{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UESOERLF7GAFAG67EZ5JHRPSI2","short_pith_number":"pith:UESOERLF","canonical_record":{"source":{"id":"1901.06191","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-01-18T11:38:30Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"cc28605264b976cd2c2056e5ec273681c7c74f351bbde6ed7f4e309518c13820","abstract_canon_sha256":"d1050ebc847665ec4bc058f1d8920a44b39c92d3b353623caf5708d666bc6ce9"},"schema_version":"1.0"},"canonical_sha256":"a124e24565f980501bdf267a93c5f24687ed77f63ddecf1f22a88b172a1ae9c2","source":{"kind":"arxiv","id":"1901.06191","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.06191","created_at":"2026-05-17T23:56:04Z"},{"alias_kind":"arxiv_version","alias_value":"1901.06191v1","created_at":"2026-05-17T23:56:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.06191","created_at":"2026-05-17T23:56:04Z"},{"alias_kind":"pith_short_12","alias_value":"UESOERLF7GAF","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UESOERLF7GAFAG67","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UESOERLF","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UESOERLF7GAFAG67EZ5JHRPSI2","target":"record","payload":{"canonical_record":{"source":{"id":"1901.06191","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-01-18T11:38:30Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"cc28605264b976cd2c2056e5ec273681c7c74f351bbde6ed7f4e309518c13820","abstract_canon_sha256":"d1050ebc847665ec4bc058f1d8920a44b39c92d3b353623caf5708d666bc6ce9"},"schema_version":"1.0"},"canonical_sha256":"a124e24565f980501bdf267a93c5f24687ed77f63ddecf1f22a88b172a1ae9c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:04.289080Z","signature_b64":"NStHXpl1LcWHGRR6QAT+7RVUEwClKyhtiGHOfRKeFBdDemCATo/2Vugn7iK1BEYY0LPc95S2ufEZRCgBJUJJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a124e24565f980501bdf267a93c5f24687ed77f63ddecf1f22a88b172a1ae9c2","last_reissued_at":"2026-05-17T23:56:04.288477Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:04.288477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.06191","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5TwtD94q+QTsOba9NJhS3PA78XFUzv+Y3o6DBm7Bmu2lVUdr/xXdJZnWQbzrBMQA9L9QJx/lCZZUoHuldecdCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T23:42:01.849808Z"},"content_sha256":"fda17b46e292d842d5e02ca60d3643d67ded89c858882acbebbea8cf50522bcf","schema_version":"1.0","event_id":"sha256:fda17b46e292d842d5e02ca60d3643d67ded89c858882acbebbea8cf50522bcf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UESOERLF7GAFAG67EZ5JHRPSI2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boolean lifting property in quantales","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"cs.LO","authors_text":"Daniela Cheptea, George Georgescu","submitted_at":"2019-01-18T11:38:30Z","abstract_excerpt":"In ring theory, the lifting idempotent property (LIP) is related to some important classes of rings: clean rings, exchange rings, local and semilocal rings, Gelfand rings,maximal rings, etc. Inspired by LIP, there were defined lifting properties for other algebraic structures: MV-algebras, BL- algebras, residuated lattices, abelian l-groups, congruence distributive universal algebras,etc. In this paper we define a lifting property (LP) in quantales, structures that constitute a good abstraction of the lattices of ideals, filters or congruences. LP generalizes all the lifting properties existin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06191","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c7cHCJhHNR5VmTvxNH3BptYKHfok2x7VnNoDP04DA4Gud+nWsjKDdq6xn4MaOe1mrOh9NX3rfJ5XWjypD2n9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T23:42:01.850156Z"},"content_sha256":"cda0edec2c47aa5c0ca2780a09e490fcb4e76f0cd7d94ccc4f9e739564fcdf6c","schema_version":"1.0","event_id":"sha256:cda0edec2c47aa5c0ca2780a09e490fcb4e76f0cd7d94ccc4f9e739564fcdf6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UESOERLF7GAFAG67EZ5JHRPSI2/bundle.json","state_url":"https://pith.science/pith/UESOERLF7GAFAG67EZ5JHRPSI2