{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3JX75W4RUCVYO7WOQBLM3OGVH6","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":"49d7cb9b8299a0b15ab68ad92e3a7fed412b910eb875c32ea8bed53a2265dea5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-12-04T14:50:40Z","title_canon_sha256":"ff2e2ea46927e9091ee61f95a2b8a32c753728b624c59db2157cf697e299eafd"},"schema_version":"1.0","source":{"id":"1712.01113","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.01113","created_at":"2026-05-18T00:04:02Z"},{"alias_kind":"arxiv_version","alias_value":"1712.01113v3","created_at":"2026-05-18T00:04:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.01113","created_at":"2026-05-18T00:04:02Z"},{"alias_kind":"pith_short_12","alias_value":"3JX75W4RUCVY","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3JX75W4RUCVYO7WO","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3JX75W4R","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:842354bf0f20d758c81a1efafb901a7b33eed29a197426f63f96565ded3cb1d9","target":"graph","created_at":"2026-05-18T00:04:02Z","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 develop a method to incrementally construct programming languages. Our approach is categorical: each layer of the language is described as a monad. Our method either (i) concretely builds a distributive law between two monads, i.e. layers of the language, which then provides a monad structure to the composition of layers, or (ii) identifies precisely the algebraic obstacles to the existence of a distributive law and gives a best approximant language. The running example will involve three layers: a basic imperative language enriched first by adding non-determinism and then probabilistic cho","authors_text":"Alexandra Silva, Fredrik Dahlqvist, Louis Parlant","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-12-04T14:50:40Z","title":"Layer by layer - Combining Monads"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.01113","kind":"arxiv","version":3},"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":"sha256:0988adce80f70635b6cc0b7f0edf8354a5d91b61f01754b5e55df52a75b1d297","target":"record","created_at":"2026-05-18T00:04:02Z","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":"49d7cb9b8299a0b15ab68ad92e3a7fed412b910eb875c32ea8bed53a2265dea5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-12-04T14:50:40Z","title_canon_sha256":"ff2e2ea46927e9091ee61f95a2b8a32c753728b624c59db2157cf697e299eafd"},"schema_version":"1.0","source":{"id":"1712.01113","kind":"arxiv","version":3}},"canonical_sha256":"da6ffedb91a0ab877ece8056cdb8d53fb7e0c8982d5d3d50d4832d7e8375df1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da6ffedb91a0ab877ece8056cdb8d53fb7e0c8982d5d3d50d4832d7e8375df1e","first_computed_at":"2026-05-18T00:04:02.887015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:02.887015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p5Lo0uX0lJfl/qxe+ZIRZ0Qb1uMeOD0vrfviAKd6Uz9bkZfkhQVRcLcBnGt7ILHQ4GAxdkA4win2MZ79BU1oAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:02.887710Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.01113","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0988adce80f70635b6cc0b7f0edf8354a5d91b61f01754b5e55df52a75b1d297","sha256:842354bf0f20d758c81a1efafb901a7b33eed29a197426f63f96565ded3cb1d9"],"state_sha256":"1ff69fa73119e5966f7fcb0d8ec68f195d0ee6bddf9078f862cc6959d8a5c227"}