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More than ten years ago, Ne\\v{s}et\\v{r}il and \\v{S}\\'amal (On tension-continuous mappings. $\\textit{European J. Combin.,}$ 29(4):1025--1054, 2008) asked whether the core of a cubelike graph is cubelike, but since then very little progress has been made towards resolving the question. Here we investigate the structure of the core of a cubelike graph, deducing a variety of structural, spectral and group-theo"},"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":"1808.02051","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-08-06T18:05:51Z","cross_cats_sorted":[],"title_canon_sha256":"d74cbaa02fb3dfa7bce02931b2522c3dfee491cc4f8db5c6c10e14b5bd4d5d6a","abstract_canon_sha256":"b351f64cb6f200e4dd905fa80d689beac2fa9c2b15dd583a7d9d40a96e526d70"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:47.793397Z","signature_b64":"f3hCCgfXqqivaubMYHzSnFewpbTa3TLE3pomOboXi39RvgpcHOI45I66iJSs81fpMRGAcG6AEKWQiy68xYilBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6617409460d97ceee0970f1cba4ad136e853186d84da18a754595478e8abdec0","last_reissued_at":"2026-05-18T00:08:47.792751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:47.792751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cores of Cubelike Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"David E. 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