{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QR5MVH6J7MKTNB6MELJLHURDNB","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":"d79b51bec701e4c6a888214c3c96a469c1106134963abc828c607eddaa78efb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-01-20T12:11:23Z","title_canon_sha256":"34abde58600f3e22920fa3ed58bc487065d68949adc6bbcc691d4e595fe40350"},"schema_version":"1.0","source":{"id":"1901.06664","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.06664","created_at":"2026-05-17T23:55:49Z"},{"alias_kind":"arxiv_version","alias_value":"1901.06664v1","created_at":"2026-05-17T23:55:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.06664","created_at":"2026-05-17T23:55:49Z"},{"alias_kind":"pith_short_12","alias_value":"QR5MVH6J7MKT","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QR5MVH6J7MKTNB6M","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QR5MVH6J","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:b771c389e464fd229395747a153cdf33bfc64269d454e2e6a71eee43e9979bf3","target":"graph","created_at":"2026-05-17T23:55:49Z","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":"It is known that every relatively pseudocomplemented lattice is residuated and, moreover, it is distributive. Unfortunately, non-distributive lattices with a unary operation satisfying properties similar to relative pseudocomplementation cannot be converted in residuated ones. The aim of our paper is to introduce a more general concept of a relative residuated lattice in such a way that also non-modular sectionally pseudocomplemented lattices are included. We derive several properties of relative residuated lattices which are similar to those known for residuated ones and extend our results to","authors_text":"Helmut L\\\"anger, Ivan Chajda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-01-20T12:11:23Z","title":"Relatively residuated lattices and posets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06664","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:bb530600e11921985f7b859b0c05d4fa144bde80e235e407de11fabe27e47d1e","target":"record","created_at":"2026-05-17T23:55:49Z","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":"d79b51bec701e4c6a888214c3c96a469c1106134963abc828c607eddaa78efb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-01-20T12:11:23Z","title_canon_sha256":"34abde58600f3e22920fa3ed58bc487065d68949adc6bbcc691d4e595fe40350"},"schema_version":"1.0","source":{"id":"1901.06664","kind":"arxiv","version":1}},"canonical_sha256":"847aca9fc9fb153687cc22d2b3d2236874330be93e4e7fbb007f8f303ab7b5bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"847aca9fc9fb153687cc22d2b3d2236874330be93e4e7fbb007f8f303ab7b5bb","first_computed_at":"2026-05-17T23:55:49.530629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:49.530629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q/dKP4aR2X7uxKD6lERkjTB+Q1uujACp0tn1nSjCpOPmK1MTWCEnLGszoO25yiCg+ECfdUNtJBsjF+oP2XTSAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:49.531487Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.06664","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb530600e11921985f7b859b0c05d4fa144bde80e235e407de11fabe27e47d1e","sha256:b771c389e464fd229395747a153cdf33bfc64269d454e2e6a71eee43e9979bf3"],"state_sha256":"782e3b7c1360ec85174fb6b0c11f0247024277174c3b4a436667a7886c25f6f0"}