{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:RND4ONC63P442L4CNTTOYGL5O2","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":"7da7e3956fbae587a7ae92f3c7c54e1ed15d62f6e5738c90acf0da8a90a1c60b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2009-05-05T05:27:50Z","title_canon_sha256":"b144c25c6d8bba5253a469edb0fc9560e53618883a57716fa0a9ffdae324c250"},"schema_version":"1.0","source":{"id":"0905.0526","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.0526","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"arxiv_version","alias_value":"0905.0526v3","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.0526","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"pith_short_12","alias_value":"RND4ONC63P44","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RND4ONC63P442L4C","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RND4ONC6","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:546c18fac324e7475b1504327d7a487a685e66f47e8b0888d90c7cb443b4ed1f","target":"graph","created_at":"2026-05-18T02:58:03Z","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 show that there exist two proper creature forcings having a simple (Borel) definition, whose product is not proper. We also give a new condition ensuring properness of some forcings with norms.","authors_text":"Andrzej Roslanowski, Otmar Spinas, Saharon Shelah","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2009-05-05T05:27:50Z","title":"Nonproper Products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.0526","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:afe00464a5a34eb70e2e98fc77a0748322299f5b948d7001ec6a7231d04500d6","target":"record","created_at":"2026-05-18T02:58:03Z","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":"7da7e3956fbae587a7ae92f3c7c54e1ed15d62f6e5738c90acf0da8a90a1c60b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2009-05-05T05:27:50Z","title_canon_sha256":"b144c25c6d8bba5253a469edb0fc9560e53618883a57716fa0a9ffdae324c250"},"schema_version":"1.0","source":{"id":"0905.0526","kind":"arxiv","version":3}},"canonical_sha256":"8b47c7345edbf9cd2f826ce6ec197d7680e9df2ba3413434980fd69b11f16a7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b47c7345edbf9cd2f826ce6ec197d7680e9df2ba3413434980fd69b11f16a7d","first_computed_at":"2026-05-18T02:58:03.291781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:03.291781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lJrEoQfOv/eoQPmqGUn8Qf5/3zegVXyC0onduO6BnzBbUTL+MVnG70C9112BL6IgKLSsVP8j1DJUgedF/V1CDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:03.292471Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.0526","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afe00464a5a34eb70e2e98fc77a0748322299f5b948d7001ec6a7231d04500d6","sha256:546c18fac324e7475b1504327d7a487a685e66f47e8b0888d90c7cb443b4ed1f"],"state_sha256":"7a48313d0afd0f28215c5dae9ee92549a9bf0cf557ed56381654c29c8a5cb8f4"}