{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:76RPUXDMTSGVXGL5CEKPTKGYZP","short_pith_number":"pith:76RPUXDM","schema_version":"1.0","canonical_sha256":"ffa2fa5c6c9c8d5b997d1114f9a8d8cbd3a5c2b6be99ae549afdb35c47292844","source":{"kind":"arxiv","id":"1708.01754","version":1},"attestation_state":"computed","paper":{"title":"Diagonals of separately continuous maps with values in box products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Olena Karlova, Volodymyr Mykhaylyuk","submitted_at":"2017-08-05T11:31:43Z","abstract_excerpt":"We prove that if $X$ is a paracompact connected space and $Z=\\prod_{s\\in S}Z_s$ is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for every Baire-one map $g:X\\to Z$ there exists a separately continuous map $f:X^2\\to Z$ such that $f(x,x)=g(x)$ for all $x\\in X$."},"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":"1708.01754","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2017-08-05T11:31:43Z","cross_cats_sorted":[],"title_canon_sha256":"e1d22bdd0974bfd6a5097f0d4d2fbf161a245c32da02605fedfbe188c5becfc8","abstract_canon_sha256":"1d4518c80530cad0ea0b135a2797e08a48a83c933b2f126131619649527b0860"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:34.995279Z","signature_b64":"+DjiG1WvtC7qRVasn/ye9afY4dZJOoerHqfzK/oKUASf5G5oL0t7OHrqdaJgYi4cxRFMIPpXFDcaA52lgRN/CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffa2fa5c6c9c8d5b997d1114f9a8d8cbd3a5c2b6be99ae549afdb35c47292844","last_reissued_at":"2026-05-18T00:38:34.994776Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:34.994776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diagonals of separately continuous maps with values in box products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Olena Karlova, Volodymyr Mykhaylyuk","submitted_at":"2017-08-05T11:31:43Z","abstract_excerpt":"We prove that if $X$ is a paracompact connected space and $Z=\\prod_{s\\in S}Z_s$ is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for every Baire-one map $g:X\\to Z$ there exists a separately continuous map $f:X^2\\to Z$ such that $f(x,x)=g(x)$ for all $x\\in X$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01754","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":"1708.01754","created_at":"2026-05-18T00:38:34.994874+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.01754v1","created_at":"2026-05-18T00:38:34.994874+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01754","created_at":"2026-05-18T00:38:34.994874+00:00"},{"alias_kind":"pith_short_12","alias_value":"76RPUXDMTSGV","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"76RPUXDMTSGVXGL5","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"76RPUXDM","created_at":"2026-05-18T12:31:03.183658+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/76RPUXDMTSGVXGL5CEKPTKGYZP","json":"https://pith.science/pith/76RPUXDMTSGVXGL5CEKPTKGYZP.json","graph_json":"https://pith.science/api/pith-number/76RPUXDMTSGVXGL5CEKPTKGYZP/graph.json","events_json":"https://pith.science/api/pith-number/76RPUXDMTSGVXGL5CEKPTKGYZP/events.json","paper":"https://pith.science/paper/76RPUXDM"},"agent_actions":{"view_html":"https://pith.science/pith/76RPUXDMTSGVXGL5CEKPTKGYZP","download_json":"https://pith.science/pith/76RPUXDMTSGVXGL5CEKPTKGYZP.json","view_paper":"https://pith.science/paper/76RPUXDM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.01754&json=true","fetch_graph":"https://pith.science/api/pith-number/76RPUXDMTSGVXGL5CEKPTKGYZP/graph.json","fetch_events":"https://pith.science/api/pith-number/76RPUXDMTSGVXGL5CEKPTKGYZP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/76RPUXDMTSGVXGL5CEKPTKGYZP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/76RPUXDMTSGVXGL5CEKPTKGYZP/action/storage_attestation","attest_author":"https://pith.science/pith/76RPUXDMTSGVXGL5CEKPTKGYZP/action/author_attestation","sign_citation":"https://pith.science/pith/76RPUXDMTSGVXGL5CEKPTKGYZP/action/citation_signature","submit_replication":"https://pith.science/pith/76RPUXDMTSGVXGL5CEKPTKGYZP/action/replication_record"}},"created_at":"2026-05-18T00:38:34.994874+00:00","updated_at":"2026-05-18T00:38:34.994874+00:00"}