{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:KA3YZISU3K4QSF3PIPZRDB3XBV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3f698a2a36fb4ac765ee057e366ae50fb687f6c75ce7ddcc85f44428c54b8f47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-10-31T19:28:42Z","title_canon_sha256":"e2baa51bf9db5fd782b5d191d25c56a2628166e70f5466759d9a05f19c79fcab"},"schema_version":"1.0","source":{"id":"2311.00103","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.00103","created_at":"2026-07-05T07:08:30Z"},{"alias_kind":"arxiv_version","alias_value":"2311.00103v2","created_at":"2026-07-05T07:08:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.00103","created_at":"2026-07-05T07:08:30Z"},{"alias_kind":"pith_short_12","alias_value":"KA3YZISU3K4Q","created_at":"2026-07-05T07:08:30Z"},{"alias_kind":"pith_short_16","alias_value":"KA3YZISU3K4QSF3P","created_at":"2026-07-05T07:08:30Z"},{"alias_kind":"pith_short_8","alias_value":"KA3YZISU","created_at":"2026-07-05T07:08:30Z"}],"graph_snapshots":[{"event_id":"sha256:567eda2b27981c8d9e6d5f2173f12a0fd2e4368957ef18f3f33015e9c2457b95","target":"graph","created_at":"2026-07-05T07:08:30Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2311.00103/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we explore topological quantum computation augmented by subphases and phase transitions. We commence by investigating the anyon tunneling map, denoted as $\\varphi$, between subphases of the quantum double model $\\mathcal{D}(G)$ for any arbitrary finite group $G$. Subsequently, we delve into the relationship between $\\varphi$ and the Floquet code, and extend the Abelian Floquet code to encompass non-abelian cases. We conclude by demonstrating how phase transitions in both the temporal and spatial directions can enhance the diversity of topological gates for general topological or","authors_text":"Peter Shor, Yuanjie Ren","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-10-31T19:28:42Z","title":"Topological quantum computation assisted by phase transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.00103","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b936e94dea6d740553100fe28adea513684dff0169dc9991f7a0578388558861","target":"record","created_at":"2026-07-05T07:08:30Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3f698a2a36fb4ac765ee057e366ae50fb687f6c75ce7ddcc85f44428c54b8f47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2023-10-31T19:28:42Z","title_canon_sha256":"e2baa51bf9db5fd782b5d191d25c56a2628166e70f5466759d9a05f19c79fcab"},"schema_version":"1.0","source":{"id":"2311.00103","kind":"arxiv","version":2}},"canonical_sha256":"50378ca254dab909176f43f31187770d5c0056e71cfdb35721a7f39d330a065e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50378ca254dab909176f43f31187770d5c0056e71cfdb35721a7f39d330a065e","first_computed_at":"2026-07-05T07:08:30.082269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:08:30.082269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U06+LkItLeHS6t9IGgH1rqGzSv8+PT/5JsCMky18zAIFoqFlW34cbPG8OaPRZG5BjoJQclrVtgYiiZbdRmHvBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:08:30.083274Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.00103","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b936e94dea6d740553100fe28adea513684dff0169dc9991f7a0578388558861","sha256:567eda2b27981c8d9e6d5f2173f12a0fd2e4368957ef18f3f33015e9c2457b95"],"state_sha256":"6bd64d9f998f0dd6b51f5d52f11bbefbacf90690f12c12983608a2f7f9a58b84"}