{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HPU7GROWS7BHYRQ5YRGGBL5BHN","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":"c564b0564910663877396bf1d89254a7728c06a4fe6a48d8a792e7bfc09d21d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-04-20T17:12:03Z","title_canon_sha256":"1fab4d05fbb01c4d2ac592dbb87b1be42cd4dc4858cdf2e30bf2ab6a230d1b47"},"schema_version":"1.0","source":{"id":"1604.06037","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06037","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06037v1","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06037","created_at":"2026-05-18T01:16:33Z"},{"alias_kind":"pith_short_12","alias_value":"HPU7GROWS7BH","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HPU7GROWS7BHYRQ5","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HPU7GROW","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:ddd2b507adf52d8b067a50b3b2e78d6c437f85c82aba11de4513d71f644b5733","target":"graph","created_at":"2026-05-18T01:16:33Z","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":"Pseudo equality algebras were initially introduced by Jenei and $\\rm K\\acute{o}r\\acute{o}di$ as a possible algebraic semantic for fuzzy type theory, and they have been revised by Dvure\\v{c}enskij and Zahiri under the name of JK-algebras. In this paper we define and study the commutative pseudo equality algebras. We give a characterization of commutative pseudo equality algebras and we prove that an invariant pseudo equality algebra is commutative if and only if its corresponding pseudo BCK(pC)-meet-semilattice is commutative. Other results consist of proving that every commutative pseudo equal","authors_text":"Lavinia Corina Ciungu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-04-20T17:12:03Z","title":"Commutative pseudo equality algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06037","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":"sha256:577ce35dd27ac21a10256f652879735296916643952a34ddabd4a467b3630422","target":"record","created_at":"2026-05-18T01:16:33Z","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":"c564b0564910663877396bf1d89254a7728c06a4fe6a48d8a792e7bfc09d21d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-04-20T17:12:03Z","title_canon_sha256":"1fab4d05fbb01c4d2ac592dbb87b1be42cd4dc4858cdf2e30bf2ab6a230d1b47"},"schema_version":"1.0","source":{"id":"1604.06037","kind":"arxiv","version":1}},"canonical_sha256":"3be9f345d697c27c461dc44c60afa13b5e81b22441bebfb8a1eeeaaa979f2633","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3be9f345d697c27c461dc44c60afa13b5e81b22441bebfb8a1eeeaaa979f2633","first_computed_at":"2026-05-18T01:16:33.909604Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:33.909604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WMt25rfH0/Qa/V0zNvbVLhFyPBsobeoGOb33KOZsusIv4gGZB+PoslwaLOCWmg+O/OMkU2xF0JywIymSnBkoCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:33.910543Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06037","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:577ce35dd27ac21a10256f652879735296916643952a34ddabd4a467b3630422","sha256:ddd2b507adf52d8b067a50b3b2e78d6c437f85c82aba11de4513d71f644b5733"],"state_sha256":"8c32643448729cb48c50110e56b4f2ed7999c347f20c71e3431e2ea7c10aed43"}