{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4MGJOU3LLDP6CDX2C4EUBQ2VCN","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":"2db80ea30edddf107141d4f21fd1aa4a4d2ce5d316d35e5373c7e1af13538457","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-06-16T19:44:12Z","title_canon_sha256":"2590a5b5476d99110cc47356bdadd14908f4e4d5dafbf3a05f068e8840e5745c"},"schema_version":"1.0","source":{"id":"1106.3318","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3318","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3318v3","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3318","created_at":"2026-05-18T04:01:51Z"},{"alias_kind":"pith_short_12","alias_value":"4MGJOU3LLDP6","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4MGJOU3LLDP6CDX2","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4MGJOU3L","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:81cfafdb2d8722bf0e1dc70613c275c5af952a78c7f505073de502a904d6a567","target":"graph","created_at":"2026-05-18T04:01:51Z","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 investigate, and prove equivalent, effective versions of local connectivity and uniformly local arcwise connectivity for connected and computably compact subspaces of Euclidean space. We also prove that Euclidean continua that are computably compact and effectively locally connected are computably arcwise connected.","authors_text":"Dale Daniel, Timothy H. McNicholl","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-06-16T19:44:12Z","title":"Effective local connectivity properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3318","kind":"arxiv","version":3},"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":"sha256:30da7269f27b79585148a0c50efad6d55c287905e06d24910af5928d607f4ec5","target":"record","created_at":"2026-05-18T04:01:51Z","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":"2db80ea30edddf107141d4f21fd1aa4a4d2ce5d316d35e5373c7e1af13538457","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-06-16T19:44:12Z","title_canon_sha256":"2590a5b5476d99110cc47356bdadd14908f4e4d5dafbf3a05f068e8840e5745c"},"schema_version":"1.0","source":{"id":"1106.3318","kind":"arxiv","version":3}},"canonical_sha256":"e30c97536b58dfe10efa170940c355134d7e7a0a6de762abf44c1cbbaeb8563e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e30c97536b58dfe10efa170940c355134d7e7a0a6de762abf44c1cbbaeb8563e","first_computed_at":"2026-05-18T04:01:51.023763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:51.023763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E85aUCMPbnxVcFpnwoSIpeRdrZ1UDig5S+fgKlEbBVnPqVlW904vpBfFb+Yum5V4yQ5srEYUemz1y1Va9sguDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:51.024437Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.3318","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30da7269f27b79585148a0c50efad6d55c287905e06d24910af5928d607f4ec5","sha256:81cfafdb2d8722bf0e1dc70613c275c5af952a78c7f505073de502a904d6a567"],"state_sha256":"7f5c71254f2573b3b907ef6c61674a1cafda00d7350c2e041862fda25218af8e"}