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Then a bitopological property $\\mathcal{P}$\\ is called pairwise semiregular provided that $\\left( X,\\tau _{1},\\tau _{2}\\right) $\\ has the property $\\mathcal{P}$\\ if and only if $\\left( X,\\tau _{\\left( 1,2\\right) }^{s},\\tau _{\\left( 2,1\\right) }^{s}\\right) $\\ has the same property. In this work we study pairwise semiregular property of $\\left( i,j\\right) $-nearly Lindel\\\"{o}f, pairwise nearly Lindel\\\"{o}f, $\\l"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1904.02445","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.GN","submitted_at":"2019-04-04T10:04:44Z","cross_cats_sorted":[],"title_canon_sha256":"bb6106714423c2491bb27edffce108129a3b373a1f2bd7e05eb6ac5d6797a7c6","abstract_canon_sha256":"1a1768373db535e3c832e4b265ff33b2e4fc4a7d57768981dee2f727e87faa0d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:23.651611Z","signature_b64":"bhtPKDUPIv40m5X/3eCS4XDB3IGotumXRiTCbD5uE9uxWTGOmFLtDhFXesI8B4Y24y5stIXHqQnnokqV/18CCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4e32576aca9b3c87b648a841690342ad2715906b2f1f6dbfde78a782fa82b8e","last_reissued_at":"2026-05-17T23:49:23.651205Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:23.651205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pairwise Semiregular Properties on Generalized Pairwise Lindelof Spaces","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Zabidin Salleh","submitted_at":"2019-04-04T10:04:44Z","abstract_excerpt":"Let $\\left( X,\\tau _{1},\\tau _{2}\\right) $ be a bitopological space and $% \\left( X,\\tau _{\\left( 1,2\\right) }^{s},\\tau _{\\left( 2,1\\right) }^{s}\\right) $ its pairwise semiregularization. Then a bitopological property $\\mathcal{P}$\\ is called pairwise semiregular provided that $\\left( X,\\tau _{1},\\tau _{2}\\right) $\\ has the property $\\mathcal{P}$\\ if and only if $\\left( X,\\tau _{\\left( 1,2\\right) }^{s},\\tau _{\\left( 2,1\\right) }^{s}\\right) $\\ has the same property. In this work we study pairwise semiregular property of $\\left( i,j\\right) $-nearly Lindel\\\"{o}f, pairwise nearly Lindel\\\"{o}f, $\\l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.02445","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1904.02445","created_at":"2026-05-17T23:49:23.651265+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.02445v1","created_at":"2026-05-17T23:49:23.651265+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.02445","created_at":"2026-05-17T23:49:23.651265+00:00"},{"alias_kind":"pith_short_12","alias_value":"UTRSK5VMVGZ4","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"UTRSK5VMVGZ4Q63E","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"UTRSK5VM","created_at":"2026-05-18T12:33:30.264802+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UTRSK5VMVGZ4Q63ERKCBNEBUFL","json":"https://pith.science/pith/UTRSK5VMVGZ4Q63ERKCBNEBUFL.json","graph_json":"https://pith.science/api/pith-number/UTRSK5VMVGZ4Q63ERKCBNEBUFL/graph.json","events_json":"https://pith.science/api/pith-number/UTRSK5VMVGZ4Q63ERKCBNEBUFL/events.json","paper":"https://pith.science/paper/UTRSK5VM"},"agent_actions":{"view_html":"https://pith.science/pith/UTRSK5VMVGZ4Q63ERKCBNEBUFL","download_json":"https://pith.science/pith/UTRSK5VMVGZ4Q63ERKCBNEBUFL.json","view_paper":"https://pith.science/paper/UTRSK5VM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.02445&json=true","fetch_graph":"https://pith.science/api/pith-number/UTRSK5VMVGZ4Q63ERKCBNEBUFL/graph.json","fetch_events":"https://pith.science/api/pith-number/UTRSK5VMVGZ4Q63ERKCBNEBUFL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UTRSK5VMVGZ4Q63ERKCBNEBUFL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UTRSK5VMVGZ4Q63ERKCBNEBUFL/action/storage_attestation","attest_author":"https://pith.science/pith/UTRSK5VMVGZ4Q63ERKCBNEBUFL/action/author_attestation","sign_citation":"https://pith.science/pith/UTRSK5VMVGZ4Q63ERKCBNEBUFL/action/citation_signature","submit_replication":"https://pith.science/pith/UTRSK5VMVGZ4Q63ERKCBNEBUFL/action/replication_record"}},"created_at":"2026-05-17T23:49:23.651265+00:00","updated_at":"2026-05-17T23:49:23.651265+00:00"}