{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CZAEVCR77ZP2MRIX2CNY6ET6S7","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":"71accff0292864328e0d8cc826c381eb5125ec1a04ad26ff3b99c58b527d56c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-04-21T08:03:40Z","title_canon_sha256":"a6d50e42aded2e717da0f1b230a7610d5d0ee1addd4eae8bd1c6aa9a93ae8b08"},"schema_version":"1.0","source":{"id":"1504.05326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05326","created_at":"2026-05-18T02:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05326v1","created_at":"2026-05-18T02:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05326","created_at":"2026-05-18T02:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"CZAEVCR77ZP2","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CZAEVCR77ZP2MRIX","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CZAEVCR7","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:7a814a56eb7435ef075a3d4fa9096d1927999de8530deea0e229d57da35cba7d","target":"graph","created_at":"2026-05-18T02:18:14Z","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 apply Neeman's method of forcing with side conditions to show that PFA does not imply the precipitousness of the nonstationary ideal on $\\omega_1$.","authors_text":"Boban Velickovic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-04-21T08:03:40Z","title":"PFA and precipitousness of the nonstationary ideal"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05326","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":"sha256:5119ee9acfb8cd020bcc559eafd716f382437560ecf796027da265198d312452","target":"record","created_at":"2026-05-18T02:18:14Z","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":"71accff0292864328e0d8cc826c381eb5125ec1a04ad26ff3b99c58b527d56c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-04-21T08:03:40Z","title_canon_sha256":"a6d50e42aded2e717da0f1b230a7610d5d0ee1addd4eae8bd1c6aa9a93ae8b08"},"schema_version":"1.0","source":{"id":"1504.05326","kind":"arxiv","version":1}},"canonical_sha256":"16404a8a3ffe5fa64517d09b8f127e97f55be9eb628ffc9f8c9debf01450ba3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16404a8a3ffe5fa64517d09b8f127e97f55be9eb628ffc9f8c9debf01450ba3e","first_computed_at":"2026-05-18T02:18:14.528880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:14.528880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JFov7O+jaN5txTCBS1KwZJcFMbO6atPxdmJhDwABHLkzEfIFf9/A7xJAm/JEhqjNVPLE0YyzpceAfmGWPET7Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:14.529322Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5119ee9acfb8cd020bcc559eafd716f382437560ecf796027da265198d312452","sha256:7a814a56eb7435ef075a3d4fa9096d1927999de8530deea0e229d57da35cba7d"],"state_sha256":"3b67bfe37745851eeafd4556c005c1c1ab725db7e521053e52c8139ed8cf15ac"}