{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:SEZPCON5KNQU64FY4DUPNFAHJZ","short_pith_number":"pith:SEZPCON5","schema_version":"1.0","canonical_sha256":"9132f139bd53614f70b8e0e8f694074e5eb1cd97f629e4a0fd63f909dbf71b02","source":{"kind":"arxiv","id":"math/0010070","version":3},"attestation_state":"computed","paper":{"title":"Measured creatures","license":"","headline":"","cross_cats":["math.CA","math.GN"],"primary_cat":"math.LO","authors_text":"Andrzej Roslanowski, Saharon Shelah","submitted_at":"2000-10-07T17:12:50Z","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)."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0010070","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.LO","submitted_at":"2000-10-07T17:12:50Z","cross_cats_sorted":["math.CA","math.GN"],"title_canon_sha256":"8a99346f2fd05983802c929e1347101278bbc5f6b2f1321b087ab6313b660fd3","abstract_canon_sha256":"ea31ca63ab8c5640cf73bdfd8cd9a94b99cf2a18e7a555b0b700d52f08b3173a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:27.262845Z","signature_b64":"kVyctRXgpEMuAI14yrkCYPNH+9fkqZji7zWJAALcaDTUaKVL1QcmtHGK7xgLNg4COA+j4EJWzy1HRUZqGEaEBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9132f139bd53614f70b8e0e8f694074e5eb1cd97f629e4a0fd63f909dbf71b02","last_reissued_at":"2026-05-18T03:37:27.262404Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:27.262404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Measured creatures","license":"","headline":"","cross_cats":["math.CA","math.GN"],"primary_cat":"math.LO","authors_text":"Andrzej Roslanowski, Saharon Shelah","submitted_at":"2000-10-07T17:12:50Z","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)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0010070","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0010070","created_at":"2026-05-18T03:37:27.262468+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0010070v3","created_at":"2026-05-18T03:37:27.262468+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0010070","created_at":"2026-05-18T03:37:27.262468+00:00"},{"alias_kind":"pith_short_12","alias_value":"SEZPCON5KNQU","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"SEZPCON5KNQU64FY","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"SEZPCON5","created_at":"2026-05-18T12:25:50.254431+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SEZPCON5KNQU64FY4DUPNFAHJZ","json":"https://pith.science/pith/SEZPCON5KNQU64FY4DUPNFAHJZ.json","graph_json":"https://pith.science/api/pith-number/SEZPCON5KNQU64FY4DUPNFAHJZ/graph.json","events_json":"https://pith.science/api/pith-number/SEZPCON5KNQU64FY4DUPNFAHJZ/events.json","paper":"https://pith.science/paper/SEZPCON5"},"agent_actions":{"view_html":"https://pith.science/pith/SEZPCON5KNQU64FY4DUPNFAHJZ","download_json":"https://pith.science/pith/SEZPCON5KNQU64FY4DUPNFAHJZ.json","view_paper":"https://pith.science/paper/SEZPCON5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0010070&json=true","fetch_graph":"https://pith.science/api/pith-number/SEZPCON5KNQU64FY4DUPNFAHJZ/graph.json","fetch_events":"https://pith.science/api/pith-number/SEZPCON5KNQU64FY4DUPNFAHJZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SEZPCON5KNQU64FY4DUPNFAHJZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SEZPCON5KNQU64FY4DUPNFAHJZ/action/storage_attestation","attest_author":"https://pith.science/pith/SEZPCON5KNQU64FY4DUPNFAHJZ/action/author_attestation","sign_citation":"https://pith.science/pith/SEZPCON5KNQU64FY4DUPNFAHJZ/action/citation_signature","submit_replication":"https://pith.science/pith/SEZPCON5KNQU64FY4DUPNFAHJZ/action/replication_record"}},"created_at":"2026-05-18T03:37:27.262468+00:00","updated_at":"2026-05-18T03:37:27.262468+00:00"}