{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JMPKKIKWG5PD74IK4EHEYVSGQB","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":"c20168fff384018d81df012d4bdafcf0833f7baa9d36ab395c9bd233c4cb1828","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-09-08T21:32:31Z","title_canon_sha256":"abe14fca5f994e527ab7873bb92b6aa285f5c22afe84bfa7f03b3fb97a82cde8"},"schema_version":"1.0","source":{"id":"1609.02600","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.02600","created_at":"2026-05-18T00:36:19Z"},{"alias_kind":"arxiv_version","alias_value":"1609.02600v2","created_at":"2026-05-18T00:36:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02600","created_at":"2026-05-18T00:36:19Z"},{"alias_kind":"pith_short_12","alias_value":"JMPKKIKWG5PD","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JMPKKIKWG5PD74IK","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JMPKKIKW","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:d9ee9097c498577f22626a91512e293a20daa4361a373f05a7ebb02330b8b240","target":"graph","created_at":"2026-05-18T00:36:19Z","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":"As was recently shown by the first author and others, golden-mean Siegel disks of sufficiently dissipative complex quadratic H\\'enon maps are bounded by topological circles. In this paper we investigate the geometric properties of such curves, and demonstrate that they cannot be $C^1$-smooth.","authors_text":"Jonguk Yang, Michael Yampolsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-09-08T21:32:31Z","title":"The boundaries of golden-mean Siegel disks in the complex quadratic H\\'enon family are not smooth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02600","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:ffb6241357fda23df6e9e1ae0ba6fd71dccf177db380fa15dc21d6bbf7d3f78b","target":"record","created_at":"2026-05-18T00:36:19Z","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":"c20168fff384018d81df012d4bdafcf0833f7baa9d36ab395c9bd233c4cb1828","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-09-08T21:32:31Z","title_canon_sha256":"abe14fca5f994e527ab7873bb92b6aa285f5c22afe84bfa7f03b3fb97a82cde8"},"schema_version":"1.0","source":{"id":"1609.02600","kind":"arxiv","version":2}},"canonical_sha256":"4b1ea52156375e3ff10ae10e4c5646804b86218028d763d6d28ae59e64f5b5ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b1ea52156375e3ff10ae10e4c5646804b86218028d763d6d28ae59e64f5b5ef","first_computed_at":"2026-05-18T00:36:19.506548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:19.506548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3Dsq22B9bZ4JldhvbudWRbd+qEaqMxqVM/VjgDCIYB6Kf5NvG0l8agK6m+FSocRTISmIfvosl7FUxUAhz0V+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:19.507206Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.02600","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffb6241357fda23df6e9e1ae0ba6fd71dccf177db380fa15dc21d6bbf7d3f78b","sha256:d9ee9097c498577f22626a91512e293a20daa4361a373f05a7ebb02330b8b240"],"state_sha256":"92b7bfe8ba210e76dcbfad3ca17816fe79153fce136b870533b69f5a71ee7663"}