{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:CWSVU3OPZI4EQLTFN7H3D2UOSQ","short_pith_number":"pith:CWSVU3OP","schema_version":"1.0","canonical_sha256":"15a55a6dcfca38482e656fcfb1ea8e943c61c6f6f182e6e77ccc421da6cdb1d9","source":{"kind":"arxiv","id":"1808.05100","version":4},"attestation_state":"computed","paper":{"title":"Noise-tolerant Detection of $Z_N$ Topological Orders in Quantum Many-body States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.stat-mech","authors_text":"Gang Su, Maciej Lewenstein, Shi-Ju Ran, Shuo Yang, Xi Chen","submitted_at":"2018-08-15T14:32:50Z","abstract_excerpt":"Topologically ordered states are fundamentally important in theoretical physics, which are also suggested as promising candidates to build fault-tolerant quantum devices. However, it is still elusive how topological orders can be affected or detected under noises. In this work, we find a quantity, termed as the ring degeneracy $\\mathcal{D}$, which is robust under pure noise to detect both trivial and intrinsic topological orders. The ring degeneracy is defined as the degeneracy of the solutions of the self-consistent equations that encode the contraction of the corresponding tensor network(TN)"},"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":"1808.05100","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-08-15T14:32:50Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"90976ded2afa00fcefd1c571d0d9867e5d79866c93d483c9e360f58eea8694f9","abstract_canon_sha256":"0013e28189d77fb3cd1ee2d5ba619abe357c10e698b8ab1746ad389313feaa93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:50.318234Z","signature_b64":"gvcIjr1t61XL6nRdshcNSzpBiOiR6GDhrDalpSiwpDK4gkD5U33bY5NZClvmpTXH+bVuSRRqIPwqGWhhOuyxDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15a55a6dcfca38482e656fcfb1ea8e943c61c6f6f182e6e77ccc421da6cdb1d9","last_reissued_at":"2026-05-17T23:46:50.317630Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:50.317630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noise-tolerant Detection of $Z_N$ Topological Orders in Quantum Many-body States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.stat-mech","authors_text":"Gang Su, Maciej Lewenstein, Shi-Ju Ran, Shuo Yang, Xi Chen","submitted_at":"2018-08-15T14:32:50Z","abstract_excerpt":"Topologically ordered states are fundamentally important in theoretical physics, which are also suggested as promising candidates to build fault-tolerant quantum devices. However, it is still elusive how topological orders can be affected or detected under noises. In this work, we find a quantity, termed as the ring degeneracy $\\mathcal{D}$, which is robust under pure noise to detect both trivial and intrinsic topological orders. The ring degeneracy is defined as the degeneracy of the solutions of the self-consistent equations that encode the contraction of the corresponding tensor network(TN)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05100","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":"1808.05100","created_at":"2026-05-17T23:46:50.317729+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.05100v4","created_at":"2026-05-17T23:46:50.317729+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05100","created_at":"2026-05-17T23:46:50.317729+00:00"},{"alias_kind":"pith_short_12","alias_value":"CWSVU3OPZI4E","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"CWSVU3OPZI4EQLTF","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"CWSVU3OP","created_at":"2026-05-18T12:32:19.392346+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/CWSVU3OPZI4EQLTFN7H3D2UOSQ","json":"https://pith.science/pith/CWSVU3OPZI4EQLTFN7H3D2UOSQ.json","graph_json":"https://pith.science/api/pith-number/CWSVU3OPZI4EQLTFN7H3D2UOSQ/graph.json","events_json":"https://pith.science/api/pith-number/CWSVU3OPZI4EQLTFN7H3D2UOSQ/events.json","paper":"https://pith.science/paper/CWSVU3OP"},"agent_actions":{"view_html":"https://pith.science/pith/CWSVU3OPZI4EQLTFN7H3D2UOSQ","download_json":"https://pith.science/pith/CWSVU3OPZI4EQLTFN7H3D2UOSQ.json","view_paper":"https://pith.science/paper/CWSVU3OP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.05100&json=true","fetch_graph":"https://pith.science/api/pith-number/CWSVU3OPZI4EQLTFN7H3D2UOSQ/graph.json","fetch_events":"https://pith.science/api/pith-number/CWSVU3OPZI4EQLTFN7H3D2UOSQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CWSVU3OPZI4EQLTFN7H3D2UOSQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CWSVU3OPZI4EQLTFN7H3D2UOSQ/action/storage_attestation","attest_author":"https://pith.science/pith/CWSVU3OPZI4EQLTFN7H3D2UOSQ/action/author_attestation","sign_citation":"https://pith.science/pith/CWSVU3OPZI4EQLTFN7H3D2UOSQ/action/citation_signature","submit_replication":"https://pith.science/pith/CWSVU3OPZI4EQLTFN7H3D2UOSQ/action/replication_record"}},"created_at":"2026-05-17T23:46:50.317729+00:00","updated_at":"2026-05-17T23:46:50.317729+00:00"}