{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:LWA4CYQZJXGYFGJ2QMDDL2YCTG","short_pith_number":"pith:LWA4CYQZ","schema_version":"1.0","canonical_sha256":"5d81c162194dcd82993a830635eb0299badfec48f5cdc3ae75987d26e2392d7d","source":{"kind":"arxiv","id":"2411.18360","version":1},"attestation_state":"computed","paper":{"title":"Linearizations of periodic point free distal homeomorphisms on the annulus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Enhui Shi, Hui Xu, Ziqi Yu","submitted_at":"2024-11-27T14:06:53Z","abstract_excerpt":"Let $\\mathbb{A}$ be an annulus in the plane $\\mathbb R^2$ and $g:\\mathbb{A}\\rightarrow \\mathbb{A}$ be a boundary components preserving homeomorphism which is distal and has no periodic points. In \\cite{SXY}, the authors show that there is a continuous decomposition $\\mathcal P$ of $\\mathbb{A}$ into $g$-invariant circles such that all the restrictions of $g$ on them share a common irrational rotation number (also called the rotation number of $g$) and all these circles are linearly ordered by the inclusion relation on the sets of bounded components of their complements in $\\mathbb R^2$. In this"},"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":"2411.18360","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2024-11-27T14:06:53Z","cross_cats_sorted":[],"title_canon_sha256":"2c0584d11d46a8206a11be680b1add362e70f1c6bb4af773b61b61570ba5bea5","abstract_canon_sha256":"07e59eb9cac74c04e2536168cd53bf5e5a2db6c6cb8c22eaa31cbe561e1c7846"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:41:15.614075Z","signature_b64":"xEGNTroKhSrJ0+Da5nTR0G7w5tQ0ZqRhHz4YpQ8gMK4p7uJlb7N3pLbQquwtsSsavFXQMh5Sc7UARzuvvs/sAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d81c162194dcd82993a830635eb0299badfec48f5cdc3ae75987d26e2392d7d","last_reissued_at":"2026-07-05T09:41:15.613603Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:41:15.613603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linearizations of periodic point free distal homeomorphisms on the annulus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Enhui Shi, Hui Xu, Ziqi Yu","submitted_at":"2024-11-27T14:06:53Z","abstract_excerpt":"Let $\\mathbb{A}$ be an annulus in the plane $\\mathbb R^2$ and $g:\\mathbb{A}\\rightarrow \\mathbb{A}$ be a boundary components preserving homeomorphism which is distal and has no periodic points. In \\cite{SXY}, the authors show that there is a continuous decomposition $\\mathcal P$ of $\\mathbb{A}$ into $g$-invariant circles such that all the restrictions of $g$ on them share a common irrational rotation number (also called the rotation number of $g$) and all these circles are linearly ordered by the inclusion relation on the sets of bounded components of their complements in $\\mathbb R^2$. In this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.18360","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.18360/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2411.18360","created_at":"2026-07-05T09:41:15.613667+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.18360v1","created_at":"2026-07-05T09:41:15.613667+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.18360","created_at":"2026-07-05T09:41:15.613667+00:00"},{"alias_kind":"pith_short_12","alias_value":"LWA4CYQZJXGY","created_at":"2026-07-05T09:41:15.613667+00:00"},{"alias_kind":"pith_short_16","alias_value":"LWA4CYQZJXGYFGJ2","created_at":"2026-07-05T09:41:15.613667+00:00"},{"alias_kind":"pith_short_8","alias_value":"LWA4CYQZ","created_at":"2026-07-05T09:41:15.613667+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LWA4CYQZJXGYFGJ2QMDDL2YCTG","json":"https://pith.science/pith/LWA4CYQZJXGYFGJ2QMDDL2YCTG.json","graph_json":"https://pith.science/api/pith-number/LWA4CYQZJXGYFGJ2QMDDL2YCTG/graph.json","events_json":"https://pith.science/api/pith-number/LWA4CYQZJXGYFGJ2QMDDL2YCTG/events.json","paper":"https://pith.science/paper/LWA4CYQZ"},"agent_actions":{"view_html":"https://pith.science/pith/LWA4CYQZJXGYFGJ2QMDDL2YCTG","download_json":"https://pith.science/pith/LWA4CYQZJXGYFGJ2QMDDL2YCTG.json","view_paper":"https://pith.science/paper/LWA4CYQZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.18360&json=true","fetch_graph":"https://pith.science/api/pith-number/LWA4CYQZJXGYFGJ2QMDDL2YCTG/graph.json","fetch_events":"https://pith.science/api/pith-number/LWA4CYQZJXGYFGJ2QMDDL2YCTG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LWA4CYQZJXGYFGJ2QMDDL2YCTG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LWA4CYQZJXGYFGJ2QMDDL2YCTG/action/storage_attestation","attest_author":"https://pith.science/pith/LWA4CYQZJXGYFGJ2QMDDL2YCTG/action/author_attestation","sign_citation":"https://pith.science/pith/LWA4CYQZJXGYFGJ2QMDDL2YCTG/action/citation_signature","submit_replication":"https://pith.science/pith/LWA4CYQZJXGYFGJ2QMDDL2YCTG/action/replication_record"}},"created_at":"2026-07-05T09:41:15.613667+00:00","updated_at":"2026-07-05T09:41:15.613667+00:00"}