{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RNNX6IJLTG5YZTSAHRWTMLRHYD","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":"fa538527946fd7cf62d04c487fc893f49a81acf823f7e820f94b91940205b1f0","cross_cats_sorted":["cs.LO","cs.SC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2023-06-27T10:47:22Z","title_canon_sha256":"78feb209ee6a28da78468b66ad46360843aad7fd69466e4ada96a62a192016cb"},"schema_version":"1.0","source":{"id":"2306.15375","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.15375","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"arxiv_version","alias_value":"2306.15375v2","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.15375","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"pith_short_12","alias_value":"RNNX6IJLTG5Y","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"pith_short_16","alias_value":"RNNX6IJLTG5YZTSA","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"pith_short_8","alias_value":"RNNX6IJL","created_at":"2026-07-05T11:39:01Z"}],"graph_snapshots":[{"event_id":"sha256:86b217ebf102aef2acc9534bcf7079c2cf4cd6bb55ba5e5e4cba6853d322d718","target":"graph","created_at":"2026-07-05T11:39:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2306.15375/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a new design for an algebraic simplification library structured around concepts from universal algebra: theories, models, homomorphisms, and universal properties of free algebras and free extensions of algebras. The library's dependently typed interface guarantees that both built-in and user-defined simplification modules are terminating, sound, and complete with respect to a well-specified class of equations. We have implemented the design in the Idris 2 and Agda dependently typed programming languages and shown that it supports modular extension to new theories, proof extraction a","authors_text":"Edwin Brady, Guillaume Allais, Jeremy Yallop, Nathan Corbyn, Ohad Kammar","cross_cats":["cs.LO","cs.SC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2023-06-27T10:47:22Z","title":"Frex: dependently-typed algebraic simplification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.15375","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":"sha256:38887d8a2e045c24a8102b28553280a180e81172057df1bd7b2f3ce9f13bc90c","target":"record","created_at":"2026-07-05T11:39:01Z","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":"fa538527946fd7cf62d04c487fc893f49a81acf823f7e820f94b91940205b1f0","cross_cats_sorted":["cs.LO","cs.SC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2023-06-27T10:47:22Z","title_canon_sha256":"78feb209ee6a28da78468b66ad46360843aad7fd69466e4ada96a62a192016cb"},"schema_version":"1.0","source":{"id":"2306.15375","kind":"arxiv","version":2}},"canonical_sha256":"8b5b7f212b99bb8cce403c6d362e27c0c950c42db0c0979ae0218c541e2c534a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b5b7f212b99bb8cce403c6d362e27c0c950c42db0c0979ae0218c541e2c534a","first_computed_at":"2026-07-05T11:39:01.067597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:39:01.067597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"leOO3Vga0bqhis/L+eEtItMQV7l2nUO8epgXxl0Ty3qew96UKRHhWAT7ZqKd/VDkkPKuAa70KNTZJFFP6rbMCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:39:01.068102Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.15375","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38887d8a2e045c24a8102b28553280a180e81172057df1bd7b2f3ce9f13bc90c","sha256:86b217ebf102aef2acc9534bcf7079c2cf4cd6bb55ba5e5e4cba6853d322d718"],"state_sha256":"54b4b3984d44dbf68b9b68a8ddaa3f567ac00b4696973c8f0aed9b90020652e7"}