{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HNLBN6GNKGJWV7RZ75KKAPYUBB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9440476f091e0aee4f0b117968f0a6986a7aa69c78f37ac2bf9821c00b54af44","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-05-01T02:52:49Z","title_canon_sha256":"baaa65ccf0dc768d3516535312b63d75f6fb1c35b7e9f80ceef8defb8893e7ab"},"schema_version":"1.0","source":{"id":"1405.0081","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0081","created_at":"2026-05-18T02:52:49Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0081v1","created_at":"2026-05-18T02:52:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0081","created_at":"2026-05-18T02:52:49Z"},{"alias_kind":"pith_short_12","alias_value":"HNLBN6GNKGJW","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HNLBN6GNKGJWV7RZ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HNLBN6GN","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:2b428efbf94b9d5cda15d8a8e1ca37045592710eccf5cb89860b8eeed5a66825","target":"graph","created_at":"2026-05-18T02:52:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Let $f$ be a partially hyperbolic diffeomorphism. $f$ is called has the quasi-shadowing property if for any pseudo orbit $\\{x_k\\}_{k\\in \\mathbb{Z}}$, there is a sequence $\\{y_k\\}_{k\\in \\mathbb{Z}}$ tracing it in which $y_{k+1}$ lies in the local center leaf of $f(y_k)$ for any $k\\in \\mathbb{Z}$. $f$ is called topologically quasi-stable if for any homeomorphism $g$ $C^0$-close to $f$, there exist a continuous map $\\pi$ and a motion $\\tau$ along the center foliation such that $\\pi\\circ g=\\tau\\circ f\\circ\\pi$. In this paper we prove that if $f$ is dynamically coherent then it has quasi-shadowing ","authors_text":"Huyi Hu, Yujun Zhu, Yunhua Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-05-01T02:52:49Z","title":"Quasi-Shadowing and Quasi-Stability for Dynamically Coherent Partially Hyperbolic Diffeomorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0081","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:237de6bc2233f07fc9b73436b3855af18ee3c98141c46a6380426a460e7fc2f6","target":"record","created_at":"2026-05-18T02:52:49Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9440476f091e0aee4f0b117968f0a6986a7aa69c78f37ac2bf9821c00b54af44","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-05-01T02:52:49Z","title_canon_sha256":"baaa65ccf0dc768d3516535312b63d75f6fb1c35b7e9f80ceef8defb8893e7ab"},"schema_version":"1.0","source":{"id":"1405.0081","kind":"arxiv","version":1}},"canonical_sha256":"3b5616f8cd51936afe39ff54a03f140854af38d013a10fda0f6e299fbd5112c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b5616f8cd51936afe39ff54a03f140854af38d013a10fda0f6e299fbd5112c7","first_computed_at":"2026-05-18T02:52:49.055109Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:49.055109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sc1tHBhn9oUZoxltqXObciei0YdcbyEZ2OEoARF2snxwOSqQVdCnSocjhXQFMluT16sxii9OjrhTKoZcBQp7Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:49.055519Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0081","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:237de6bc2233f07fc9b73436b3855af18ee3c98141c46a6380426a460e7fc2f6","sha256:2b428efbf94b9d5cda15d8a8e1ca37045592710eccf5cb89860b8eeed5a66825"],"state_sha256":"94527a2081ccd4f6d0a3ea309855564430b293f1ee4d08f3b74dadb16cfd7774"}