{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TQJU5WMZEEN7TAWASGEB4KIBQT","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":"e33afad1d9bc7cf25f9314cace550fa27492f7443fc5cedd52b58a498ee37427","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-12-19T09:17:10Z","title_canon_sha256":"0beb4a9691f77cc0f9dcfad864c110bcc90c9f5bbb920c3868091db064a975b1"},"schema_version":"1.0","source":{"id":"1112.4272","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4272","created_at":"2026-05-18T04:02:26Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4272v2","created_at":"2026-05-18T04:02:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4272","created_at":"2026-05-18T04:02:26Z"},{"alias_kind":"pith_short_12","alias_value":"TQJU5WMZEEN7","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TQJU5WMZEEN7TAWA","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TQJU5WMZ","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:ae520e0aa0dba878702c7d3f51eb8f333b5abcbfe51acf8a3b940d1b5cceaf9a","target":"graph","created_at":"2026-05-18T04:02:26Z","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":"We study shadowing property for a partially hyperbolic diffeomorphism $f$. It is proved that if $f$ is dynamically coherent then any pseudotrajectory can be shadowed by a pseudotrajectory with \"jumps\" along the central foliation. The proof is based on the Tikhonov-Shauder fixed point theorem.","authors_text":"Sergey Kryzhevich, Sergey Tikhomirov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-12-19T09:17:10Z","title":"Partial hyperbolicity and central shadowing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4272","kind":"arxiv","version":2},"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:ccf57d984ee888f17019fe882deb7c9fc9966d428029ffe29fff882b5cfe34f9","target":"record","created_at":"2026-05-18T04:02:26Z","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":"e33afad1d9bc7cf25f9314cace550fa27492f7443fc5cedd52b58a498ee37427","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-12-19T09:17:10Z","title_canon_sha256":"0beb4a9691f77cc0f9dcfad864c110bcc90c9f5bbb920c3868091db064a975b1"},"schema_version":"1.0","source":{"id":"1112.4272","kind":"arxiv","version":2}},"canonical_sha256":"9c134ed999211bf982c091881e290184f04b9353387aab5bfd3c41ebb646f13c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c134ed999211bf982c091881e290184f04b9353387aab5bfd3c41ebb646f13c","first_computed_at":"2026-05-18T04:02:26.840388Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:26.840388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5bp6Wc4japotga4Z57alX0jIEXsjhA8ZF6lW3QB2MHcP0eqxvoRdApmT0zuD3RflzFs2l2fkEhIlefdSp56kBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:26.840862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.4272","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccf57d984ee888f17019fe882deb7c9fc9966d428029ffe29fff882b5cfe34f9","sha256:ae520e0aa0dba878702c7d3f51eb8f333b5abcbfe51acf8a3b940d1b5cceaf9a"],"state_sha256":"edaa9914e357c4989cf833034607b51286468583f4dbcf0f415cb1e8efd461c8"}