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Hryniewicz","submitted_at":"2015-05-11T17:53:40Z","abstract_excerpt":"The first result of this paper is that every contact form on $\\mathbb{R} P^3$ sufficiently $C^\\infty$-close to a dynamically convex contact form admits an elliptic-parabolic closed Reeb orbit which is $2$-unknotted, has self-linking number $-1/2$ and transverse rotation number in $(1/2,1]$. Our second result implies that any $p$-unknotted periodic orbit with self-linking number $-1/p$ of a dynamically convex Reeb flow on a lens space of order $p$ is the binding of a rational open book decomposition, whose pages are global surfaces of section.\n  As an application we show that in the planar circ"},"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":"1505.02713","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-05-11T17:53:40Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"a72b16734e26935bab67f0113af6b503a127035b983c866e7a53204884a9b5c9","abstract_canon_sha256":"df3edc324632f92919b1e2733f96400a405334daf8548b8b90a02ae9badfc164"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:25.723426Z","signature_b64":"nMw58uytfRkeR/bQTJBlA2rQpeLIqJi0XYg8WtCh169xy6ZSNxn7zxAwpwucQ7QPWhxYZqgRgZH9KoaLWoF/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f52241de50b948f7758aa07c4fe120d13eb8301d9651bebf999fd692697b80b4","last_reissued_at":"2026-05-18T01:17:25.722958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:25.722958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Elliptic bindings for dynamically convex Reeb flows on the real projective three-space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.SG","authors_text":"Pedro A. 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