{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:EIDWV44RBUPHEK3NNQLSY6VZZH","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":"be50b546b4e5f0030c9e9873b3ae073bc3e555b9f8ff12a61343966a38b8ca60","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2023-12-03T13:14:10Z","title_canon_sha256":"e1c079fc6b4b578781f734526fdd3b09531da687bed2fad7e3b8549bdf7adeae"},"schema_version":"1.0","source":{"id":"2312.01383","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.01383","created_at":"2026-07-05T07:19:34Z"},{"alias_kind":"arxiv_version","alias_value":"2312.01383v1","created_at":"2026-07-05T07:19:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.01383","created_at":"2026-07-05T07:19:34Z"},{"alias_kind":"pith_short_12","alias_value":"EIDWV44RBUPH","created_at":"2026-07-05T07:19:34Z"},{"alias_kind":"pith_short_16","alias_value":"EIDWV44RBUPHEK3N","created_at":"2026-07-05T07:19:34Z"},{"alias_kind":"pith_short_8","alias_value":"EIDWV44R","created_at":"2026-07-05T07:19:34Z"}],"graph_snapshots":[{"event_id":"sha256:3c269dec0119440b18e7613375578de6362976d928a6efa3a5d56afd47657da3","target":"graph","created_at":"2026-07-05T07:19:34Z","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/2312.01383/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we further investigate new construction methods for uninorms on bounded lattices via given uninorms. More specifically, we first construct new uninorms on arbitrary bounded lattices by extending a given uninorm on a subinterval of the lattices under necessary and sufficient conditions on the given uninorm. Moreover, based on the new uninorms, we can give another sufficient and necessary condition under which $S_{1}^{*}$ is a $t$-conorm ($T_{1}^{*}$ is a $t$-norm) in \\cite{SS06}. Furthermore, using closure operators (interior operators), we also provide new construction methods f","authors_text":"Xu Zheng, Zhenyu Xiu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2023-12-03T13:14:10Z","title":"Some further construction methods for uninorms via uninorms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.01383","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:f2239057e01cc3f716d149270af2179c3209271715ca68836ce4aafcd5aba285","target":"record","created_at":"2026-07-05T07:19:34Z","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":"be50b546b4e5f0030c9e9873b3ae073bc3e555b9f8ff12a61343966a38b8ca60","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2023-12-03T13:14:10Z","title_canon_sha256":"e1c079fc6b4b578781f734526fdd3b09531da687bed2fad7e3b8549bdf7adeae"},"schema_version":"1.0","source":{"id":"2312.01383","kind":"arxiv","version":1}},"canonical_sha256":"22076af3910d1e722b6d6c172c7ab9c9f1de9ef2eb081ff5890f2433d8fe12c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22076af3910d1e722b6d6c172c7ab9c9f1de9ef2eb081ff5890f2433d8fe12c0","first_computed_at":"2026-07-05T07:19:34.286431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:19:34.286431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SE3SIGGgzm2CQELqAQVv7dAjZ5uBB2OZmSU5qW/1Nj4T7TAKZI5r7n+vkDa2hOFNhxrNz/5iZPGFIXcCW4xmDg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:19:34.287028Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.01383","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2239057e01cc3f716d149270af2179c3209271715ca68836ce4aafcd5aba285","sha256:3c269dec0119440b18e7613375578de6362976d928a6efa3a5d56afd47657da3"],"state_sha256":"d4ea9d1244c792a5741239b8eec08b5f57816d66dca7b1f3a73eeb27f2a0baf0"}