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Let m and n be integers greater than 1, we prove that there exists an effectively computable constant c(m,n) depending only on m and n such that the following holds. Let f_1,...,f_n be polynomials with coefficients in K, which are disintegrated polynomials of degree at most m and let F be the induced coordinate-wise self-map of the n-th dimens"},"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":"1510.05016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-10-16T20:18:42Z","cross_cats_sorted":["math.AG","math.DS"],"title_canon_sha256":"1e7243d3002a75fde2de13d40f0a0731d68785d9d3fae2c7988f75f2412dbd96","abstract_canon_sha256":"a6c0c597aaf197d84842368f703d290e8b514879f258c9e98dd40e6749c55cfa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:53.410000Z","signature_b64":"8h5Vyhw8fmHQZ6od7u+0G5fZaK9TxWducwOy3krQMgPnJBVKqAoQYUJD7WAB3hYJuXbVK7aIXuOu9QJs/Xv7Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42728d1b2db8d3cdda229a17e72177dc82b8e0cb2ca0b7758557348e2fe192ec","last_reissued_at":"2026-05-18T01:29:53.409459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:53.409459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics of split polynomial maps: uniform bounds for periods and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DS"],"primary_cat":"math.NT","authors_text":"Dragos Ghioca, Khoa D. 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