{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VKLHOGP3VZJSNB3IQK44OISPRR","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":"a1e9c82454ae5205914ba28bbc883b8e1c57f2b709d06a9bdc331b87643450f8","cross_cats_sorted":["math.CV"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2026-05-20T09:20:55Z","title_canon_sha256":"3ef0121cf6034ee009430eccd376a5c8f0d5ac1e7dcac9217d34be69cad6deae"},"schema_version":"1.0","source":{"id":"2605.20935","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20935","created_at":"2026-05-21T01:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20935v1","created_at":"2026-05-21T01:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20935","created_at":"2026-05-21T01:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"VKLHOGP3VZJS","created_at":"2026-05-21T01:05:28Z"},{"alias_kind":"pith_short_16","alias_value":"VKLHOGP3VZJSNB3I","created_at":"2026-05-21T01:05:28Z"},{"alias_kind":"pith_short_8","alias_value":"VKLHOGP3","created_at":"2026-05-21T01:05:28Z"}],"graph_snapshots":[{"event_id":"sha256:237005c6bc50f9555bb0d3e06836a0a9217c03c56c371ec41dce19f7f53ccc35","target":"graph","created_at":"2026-05-21T01:05:28Z","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/2605.20935/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $f$ and $g$ be two H\\'enon-Sibony maps of $\\mathbb{C}^k$. We show that if they have the same forward Julia set, then they share a common iterate, thereby extending Lamy's results from dimension 2.","authors_text":"Gabriel Vigny","cross_cats":["math.CV"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2026-05-20T09:20:55Z","title":"Rigidity of the Julia set for H\\'enon-Sibony maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20935","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:f47e0a6ab8bba69826d14bb65720b435bedf69e2845bd750ba8a335c850f9b10","target":"record","created_at":"2026-05-21T01:05:28Z","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":"a1e9c82454ae5205914ba28bbc883b8e1c57f2b709d06a9bdc331b87643450f8","cross_cats_sorted":["math.CV"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2026-05-20T09:20:55Z","title_canon_sha256":"3ef0121cf6034ee009430eccd376a5c8f0d5ac1e7dcac9217d34be69cad6deae"},"schema_version":"1.0","source":{"id":"2605.20935","kind":"arxiv","version":1}},"canonical_sha256":"aa967719fbae5326876882b9c7224f8c5da867fc419a67388fe7f82179c8522d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa967719fbae5326876882b9c7224f8c5da867fc419a67388fe7f82179c8522d","first_computed_at":"2026-05-21T01:05:28.861301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:05:28.861301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0hJSDfupplfBxuQsfmSco5NwtLkEIuj2ZlRPCe+VJIZJXsj3fq9E9Lg7M736p9CJD0i+R5nWclNKtIoBKbM+AA==","signature_status":"signed_v1","signed_at":"2026-05-21T01:05:28.861852Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.20935","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f47e0a6ab8bba69826d14bb65720b435bedf69e2845bd750ba8a335c850f9b10","sha256:237005c6bc50f9555bb0d3e06836a0a9217c03c56c371ec41dce19f7f53ccc35"],"state_sha256":"4ce2467f3da764e7b59348c55445fb67e1756fc6f8fb759c1d841172260a0393"}