{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3IPHS47XXVFHPEIWAMODPJ2KGQ","short_pith_number":"pith:3IPHS47X","canonical_record":{"source":{"id":"1810.09534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-10-22T20:36:22Z","cross_cats_sorted":[],"title_canon_sha256":"fddd8a6767127815457c873de4284fc4c25bc182da24fc0f81b42d77d81ba3ac","abstract_canon_sha256":"7c68284138150e7d5e999a0e4262e97476f36717cf9d305f2ee46f5ab488a350"},"schema_version":"1.0"},"canonical_sha256":"da1e7973f7bd4a779116031c37a74a34003e92d66d2edddf933ee0613cebac64","source":{"kind":"arxiv","id":"1810.09534","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.09534","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"arxiv_version","alias_value":"1810.09534v1","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.09534","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"pith_short_12","alias_value":"3IPHS47XXVFH","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3IPHS47XXVFHPEIW","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3IPHS47X","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3IPHS47XXVFHPEIWAMODPJ2KGQ","target":"record","payload":{"canonical_record":{"source":{"id":"1810.09534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-10-22T20:36:22Z","cross_cats_sorted":[],"title_canon_sha256":"fddd8a6767127815457c873de4284fc4c25bc182da24fc0f81b42d77d81ba3ac","abstract_canon_sha256":"7c68284138150e7d5e999a0e4262e97476f36717cf9d305f2ee46f5ab488a350"},"schema_version":"1.0"},"canonical_sha256":"da1e7973f7bd4a779116031c37a74a34003e92d66d2edddf933ee0613cebac64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:39.329661Z","signature_b64":"xcNrXdB3K9Zn8sfkWxIV68TnMxWNK9pD/+r+bEUuRsId/34dy6byFFnXU8dt/Qv4lC+77LPoh2T0aFd8naUECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da1e7973f7bd4a779116031c37a74a34003e92d66d2edddf933ee0613cebac64","last_reissued_at":"2026-05-18T00:02:39.329037Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:39.329037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.09534","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":"2026-05-18T00:02:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NKw+zivIRW5CDNAQrUEk6pwJDr94RxILhEp3QorBGy3UhtFQNLhoH+GUOKMd2G/YDLjB4CzmP5o96I8PXsGeAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T16:58:24.534352Z"},"content_sha256":"6808db583572677790b2576e3aaba175cbd21c2e7b9adc3fa388001f47688891","schema_version":"1.0","event_id":"sha256:6808db583572677790b2576e3aaba175cbd21c2e7b9adc3fa388001f47688891"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3IPHS47XXVFHPEIWAMODPJ2KGQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Involutive right-residuated l-groupoids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Ivan Chajda, Sandor Radeleczki","submitted_at":"2018-10-22T20:36:22Z","abstract_excerpt":"A common generalization of orthomodular lattices and residuated lattices is provided corresponding to bounded lattices with an involution and sectionally extensive mappings. It turns out that such a generalization can be based on integral right-residuated l-groupoids. This general framework is applied to MV-algebras,orthomodular lattices, Nelson algebras, basic algebras and Heyting algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.09534","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":"2026-05-18T00:02:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hnAJCDaCvTfjFBn3VW3HL+N4hAilLgWcMFWA+qHnBo4uIpL3QX4zdsjWLMviAr/yqv7LQc/O9vSHXby6RjzZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T16:58:24.534698Z"},"content_sha256":"a033116118f5b8fd385b5a30e911652d827482c3024b209affb3d8b1ad751752","schema_version":"1.0","event_id":"sha256:a033116118f5b8fd385b5a30e911652d827482c3024b209affb3d8b1ad751752"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3IPHS47XXVFHPEIWAMODPJ2KGQ/bundle.json","state_url":"https://pith.science/pith/3IPHS47XXVFHPEIWAMODPJ2KGQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3IPHS47XXVFHPEIWAMODPJ2KGQ/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":"2026-06-20T16:58:24Z","links":{"resolver":"https://pith.science/pith/3IPHS47XXVFHPEIWAMODPJ2KGQ","bundle":"https://pith.science/pith/3IPHS47XXVFHPEIWAMODPJ2KGQ/bundle.json","state":"https://pith.science/pith/3IPHS47XXVFHPEIWAMODPJ2KGQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3IPHS47XXVFHPEIWAMODPJ2KGQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3IPHS47XXVFHPEIWAMODPJ2KGQ","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":"7c68284138150e7d5e999a0e4262e97476f36717cf9d305f2ee46f5ab488a350","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-10-22T20:36:22Z","title_canon_sha256":"fddd8a6767127815457c873de4284fc4c25bc182da24fc0f81b42d77d81ba3ac"},"schema_version":"1.0","source":{"id":"1810.09534","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.09534","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"arxiv_version","alias_value":"1810.09534v1","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.09534","created_at":"2026-05-18T00:02:39Z"},{"alias_kind":"pith_short_12","alias_value":"3IPHS47XXVFH","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3IPHS47XXVFHPEIW","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3IPHS47X","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:a033116118f5b8fd385b5a30e911652d827482c3024b209affb3d8b1ad751752","target":"graph","created_at":"2026-05-18T00:02:39Z","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":"A common generalization of orthomodular lattices and residuated lattices is provided corresponding to bounded lattices with an involution and sectionally extensive mappings. It turns out that such a generalization can be based on integral right-residuated l-groupoids. This general framework is applied to MV-algebras,orthomodular lattices, Nelson algebras, basic algebras and Heyting algebras.","authors_text":"Ivan Chajda, Sandor Radeleczki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-10-22T20:36:22Z","title":"Involutive right-residuated l-groupoids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.09534","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":"sha256:6808db583572677790b2576e3aaba175cbd21c2e7b9adc3fa388001f47688891","target":"record","created_at":"2026-05-18T00:02:39Z","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":"7c68284138150e7d5e999a0e4262e97476f36717cf9d305f2ee46f5ab488a350","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-10-22T20:36:22Z","title_canon_sha256":"fddd8a6767127815457c873de4284fc4c25bc182da24fc0f81b42d77d81ba3ac"},"schema_version":"1.0","source":{"id":"1810.09534","kind":"arxiv","version":1}},"canonical_sha256":"da1e7973f7bd4a779116031c37a74a34003e92d66d2edddf933ee0613cebac64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da1e7973f7bd4a779116031c37a74a34003e92d66d2edddf933ee0613cebac64","first_computed_at":"2026-05-18T00:02:39.329037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:39.329037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xcNrXdB3K9Zn8sfkWxIV68TnMxWNK9pD/+r+bEUuRsId/34dy6byFFnXU8dt/Qv4lC+77LPoh2T0aFd8naUECQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:39.329661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.09534","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6808db583572677790b2576e3aaba175cbd21c2e7b9adc3fa388001f47688891","sha256:a033116118f5b8fd385b5a30e911652d827482c3024b209affb3d8b1ad751752"],"state_sha256":"23a829eeef3c728b6c7692b1530c776e948e4f7982a9454b361c15f0144f5463"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jz5qHKTOuZqRIsaSV0p40EY6As+e4lJHRqsG/9D+EoqjZoivCGkk/fULQ2z/3de2W/ApnBQctZd6oRV0cW/EDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T16:58:24.536590Z","bundle_sha256":"3ee217fd0e14b7e8fc06527138fc9c067ecacb11fc3ebd0c3b116f45c72c6bce"}}