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Z^N is the Baer-Specker group.\n  We study subgroups of the Baer-Specker group which possess group theoretic properties analogous to properties introduced by Menger (1924), Hurewicz (1925)"},"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":"math/0508146","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2005-08-08T15:12:32Z","cross_cats_sorted":["math.CO","math.GR","math.LO"],"title_canon_sha256":"c628bfb5705a0436057642623ecbe89e9bf7d852e84a5664a341888b64c758e6","abstract_canon_sha256":"1f86b89c6da2c85a182960968f2e91d3f4e17f47e7dd1a79f71151b5c0ce9323"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:23.142501Z","signature_b64":"+P39dbAl82PmcnDD4UztPUbmEBjq8hPKyiPiaVqFxC1E5pyji5nBL69Ih/+dChNFgvDxpr0gl9WpPzYjx7iAAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"849930dfbe6256e84059fce0d2f031d228e62995e771052423e97dd583ec0761","last_reissued_at":"2026-05-18T04:37:23.142095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:23.142095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The combinatorics of the Baer-Specker group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.GR","math.LO"],"primary_cat":"math.GN","authors_text":"Boaz Tsaban, Michal Machura","submitted_at":"2005-08-08T15:12:32Z","abstract_excerpt":"Denote the integers by Z and the positive integers by N.\n  The groups Z^k (k a natural number) are discrete, and the classification up to isomorphism of their (topological) subgroups is trivial. 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