{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SONPZ6UJ43ECOJOM7UXOKQIXFE","short_pith_number":"pith:SONPZ6UJ","schema_version":"1.0","canonical_sha256":"939afcfa89e6c82725ccfd2ee541172912861a6c0f259e27cb92e2a8f50f01b4","source":{"kind":"arxiv","id":"1204.0113","version":3},"attestation_state":"computed","paper":{"title":"Projective non-Abelian Statistics of Dislocation Defects in a Z_N Rotor Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Xiao-Gang Wen, Yi-Zhuang You","submitted_at":"2012-03-31T16:40:35Z","abstract_excerpt":"Non-Abelian statistics is a phenomenon of topologically protected non-Abelian Berry phases as we exchange quasiparticle excitations. In this paper, we construct a Z_N rotor model that realizes a self-dual Z_N Abelian gauge theory. We find that lattice dislocation defects in the model produce topologically protected degeneracy. Even though dislocations are not quasiparticle excitations, they resemble non-Abelian anyons with quantum dimension sqrt(N). Exchanging dislocations can produces topologically protected projective non-Abelian Berry phases. The dislocations, as projective non-Abelian anyo"},"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":"1204.0113","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-03-31T16:40:35Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"3ef12e0c3a9efbe2a0682336cccb39b639a695153904238a5630a221ddda1cf6","abstract_canon_sha256":"23dedebc2db273ec524e93d9ef111a1672af0624af9095b08caeadd1fee44560"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:55.845545Z","signature_b64":"Nl+Gl+NeKQ6d0HrGZFF0cBqq8vQYlabq4ketFC6OqsQXCJtvZNUHASncId0X7Fv7l34VuMH9HMf/My0mno18Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"939afcfa89e6c82725ccfd2ee541172912861a6c0f259e27cb92e2a8f50f01b4","last_reissued_at":"2026-05-18T03:42:55.844775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:55.844775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Projective non-Abelian Statistics of Dislocation Defects in a Z_N Rotor Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Xiao-Gang Wen, Yi-Zhuang You","submitted_at":"2012-03-31T16:40:35Z","abstract_excerpt":"Non-Abelian statistics is a phenomenon of topologically protected non-Abelian Berry phases as we exchange quasiparticle excitations. In this paper, we construct a Z_N rotor model that realizes a self-dual Z_N Abelian gauge theory. We find that lattice dislocation defects in the model produce topologically protected degeneracy. Even though dislocations are not quasiparticle excitations, they resemble non-Abelian anyons with quantum dimension sqrt(N). Exchanging dislocations can produces topologically protected projective non-Abelian Berry phases. The dislocations, as projective non-Abelian anyo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0113","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":"1204.0113","created_at":"2026-05-18T03:42:55.844887+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.0113v3","created_at":"2026-05-18T03:42:55.844887+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0113","created_at":"2026-05-18T03:42:55.844887+00:00"},{"alias_kind":"pith_short_12","alias_value":"SONPZ6UJ43EC","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"SONPZ6UJ43ECOJOM","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"SONPZ6UJ","created_at":"2026-05-18T12:27:20.899486+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.03916","citing_title":"Practical gates by Majorana fermion motion","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SONPZ6UJ43ECOJOM7UXOKQIXFE","json":"https://pith.science/pith/SONPZ6UJ43ECOJOM7UXOKQIXFE.json","graph_json":"https://pith.science/api/pith-number/SONPZ6UJ43ECOJOM7UXOKQIXFE/graph.json","events_json":"https://pith.science/api/pith-number/SONPZ6UJ43ECOJOM7UXOKQIXFE/events.json","paper":"https://pith.science/paper/SONPZ6UJ"},"agent_actions":{"view_html":"https://pith.science/pith/SONPZ6UJ43ECOJOM7UXOKQIXFE","download_json":"https://pith.science/pith/SONPZ6UJ43ECOJOM7UXOKQIXFE.json","view_paper":"https://pith.science/paper/SONPZ6UJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.0113&json=true","fetch_graph":"https://pith.science/api/pith-number/SONPZ6UJ43ECOJOM7UXOKQIXFE/graph.json","fetch_events":"https://pith.science/api/pith-number/SONPZ6UJ43ECOJOM7UXOKQIXFE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SONPZ6UJ43ECOJOM7UXOKQIXFE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SONPZ6UJ43ECOJOM7UXOKQIXFE/action/storage_attestation","attest_author":"https://pith.science/pith/SONPZ6UJ43ECOJOM7UXOKQIXFE/action/author_attestation","sign_citation":"https://pith.science/pith/SONPZ6UJ43ECOJOM7UXOKQIXFE/action/citation_signature","submit_replication":"https://pith.science/pith/SONPZ6UJ43ECOJOM7UXOKQIXFE/action/replication_record"}},"created_at":"2026-05-18T03:42:55.844887+00:00","updated_at":"2026-05-18T03:42:55.844887+00:00"}