{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:SEZPCON5KNQU64FY4DUPNFAHJZ","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":"ea31ca63ab8c5640cf73bdfd8cd9a94b99cf2a18e7a555b0b700d52f08b3173a","cross_cats_sorted":["math.CA","math.GN"],"license":"","primary_cat":"math.LO","submitted_at":"2000-10-07T17:12:50Z","title_canon_sha256":"8a99346f2fd05983802c929e1347101278bbc5f6b2f1321b087ab6313b660fd3"},"schema_version":"1.0","source":{"id":"math/0010070","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0010070","created_at":"2026-05-18T03:37:27Z"},{"alias_kind":"arxiv_version","alias_value":"math/0010070v3","created_at":"2026-05-18T03:37:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0010070","created_at":"2026-05-18T03:37:27Z"},{"alias_kind":"pith_short_12","alias_value":"SEZPCON5KNQU","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"SEZPCON5KNQU64FY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"SEZPCON5","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:088eb8d9197f79723ae5982fe4a112577b1643ad75e133787b70b64859c80b09","target":"graph","created_at":"2026-05-18T03:37:27Z","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":"Using forcing with measured creatures we build a universe of set theory in which:\n  (a) every sup-measurable function f:RxR-->R is measurable, and\n  (b) every function f:R-->R is continuous on a non-measurable set.\n  This answers a question of Balcerzak, Ciesielski and Kharazishvili and von Weizsacker's problem (see Fremlin's list of problems).","authors_text":"Andrzej Roslanowski, Saharon Shelah","cross_cats":["math.CA","math.GN"],"headline":"","license":"","primary_cat":"math.LO","submitted_at":"2000-10-07T17:12:50Z","title":"Measured creatures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0010070","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":"sha256:05f120c9493b182a4061277d5cf5210b5c575842077ceb896db9a86132d18196","target":"record","created_at":"2026-05-18T03:37:27Z","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":"ea31ca63ab8c5640cf73bdfd8cd9a94b99cf2a18e7a555b0b700d52f08b3173a","cross_cats_sorted":["math.CA","math.GN"],"license":"","primary_cat":"math.LO","submitted_at":"2000-10-07T17:12:50Z","title_canon_sha256":"8a99346f2fd05983802c929e1347101278bbc5f6b2f1321b087ab6313b660fd3"},"schema_version":"1.0","source":{"id":"math/0010070","kind":"arxiv","version":3}},"canonical_sha256":"9132f139bd53614f70b8e0e8f694074e5eb1cd97f629e4a0fd63f909dbf71b02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9132f139bd53614f70b8e0e8f694074e5eb1cd97f629e4a0fd63f909dbf71b02","first_computed_at":"2026-05-18T03:37:27.262404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:27.262404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kVyctRXgpEMuAI14yrkCYPNH+9fkqZji7zWJAALcaDTUaKVL1QcmtHGK7xgLNg4COA+j4EJWzy1HRUZqGEaEBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:27.262845Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0010070","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05f120c9493b182a4061277d5cf5210b5c575842077ceb896db9a86132d18196","sha256:088eb8d9197f79723ae5982fe4a112577b1643ad75e133787b70b64859c80b09"],"state_sha256":"cf1cd1083c2bf5a02dfc0164a29168d74a5d16b415147fdca4dd33144125e440"}