{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:B3IMXTRXJKZ2PYPC4AEHVKVBT2","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":"b32f502d23cb0d7855a74b8d0840274dc1b1751af246cd3b5a831d1230fc94d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-11-13T17:34:41Z","title_canon_sha256":"b590c2af7588888e0b60f9f659e0cd87cda370593a9abd40eb74608d5426eecf"},"schema_version":"1.0","source":{"id":"1811.05426","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.05426","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"arxiv_version","alias_value":"1811.05426v1","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05426","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"pith_short_12","alias_value":"B3IMXTRXJKZ2","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"B3IMXTRXJKZ2PYPC","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"B3IMXTRX","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:b0f26a5095202e4164cc2758859873236f39bf7d31c6c3aff1d447a66659abbf","target":"graph","created_at":"2026-05-18T00:00:46Z","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 prove some iteration theorems for a certain class of $\\kappa^+$-cc forcing posets.","authors_text":"Itay Neeman, James Cummings, Mirna D\\v{z}amonja","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-11-13T17:34:41Z","title":"Iteration of strongly $\\kappa^+$-cc forcing posets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05426","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:d5ad78f469c7c5569d70c335ff9f5f7c1e6a2322aef43ec887715901c811dc47","target":"record","created_at":"2026-05-18T00:00:46Z","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":"b32f502d23cb0d7855a74b8d0840274dc1b1751af246cd3b5a831d1230fc94d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-11-13T17:34:41Z","title_canon_sha256":"b590c2af7588888e0b60f9f659e0cd87cda370593a9abd40eb74608d5426eecf"},"schema_version":"1.0","source":{"id":"1811.05426","kind":"arxiv","version":1}},"canonical_sha256":"0ed0cbce374ab3a7e1e2e0087aaaa19eb77e060f80144bfc8c31453849d79b59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ed0cbce374ab3a7e1e2e0087aaaa19eb77e060f80144bfc8c31453849d79b59","first_computed_at":"2026-05-18T00:00:46.179350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:46.179350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C2r78ve6BhrHCavPKjDLiJX2Im8TH/G6bnw+9dKbzCeN9kNxIiYuC21uMaeZHCZ4H8gPohGCD/+QOCfslIkgDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:46.180002Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.05426","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5ad78f469c7c5569d70c335ff9f5f7c1e6a2322aef43ec887715901c811dc47","sha256:b0f26a5095202e4164cc2758859873236f39bf7d31c6c3aff1d447a66659abbf"],"state_sha256":"155638d41ac98e9bdf0c5f64f1144af0c679f2ef42d9c6ec5f5dfb7e6fb980b1"}