{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PCEZTSIYIN6YBTIRQ4FN4YL5DW","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":"9a2cbac5fa0142585192d71f3299249b70093fcf278c8cbd5453e2353c5c8ffa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-02-19T17:02:54Z","title_canon_sha256":"8aa9e28e63b4c4b128246c7c1bceaac1aa4ad3afd3dd349251d491066c20e73b"},"schema_version":"1.0","source":{"id":"1702.05768","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05768","created_at":"2026-05-18T00:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05768v2","created_at":"2026-05-18T00:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05768","created_at":"2026-05-18T00:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"PCEZTSIYIN6Y","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PCEZTSIYIN6YBTIR","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PCEZTSIY","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:4f7d72c794fe704588733476d10ca1ace56935036f1fc1ada3f68c756e53566e","target":"graph","created_at":"2026-05-18T00:38:18Z","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 prove that Collet-Eckmann rational maps have poly-time computable Julia sets. As a consequence, almost all real quadratic Julia sets are poly-time.","authors_text":"Artem Dudko, Michael Yampolsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-02-19T17:02:54Z","title":"Almost every real quadratic polynomial has a poly-time computable Julia set"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05768","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":"sha256:0681dd649ba048f32b2670538e540fbbcbe43d8222b7cf9dc40af134ab8b1b76","target":"record","created_at":"2026-05-18T00:38:18Z","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":"9a2cbac5fa0142585192d71f3299249b70093fcf278c8cbd5453e2353c5c8ffa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-02-19T17:02:54Z","title_canon_sha256":"8aa9e28e63b4c4b128246c7c1bceaac1aa4ad3afd3dd349251d491066c20e73b"},"schema_version":"1.0","source":{"id":"1702.05768","kind":"arxiv","version":2}},"canonical_sha256":"788999c918437d80cd11870ade617d1da73c8beebae6d21642c9ba3f4e131b84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"788999c918437d80cd11870ade617d1da73c8beebae6d21642c9ba3f4e131b84","first_computed_at":"2026-05-18T00:38:18.249044Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:18.249044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FZgODenCrlY13s4gMEv4FtMc5qP8pBeYuy4fyvYkR5ZuufaZmb3g2PMGhqWINa/59wiRWdkCtCKyZT3E+Lk5Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:18.249773Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.05768","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0681dd649ba048f32b2670538e540fbbcbe43d8222b7cf9dc40af134ab8b1b76","sha256:4f7d72c794fe704588733476d10ca1ace56935036f1fc1ada3f68c756e53566e"],"state_sha256":"8518ec00be395e5a26c9f5486c01629598fc5128426800430b71c8d09974a6ca"}