{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:KMFQ5PXYDGPIRML6IXTXG3T4OG","short_pith_number":"pith:KMFQ5PXY","schema_version":"1.0","canonical_sha256":"530b0ebef8199e88b17e45e7736e7c7188d087a356eb857c360161c865b3a1cb","source":{"kind":"arxiv","id":"1304.8128","version":3},"attestation_state":"computed","paper":{"title":"Quantum secret sharing with continuous-variable cluster states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christian Weedbrook, Hoi-Kwan Lau","submitted_at":"2013-04-30T19:35:57Z","abstract_excerpt":"We extend the formalism of cluster state quantum secret sharing, as presented in Markham and Sanders [Phys. Rev. A 78, 042309 (2008)] and Keet et al. [Phy. Rev. A 82, 062315 (2010)], to the continuous-variable regime. We show that both classical and quantum information can be shared by distributing continuous-variable cluster states through either public or private channels. We find that the adversary structure is completely denied from the secret if the cluster state is infinitely squeezed, but some secret information would be leaked if a realistic finitely squeezed state is employed. We sugg"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1304.8128","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-04-30T19:35:57Z","cross_cats_sorted":[],"title_canon_sha256":"b31722441ec4966b1e81e41d44d9994bc1d235efbbbc0b16c613d81a62252f06","abstract_canon_sha256":"8b43c7237d2fff14888141d4c16267ad78cdf250967917d8e8829ebdff2183fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:36.819278Z","signature_b64":"LscKQOrLBnSmqtvQQdYGyrKnyyJs+67cufcNghtLODeO7sZany09grKsLLeTREuXUE14fPkCjRLoQ/s4g/bBCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"530b0ebef8199e88b17e45e7736e7c7188d087a356eb857c360161c865b3a1cb","last_reissued_at":"2026-05-18T03:10:36.818776Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:36.818776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum secret sharing with continuous-variable cluster states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Christian Weedbrook, Hoi-Kwan Lau","submitted_at":"2013-04-30T19:35:57Z","abstract_excerpt":"We extend the formalism of cluster state quantum secret sharing, as presented in Markham and Sanders [Phys. Rev. A 78, 042309 (2008)] and Keet et al. [Phy. Rev. A 82, 062315 (2010)], to the continuous-variable regime. We show that both classical and quantum information can be shared by distributing continuous-variable cluster states through either public or private channels. We find that the adversary structure is completely denied from the secret if the cluster state is infinitely squeezed, but some secret information would be leaked if a realistic finitely squeezed state is employed. We sugg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.8128","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1304.8128","created_at":"2026-05-18T03:10:36.818853+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.8128v3","created_at":"2026-05-18T03:10:36.818853+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.8128","created_at":"2026-05-18T03:10:36.818853+00:00"},{"alias_kind":"pith_short_12","alias_value":"KMFQ5PXYDGPI","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"KMFQ5PXYDGPIRML6","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"KMFQ5PXY","created_at":"2026-05-18T12:27:51.066281+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KMFQ5PXYDGPIRML6IXTXG3T4OG","json":"https://pith.science/pith/KMFQ5PXYDGPIRML6IXTXG3T4OG.json","graph_json":"https://pith.science/api/pith-number/KMFQ5PXYDGPIRML6IXTXG3T4OG/graph.json","events_json":"https://pith.science/api/pith-number/KMFQ5PXYDGPIRML6IXTXG3T4OG/events.json","paper":"https://pith.science/paper/KMFQ5PXY"},"agent_actions":{"view_html":"https://pith.science/pith/KMFQ5PXYDGPIRML6IXTXG3T4OG","download_json":"https://pith.science/pith/KMFQ5PXYDGPIRML6IXTXG3T4OG.json","view_paper":"https://pith.science/paper/KMFQ5PXY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.8128&json=true","fetch_graph":"https://pith.science/api/pith-number/KMFQ5PXYDGPIRML6IXTXG3T4OG/graph.json","fetch_events":"https://pith.science/api/pith-number/KMFQ5PXYDGPIRML6IXTXG3T4OG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KMFQ5PXYDGPIRML6IXTXG3T4OG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KMFQ5PXYDGPIRML6IXTXG3T4OG/action/storage_attestation","attest_author":"https://pith.science/pith/KMFQ5PXYDGPIRML6IXTXG3T4OG/action/author_attestation","sign_citation":"https://pith.science/pith/KMFQ5PXYDGPIRML6IXTXG3T4OG/action/citation_signature","submit_replication":"https://pith.science/pith/KMFQ5PXYDGPIRML6IXTXG3T4OG/action/replication_record"}},"created_at":"2026-05-18T03:10:36.818853+00:00","updated_at":"2026-05-18T03:10:36.818853+00:00"}