{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:P4QNU7RDDDY4R5PD5I33QPOWYN","short_pith_number":"pith:P4QNU7RD","schema_version":"1.0","canonical_sha256":"7f20da7e2318f1c8f5e3ea37b83dd6c36411275e9498d41f4490bd06e904007a","source":{"kind":"arxiv","id":"1604.02881","version":2},"attestation_state":"computed","paper":{"title":"Weak and strong structures and the $T_{3.5}$ property for generalized topological spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"B. Samadi, E. Makai, E. Peyghan, Jr.","submitted_at":"2016-04-11T10:53:17Z","abstract_excerpt":"We investigate weak and strong structures for generalized topological spaces, among others products, sums, subspaces, quotients, and the complete lattice of generalized topologies on a given set. Also we introduce $T_{3.5}$ generalized topological spaces and give a necessary and sufficient condition for a generalized topological space to be a $T_{3.5}$ space: they are exactly the subspaces of powers of a certain natural generalized topology on $[0,1]$. For spaces with at least two points here we can have even dense subspaces. Also, $T_{3.5}$ generalized topological spaces are exactly the dense"},"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":"1604.02881","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2016-04-11T10:53:17Z","cross_cats_sorted":[],"title_canon_sha256":"d0816d7209b70e29467e6d13897f3256a9f47dca69065eacedc6fbfd14f9195a","abstract_canon_sha256":"f49a68a2aaeaa341ed411ed532b4eda689f3a8481a9d40c78a46ccec6821152c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:11.275432Z","signature_b64":"ofXr1p/77OQP+2UvX76IJk2EDBrfCh8TDPJHR78u9pUkB91GNHdzk73NXAnmSrTL2c550684uGewEoJc/ReeBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f20da7e2318f1c8f5e3ea37b83dd6c36411275e9498d41f4490bd06e904007a","last_reissued_at":"2026-05-18T01:17:11.274655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:11.274655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weak and strong structures and the $T_{3.5}$ property for generalized topological spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"B. Samadi, E. Makai, E. Peyghan, Jr.","submitted_at":"2016-04-11T10:53:17Z","abstract_excerpt":"We investigate weak and strong structures for generalized topological spaces, among others products, sums, subspaces, quotients, and the complete lattice of generalized topologies on a given set. Also we introduce $T_{3.5}$ generalized topological spaces and give a necessary and sufficient condition for a generalized topological space to be a $T_{3.5}$ space: they are exactly the subspaces of powers of a certain natural generalized topology on $[0,1]$. For spaces with at least two points here we can have even dense subspaces. Also, $T_{3.5}$ generalized topological spaces are exactly the dense"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02881","kind":"arxiv","version":2},"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":"1604.02881","created_at":"2026-05-18T01:17:11.274778+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.02881v2","created_at":"2026-05-18T01:17:11.274778+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02881","created_at":"2026-05-18T01:17:11.274778+00:00"},{"alias_kind":"pith_short_12","alias_value":"P4QNU7RDDDY4","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"P4QNU7RDDDY4R5PD","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"P4QNU7RD","created_at":"2026-05-18T12:30:36.002864+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/P4QNU7RDDDY4R5PD5I33QPOWYN","json":"https://pith.science/pith/P4QNU7RDDDY4R5PD5I33QPOWYN.json","graph_json":"https://pith.science/api/pith-number/P4QNU7RDDDY4R5PD5I33QPOWYN/graph.json","events_json":"https://pith.science/api/pith-number/P4QNU7RDDDY4R5PD5I33QPOWYN/events.json","paper":"https://pith.science/paper/P4QNU7RD"},"agent_actions":{"view_html":"https://pith.science/pith/P4QNU7RDDDY4R5PD5I33QPOWYN","download_json":"https://pith.science/pith/P4QNU7RDDDY4R5PD5I33QPOWYN.json","view_paper":"https://pith.science/paper/P4QNU7RD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.02881&json=true","fetch_graph":"https://pith.science/api/pith-number/P4QNU7RDDDY4R5PD5I33QPOWYN/graph.json","fetch_events":"https://pith.science/api/pith-number/P4QNU7RDDDY4R5PD5I33QPOWYN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P4QNU7RDDDY4R5PD5I33QPOWYN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P4QNU7RDDDY4R5PD5I33QPOWYN/action/storage_attestation","attest_author":"https://pith.science/pith/P4QNU7RDDDY4R5PD5I33QPOWYN/action/author_attestation","sign_citation":"https://pith.science/pith/P4QNU7RDDDY4R5PD5I33QPOWYN/action/citation_signature","submit_replication":"https://pith.science/pith/P4QNU7RDDDY4R5PD5I33QPOWYN/action/replication_record"}},"created_at":"2026-05-18T01:17:11.274778+00:00","updated_at":"2026-05-18T01:17:11.274778+00:00"}