{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:K2C57VVGN776IEW63CDXOGKKD2","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":"77870eeeb932b8b197ee5064457d8911bddd984e8514fc10703b5f1e5c5b4c91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-04-08T12:59:10Z","title_canon_sha256":"bb3433c4980be70ee40e89a574bd4370e87d5978fb750f2c8692a60c8815d648"},"schema_version":"1.0","source":{"id":"1404.2111","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2111","created_at":"2026-05-18T00:46:59Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2111v4","created_at":"2026-05-18T00:46:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2111","created_at":"2026-05-18T00:46:59Z"},{"alias_kind":"pith_short_12","alias_value":"K2C57VVGN776","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"K2C57VVGN776IEW6","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"K2C57VVG","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:a2dc187ac23d3b836ac796da8f95c61fb1ed2bac0208675b15227dc36a2b21b7","target":"graph","created_at":"2026-05-18T00:46:59Z","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":"The resurrection axioms are forcing axioms introduced recently by Hamkins and Johnstone, developing on ideas of Chalons and Velickovi\\'c. We introduce a stronger form of resurrection axioms (the \\emph{iterated} resurrection axioms $\\textrm{RA}_\\alpha(\\Gamma)$ for a class of forcings $\\Gamma$ and a given ordinal $\\alpha$), and show that $\\textrm{RA}_\\omega(\\Gamma)$ implies generic absoluteness for the first-order theory of $H_{\\gamma^+}$ with respect to forcings in $\\Gamma$ preserving the axiom, where $\\gamma=\\gamma_\\Gamma$ is a cardinal which depends on $\\Gamma$ ($\\gamma_\\Gamma=\\omega_1$ if $\\","authors_text":"Giorgio Audrito, Matteo Viale","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-04-08T12:59:10Z","title":"Absoluteness via Resurrection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2111","kind":"arxiv","version":4},"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:c4a0e564dfb230178ed00ea00e44c254ef95094913f1da26e669c932dd0a8302","target":"record","created_at":"2026-05-18T00:46:59Z","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":"77870eeeb932b8b197ee5064457d8911bddd984e8514fc10703b5f1e5c5b4c91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-04-08T12:59:10Z","title_canon_sha256":"bb3433c4980be70ee40e89a574bd4370e87d5978fb750f2c8692a60c8815d648"},"schema_version":"1.0","source":{"id":"1404.2111","kind":"arxiv","version":4}},"canonical_sha256":"5685dfd6a66fffe412ded88777194a1eb80aff46506838ccc11a212cfb98926f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5685dfd6a66fffe412ded88777194a1eb80aff46506838ccc11a212cfb98926f","first_computed_at":"2026-05-18T00:46:59.981104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:59.981104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b54+F0m6vga/LpiL8QB28iSjiN2rddhmcdKzWacL/T+y7sH9uOeBs/in4jXWd+IYGmo/qn442v3YvXdmCRTIBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:59.981976Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.2111","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4a0e564dfb230178ed00ea00e44c254ef95094913f1da26e669c932dd0a8302","sha256:a2dc187ac23d3b836ac796da8f95c61fb1ed2bac0208675b15227dc36a2b21b7"],"state_sha256":"faed6001c5a1f2f650cd1533f37420f1975e24a4d85f8d4228d13e702d4704f2"}