{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:DO6V323QS3CI6UPRDQELBFBQWE","short_pith_number":"pith:DO6V323Q","schema_version":"1.0","canonical_sha256":"1bbd5deb7096c48f51f11c08b09430b118f0f03d88fd4451619902d6d0cdc97d","source":{"kind":"arxiv","id":"1801.05939","version":1},"attestation_state":"computed","paper":{"title":"A secret sharing scheme on p^2 -dimensional quantum system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Chen-Ming Bai, Hai-Yan Bai, Na Hao, Zhi-Hui Li","submitted_at":"2018-01-18T05:13:33Z","abstract_excerpt":"In this paper, we give the mutually unbiased bases on the p^2 -dimensional quantum system where p is an odd prime number, and construct the corresponding unitary transformation based on the properties of these mutually unbiased bases. Then, we construct a (N,N) threshold secret sharing scheme using unitary transformation between these mutually unbiased bases, and analyze the scheme's security by several ways, for example, intercept-and-resend attack, entangle-and-measure attack, Trojan horse attack, and so on. Using our method, we construct a single-particle quantum protocol involving only one"},"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":"1801.05939","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-18T05:13:33Z","cross_cats_sorted":[],"title_canon_sha256":"89feb4e7370ef7958dc53a6796c3b2fc52afcf2a546571bd0274b63526fa4547","abstract_canon_sha256":"809205f3b35cec5126b1c0a7562bed7261063ec2d95af92e4d686b0cfdb1dd92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:36.047580Z","signature_b64":"eqhQxpNdFjkWcU14/Lh5ECnvD04hOTh2Xgrb0ZdYviwlMdLo5Y4jom0aoz8iZlTQov/NiL83hV2DQrLAZaNtBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1bbd5deb7096c48f51f11c08b09430b118f0f03d88fd4451619902d6d0cdc97d","last_reissued_at":"2026-05-18T00:25:36.046824Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:36.046824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A secret sharing scheme on p^2 -dimensional quantum system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Chen-Ming Bai, Hai-Yan Bai, Na Hao, Zhi-Hui Li","submitted_at":"2018-01-18T05:13:33Z","abstract_excerpt":"In this paper, we give the mutually unbiased bases on the p^2 -dimensional quantum system where p is an odd prime number, and construct the corresponding unitary transformation based on the properties of these mutually unbiased bases. Then, we construct a (N,N) threshold secret sharing scheme using unitary transformation between these mutually unbiased bases, and analyze the scheme's security by several ways, for example, intercept-and-resend attack, entangle-and-measure attack, Trojan horse attack, and so on. Using our method, we construct a single-particle quantum protocol involving only one"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05939","kind":"arxiv","version":1},"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":"1801.05939","created_at":"2026-05-18T00:25:36.046934+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.05939v1","created_at":"2026-05-18T00:25:36.046934+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05939","created_at":"2026-05-18T00:25:36.046934+00:00"},{"alias_kind":"pith_short_12","alias_value":"DO6V323QS3CI","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"DO6V323QS3CI6UPR","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"DO6V323Q","created_at":"2026-05-18T12:32:19.392346+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/DO6V323QS3CI6UPRDQELBFBQWE","json":"https://pith.science/pith/DO6V323QS3CI6UPRDQELBFBQWE.json","graph_json":"https://pith.science/api/pith-number/DO6V323QS3CI6UPRDQELBFBQWE/graph.json","events_json":"https://pith.science/api/pith-number/DO6V323QS3CI6UPRDQELBFBQWE/events.json","paper":"https://pith.science/paper/DO6V323Q"},"agent_actions":{"view_html":"https://pith.science/pith/DO6V323QS3CI6UPRDQELBFBQWE","download_json":"https://pith.science/pith/DO6V323QS3CI6UPRDQELBFBQWE.json","view_paper":"https://pith.science/paper/DO6V323Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.05939&json=true","fetch_graph":"https://pith.science/api/pith-number/DO6V323QS3CI6UPRDQELBFBQWE/graph.json","fetch_events":"https://pith.science/api/pith-number/DO6V323QS3CI6UPRDQELBFBQWE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DO6V323QS3CI6UPRDQELBFBQWE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DO6V323QS3CI6UPRDQELBFBQWE/action/storage_attestation","attest_author":"https://pith.science/pith/DO6V323QS3CI6UPRDQELBFBQWE/action/author_attestation","sign_citation":"https://pith.science/pith/DO6V323QS3CI6UPRDQELBFBQWE/action/citation_signature","submit_replication":"https://pith.science/pith/DO6V323QS3CI6UPRDQELBFBQWE/action/replication_record"}},"created_at":"2026-05-18T00:25:36.046934+00:00","updated_at":"2026-05-18T00:25:36.046934+00:00"}