{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LW75435PBNPPAWICYWDKJ5TSQF","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":"74bc7e569882eaf2a531d61c0507f8b9435c3221af8894d29ebefe82f24dc8fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-05-21T15:45:55Z","title_canon_sha256":"8fcb3fe0ccd1f7a585abf259bac810486524717b665da0db15ec15b2b0efcf98"},"schema_version":"1.0","source":{"id":"1505.05776","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05776","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05776v3","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05776","created_at":"2026-05-18T01:34:41Z"},{"alias_kind":"pith_short_12","alias_value":"LW75435PBNPP","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LW75435PBNPPAWIC","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LW75435P","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:ed179cedf50edd034c528014abfe3ed18a0bbcf40f0b8862a60611106ca2e7f3","target":"graph","created_at":"2026-05-18T01:34:41Z","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 present a new kind of normalization theorem: linearization theorem for skew products. The normal form is a skew product again, with the fiber maps linear. It appears, that even in the smooth case, the conjugacy is only H\\\"older continuous with respect to the base. The normalization theorem mentioned above may be applied to perturbations of skew products and to the study of new persistent properties of attractors.","authors_text":"Olga Romaskevich, Yulij Ilyashenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-05-21T15:45:55Z","title":"Sternberg linearization theorem for skew products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05776","kind":"arxiv","version":3},"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:e11282825f4064b6e7e225ae976e777184a6a9a989151e131c719d9c89c58672","target":"record","created_at":"2026-05-18T01:34:41Z","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":"74bc7e569882eaf2a531d61c0507f8b9435c3221af8894d29ebefe82f24dc8fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-05-21T15:45:55Z","title_canon_sha256":"8fcb3fe0ccd1f7a585abf259bac810486524717b665da0db15ec15b2b0efcf98"},"schema_version":"1.0","source":{"id":"1505.05776","kind":"arxiv","version":3}},"canonical_sha256":"5dbfde6faf0b5ef05902c586a4f67281574e5b1e350640ccf35ebad344c9d98e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dbfde6faf0b5ef05902c586a4f67281574e5b1e350640ccf35ebad344c9d98e","first_computed_at":"2026-05-18T01:34:41.725697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:41.725697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jVANHZ+0XdMRYDGEyuDaNbXu1+ms8P/TN2hcTjTRJD2wFhQLkvzm7nigOY+KVlRRurTKnukLckDhaLSuFYeoBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:41.726459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05776","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e11282825f4064b6e7e225ae976e777184a6a9a989151e131c719d9c89c58672","sha256:ed179cedf50edd034c528014abfe3ed18a0bbcf40f0b8862a60611106ca2e7f3"],"state_sha256":"f206d119419071be23d00bd5b45ed97b5339a497dd430aec0799a35d1e3339c6"}