{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:FB2HNJ5JBORYYK7MJ4KPLL4TL7","short_pith_number":"pith:FB2HNJ5J","schema_version":"1.0","canonical_sha256":"287476a7a90ba38c2bec4f14f5af935fec33d75cce34281ea9dcc91f78b3052c","source":{"kind":"arxiv","id":"1404.7822","version":3},"attestation_state":"computed","paper":{"title":"Universality of single quantum gates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.GR","authors_text":"Bela Bauer, Claire Levaillant, Michael Freedman","submitted_at":"2014-04-30T18:24:43Z","abstract_excerpt":"We supply a rigorous proof that an open dense set of all possible 2-qubit gates G has the property that if the quantum circuit model is restricted to only permit swap of qubits lines and the application of G to pairs of lines, then the model is still computationally universal."},"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":"1404.7822","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-04-30T18:24:43Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"1ac3609bf6f7e9a39954997d1832f0cc43dc70dc56dd98992f4fc16e1756cc52","abstract_canon_sha256":"89501e58d7db89007f12d35674634edbc49c151d5b24ceac34317749f8d93721"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:32.948133Z","signature_b64":"vtRxmUeArzi3EaLBzJ1K6OCVQKh4LxnUwg3l1IbKlIZPzeBlpNwRfBec5KhzdiymepQHx6d+x2G/5wk1fcaNBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"287476a7a90ba38c2bec4f14f5af935fec33d75cce34281ea9dcc91f78b3052c","last_reissued_at":"2026-05-18T02:51:32.947495Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:32.947495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universality of single quantum gates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.GR","authors_text":"Bela Bauer, Claire Levaillant, Michael Freedman","submitted_at":"2014-04-30T18:24:43Z","abstract_excerpt":"We supply a rigorous proof that an open dense set of all possible 2-qubit gates G has the property that if the quantum circuit model is restricted to only permit swap of qubits lines and the application of G to pairs of lines, then the model is still computationally universal."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7822","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":"1404.7822","created_at":"2026-05-18T02:51:32.947603+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.7822v3","created_at":"2026-05-18T02:51:32.947603+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7822","created_at":"2026-05-18T02:51:32.947603+00:00"},{"alias_kind":"pith_short_12","alias_value":"FB2HNJ5JBORY","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"FB2HNJ5JBORYYK7M","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"FB2HNJ5J","created_at":"2026-05-18T12:28:28.263976+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/FB2HNJ5JBORYYK7MJ4KPLL4TL7","json":"https://pith.science/pith/FB2HNJ5JBORYYK7MJ4KPLL4TL7.json","graph_json":"https://pith.science/api/pith-number/FB2HNJ5JBORYYK7MJ4KPLL4TL7/graph.json","events_json":"https://pith.science/api/pith-number/FB2HNJ5JBORYYK7MJ4KPLL4TL7/events.json","paper":"https://pith.science/paper/FB2HNJ5J"},"agent_actions":{"view_html":"https://pith.science/pith/FB2HNJ5JBORYYK7MJ4KPLL4TL7","download_json":"https://pith.science/pith/FB2HNJ5JBORYYK7MJ4KPLL4TL7.json","view_paper":"https://pith.science/paper/FB2HNJ5J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.7822&json=true","fetch_graph":"https://pith.science/api/pith-number/FB2HNJ5JBORYYK7MJ4KPLL4TL7/graph.json","fetch_events":"https://pith.science/api/pith-number/FB2HNJ5JBORYYK7MJ4KPLL4TL7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FB2HNJ5JBORYYK7MJ4KPLL4TL7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FB2HNJ5JBORYYK7MJ4KPLL4TL7/action/storage_attestation","attest_author":"https://pith.science/pith/FB2HNJ5JBORYYK7MJ4KPLL4TL7/action/author_attestation","sign_citation":"https://pith.science/pith/FB2HNJ5JBORYYK7MJ4KPLL4TL7/action/citation_signature","submit_replication":"https://pith.science/pith/FB2HNJ5JBORYYK7MJ4KPLL4TL7/action/replication_record"}},"created_at":"2026-05-18T02:51:32.947603+00:00","updated_at":"2026-05-18T02:51:32.947603+00:00"}