{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EQRDTJCE7AKD5EFYAUXLRVRW4Z","short_pith_number":"pith:EQRDTJCE","canonical_record":{"source":{"id":"1301.7722","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-31T19:19:46Z","cross_cats_sorted":[],"title_canon_sha256":"2284acdc64760ad72ce226d036447910aa06868236cb68fa9edca385c1c12c12","abstract_canon_sha256":"57a32cd7d5b9774355c63c3c1abbb20a282dc514b870d49d7150f58807358df5"},"schema_version":"1.0"},"canonical_sha256":"242239a444f8143e90b8052eb8d636e6745d9b87ab2d6f71d57a074cadf8737f","source":{"kind":"arxiv","id":"1301.7722","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7722","created_at":"2026-05-18T02:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7722v3","created_at":"2026-05-18T02:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7722","created_at":"2026-05-18T02:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"EQRDTJCE7AKD","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EQRDTJCE7AKD5EFY","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EQRDTJCE","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EQRDTJCE7AKD5EFYAUXLRVRW4Z","target":"record","payload":{"canonical_record":{"source":{"id":"1301.7722","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-31T19:19:46Z","cross_cats_sorted":[],"title_canon_sha256":"2284acdc64760ad72ce226d036447910aa06868236cb68fa9edca385c1c12c12","abstract_canon_sha256":"57a32cd7d5b9774355c63c3c1abbb20a282dc514b870d49d7150f58807358df5"},"schema_version":"1.0"},"canonical_sha256":"242239a444f8143e90b8052eb8d636e6745d9b87ab2d6f71d57a074cadf8737f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:52.508271Z","signature_b64":"lXGtKeViTgqUns1eVUW08lnvQmJipFZ0Fym+f/K4MYbRZf1JkdN8bIOaf4bXZT54gjhtSAJQLFJvgJC3JfawBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"242239a444f8143e90b8052eb8d636e6745d9b87ab2d6f71d57a074cadf8737f","last_reissued_at":"2026-05-18T02:17:52.507585Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:52.507585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.7722","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fIknvKwAx/nKOUBrA06b4TOxWWl3L9vgDL89LiJohLUAWowdkr8gAJ4ZvdjRp08DNuZcyzqp8kizoOtMW+p8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:10:52.595690Z"},"content_sha256":"2a3297aad88cce055e4fad043e862abd686347d946f8ded04268fe198532c607","schema_version":"1.0","event_id":"sha256:2a3297aad88cce055e4fad043e862abd686347d946f8ded04268fe198532c607"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EQRDTJCE7AKD5EFYAUXLRVRW4Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust amplification of Santha-Vazirani sources with three devices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Marcin Pawlowski, Piotr Mironowicz, Rodrigo Gallego","submitted_at":"2013-01-31T19:19:46Z","abstract_excerpt":"We demonstrate that amplification of arbitrarily weak randomness is possible using quantum resources. We present a randomness amplification protocol that involves Bell experiments. We find a Bell inequality which can amplify arbitrarily weak randomness and give a detailed analysis of the protocol involving it. Our analysis includes finding a sufficient violation of Bell inequality as a function of the initial quality of randomness. It has a very important property that for any quality the required violation is strictly lower than possible to obtain using quantum resources. Among other things, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7722","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wKTBLsDgIgDML1vF9EFKzq/FuHXgC3eivQ6h8+rcdbyuEz01XenaEpRbHK7WnJIGvqwfa4P52OJz/9VYUXEwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:10:52.596059Z"},"content_sha256":"3b310f0f45b7c04a107cbc01fad7001fc7371dd9402309260c40eeaeb18db10b","schema_version":"1.0","event_id":"sha256:3b310f0f45b7c04a107cbc01fad7001fc7371dd9402309260c40eeaeb18db10b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQRDTJCE7AKD5EFYAUXLRVRW4Z/bundle.json","state_url":"https://pith.science/pith/EQRDTJCE7AKD5EFYAUXLRVRW4Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQRDTJCE7AKD5EFYAUXLRVRW4Z/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T03:10:52Z","links":{"resolver":"https://pith.science/pith/EQRDTJCE7AKD5EFYAUXLRVRW4Z","bundle":"https://pith.science/pith/EQRDTJCE7AKD5EFYAUXLRVRW4Z/bundle.json","state":"https://pith.science/pith/EQRDTJCE7AKD5EFYAUXLRVRW4Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQRDTJCE7AKD5EFYAUXLRVRW4Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EQRDTJCE7AKD5EFYAUXLRVRW4Z","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":"57a32cd7d5b9774355c63c3c1abbb20a282dc514b870d49d7150f58807358df5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-31T19:19:46Z","title_canon_sha256":"2284acdc64760ad72ce226d036447910aa06868236cb68fa9edca385c1c12c12"},"schema_version":"1.0","source":{"id":"1301.7722","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.7722","created_at":"2026-05-18T02:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"1301.7722v3","created_at":"2026-05-18T02:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7722","created_at":"2026-05-18T02:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"EQRDTJCE7AKD","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EQRDTJCE7AKD5EFY","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EQRDTJCE","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:3b310f0f45b7c04a107cbc01fad7001fc7371dd9402309260c40eeaeb18db10b","target":"graph","created_at":"2026-05-18T02:17:52Z","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 demonstrate that amplification of arbitrarily weak randomness is possible using quantum resources. We present a randomness amplification protocol that involves Bell experiments. We find a Bell inequality which can amplify arbitrarily weak randomness and give a detailed analysis of the protocol involving it. Our analysis includes finding a sufficient violation of Bell inequality as a function of the initial quality of randomness. It has a very important property that for any quality the required violation is strictly lower than possible to obtain using quantum resources. Among other things, ","authors_text":"Marcin Pawlowski, Piotr Mironowicz, Rodrigo Gallego","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-31T19:19:46Z","title":"Robust amplification of Santha-Vazirani sources with three devices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7722","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":"sha256:2a3297aad88cce055e4fad043e862abd686347d946f8ded04268fe198532c607","target":"record","created_at":"2026-05-18T02:17:52Z","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":"57a32cd7d5b9774355c63c3c1abbb20a282dc514b870d49d7150f58807358df5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-31T19:19:46Z","title_canon_sha256":"2284acdc64760ad72ce226d036447910aa06868236cb68fa9edca385c1c12c12"},"schema_version":"1.0","source":{"id":"1301.7722","kind":"arxiv","version":3}},"canonical_sha256":"242239a444f8143e90b8052eb8d636e6745d9b87ab2d6f71d57a074cadf8737f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"242239a444f8143e90b8052eb8d636e6745d9b87ab2d6f71d57a074cadf8737f","first_computed_at":"2026-05-18T02:17:52.507585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:52.507585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lXGtKeViTgqUns1eVUW08lnvQmJipFZ0Fym+f/K4MYbRZf1JkdN8bIOaf4bXZT54gjhtSAJQLFJvgJC3JfawBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:52.508271Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.7722","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a3297aad88cce055e4fad043e862abd686347d946f8ded04268fe198532c607","sha256:3b310f0f45b7c04a107cbc01fad7001fc7371dd9402309260c40eeaeb18db10b"],"state_sha256":"715cddb43fa5d4ca99791d5fa94c0bcfab675af411af38ef108501c6c0861f87"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8NtYHCGXlYiqVD/b4hMrRbR+XcxGzB2FxQ8uY2CRV6qB+9vM3eM1sOO+6r1OzYQu3QosRYc+LZ3w17l/ZrNGCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T03:10:52.598064Z","bundle_sha256":"e74a18e3b7234f9ee1050d1b501423e45962813874e51c158179e50c36433347"}}