{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:SFLV4B66LD4IB46FNXV35DGCT7","short_pith_number":"pith:SFLV4B66","schema_version":"1.0","canonical_sha256":"91575e07de58f880f3c56debbe8cc29fe18cd4325c85ba7c6e54762b1f9e94ed","source":{"kind":"arxiv","id":"1004.1838","version":2},"attestation_state":"computed","paper":{"title":"Topological Order with a Twist: Ising Anyons from an Abelian Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"H. Bombin","submitted_at":"2010-04-11T20:18:33Z","abstract_excerpt":"Anyon models can be symmetric under some permutations of their topological charges. One can then conceive topological defects that, under monodromy, transform anyons according to a symmetry. We study the realization of such defects in the toric code model, showing that a process where defects are braided and fused has the same outcome as if they were Ising anyons. These ideas can also be applied in the context of topological codes."},"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":"1004.1838","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-11T20:18:33Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"940263f984f8780c79f21b89d3310d9d8c71f8cad5e6fde6fc7b616d34b39129","abstract_canon_sha256":"caebac676a4a270cfa5d7350551ba0e0e942c07bccbce6229a8e1b045fb58012"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:32:24.430806Z","signature_b64":"rKzxpqofr526qVuy1pul7koLeZCwdLdxZhMHtuzu/OXBzew4y0M7MVkc+AQNE8C8Eub9ifxbyQdUUNH8w39XCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91575e07de58f880f3c56debbe8cc29fe18cd4325c85ba7c6e54762b1f9e94ed","last_reissued_at":"2026-07-04T17:32:24.430403Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:32:24.430403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological Order with a Twist: Ising Anyons from an Abelian Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"H. Bombin","submitted_at":"2010-04-11T20:18:33Z","abstract_excerpt":"Anyon models can be symmetric under some permutations of their topological charges. One can then conceive topological defects that, under monodromy, transform anyons according to a symmetry. We study the realization of such defects in the toric code model, showing that a process where defects are braided and fused has the same outcome as if they were Ising anyons. These ideas can also be applied in the context of topological codes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1838","kind":"arxiv","version":2},"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/1004.1838/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":"1004.1838","created_at":"2026-07-04T17:32:24.430465+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.1838v2","created_at":"2026-07-04T17:32:24.430465+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1838","created_at":"2026-07-04T17:32:24.430465+00:00"},{"alias_kind":"pith_short_12","alias_value":"SFLV4B66LD4I","created_at":"2026-07-04T17:32:24.430465+00:00"},{"alias_kind":"pith_short_16","alias_value":"SFLV4B66LD4IB46F","created_at":"2026-07-04T17:32:24.430465+00:00"},{"alias_kind":"pith_short_8","alias_value":"SFLV4B66","created_at":"2026-07-04T17:32:24.430465+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.08558","citing_title":"Microscopic universal theory of symmetry-enriched topological quantum spin liquids","ref_index":26,"is_internal_anchor":true},{"citing_arxiv_id":"2606.03916","citing_title":"Practical gates by Majorana fermion motion","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2605.03891","citing_title":"Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping","ref_index":69,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SFLV4B66LD4IB46FNXV35DGCT7","json":"https://pith.science/pith/SFLV4B66LD4IB46FNXV35DGCT7.json","graph_json":"https://pith.science/api/pith-number/SFLV4B66LD4IB46FNXV35DGCT7/graph.json","events_json":"https://pith.science/api/pith-number/SFLV4B66LD4IB46FNXV35DGCT7/events.json","paper":"https://pith.science/paper/SFLV4B66"},"agent_actions":{"view_html":"https://pith.science/pith/SFLV4B66LD4IB46FNXV35DGCT7","download_json":"https://pith.science/pith/SFLV4B66LD4IB46FNXV35DGCT7.json","view_paper":"https://pith.science/paper/SFLV4B66","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.1838&json=true","fetch_graph":"https://pith.science/api/pith-number/SFLV4B66LD4IB46FNXV35DGCT7/graph.json","fetch_events":"https://pith.science/api/pith-number/SFLV4B66LD4IB46FNXV35DGCT7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SFLV4B66LD4IB46FNXV35DGCT7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SFLV4B66LD4IB46FNXV35DGCT7/action/storage_attestation","attest_author":"https://pith.science/pith/SFLV4B66LD4IB46FNXV35DGCT7/action/author_attestation","sign_citation":"https://pith.science/pith/SFLV4B66LD4IB46FNXV35DGCT7/action/citation_signature","submit_replication":"https://pith.science/pith/SFLV4B66LD4IB46FNXV35DGCT7/action/replication_record"}},"created_at":"2026-07-04T17:32:24.430465+00:00","updated_at":"2026-07-04T17:32:24.430465+00:00"}