{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:RJ6OJAPMZVYRKB2JIV55B5LOCC","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":"28f2d3de8cebb75fd9167adcf06ed3275b3f68f8d1f277a68695fed36e3d39dc","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-12-03T08:56:44Z","title_canon_sha256":"1b62a5e4c96f78150402db439eeac7d8ea7e9d98b2d23c2c01b3319c5a941e9a"},"schema_version":"1.0","source":{"id":"quant-ph/0612018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0612018","created_at":"2026-05-18T03:47:09Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0612018v1","created_at":"2026-05-18T03:47:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0612018","created_at":"2026-05-18T03:47:09Z"},{"alias_kind":"pith_short_12","alias_value":"RJ6OJAPMZVYR","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"RJ6OJAPMZVYRKB2J","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"RJ6OJAPM","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:2750efd68364ab2a649c9f186e80230876bfe4d8b94aba24c8f1696e520ef043","target":"graph","created_at":"2026-05-18T03:47:09Z","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":"A circular quantum secret sharing protocol is proposed, which is useful and efficient when one of the parties of secret sharing is remote to the others who are in adjacent, especially the parties are more than three. We describe the process of this protocol and discuss its security when the quantum information carrying is polarized single photons running circularly. It will be shown that entanglement is not necessary for quantum secret sharing. Moreover, the theoretic efficiency is improved to approach 100% as almost all the instances can be used for generating the private key, and each photon","authors_text":"Fu-Guo Deng, Hong-Yu Zhou andGui Lu Long","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-12-03T08:56:44Z","title":"Circular quantum secret sharing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0612018","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:c3857ab47690fce2e8f364bf1b0184920eb5146b59361e1bb8f503476881f376","target":"record","created_at":"2026-05-18T03:47:09Z","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":"28f2d3de8cebb75fd9167adcf06ed3275b3f68f8d1f277a68695fed36e3d39dc","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-12-03T08:56:44Z","title_canon_sha256":"1b62a5e4c96f78150402db439eeac7d8ea7e9d98b2d23c2c01b3319c5a941e9a"},"schema_version":"1.0","source":{"id":"quant-ph/0612018","kind":"arxiv","version":1}},"canonical_sha256":"8a7ce481eccd71150749457bd0f56e108eb1612c0f8f00f151fffa05889a19e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a7ce481eccd71150749457bd0f56e108eb1612c0f8f00f151fffa05889a19e3","first_computed_at":"2026-05-18T03:47:09.275675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:47:09.275675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j5C6OPLuMqOTIZjSE3KGzMMwkr5saaaZc8BWUGTopZ1w4R7UxgBC7deWMm+lCQFfX+3cg7RfEoGzJLjnxN1VDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:47:09.276042Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0612018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3857ab47690fce2e8f364bf1b0184920eb5146b59361e1bb8f503476881f376","sha256:2750efd68364ab2a649c9f186e80230876bfe4d8b94aba24c8f1696e520ef043"],"state_sha256":"dbc16acfc6e3d588ba1f8bf640309fe1b528e5cba7d813cf0391406461e8d6f4"}