{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UFNFWA4HYIHLXUC5W7UBG3FZ7T","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":"d01bb825b78700dc8e18885b600e5dcd6a93821cff18a35821ecacea6cdf70db","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-10-17T12:26:44Z","title_canon_sha256":"491c3b211e4241ab218f9995b99e7b9331aa22988e21a31b212029a14b0d7933"},"schema_version":"1.0","source":{"id":"1310.4673","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4673","created_at":"2026-05-18T03:08:35Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4673v2","created_at":"2026-05-18T03:08:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4673","created_at":"2026-05-18T03:08:35Z"},{"alias_kind":"pith_short_12","alias_value":"UFNFWA4HYIHL","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UFNFWA4HYIHLXUC5","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UFNFWA4H","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:a5b4cbd96f5cc3c167b4e67df3337f29dedd991c3c96c7bb4c76930e7db982ab","target":"graph","created_at":"2026-05-18T03:08:35Z","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 consider the dynamics of holomorphic polynomials in $\\mathbb C$. We show that the ergodic properties of the map can be seen already from the real parts of the orbits.","authors_text":"Han Peters, John Erik Fornaess","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-10-17T12:26:44Z","title":"Complex dynamics with focus on the real parts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4673","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":"sha256:2f6549e5b74057559d74f6ac75a8ca01b149ec520eeaf6c344e9238bc997aeb3","target":"record","created_at":"2026-05-18T03:08:35Z","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":"d01bb825b78700dc8e18885b600e5dcd6a93821cff18a35821ecacea6cdf70db","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-10-17T12:26:44Z","title_canon_sha256":"491c3b211e4241ab218f9995b99e7b9331aa22988e21a31b212029a14b0d7933"},"schema_version":"1.0","source":{"id":"1310.4673","kind":"arxiv","version":2}},"canonical_sha256":"a15a5b0387c20ebbd05db7e8136cb9fcdceecd474ba9082fd9a36f47b999eace","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a15a5b0387c20ebbd05db7e8136cb9fcdceecd474ba9082fd9a36f47b999eace","first_computed_at":"2026-05-18T03:08:35.884584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:35.884584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9WBRn1IqWUVCCFKwojJy+eY6g1iKGSuyOhww86NTEdDJIPvOxa8dRwkJ59jGl8DEsXHZT8TCysew9hDldTg6DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:35.885120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4673","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f6549e5b74057559d74f6ac75a8ca01b149ec520eeaf6c344e9238bc997aeb3","sha256:a5b4cbd96f5cc3c167b4e67df3337f29dedd991c3c96c7bb4c76930e7db982ab"],"state_sha256":"2c10162322aa4b15447a245aabce3d0837e6c974e94d1d24e2f3182ee9ea607b"}