ2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6RH4EQNY2YEMAUOPW2BQHYVQ2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6RH4EQNY2YEMAUOPW2BQHYVQ2M","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":"2d1a086cb236a3cedd0e462684606f8b9665f20004a110f442bbe0c5d683f14e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-06-15T20:16:46Z","title_canon_sha256":"c902b5853a3a5eed0a69c445ca7f2334be09374c4051919e0ff516623b09ba35"},"schema_version":"1.0","source":{"id":"1806.06114","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06114","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06114v1","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06114","created_at":"2026-05-18T00:13:03Z"},{"alias_kind":"pith_short_12","alias_value":"6RH4EQNY2YEM","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6RH4EQNY2YEMAUOP","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6RH4EQNY","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:4c8e7eb928ead4a9b94337b00b1249ae8acb48b4ca7e982956cc0a262107e42f","target":"graph","created_at":"2026-05-18T00:13:03Z","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 article is the first in a series of articles that explain the formalization of a constructive model of cubical type theory in Nuprl. In this document we discuss only the parts of the formalization that do not depend on the choice of base category. So, it spells out how we make the first steps of our formalization of cubical type theory.","authors_text":"Mark Bickford","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-06-15T20:16:46Z","title":"Formalizing Category Theory and Presheaf Models of Type Theory in Nuprl"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06114","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":"sha256:7e88785367e5484797de2630402409d3bbd2d897922251c31953b5e26b6e5177","target":"record","created_at":"2026-05-18T00:13:03Z","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":"2d1a086cb236a3cedd0e462684606f8b9665f20004a110f442bbe0c5d683f14e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-06-15T20:16:46Z","title_canon_sha256":"c902b5853a3a5eed0a69c445ca7f2334be09374c4051919e0ff516623b09ba35"},"schema_version":"1.0","source":{"id":"1806.06114","kind":"arxiv","version":1}},"canonical_sha256":"f44fc241b8d608c051cfb68303e2b0d323f7022f072fc692618f395cd5254b33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f44fc241b8d608c051cfb68303e2b0d323f7022f072fc692618f395cd5254b33","first_computed_at":"2026-05-18T00:13:03.624790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:03.624790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tQjh3yognRqzS5bY31zWxlOhgL94ARVGtgfrcF6DQ0wWMtX5EEI+t5jDEFGSlULtamvqUdaFwKONXirbYOWXAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:03.625284Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.06114","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e88785367e5484797de2630402409d3bbd2d897922251c31953b5e26b6e5177","sha256:4c8e7eb928ead4a9b94337b00b1249ae8acb48b4ca7e982956cc0a262107e42f"],"state_sha256":"63465f101b014299327f96b279e3fdd829412917246024f5348d4ced06cf2811"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JBMrHVjonf+AdRW/s+4EYHrdmoHHdOfAL10xgFi9YELzuiEinsYWy7+y2oaOO5RpNIHSM+VsflJYLKjJ1EUQDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T22:43:56.698541Z","bundle_sha256":"e5c8c1632ad4ab69763a2898e5e42b3248e39db40035ed4e175c7f0e83f6cc47"}}