{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZCPLIQJBECYWOO4DWII6XWRO2E","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":"f4e5e97dd0dd50c326b823d40d1cc7c3d8f94b4cc7a1e7949f7e4e4c4f73f252","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-04-24T18:45:31Z","title_canon_sha256":"90600851b72256c5a6a0ab5a17e8ec8a17d568ef15bc894ea16cc9b54ddd38c1"},"schema_version":"1.0","source":{"id":"1604.07069","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07069","created_at":"2026-07-05T00:27:40Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07069v6","created_at":"2026-07-05T00:27:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07069","created_at":"2026-07-05T00:27:40Z"},{"alias_kind":"pith_short_12","alias_value":"ZCPLIQJBECYW","created_at":"2026-07-05T00:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"ZCPLIQJBECYWOO4D","created_at":"2026-07-05T00:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"ZCPLIQJB","created_at":"2026-07-05T00:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:5ab449ae650a2b6cd3bc1a2e5c67f5022aa2a2f2841c2199d322cfe4551d4466","target":"graph","created_at":"2026-07-05T00:27:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1604.07069/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use hyperbolicity of golden-mean renormalization of dissipative H\\'enon-like maps to prove that the boundaries of Siegel disks of sufficiently dissipative quadratic complex H\\'enon maps with golden-mean rotation number are topological circles.\n  Conditionally on an appropriate renormalization hyperbolicity property, we derive the same result for Siegel disks of H\\'enon maps with all eventually periodic rotation numbers.","authors_text":"Denis Gaidashev, Michael Yampolsky, Remus Radu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-04-24T18:45:31Z","title":"Renormalization and Siegel disks for complex H\\'enon maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07069","kind":"arxiv","version":6},"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":"sha256:1bdb9e43fdb3cf25bd32e1e9e59d0809bf8eb5fa9bd947bda57a8d4b83b0fe8e","target":"record","created_at":"2026-07-05T00:27:40Z","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":"f4e5e97dd0dd50c326b823d40d1cc7c3d8f94b4cc7a1e7949f7e4e4c4f73f252","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-04-24T18:45:31Z","title_canon_sha256":"90600851b72256c5a6a0ab5a17e8ec8a17d568ef15bc894ea16cc9b54ddd38c1"},"schema_version":"1.0","source":{"id":"1604.07069","kind":"arxiv","version":6}},"canonical_sha256":"c89eb4412120b1673b83b211ebda2ed12d3fede09bb365cac48b25db2a81a211","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c89eb4412120b1673b83b211ebda2ed12d3fede09bb365cac48b25db2a81a211","first_computed_at":"2026-07-05T00:27:40.897201Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:27:40.897201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+YtAHBXoL1VmmxmXF275FL95o9uiqVO38CjTO06jxXbweCG/ZtAHbJZEt7HW6m5DtljetxqhzE9ZYJIWLVdmDA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:27:40.897602Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07069","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bdb9e43fdb3cf25bd32e1e9e59d0809bf8eb5fa9bd947bda57a8d4b83b0fe8e","sha256:5ab449ae650a2b6cd3bc1a2e5c67f5022aa2a2f2841c2199d322cfe4551d4466"],"state_sha256":"9b81bbe5fea7984d7cd89c5db612e2314f65ac77188f19402dc0ba00457077fd"}