{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TJELHYF6RUX5UQVQ4YIYSOYATY","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":"a835ffa8f729039e5c3131db61b7abd7e8ce17e58bae7031ec2f61a6bdfa7a3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-17T02:01:01Z","title_canon_sha256":"bcce0604385b864a1a1571fd0398a2a817df55d3aae22df38f79eb6969117f61"},"schema_version":"1.0","source":{"id":"1406.4217","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4217","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4217v2","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4217","created_at":"2026-05-18T00:44:37Z"},{"alias_kind":"pith_short_12","alias_value":"TJELHYF6RUX5","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TJELHYF6RUX5UQVQ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TJELHYF6","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:004654d7028fb424acf44c307981eb7833eee88db1cc4cd86f3e9a4583d88295","target":"graph","created_at":"2026-05-18T00:44:37Z","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":"This article continues Roslanowski and Shelah math.LO/9906024 and 1105.6049 We introduce here yet another property of (<lambda)-strategically complete forcing notions which implies that their lambda-support iterations do not collapse lambda^+.","authors_text":"Andrzej Roslanowski, Saharon Shelah","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-17T02:01:01Z","title":"The last forcing standing with diamonds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4217","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":"sha256:0f03a9221e68a96c4f2bdab86d7ba1ef85c7d95681af31ed139850a22bb2b559","target":"record","created_at":"2026-05-18T00:44:37Z","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":"a835ffa8f729039e5c3131db61b7abd7e8ce17e58bae7031ec2f61a6bdfa7a3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-06-17T02:01:01Z","title_canon_sha256":"bcce0604385b864a1a1571fd0398a2a817df55d3aae22df38f79eb6969117f61"},"schema_version":"1.0","source":{"id":"1406.4217","kind":"arxiv","version":2}},"canonical_sha256":"9a48b3e0be8d2fda42b0e611893b009e13078866ef6373c83275639adecbccdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a48b3e0be8d2fda42b0e611893b009e13078866ef6373c83275639adecbccdd","first_computed_at":"2026-05-18T00:44:37.456883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:37.456883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vBXGJDU+SD7jTtVJKvPcC1QqeceW50IB3rEnrgSz//y7PLzmojPFcOh9rph6f0BPsvD+DeR3TX/t96ZNZXydAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:37.457473Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.4217","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f03a9221e68a96c4f2bdab86d7ba1ef85c7d95681af31ed139850a22bb2b559","sha256:004654d7028fb424acf44c307981eb7833eee88db1cc4cd86f3e9a4583d88295"],"state_sha256":"0d0e8c5bf0e3242d7f45787152b32504b18749528b454f90a2ad36908bd17b86"}