{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TZOQ5Z6FFK7VC6P7I5EFCXVAEX","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":"d389975cdded216857e35fe478ad52f542eb89a62415838870bb50e872935c67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-22T15:01:19Z","title_canon_sha256":"454c91d7a93f720476166e2e187633df55396791b88d8f8eebb0052011228db7"},"schema_version":"1.0","source":{"id":"1002.4083","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.4083","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1002.4083v2","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4083","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"TZOQ5Z6FFK7V","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"TZOQ5Z6FFK7VC6P7","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"TZOQ5Z6F","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:3020eb84b07b58d124b22a9c0acc78c75c19c23c15ce8fc21606e15daeb0c0b5","target":"graph","created_at":"2026-05-18T02:24:38Z","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":"In this paper, we consider continuous-variable quantum key distribution with a discrete modulation, either binary or quaternary. We establish the security of these protocols against the class of collective attacks that induce a linear quantum channel. In particular, all Gaussian attacks are taken into account, as well as linear attacks which add a non-Gaussian noise. We give lower bounds for the secret key rate using extremality properties of Gaussian states.","authors_text":"Anthony Leverrier, Philippe Grangier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-22T15:01:19Z","title":"Continuous-variable Quantum Key Distribution protocols with a discrete modulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4083","kind":"arxiv","version":2},"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":"sha256:9e207096a829d06e5c34cbef8693e560c7ce4c7aa002d0faad1c2752da71c207","target":"record","created_at":"2026-05-18T02:24:38Z","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":"d389975cdded216857e35fe478ad52f542eb89a62415838870bb50e872935c67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-22T15:01:19Z","title_canon_sha256":"454c91d7a93f720476166e2e187633df55396791b88d8f8eebb0052011228db7"},"schema_version":"1.0","source":{"id":"1002.4083","kind":"arxiv","version":2}},"canonical_sha256":"9e5d0ee7c52abf5179ff4748515ea025cf0ee0e202caafb9008552c1f4b51eac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e5d0ee7c52abf5179ff4748515ea025cf0ee0e202caafb9008552c1f4b51eac","first_computed_at":"2026-05-18T02:24:38.676413Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:38.676413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r+91P9Ne13Z+aH3IAehV242GZ9/+oF9LlKoIDjtXSYUi9BXMQi3EcjQ44M0ImEUzrKXjJRN4K8Gp6s2m1e8HAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:38.677124Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.4083","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e207096a829d06e5c34cbef8693e560c7ce4c7aa002d0faad1c2752da71c207","sha256:3020eb84b07b58d124b22a9c0acc78c75c19c23c15ce8fc21606e15daeb0c0b5"],"state_sha256":"90fb3b8ae016ad859da012fca2c2a374347992096be640030dbc1cc11169049a"}