{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XM4YO4N36QTH73FADZENGYFF4V","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":"3885b9fb349938709ddc66aaa995db4b908cf76817f0b341febf5aa80ca3a7f9","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-10-27T16:53:25Z","title_canon_sha256":"3cf2c507342c1205ce5f22d6f42977ac5d9fb0f765d06b427bafee0771739dd6"},"schema_version":"1.0","source":{"id":"1110.6140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6140","created_at":"2026-05-18T04:10:09Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6140v1","created_at":"2026-05-18T04:10:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6140","created_at":"2026-05-18T04:10:09Z"},{"alias_kind":"pith_short_12","alias_value":"XM4YO4N36QTH","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XM4YO4N36QTH73FA","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XM4YO4N3","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:f16c2194915ef1f2f4f22b846d22cb37a432b20d6ac9fc1084285432a65bf24c","target":"graph","created_at":"2026-05-18T04:10:09Z","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":"Le Roux and Ziegler asked whether every simply connected compact nonempty planar co-c.e. closed set always contains a computable point. In this paper, we solve the problem of le Roux and Ziegler by showing that there exists a contractible planar co-c.e. dendroid without computable points. We also provide several pathological examples of tree-like co-c.e. continua fulfilling certain global incomputability properties: there is a computable dendrite which does not *-include a co-c.e. tree; there is a co-c.e. dendrite which does not *-include a computable dendrite; there is a computable dendroid w","authors_text":"Takayuki Kihara","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-10-27T16:53:25Z","title":"Incomputability of Simply Connected Planar Continua"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6140","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":"sha256:481d0b3584b5b9939f6e34b068cbe194b0beac1bdcaffca1e054286973b053f1","target":"record","created_at":"2026-05-18T04:10:09Z","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":"3885b9fb349938709ddc66aaa995db4b908cf76817f0b341febf5aa80ca3a7f9","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-10-27T16:53:25Z","title_canon_sha256":"3cf2c507342c1205ce5f22d6f42977ac5d9fb0f765d06b427bafee0771739dd6"},"schema_version":"1.0","source":{"id":"1110.6140","kind":"arxiv","version":1}},"canonical_sha256":"bb398771bbf4267feca01e48d360a5e5503fac04cb38e673c59fa893e103a100","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb398771bbf4267feca01e48d360a5e5503fac04cb38e673c59fa893e103a100","first_computed_at":"2026-05-18T04:10:09.498951Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:09.498951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I6ANjjRxV/872GheGRhcZiEFd7oa8GdWFfM4GASHkeVUa9T0Md8Vlq1o89LYwaw+oma3oiM6j931HG1peEDjCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:09.499730Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.6140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:481d0b3584b5b9939f6e34b068cbe194b0beac1bdcaffca1e054286973b053f1","sha256:f16c2194915ef1f2f4f22b846d22cb37a432b20d6ac9fc1084285432a65bf24c"],"state_sha256":"8b532762a75d00b0a1eb40bacaadba6737d6ded17994fecb6ba202d1856c2962"}