{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:OYJGVS3NBG3A4DJV3JUONGXV7R","short_pith_number":"pith:OYJGVS3N","schema_version":"1.0","canonical_sha256":"76126acb6d09b60e0d35da68e69af5fc7c11edf9a988dfc53e22fc565e67b3b7","source":{"kind":"arxiv","id":"1204.1072","version":3},"attestation_state":"computed","paper":{"title":"Generalized Semi-Quantum Secret Sharing Schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Vlad Gheorghiu","submitted_at":"2012-04-04T20:49:51Z","abstract_excerpt":"We investigate quantum secret sharing schemes constructed from $[[n,k,\\delta]]_D$ non-binary stabilizer quantum error correcting codes with carrier qudits of prime dimension $D$. We provide a systematic way of determining the access structure, which completely determines the forbidden and intermediate structures. We then show that the information available to the intermediate structure can be fully described and quantified by what we call the *information group*, a subgroup of the Pauli group of $k$ qudits, and employ this group structure to construct a method for hiding the information from t"},"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":"1204.1072","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-04T20:49:51Z","cross_cats_sorted":[],"title_canon_sha256":"7a497d8f0f76ab06f46bc07ec91544169aa5c5d7d258f6b9437c45245d2cddbb","abstract_canon_sha256":"bbf88ef7ba72a4bba75f0967fb53f84a4562e7bb83f3a912c3214b0e559a882f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:36.860833Z","signature_b64":"yP1KBfkyHdzONcc9NUc7yIQnG3daZXO5+XJhq7G+4pRORYJcfTmoTzIv+uWiu1hL27725Y/1rIIin3xhpfIpDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76126acb6d09b60e0d35da68e69af5fc7c11edf9a988dfc53e22fc565e67b3b7","last_reissued_at":"2026-05-18T03:55:36.860290Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:36.860290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Semi-Quantum Secret Sharing Schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Vlad Gheorghiu","submitted_at":"2012-04-04T20:49:51Z","abstract_excerpt":"We investigate quantum secret sharing schemes constructed from $[[n,k,\\delta]]_D$ non-binary stabilizer quantum error correcting codes with carrier qudits of prime dimension $D$. We provide a systematic way of determining the access structure, which completely determines the forbidden and intermediate structures. We then show that the information available to the intermediate structure can be fully described and quantified by what we call the *information group*, a subgroup of the Pauli group of $k$ qudits, and employ this group structure to construct a method for hiding the information from t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1072","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":"1204.1072","created_at":"2026-05-18T03:55:36.860386+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.1072v3","created_at":"2026-05-18T03:55:36.860386+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1072","created_at":"2026-05-18T03:55:36.860386+00:00"},{"alias_kind":"pith_short_12","alias_value":"OYJGVS3NBG3A","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"OYJGVS3NBG3A4DJV","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"OYJGVS3N","created_at":"2026-05-18T12:27:18.751474+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/OYJGVS3NBG3A4DJV3JUONGXV7R","json":"https://pith.science/pith/OYJGVS3NBG3A4DJV3JUONGXV7R.json","graph_json":"https://pith.science/api/pith-number/OYJGVS3NBG3A4DJV3JUONGXV7R/graph.json","events_json":"https://pith.science/api/pith-number/OYJGVS3NBG3A4DJV3JUONGXV7R/events.json","paper":"https://pith.science/paper/OYJGVS3N"},"agent_actions":{"view_html":"https://pith.science/pith/OYJGVS3NBG3A4DJV3JUONGXV7R","download_json":"https://pith.science/pith/OYJGVS3NBG3A4DJV3JUONGXV7R.json","view_paper":"https://pith.science/paper/OYJGVS3N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.1072&json=true","fetch_graph":"https://pith.science/api/pith-number/OYJGVS3NBG3A4DJV3JUONGXV7R/graph.json","fetch_events":"https://pith.science/api/pith-number/OYJGVS3NBG3A4DJV3JUONGXV7R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OYJGVS3NBG3A4DJV3JUONGXV7R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OYJGVS3NBG3A4DJV3JUONGXV7R/action/storage_attestation","attest_author":"https://pith.science/pith/OYJGVS3NBG3A4DJV3JUONGXV7R/action/author_attestation","sign_citation":"https://pith.science/pith/OYJGVS3NBG3A4DJV3JUONGXV7R/action/citation_signature","submit_replication":"https://pith.science/pith/OYJGVS3NBG3A4DJV3JUONGXV7R/action/replication_record"}},"created_at":"2026-05-18T03:55:36.860386+00:00","updated_at":"2026-05-18T03:55:36.860386+00:00"}