{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GJBJJKIAIFBNUTSHR5KHISGMBK","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":"73045a4e6cc21165a36facb7ac0e046ab0d25224cc3823e71e2f0a34db1d622c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-09-17T10:43:03Z","title_canon_sha256":"bd5c57f61f93181768ace95a6953b831b08d7db28c3397bd0864d2c257754963"},"schema_version":"1.0","source":{"id":"1409.4940","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.4940","created_at":"2026-05-18T02:42:38Z"},{"alias_kind":"arxiv_version","alias_value":"1409.4940v1","created_at":"2026-05-18T02:42:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.4940","created_at":"2026-05-18T02:42:38Z"},{"alias_kind":"pith_short_12","alias_value":"GJBJJKIAIFBN","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GJBJJKIAIFBNUTSH","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GJBJJKIA","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:0fcead9c7d3373c4bc20f6481f5197560868a495718f92dd36827bc24c29e7a4","target":"graph","created_at":"2026-05-18T02:42:38Z","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 article uses two examples to explore the statement that, contrary to the common wisdom, the properties of singular cardinals are actually more intuitive than those of the regular ones.","authors_text":"Mirna D\\v{z}amonja","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-09-17T10:43:03Z","title":"The singular world of singular cardinals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.4940","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:c562949ad133633db3a8f09d62c42870a66abeea0cab6ee160e3d7b08180dc80","target":"record","created_at":"2026-05-18T02:42:38Z","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":"73045a4e6cc21165a36facb7ac0e046ab0d25224cc3823e71e2f0a34db1d622c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-09-17T10:43:03Z","title_canon_sha256":"bd5c57f61f93181768ace95a6953b831b08d7db28c3397bd0864d2c257754963"},"schema_version":"1.0","source":{"id":"1409.4940","kind":"arxiv","version":1}},"canonical_sha256":"324294a9004142da4e478f547448cc0a8888ee9108f027b7bcd708ad7c239537","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"324294a9004142da4e478f547448cc0a8888ee9108f027b7bcd708ad7c239537","first_computed_at":"2026-05-18T02:42:38.286061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:38.286061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kbNTSwxBYFM2hv23nbe2WBQnFmeTrVl9HgzaEtmBFTzqfa6TZo4MRLpbT3P+HA2fAwT8lJr6KtI02YYDNKALCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:38.286853Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.4940","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c562949ad133633db3a8f09d62c42870a66abeea0cab6ee160e3d7b08180dc80","sha256:0fcead9c7d3373c4bc20f6481f5197560868a495718f92dd36827bc24c29e7a4"],"state_sha256":"d0164a27ff2b96b07954775dd08b9c96ea44ece00f7751f4420f738e09a38a1f"}