{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:7METCI5FPLSCXBODIS3RCY5XFZ","short_pith_number":"pith:7METCI5F","schema_version":"1.0","canonical_sha256":"fb093123a57ae42b85c344b71163b72e51b33965245e5d05cda3a28bda611358","source":{"kind":"arxiv","id":"2511.02900","version":3},"attestation_state":"computed","paper":{"title":"Clifford Hierarchy Stabilizer Codes: Transversal Non-Clifford Gates and Magic","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Guanyu Zhu, Po-Shen Hsin, Ryohei Kobayashi","submitted_at":"2025-11-04T19:00:00Z","abstract_excerpt":"A fundamental problem in fault-tolerant quantum computation is the tradeoff between universality and dimensionality, exemplified by the the Bravyi-K\\\"onig bound for $n$-dimensional topological stabilizer codes. In this work, we extend topological Pauli stabilizer codes to a broad class of $n$-dimensional Clifford hierarchy stabilizer codes. These codes correspond to the $(n+1)$D Dijkgraaf-Witten gauge theories with non-Abelian topological order. We construct transversal non-Clifford gates through automorphism symmetries represented by cup products. In 2D, we obtain the first transversal non-Cl"},"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":"2511.02900","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-04T19:00:00Z","cross_cats_sorted":["cond-mat.str-el","hep-th"],"title_canon_sha256":"f5473ee144c0246ba8f90640d686bb137bb6a8ed6f34e6ef0cefd66fe4bf9590","abstract_canon_sha256":"8bc4c0e21bd5b08226799accbb200bd50616bcbb50b5302226820c1c5d3f7d62"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:04:18.350513Z","signature_b64":"CSpEAXRXgtj3EAJhwrUZ1SbbgqsalABkvooXyqq4PC+O00AOrXjMFb33/0qvSi75ANhm0BKyEaAt2B0VF7aJAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb093123a57ae42b85c344b71163b72e51b33965245e5d05cda3a28bda611358","last_reissued_at":"2026-05-21T01:04:18.349654Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:04:18.349654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Clifford Hierarchy Stabilizer Codes: Transversal Non-Clifford Gates and Magic","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Guanyu Zhu, Po-Shen Hsin, Ryohei Kobayashi","submitted_at":"2025-11-04T19:00:00Z","abstract_excerpt":"A fundamental problem in fault-tolerant quantum computation is the tradeoff between universality and dimensionality, exemplified by the the Bravyi-K\\\"onig bound for $n$-dimensional topological stabilizer codes. In this work, we extend topological Pauli stabilizer codes to a broad class of $n$-dimensional Clifford hierarchy stabilizer codes. These codes correspond to the $(n+1)$D Dijkgraaf-Witten gauge theories with non-Abelian topological order. We construct transversal non-Clifford gates through automorphism symmetries represented by cup products. In 2D, we obtain the first transversal non-Cl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.02900","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.02900/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2511.02900","created_at":"2026-05-21T01:04:18.349788+00:00"},{"alias_kind":"arxiv_version","alias_value":"2511.02900v3","created_at":"2026-05-21T01:04:18.349788+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.02900","created_at":"2026-05-21T01:04:18.349788+00:00"},{"alias_kind":"pith_short_12","alias_value":"7METCI5FPLSC","created_at":"2026-05-21T01:04:18.349788+00:00"},{"alias_kind":"pith_short_16","alias_value":"7METCI5FPLSCXBOD","created_at":"2026-05-21T01:04:18.349788+00:00"},{"alias_kind":"pith_short_8","alias_value":"7METCI5F","created_at":"2026-05-21T01:04:18.349788+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2511.02900","citing_title":"Clifford Hierarchy Stabilizer Codes: Transversal Non-Clifford Gates and Magic","ref_index":1,"is_internal_anchor":true},{"citing_arxiv_id":"2511.15783","citing_title":"Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates","ref_index":1,"is_internal_anchor":true},{"citing_arxiv_id":"2603.05429","citing_title":"Constant depth magic state cultivation with Clifford measurements by gauging","ref_index":5,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7METCI5FPLSCXBODIS3RCY5XFZ","json":"https://pith.science/pith/7METCI5FPLSCXBODIS3RCY5XFZ.json","graph_json":"https://pith.science/api/pith-number/7METCI5FPLSCXBODIS3RCY5XFZ/graph.json","events_json":"https://pith.science/api/pith-number/7METCI5FPLSCXBODIS3RCY5XFZ/events.json","paper":"https://pith.science/paper/7METCI5F"},"agent_actions":{"view_html":"https://pith.science/pith/7METCI5FPLSCXBODIS3RCY5XFZ","download_json":"https://pith.science/pith/7METCI5FPLSCXBODIS3RCY5XFZ.json","view_paper":"https://pith.science/paper/7METCI5F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2511.02900&json=true","fetch_graph":"https://pith.science/api/pith-number/7METCI5FPLSCXBODIS3RCY5XFZ/graph.json","fetch_events":"https://pith.science/api/pith-number/7METCI5FPLSCXBODIS3RCY5XFZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7METCI5FPLSCXBODIS3RCY5XFZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7METCI5FPLSCXBODIS3RCY5XFZ/action/storage_attestation","attest_author":"https://pith.science/pith/7METCI5FPLSCXBODIS3RCY5XFZ/action/author_attestation","sign_citation":"https://pith.science/pith/7METCI5FPLSCXBODIS3RCY5XFZ/action/citation_signature","submit_replication":"https://pith.science/pith/7METCI5FPLSCXBODIS3RCY5XFZ/action/replication_record"}},"created_at":"2026-05-21T01:04:18.349788+00:00","updated_at":"2026-05-21T01:04:18.349788+00:00"}