{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4J6IP7UOOSYA7P53WIR3DXCSYW","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":"2a6b38eb930327c65f2eadc579946f8fad571e240703336837c67e9b37f76f98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-10-10T14:03:29Z","title_canon_sha256":"fbfa78e286459f1bd1450f1734da1f33dfad6855eef8166a2fd5f9ad815f60fa"},"schema_version":"1.0","source":{"id":"1510.02937","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02937","created_at":"2026-05-18T01:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02937v1","created_at":"2026-05-18T01:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02937","created_at":"2026-05-18T01:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"4J6IP7UOOSYA","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4J6IP7UOOSYA7P53","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4J6IP7UO","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:fe4020693db1c2f4015d6ed1832e0582164524fbf3094d1e178588eee8fa2381","target":"graph","created_at":"2026-05-18T01:30:26Z","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":"Starting from large cardinals we construct a pair $V_1\\subseteq V_2$ of models of $ZFC$ with the same cardinals and cofinalities such that $GCH$ holds in $V_1$ and fails everywhere in $V_2$.","authors_text":"Mohammad Golshani, Sy David Friedman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-10-10T14:03:29Z","title":"Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02937","kind":"arxiv","version":1},"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:d6ebc9d531e329a9c99d131e03aea9d1f63ce30ac7db3836c300e156824bfd88","target":"record","created_at":"2026-05-18T01:30:26Z","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":"2a6b38eb930327c65f2eadc579946f8fad571e240703336837c67e9b37f76f98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-10-10T14:03:29Z","title_canon_sha256":"fbfa78e286459f1bd1450f1734da1f33dfad6855eef8166a2fd5f9ad815f60fa"},"schema_version":"1.0","source":{"id":"1510.02937","kind":"arxiv","version":1}},"canonical_sha256":"e27c87fe8e74b00fbfbbb223b1dc52c58ea4b37a98a7946dd3ca7ae68cbb939e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e27c87fe8e74b00fbfbbb223b1dc52c58ea4b37a98a7946dd3ca7ae68cbb939e","first_computed_at":"2026-05-18T01:30:26.500973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:26.500973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ofO/2Izp3bEPetZA2DRcmh7IQAoBUVV045VaJSQniXWfSssQCoSUQXX3cpV4deAHjs9DsWFd4G/SrDrY1mHYCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:26.501721Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02937","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6ebc9d531e329a9c99d131e03aea9d1f63ce30ac7db3836c300e156824bfd88","sha256:fe4020693db1c2f4015d6ed1832e0582164524fbf3094d1e178588eee8fa2381"],"state_sha256":"a71aadfedf8b7e6071bef68c3a9ab5b5377b81e0ac79fa5e13c516b747b82056"}