{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FBTW7VHNXRUG4JK67RCXE2KQXI","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":"1e97761a9e325c21dafc0680049cd2838f9a40977dceef3f1b1104b743c5c73e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-02-17T20:56:43Z","title_canon_sha256":"aaca414c7b168d83764c877c5402fd62d4954d849fd4682e17ca415efa6e4d7a"},"schema_version":"1.0","source":{"id":"1202.4018","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4018","created_at":"2026-05-18T01:10:41Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4018v2","created_at":"2026-05-18T01:10:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4018","created_at":"2026-05-18T01:10:41Z"},{"alias_kind":"pith_short_12","alias_value":"FBTW7VHNXRUG","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"FBTW7VHNXRUG4JK6","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"FBTW7VHN","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:11f5d336fc3378e23b45a4bf625648978ab086f017ae57a12d9d2764f1ca3650","target":"graph","created_at":"2026-05-18T01:10:41Z","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, assuming Souslin's Hypothesis, that each uncountable subspace of each zero-dimensional monotonically normal compact space contains an uncountable subset of the real line with either the metric, the Sorgenfrey, or the discrete topology.","authors_text":"Ahmad Farhat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-02-17T20:56:43Z","title":"The basis problem for subspaces of monotonically normal compacta"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4018","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":"sha256:9095bac26c7f94db29a275889651dd18837aed9e7801720153cb563db9ab17df","target":"record","created_at":"2026-05-18T01:10:41Z","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":"1e97761a9e325c21dafc0680049cd2838f9a40977dceef3f1b1104b743c5c73e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-02-17T20:56:43Z","title_canon_sha256":"aaca414c7b168d83764c877c5402fd62d4954d849fd4682e17ca415efa6e4d7a"},"schema_version":"1.0","source":{"id":"1202.4018","kind":"arxiv","version":2}},"canonical_sha256":"28676fd4edbc686e255efc45726950ba0c703253a297a30975f0393c94a2947d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28676fd4edbc686e255efc45726950ba0c703253a297a30975f0393c94a2947d","first_computed_at":"2026-05-18T01:10:41.815808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:41.815808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/2fZEFJevlUg4KFOV27i/3jDIGDzwT77ntqVRmeOdBkMqsDK7tI1bQdVDqUb0aZFMT1+yGXgJB8Cm4PpEEGPAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:41.816212Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4018","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9095bac26c7f94db29a275889651dd18837aed9e7801720153cb563db9ab17df","sha256:11f5d336fc3378e23b45a4bf625648978ab086f017ae57a12d9d2764f1ca3650"],"state_sha256":"c27d2e3b1441b69fe6bd07c908fa4038d7627cb2b874bba9a5150da52a47135f"}