{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EOZX74FOJ3DNZRRRLNHFE2RX2L","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":"64b739269f5aaca86a7c2431fd850d1715102de6bb40c960279c4e09e7cd4d3c","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-26T17:48:59Z","title_canon_sha256":"3585d5ceaf4af8d5d5612f2bf7d6726954936398a0c2daff9ab16021e68a1beb"},"schema_version":"1.0","source":{"id":"1811.10543","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.10543","created_at":"2026-07-05T00:16:59Z"},{"alias_kind":"arxiv_version","alias_value":"1811.10543v2","created_at":"2026-07-05T00:16:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.10543","created_at":"2026-07-05T00:16:59Z"},{"alias_kind":"pith_short_12","alias_value":"EOZX74FOJ3DN","created_at":"2026-07-05T00:16:59Z"},{"alias_kind":"pith_short_16","alias_value":"EOZX74FOJ3DNZRRR","created_at":"2026-07-05T00:16:59Z"},{"alias_kind":"pith_short_8","alias_value":"EOZX74FO","created_at":"2026-07-05T00:16:59Z"}],"graph_snapshots":[{"event_id":"sha256:b0636daa7cf0146aafc24339c9b760646a00525cfd9157e0598ad759ffed442f","target":"graph","created_at":"2026-07-05T00:16:59Z","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/1811.10543/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Topological phases of matter is a natural place for encoding robust qubits for quantum computation. In this work we extend the newly introduced class of qubits based on valence-bond solid models with SPT (symmetry-protected topological) order to more general cases. Furthermore, we define and compare various classes of topological qubits encoded in the bulk ground states of topological systems, including SSB (spontaneous symmetry-breaking), TOP (topological), SET (symmetry-enriched topological), SPT, and subsystem SPT classes. We focus on several features for qubits to be robust, including erro","authors_text":"Dong-Sheng Wang","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-26T17:48:59Z","title":"Classes of topological qubits from low-dimensional quantum spin systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.10543","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:deeb4e78fac50c4aff430a155a0594ba3c6d64fb0278493011b693fc920c2337","target":"record","created_at":"2026-07-05T00:16:59Z","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":"64b739269f5aaca86a7c2431fd850d1715102de6bb40c960279c4e09e7cd4d3c","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-26T17:48:59Z","title_canon_sha256":"3585d5ceaf4af8d5d5612f2bf7d6726954936398a0c2daff9ab16021e68a1beb"},"schema_version":"1.0","source":{"id":"1811.10543","kind":"arxiv","version":2}},"canonical_sha256":"23b37ff0ae4ec6dcc6315b4e526a37d2c4d477774263f5abdb162c8b56771269","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23b37ff0ae4ec6dcc6315b4e526a37d2c4d477774263f5abdb162c8b56771269","first_computed_at":"2026-07-05T00:16:59.141493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:16:59.141493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CMORb+1N160iGIyn55oPNAnJ7R6yQc4oIi9oyW0/VMUGcamI2+mhx7xkl1Rpus3MY5JbqwDs7MhmNFO5NCdpBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:16:59.141979Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.10543","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:deeb4e78fac50c4aff430a155a0594ba3c6d64fb0278493011b693fc920c2337","sha256:b0636daa7cf0146aafc24339c9b760646a00525cfd9157e0598ad759ffed442f"],"state_sha256":"a5743a230b378f9cbab7254cba445c797cdd373469677b7f260a8f6c457f64c5"}