{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Y37AR5IQDBD7E3OANJRMELD4CH","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":"df6cf99079b68f272e3aa9ea62a90194cbc85dbd843a2855543ca997f96e8cdf","cross_cats_sorted":["cs.LO","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2018-03-27T14:43:40Z","title_canon_sha256":"7f7d4eefd6f25772e699c22c33e87d536880034b6d11b652da17db9ee0ac994b"},"schema_version":"1.0","source":{"id":"1803.10113","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.10113","created_at":"2026-05-18T00:09:09Z"},{"alias_kind":"arxiv_version","alias_value":"1803.10113v2","created_at":"2026-05-18T00:09:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10113","created_at":"2026-05-18T00:09:09Z"},{"alias_kind":"pith_short_12","alias_value":"Y37AR5IQDBD7","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Y37AR5IQDBD7E3OA","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Y37AR5IQ","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:147f03f0de471ece7cc6749148e8faf5a7c21b23b619d17adeecea4242834d59","target":"graph","created_at":"2026-05-18T00:09:09Z","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 show that Martin Hyland's effective topos can be exhibited as the homotopy category of a path category $\\mathbb{EFF}$. Path categories are categories of fibrant objects in the sense of Brown satisfying two additional properties and as such provide a context in which one can interpret many notions from homotopy theory and Homotopy Type Theory. Within the path category $\\mathbb{EFF}$ one can identify a class of discrete fibrations which is closed under push forward along arbitrary fibrations (in other words, this class is polymorphic or closed under impredicative quantification) and satisfies","authors_text":"Benno van den Berg","cross_cats":["cs.LO","math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2018-03-27T14:43:40Z","title":"Univalent polymorphism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10113","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":"sha256:7794273ea93f7802e5e43b6fb0c44bcc363cb516f33b7a7e5db02ad6770faee4","target":"record","created_at":"2026-05-18T00:09:09Z","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":"df6cf99079b68f272e3aa9ea62a90194cbc85dbd843a2855543ca997f96e8cdf","cross_cats_sorted":["cs.LO","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2018-03-27T14:43:40Z","title_canon_sha256":"7f7d4eefd6f25772e699c22c33e87d536880034b6d11b652da17db9ee0ac994b"},"schema_version":"1.0","source":{"id":"1803.10113","kind":"arxiv","version":2}},"canonical_sha256":"c6fe08f5101847f26dc06a62c22c7c11e0766e4cbfdc0b608cc0e39b471e6755","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6fe08f5101847f26dc06a62c22c7c11e0766e4cbfdc0b608cc0e39b471e6755","first_computed_at":"2026-05-18T00:09:09.447961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:09.447961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ujI9kDqU6L14moil2/wXd1sbLMkTNl/912Dfbcb/MlmmRZxL0D9aYNp2/1BByMelr2CWpHh4KoS6lfQKB2PKBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:09.448729Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.10113","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7794273ea93f7802e5e43b6fb0c44bcc363cb516f33b7a7e5db02ad6770faee4","sha256:147f03f0de471ece7cc6749148e8faf5a7c21b23b619d17adeecea4242834d59"],"state_sha256":"828e2a8a1729669545a76cdb0d528ba88623fecc3b85e7edeb862c4c469f7081"}