{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:JXFRHP4XLRFCOMH7ZRE2FUL4Y7","short_pith_number":"pith:JXFRHP4X","schema_version":"1.0","canonical_sha256":"4dcb13bf975c4a2730ffcc49a2d17cc7d5e96b2a6c561d7c2743821e6a461c6f","source":{"kind":"arxiv","id":"1605.02756","version":4},"attestation_state":"computed","paper":{"title":"Factoring with Qutrits: Shor's Algorithm on Ternary and Metaplectic Quantum Architectures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.ET"],"primary_cat":"quant-ph","authors_text":"Alex Bocharov, Krysta M. Svore, Martin Roetteler","submitted_at":"2016-05-09T20:13:18Z","abstract_excerpt":"We determine the cost of performing Shor's algorithm for integer factorization on a ternary quantum computer, using two natural models of universal fault-tolerant computing:\n  (i) a model based on magic state distillation that assumes the availability of the ternary Clifford gates, projective measurements, classical control as its natural instrumentation set; (ii) a model based on a metaplectic topological quantum computer (MTQC). A natural choice to implement Shor's algorithm on a ternary quantum computer is to translate the entire arithmetic into a ternary form. However, it is also possible "},"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":"1605.02756","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-09T20:13:18Z","cross_cats_sorted":["cs.ET"],"title_canon_sha256":"9ca7faa86d05ab8839ea5b9de8f6e41f2dc440eededdb8fb324effc7e0a7d402","abstract_canon_sha256":"beeda3320c51ab4f594afc25d61b837292152ae0021728daa109fe023254e7e5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:33.616223Z","signature_b64":"K7PnsAv2qyk8+utxfZD9Pso0j58RMKAEHddpt7VPwzeUn8Bsoy2QDQ34KHkIxwKe6YWiNrtySJ09Qi8itLzjAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4dcb13bf975c4a2730ffcc49a2d17cc7d5e96b2a6c561d7c2743821e6a461c6f","last_reissued_at":"2026-05-18T00:40:33.614108Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:33.614108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Factoring with Qutrits: Shor's Algorithm on Ternary and Metaplectic Quantum Architectures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.ET"],"primary_cat":"quant-ph","authors_text":"Alex Bocharov, Krysta M. Svore, Martin Roetteler","submitted_at":"2016-05-09T20:13:18Z","abstract_excerpt":"We determine the cost of performing Shor's algorithm for integer factorization on a ternary quantum computer, using two natural models of universal fault-tolerant computing:\n  (i) a model based on magic state distillation that assumes the availability of the ternary Clifford gates, projective measurements, classical control as its natural instrumentation set; (ii) a model based on a metaplectic topological quantum computer (MTQC). A natural choice to implement Shor's algorithm on a ternary quantum computer is to translate the entire arithmetic into a ternary form. However, it is also possible "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02756","kind":"arxiv","version":4},"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":"1605.02756","created_at":"2026-05-18T00:40:33.614229+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.02756v4","created_at":"2026-05-18T00:40:33.614229+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02756","created_at":"2026-05-18T00:40:33.614229+00:00"},{"alias_kind":"pith_short_12","alias_value":"JXFRHP4XLRFC","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"JXFRHP4XLRFCOMH7","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"JXFRHP4X","created_at":"2026-05-18T12:30:25.849896+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/JXFRHP4XLRFCOMH7ZRE2FUL4Y7","json":"https://pith.science/pith/JXFRHP4XLRFCOMH7ZRE2FUL4Y7.json","graph_json":"https://pith.science/api/pith-number/JXFRHP4XLRFCOMH7ZRE2FUL4Y7/graph.json","events_json":"https://pith.science/api/pith-number/JXFRHP4XLRFCOMH7ZRE2FUL4Y7/events.json","paper":"https://pith.science/paper/JXFRHP4X"},"agent_actions":{"view_html":"https://pith.science/pith/JXFRHP4XLRFCOMH7ZRE2FUL4Y7","download_json":"https://pith.science/pith/JXFRHP4XLRFCOMH7ZRE2FUL4Y7.json","view_paper":"https://pith.science/paper/JXFRHP4X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.02756&json=true","fetch_graph":"https://pith.science/api/pith-number/JXFRHP4XLRFCOMH7ZRE2FUL4Y7/graph.json","fetch_events":"https://pith.science/api/pith-number/JXFRHP4XLRFCOMH7ZRE2FUL4Y7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JXFRHP4XLRFCOMH7ZRE2FUL4Y7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JXFRHP4XLRFCOMH7ZRE2FUL4Y7/action/storage_attestation","attest_author":"https://pith.science/pith/JXFRHP4XLRFCOMH7ZRE2FUL4Y7/action/author_attestation","sign_citation":"https://pith.science/pith/JXFRHP4XLRFCOMH7ZRE2FUL4Y7/action/citation_signature","submit_replication":"https://pith.science/pith/JXFRHP4XLRFCOMH7ZRE2FUL4Y7/action/replication_record"}},"created_at":"2026-05-18T00:40:33.614229+00:00","updated_at":"2026-05-18T00:40:33.614229+00:00"}