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Laczkovich posed the following problem: Let $\\mathcal{B}_1(X)$ denote the set of Baire class $1$ functions defined on an uncountable Polish space $X$ equipped with the pointwise ordering. \\[\\text{Characterize the order types of the linearly ordered subsets of $\\mathcal{B}_1(X)$.} \\]The main result of the present paper is a complete solution to this problem.\n  We prove that a linear order is isomorphic to a linearly ordered family of Baire class $1$ functions iff it is isomorphic to a subset of the following linear order that we call $([0,1]^{<\\omega_1}_{\\searrow 0},<_{altlex})$"},"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":"1410.8362","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-10-30T13:14:02Z","cross_cats_sorted":[],"title_canon_sha256":"f72dbad23179dad511b3be74ce22dbaa56073730dd30d249b4541282df2d281b","abstract_canon_sha256":"5cae16f865da368d5905ad5a9b2b0d83cda899ab96bae76d70fdceefda2ca16f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:38.328787Z","signature_b64":"9KWEx2HJFNu03PAxor8aG6rOSr8bxlwHLopnO8I+c0+OiaM77mkLLgOTNm6cp+s5Mzqd8oS0wVrlxZrbvmfmCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"631c8f08d2f4b2612ba3ab8e2555dbb5795b625638d633d3a6bdced72ddd5dc6","last_reissued_at":"2026-05-18T00:56:38.328116Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:38.328116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterization of order types of pointwise linearly ordered families of Baire class 1 functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"M\\'arton Elekes, Zolt\\'an Vidny\\'anszky","submitted_at":"2014-10-30T13:14:02Z","abstract_excerpt":"In the 1970s M. 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