{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OKMKGNW5SGMZKPZW7DBKPTWOT3","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":"8d874f6fe10eea5ee4c74383c9d5b9cdbd658b30e9f0eafbac73930f4f2beb90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-11-24T20:47:29Z","title_canon_sha256":"fc3d741f5a6d1155e22a163f4434a3b20c3fd54c38a696abd7026da0ae21a4d0"},"schema_version":"1.0","source":{"id":"1411.6608","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6608","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6608v3","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6608","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"OKMKGNW5SGMZ","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"OKMKGNW5SGMZKPZW","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"OKMKGNW5","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:c1218a1dca45048553ce60b409b9472edfc237da17575cb5918f0ed5664b3623","target":"graph","created_at":"2026-05-18T00:37:54Z","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":"Colbeck (Thesis, 2006) proposed using Bell inequality violations to generate certified random numbers. While full quantum-security proofs have been given, it remains a major open problem to identify the broadest class of Bell inequalities and lowest performance requirements to achieve such security. In this paper, working within the broad class of spot-checking protocols, we prove exactly which Bell inequality violations can be used to achieve full security. Our result greatly improves the known noise tolerance for secure randomness expansion: for the commonly used CHSH game, full security was","authors_text":"Carl A. Miller, Yaoyun Shi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-11-24T20:47:29Z","title":"Universal security for randomness expansion from the spot-checking protocol"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6608","kind":"arxiv","version":3},"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:b54e2f4227c32079126c248fbc6e21d76997e4b26bcb44731cdc31e71992ab86","target":"record","created_at":"2026-05-18T00:37:54Z","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":"8d874f6fe10eea5ee4c74383c9d5b9cdbd658b30e9f0eafbac73930f4f2beb90","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-11-24T20:47:29Z","title_canon_sha256":"fc3d741f5a6d1155e22a163f4434a3b20c3fd54c38a696abd7026da0ae21a4d0"},"schema_version":"1.0","source":{"id":"1411.6608","kind":"arxiv","version":3}},"canonical_sha256":"7298a336dd9199953f36f8c2a7cece9ecf4e4dcdddd29d60900521ac0a3d6512","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7298a336dd9199953f36f8c2a7cece9ecf4e4dcdddd29d60900521ac0a3d6512","first_computed_at":"2026-05-18T00:37:54.985204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:54.985204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r8odM1Ap2YsEkr74AxiVoe+TMFQQnBYMc8teP5+Sw9gS9ry9YJoViW4mGjDrT1PibBYicMr7RMPyyjOPKohKBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:54.985784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6608","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b54e2f4227c32079126c248fbc6e21d76997e4b26bcb44731cdc31e71992ab86","sha256:c1218a1dca45048553ce60b409b9472edfc237da17575cb5918f0ed5664b3623"],"state_sha256":"15947656309f009ff998412d71d1a23fde88ef40be6f5b9e7b5cff9c9b079290"}