{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TQJU5WMZEEN7TAWASGEB4KIBQT","short_pith_number":"pith:TQJU5WMZ","schema_version":"1.0","canonical_sha256":"9c134ed999211bf982c091881e290184f04b9353387aab5bfd3c41ebb646f13c","source":{"kind":"arxiv","id":"1112.4272","version":2},"attestation_state":"computed","paper":{"title":"Partial hyperbolicity and central shadowing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Sergey Kryzhevich, Sergey Tikhomirov","submitted_at":"2011-12-19T09:17:10Z","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."},"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":"1112.4272","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-12-19T09:17:10Z","cross_cats_sorted":[],"title_canon_sha256":"0beb4a9691f77cc0f9dcfad864c110bcc90c9f5bbb920c3868091db064a975b1","abstract_canon_sha256":"e33afad1d9bc7cf25f9314cace550fa27492f7443fc5cedd52b58a498ee37427"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:26.840862Z","signature_b64":"5bp6Wc4japotga4Z57alX0jIEXsjhA8ZF6lW3QB2MHcP0eqxvoRdApmT0zuD3RflzFs2l2fkEhIlefdSp56kBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c134ed999211bf982c091881e290184f04b9353387aab5bfd3c41ebb646f13c","last_reissued_at":"2026-05-18T04:02:26.840388Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:26.840388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partial hyperbolicity and central shadowing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Sergey Kryzhevich, Sergey Tikhomirov","submitted_at":"2011-12-19T09:17:10Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4272","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1112.4272","created_at":"2026-05-18T04:02:26.840471+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.4272v2","created_at":"2026-05-18T04:02:26.840471+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4272","created_at":"2026-05-18T04:02:26.840471+00:00"},{"alias_kind":"pith_short_12","alias_value":"TQJU5WMZEEN7","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TQJU5WMZEEN7TAWA","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TQJU5WMZ","created_at":"2026-05-18T12:26:42.757692+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/TQJU5WMZEEN7TAWASGEB4KIBQT","json":"https://pith.science/pith/TQJU5WMZEEN7TAWASGEB4KIBQT.json","graph_json":"https://pith.science/api/pith-number/TQJU5WMZEEN7TAWASGEB4KIBQT/graph.json","events_json":"https://pith.science/api/pith-number/TQJU5WMZEEN7TAWASGEB4KIBQT/events.json","paper":"https://pith.science/paper/TQJU5WMZ"},"agent_actions":{"view_html":"https://pith.science/pith/TQJU5WMZEEN7TAWASGEB4KIBQT","download_json":"https://pith.science/pith/TQJU5WMZEEN7TAWASGEB4KIBQT.json","view_paper":"https://pith.science/paper/TQJU5WMZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.4272&json=true","fetch_graph":"https://pith.science/api/pith-number/TQJU5WMZEEN7TAWASGEB4KIBQT/graph.json","fetch_events":"https://pith.science/api/pith-number/TQJU5WMZEEN7TAWASGEB4KIBQT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TQJU5WMZEEN7TAWASGEB4KIBQT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TQJU5WMZEEN7TAWASGEB4KIBQT/action/storage_attestation","attest_author":"https://pith.science/pith/TQJU5WMZEEN7TAWASGEB4KIBQT/action/author_attestation","sign_citation":"https://pith.science/pith/TQJU5WMZEEN7TAWASGEB4KIBQT/action/citation_signature","submit_replication":"https://pith.science/pith/TQJU5WMZEEN7TAWASGEB4KIBQT/action/replication_record"}},"created_at":"2026-05-18T04:02:26.840471+00:00","updated_at":"2026-05-18T04:02:26.840471+00:00"}