{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:67V32ZB4DMKOZMFIEY27V24O3U","short_pith_number":"pith:67V32ZB4","schema_version":"1.0","canonical_sha256":"f7ebbd643c1b14ecb0a82635faeb8edd1427b28e825b43393e8309f741659d1e","source":{"kind":"arxiv","id":"1907.08762","version":1},"attestation_state":"computed","paper":{"title":"$Ps$-normal and $Ps$-Tychonoff spaces","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Ram Chandra Manna, Sagarmoy Bag, Sourav Kanti Patra","submitted_at":"2019-07-20T05:38:29Z","abstract_excerpt":"A space $X$ is called $Ps$-normal($Ps$-Tychonoff) space if there exists a normal(Tychonoff) space $Y$ and a bijection $f: X\\mapsto Y$ such that $f\\lvert_K:K\\mapsto f(K)$ is homeomorphism for any pseudocompact subset $K$ of $X$. We establish a few relations between $C$-normal, $CC$-normal, $L$-normal, $C$-Tychonoff, $CC$-Tychonoff spaces with $Ps$-normal and $Ps$-Tychonoff spaces."},"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":"1907.08762","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.GN","submitted_at":"2019-07-20T05:38:29Z","cross_cats_sorted":[],"title_canon_sha256":"b7dbe6ca548b04b47ae90355f572e91da376549647fcf0cf07cae1e39601fec8","abstract_canon_sha256":"24e7ba3dc9c4231c361b269abb139805dc669afe16e5501cae07fd425687a74f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:05.442182Z","signature_b64":"J/v2Cy5RikqV+YDIBqgJBQ5mFf1SRswwfo52QED0uAXKSF4VB2QdfTU+baFLy/X/uy83hdNDI+z3KUT19zKGDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7ebbd643c1b14ecb0a82635faeb8edd1427b28e825b43393e8309f741659d1e","last_reissued_at":"2026-05-17T23:40:05.441491Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:05.441491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$Ps$-normal and $Ps$-Tychonoff spaces","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Ram Chandra Manna, Sagarmoy Bag, Sourav Kanti Patra","submitted_at":"2019-07-20T05:38:29Z","abstract_excerpt":"A space $X$ is called $Ps$-normal($Ps$-Tychonoff) space if there exists a normal(Tychonoff) space $Y$ and a bijection $f: X\\mapsto Y$ such that $f\\lvert_K:K\\mapsto f(K)$ is homeomorphism for any pseudocompact subset $K$ of $X$. We establish a few relations between $C$-normal, $CC$-normal, $L$-normal, $C$-Tychonoff, $CC$-Tychonoff spaces with $Ps$-normal and $Ps$-Tychonoff spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.08762","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":"1907.08762","created_at":"2026-05-17T23:40:05.441604+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.08762v1","created_at":"2026-05-17T23:40:05.441604+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.08762","created_at":"2026-05-17T23:40:05.441604+00:00"},{"alias_kind":"pith_short_12","alias_value":"67V32ZB4DMKO","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"67V32ZB4DMKOZMFI","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"67V32ZB4","created_at":"2026-05-18T12:33:10.108867+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/67V32ZB4DMKOZMFIEY27V24O3U","json":"https://pith.science/pith/67V32ZB4DMKOZMFIEY27V24O3U.json","graph_json":"https://pith.science/api/pith-number/67V32ZB4DMKOZMFIEY27V24O3U/graph.json","events_json":"https://pith.science/api/pith-number/67V32ZB4DMKOZMFIEY27V24O3U/events.json","paper":"https://pith.science/paper/67V32ZB4"},"agent_actions":{"view_html":"https://pith.science/pith/67V32ZB4DMKOZMFIEY27V24O3U","download_json":"https://pith.science/pith/67V32ZB4DMKOZMFIEY27V24O3U.json","view_paper":"https://pith.science/paper/67V32ZB4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.08762&json=true","fetch_graph":"https://pith.science/api/pith-number/67V32ZB4DMKOZMFIEY27V24O3U/graph.json","fetch_events":"https://pith.science/api/pith-number/67V32ZB4DMKOZMFIEY27V24O3U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/67V32ZB4DMKOZMFIEY27V24O3U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/67V32ZB4DMKOZMFIEY27V24O3U/action/storage_attestation","attest_author":"https://pith.science/pith/67V32ZB4DMKOZMFIEY27V24O3U/action/author_attestation","sign_citation":"https://pith.science/pith/67V32ZB4DMKOZMFIEY27V24O3U/action/citation_signature","submit_replication":"https://pith.science/pith/67V32ZB4DMKOZMFIEY27V24O3U/action/replication_record"}},"created_at":"2026-05-17T23:40:05.441604+00:00","updated_at":"2026-05-17T23:40:05.441604+00:00"}