{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2LRPLEIQQZXMUSBLLX6TSZ3GRM","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":"ed19a79a2a1d73302405f83723deaf606631c53b10d190f3bf92c5aa3310d17d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-11-25T03:22:20Z","title_canon_sha256":"7b1bde9223d2f05a076374fd9418de6bb5b5e1133d8ff88391a488ab0ac88d0b"},"schema_version":"1.0","source":{"id":"1811.09936","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.09936","created_at":"2026-05-17T23:59:59Z"},{"alias_kind":"arxiv_version","alias_value":"1811.09936v1","created_at":"2026-05-17T23:59:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.09936","created_at":"2026-05-17T23:59:59Z"},{"alias_kind":"pith_short_12","alias_value":"2LRPLEIQQZXM","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2LRPLEIQQZXMUSBL","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2LRPLEIQ","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:e9375f587d7c3d3cb26a0ae41b642fc6136973da2ed0cdc6c7a1610a4c7387fb","target":"graph","created_at":"2026-05-17T23:59:59Z","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":"In this paper, we provide a technique result on the existence of Gibbs cu-states for diffeomorphisms with dominated splittings. More precisely, for given $C^2$ diffeomorphim $f$ with dominated splitting $T_{\\Lambda}M = E\\oplus F$ on an attractor $\\Lambda$, by considering some suitable random perturbation of $f$, we show that for any zero noise limit of ergodic stationary measures, if it has positive integrable Lyapunov exponents along invariant sub-bundle $E$, then its ergodic components contain Gibbs cu-states associated to $E$. With this technique, we show the existence of SRB measures and p","authors_text":"Zeya Mi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-11-25T03:22:20Z","title":"SRB measures for some diffeomorphisms with dominated splittings as zero noise limits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.09936","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":"sha256:86ca1c89c7a796712110563de6cfd4ce103535b0ff39041ef3e324de91470918","target":"record","created_at":"2026-05-17T23:59:59Z","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":"ed19a79a2a1d73302405f83723deaf606631c53b10d190f3bf92c5aa3310d17d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-11-25T03:22:20Z","title_canon_sha256":"7b1bde9223d2f05a076374fd9418de6bb5b5e1133d8ff88391a488ab0ac88d0b"},"schema_version":"1.0","source":{"id":"1811.09936","kind":"arxiv","version":1}},"canonical_sha256":"d2e2f59110866eca482b5dfd3967668b1f65e838cf590f132ca05bf4dd73f6bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2e2f59110866eca482b5dfd3967668b1f65e838cf590f132ca05bf4dd73f6bb","first_computed_at":"2026-05-17T23:59:59.054918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:59.054918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8P9jehTDHvS1VOYm+u50U9ZQtoRleyXCOD2MwB/fFU/eCXjYHc/XvFwPYXDbWnAsGpAKJnu+PqEdij1VQUYjAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:59.055491Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.09936","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86ca1c89c7a796712110563de6cfd4ce103535b0ff39041ef3e324de91470918","sha256:e9375f587d7c3d3cb26a0ae41b642fc6136973da2ed0cdc6c7a1610a4c7387fb"],"state_sha256":"16890a6fe295bd2042254c6ec50f7b0d9dd09145a6c985cc954006a9680fea9f"}