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An interior $p$-periodic point is a fixed point of $f^p$ which is not the landing point of any periodic ray invariant under $f^p$. Points belonging to attracting, Siegel or Cremer cycles are examples of interior periodic points. For functions as above we show that rays which are invariant under $f^p$, together with their l"},"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":"1112.0531","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-12-02T18:20:58Z","cross_cats_sorted":[],"title_canon_sha256":"cb430aba06b74bee262478f0923f47d008232aa153835674991ac7726ec1e263","abstract_canon_sha256":"134c30ed361454226b2bb3781831ed0fce7fd0137c5dd8a18ba36a33237d12a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:06.398113Z","signature_b64":"xKazLvKT3PLph69CRbr+MASPnTqgQDoGPmG9kL74Vtd9p9gfR2lkK6fGMv7Hfy+T40444r6jUC7Eph34jP+bAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bce45be5ac858561509871b3374e081350e4a20ad9dea9b6e9f5b57a0b19a735","last_reissued_at":"2026-05-18T02:32:06.397737Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:06.397737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A separation theorem for entire transcendental maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Anna Miriam Benini, Nuria Fagella","submitted_at":"2011-12-02T18:20:58Z","abstract_excerpt":"We study the distribution of periodic points for a wide class of maps, namely entire transcendental functions of finite order and with bounded set of singular values, or compositions thereof. 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