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UESOERLF7GAFAG67EZ5JHRPSI2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-30T23:42:01Z","links":{"resolver":"https://pith.science/pith/UESOERLF7GAFAG67EZ5JHRPSI2","bundle":"https://pith.science/pith/UESOERLF7GAFAG67EZ5JHRPSI2/bundle.json","state":"https://pith.science/pith/UESOERLF7GAFAG67EZ5JHRPSI2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UESOERLF7GAFAG67EZ5JHRPSI2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UESOERLF7GAFAG67EZ5JHRPSI2","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":"d1050ebc847665ec4bc058f1d8920a44b39c92d3b353623caf5708d666bc6ce9","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-01-18T11:38:30Z","title_canon_sha256":"cc28605264b976cd2c2056e5ec273681c7c74f351bbde6ed7f4e309518c13820"},"schema_version":"1.0","source":{"id":"1901.06191","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.06191","created_at":"2026-05-17T23:56:04Z"},{"alias_kind":"arxiv_version","alias_value":"1901.06191v1","created_at":"2026-05-17T23:56:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.06191","created_at":"2026-05-17T23:56:04Z"},{"alias_kind":"pith_short_12","alias_value":"UESOERLF7GAF","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UESOERLF7GAFAG67","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UESOERLF","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:cda0edec2c47aa5c0ca2780a09e490fcb4e76f0cd7d94ccc4f9e739564fcdf6c","target":"graph","created_at":"2026-05-17T23:56:04Z","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":"In ring theory, the lifting idempotent property (LIP) is related to some important classes of rings: clean rings, exchange rings, local and semilocal rings, Gelfand rings,maximal rings, etc. Inspired by LIP, there were defined lifting properties for other algebraic structures: MV-algebras, BL- algebras, residuated lattices, abelian l-groups, congruence distributive universal algebras,etc. In this paper we define a lifting property (LP) in quantales, structures that constitute a good abstraction of the lattices of ideals, filters or congruences. LP generalizes all the lifting properties existin","authors_text":"Daniela Cheptea, George Georgescu","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-01-18T11:38:30Z","title":"Boolean lifting property in quantales"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06191","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:fda17b46e292d842d5e02ca60d3643d67ded89c858882acbebbea8cf50522bcf","target":"record","created_at":"2026-05-17T23:56:04Z","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":"d1050ebc847665ec4bc058f1d8920a44b39c92d3b353623caf5708d666bc6ce9","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-01-18T11:38:30Z","title_canon_sha256":"cc28605264b976cd2c2056e5ec273681c7c74f351bbde6ed7f4e309518c13820"},"schema_version":"1.0","source":{"id":"1901.06191","kind":"arxiv","version":1}},"canonical_sha256":"a124e24565f980501bdf267a93c5f24687ed77f63ddecf1f22a88b172a1ae9c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a124e24565f980501bdf267a93c5f24687ed77f63ddecf1f22a88b172a1ae9c2","first_computed_at":"2026-05-17T23:56:04.288477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:04.288477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NStHXpl1LcWHGRR6QAT+7RVUEwClKyhtiGHOfRKeFBdDemCATo/2Vugn7iK1BEYY0LPc95S2ufEZRCgBJUJJDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:04.289080Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.06191","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fda17b46e292d842d5e02ca60d3643d67ded89c858882acbebbea8cf50522bcf","sha256:cda0edec2c47aa5c0ca2780a09e490fcb4e76f0cd7d94ccc4f9e739564fcdf6c"],"state_sha256":"d6c2ceb512acd061b18eba21403c92a76f676c85496e169ca707c2a6bea4dbc9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VYg1UiiuYeSLAf+YQualzGBK2PWi+Ohz+HC79cGkN8CMq3sZtjymcJ6KrSTyS4vFpczP9ppRchnU+zhL1WN6CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T23:42:01.852266Z","bundle_sha256":"7a3fd2706937b0e434eeb391d4518d57fddc1fa4c9f3fa486bc21df4e2cc4431"}}