{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:KIESX6VQIPGTNGOR57UXBJAEQB","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":"5bd08a70c2c0d727cc261bcde534efbd803539992f13efa6e65da343b9ea42ea","cross_cats_sorted":[],"license":"","primary_cat":"math.LO","submitted_at":"2006-01-05T05:12:29Z","title_canon_sha256":"ed43c22e375898fee5f17ef8689c2bbcbb3d71a62025cbaf37edb4e5630e6fdd"},"schema_version":"1.0","source":{"id":"math/0601087","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601087","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601087v3","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601087","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"pith_short_12","alias_value":"KIESX6VQIPGT","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"KIESX6VQIPGTNGOR","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"KIESX6VQ","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:3e63197b8c1a7f9b80f7ff299f59819629f2d5757436c4a99d60bfd956707aef","target":"graph","created_at":"2026-05-18T01:08:50Z","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":"Solovay's random-real forcing (1971) is the standard way of producing real-valued measurable cardinals. Following questions of Fremlin, by giving a new construction, we show that there are combinatorial, measure-theoretic properties of Solovay's model that do not follow from the existence of real-valued measurability.","authors_text":"Noam Greenberg, Saharon Shelah, Saka\\'e Fuchino","cross_cats":[],"headline":"","license":"","primary_cat":"math.LO","submitted_at":"2006-01-05T05:12:29Z","title":"Models of real-valued measurability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601087","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:e483bbaea793e732e5e974a2f548dc58f16be350f279596860f5409d0eeaab05","target":"record","created_at":"2026-05-18T01:08:50Z","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":"5bd08a70c2c0d727cc261bcde534efbd803539992f13efa6e65da343b9ea42ea","cross_cats_sorted":[],"license":"","primary_cat":"math.LO","submitted_at":"2006-01-05T05:12:29Z","title_canon_sha256":"ed43c22e375898fee5f17ef8689c2bbcbb3d71a62025cbaf37edb4e5630e6fdd"},"schema_version":"1.0","source":{"id":"math/0601087","kind":"arxiv","version":3}},"canonical_sha256":"52092bfab043cd3699d1efe970a404805cf6f75078e298e6ca9e1dfe83e4275e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52092bfab043cd3699d1efe970a404805cf6f75078e298e6ca9e1dfe83e4275e","first_computed_at":"2026-05-18T01:08:50.683659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:50.683659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n7R4C/BfIxXxZOFf1GNawo3TP4+0dPm2bnyrakqA3BB10SWx08ywpeG7kEO8+2AxLdFqUSq0uGkBWhdXk4vtBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:50.684459Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0601087","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e483bbaea793e732e5e974a2f548dc58f16be350f279596860f5409d0eeaab05","sha256:3e63197b8c1a7f9b80f7ff299f59819629f2d5757436c4a99d60bfd956707aef"],"state_sha256":"3d3866344d220ae44ad01a245533fa7f87fa0df4e215b61bde982d5575fa1502"}