{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:OWFIJTLJLJRLTWLGARF7M3RXDO","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":"733855680f4573d96021f97317e8afec874982bd21eb09cb5d4e1d3301c2bfe8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2008-05-14T17:03:37Z","title_canon_sha256":"2cbe437458c26ba0dbb29fe20f7cb92519af4dc359fe9e1bbac1f68756312c8e"},"schema_version":"1.0","source":{"id":"0805.2087","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.2087","created_at":"2026-05-18T04:39:17Z"},{"alias_kind":"arxiv_version","alias_value":"0805.2087v4","created_at":"2026-05-18T04:39:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.2087","created_at":"2026-05-18T04:39:17Z"},{"alias_kind":"pith_short_12","alias_value":"OWFIJTLJLJRL","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"OWFIJTLJLJRLTWLG","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"OWFIJTLJ","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:59e0fc170f9276c383af8d9cef239e44a2a0f51f9c7463edb1104bbe125b2d09","target":"graph","created_at":"2026-05-18T04:39:17Z","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":"Fedorchuk's fully closed (continuous) maps and resolutions are applied in constructions of non-metrizable higher-dimensional analogues of Anderson, Choquet, and Cook's continua. Certain theorems on dimension-lowering maps are proved for inductive dimensions and fully closed maps from spaces that need not be hereditarily normal, and some examples of continua have non-coinciding dimensions.","authors_text":"Jerzy Krzempek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2008-05-14T17:03:37Z","title":"Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.2087","kind":"arxiv","version":4},"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":"sha256:72de13f599977822ad766fcb153d3c406024623a9f68df9be4dbc9bdd5d532fc","target":"record","created_at":"2026-05-18T04:39:17Z","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":"733855680f4573d96021f97317e8afec874982bd21eb09cb5d4e1d3301c2bfe8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2008-05-14T17:03:37Z","title_canon_sha256":"2cbe437458c26ba0dbb29fe20f7cb92519af4dc359fe9e1bbac1f68756312c8e"},"schema_version":"1.0","source":{"id":"0805.2087","kind":"arxiv","version":4}},"canonical_sha256":"758a84cd695a62b9d966044bf66e371b8fbcdac000aae0e2ef383366eff81722","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"758a84cd695a62b9d966044bf66e371b8fbcdac000aae0e2ef383366eff81722","first_computed_at":"2026-05-18T04:39:17.147049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:17.147049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7CvCRb0IxgHrEJpDjxVQYlMbAu/HtTWdrwfHeVmlDL0mGIH8v+lSs34+cVxPip7nzpGNHT49voIVo9Z/70B/DA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:17.147814Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.2087","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72de13f599977822ad766fcb153d3c406024623a9f68df9be4dbc9bdd5d532fc","sha256:59e0fc170f9276c383af8d9cef239e44a2a0f51f9c7463edb1104bbe125b2d09"],"state_sha256":"1f84cec78afdf28d4ddeb1fc7840c4aae0c6132679bbd43f411104dd43f6ef4a"}