{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3TAUM36FRKT3EXEJYW2RITUY4Y","short_pith_number":"pith:3TAUM36F","schema_version":"1.0","canonical_sha256":"dcc1466fc58aa7b25c89c5b5144e98e62bd76a8979ec811efcae5a3ee5c8b1f4","source":{"kind":"arxiv","id":"1407.6515","version":1},"attestation_state":"computed","paper":{"title":"On Gibson functions with connected graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Olena Karlova, Volodymyr Mykhaylyuk","submitted_at":"2014-07-24T10:17:49Z","abstract_excerpt":"A function $f:X\\to Y$ between topological spaces is said to be a {\\it weakly Gibson function} if $f(\\overline{G})\\subseteq \\overline{f(G)}$ for any open connected set \\mbox{$G\\subseteq X$}. We call a function $f:X\\to Y$ {\\it segmentary connected} if $X$ is topological vector space and $f([a,b])$ is connected for every segment $[a,b]\\subseteq X$. We show that if $X$ is a hereditarily Baire space, $Y$ is a metric space, \\mbox{$f:X\\to Y$} is a Baire-one function and one of the following conditions holds: (i) $X$ is a connected and locally connected space and $f$ is a weakly Gibson function, (ii) "},"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":"1407.6515","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2014-07-24T10:17:49Z","cross_cats_sorted":[],"title_canon_sha256":"f24acd70326e7ffac6ce489a0fd8ad4bccfa95dbe89e9edad19e883a30aca4f0","abstract_canon_sha256":"823f82b09e7595259a32f9b22381bb649d50c785ead192f2a9888844c2e9b607"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:46:38.569243Z","signature_b64":"q1/iM21JIwxfSXDm4qVTKTsgbA5TBn7dkNCKhZmDHRjzIq3DFw8iuo4TfgPorqK/X6rJsmcmSQTJtZPjl0T2Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcc1466fc58aa7b25c89c5b5144e98e62bd76a8979ec811efcae5a3ee5c8b1f4","last_reissued_at":"2026-05-18T02:46:38.568851Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:46:38.568851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Gibson functions with connected graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Olena Karlova, Volodymyr Mykhaylyuk","submitted_at":"2014-07-24T10:17:49Z","abstract_excerpt":"A function $f:X\\to Y$ between topological spaces is said to be a {\\it weakly Gibson function} if $f(\\overline{G})\\subseteq \\overline{f(G)}$ for any open connected set \\mbox{$G\\subseteq X$}. We call a function $f:X\\to Y$ {\\it segmentary connected} if $X$ is topological vector space and $f([a,b])$ is connected for every segment $[a,b]\\subseteq X$. We show that if $X$ is a hereditarily Baire space, $Y$ is a metric space, \\mbox{$f:X\\to Y$} is a Baire-one function and one of the following conditions holds: (i) $X$ is a connected and locally connected space and $f$ is a weakly Gibson function, (ii) "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6515","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":"1407.6515","created_at":"2026-05-18T02:46:38.568918+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.6515v1","created_at":"2026-05-18T02:46:38.568918+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6515","created_at":"2026-05-18T02:46:38.568918+00:00"},{"alias_kind":"pith_short_12","alias_value":"3TAUM36FRKT3","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3TAUM36FRKT3EXEJ","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3TAUM36F","created_at":"2026-05-18T12:28:11.866339+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/3TAUM36FRKT3EXEJYW2RITUY4Y","json":"https://pith.science/pith/3TAUM36FRKT3EXEJYW2RITUY4Y.json","graph_json":"https://pith.science/api/pith-number/3TAUM36FRKT3EXEJYW2RITUY4Y/graph.json","events_json":"https://pith.science/api/pith-number/3TAUM36FRKT3EXEJYW2RITUY4Y/events.json","paper":"https://pith.science/paper/3TAUM36F"},"agent_actions":{"view_html":"https://pith.science/pith/3TAUM36FRKT3EXEJYW2RITUY4Y","download_json":"https://pith.science/pith/3TAUM36FRKT3EXEJYW2RITUY4Y.json","view_paper":"https://pith.science/paper/3TAUM36F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.6515&json=true","fetch_graph":"https://pith.science/api/pith-number/3TAUM36FRKT3EXEJYW2RITUY4Y/graph.json","fetch_events":"https://pith.science/api/pith-number/3TAUM36FRKT3EXEJYW2RITUY4Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3TAUM36FRKT3EXEJYW2RITUY4Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3TAUM36FRKT3EXEJYW2RITUY4Y/action/storage_attestation","attest_author":"https://pith.science/pith/3TAUM36FRKT3EXEJYW2RITUY4Y/action/author_attestation","sign_citation":"https://pith.science/pith/3TAUM36FRKT3EXEJYW2RITUY4Y/action/citation_signature","submit_replication":"https://pith.science/pith/3TAUM36FRKT3EXEJYW2RITUY4Y/action/replication_record"}},"created_at":"2026-05-18T02:46:38.568918+00:00","updated_at":"2026-05-18T02:46:38.568918+00:00"}