{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:WVKHXXZ2ZMBPSZLUTI3DTTS5TI","short_pith_number":"pith:WVKHXXZ2","schema_version":"1.0","canonical_sha256":"b5547bdf3acb02f965749a3639ce5d9a2a100ff64eebb96eecd0b43005829574","source":{"kind":"arxiv","id":"1306.1538","version":2},"attestation_state":"computed","paper":{"title":"Unconventional Fusion and Braiding of Topological Defects in a Lattice Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Abhishek Roy, Jeffrey C.Y. Teo, Xiao Chen","submitted_at":"2013-06-06T20:01:04Z","abstract_excerpt":"We demonstrate the semiclassical nature of symmetry twist defects that differ from quantum deconfined anyons in a true topological phase by examining non-abelian crystalline defects in an abelian lattice model. An underlying non-dynamical ungauged S3-symmetry labels the quasi-extensive defects by group elements and gives rise to order dependent fusion. A central subgroup of local Wilson observables distinguishes defect-anyon composites by species, which can mutate through abelian anyon tunneling by tuning local defect phase parameters. We compute a complete consistent set of primitive basis tr"},"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":"1306.1538","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-06-06T20:01:04Z","cross_cats_sorted":[],"title_canon_sha256":"8c709990de5fbb1859fb09463a51d79464e77991da016c74c8995c8420f6f43f","abstract_canon_sha256":"52631cb80af0421370c6d8496031996abe1008d29d2e6fb62574c55ac0aa32ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:42.388640Z","signature_b64":"DkaisugJaqmuh9RsfdpWbflQCRWA69xp1zjcDcFGqFnlPMqIkc0oTd3RxWz9hV4/47+v+/Goxmhf61vIZx45Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5547bdf3acb02f965749a3639ce5d9a2a100ff64eebb96eecd0b43005829574","last_reissued_at":"2026-05-18T02:41:42.388014Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:42.388014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unconventional Fusion and Braiding of Topological Defects in a Lattice Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Abhishek Roy, Jeffrey C.Y. Teo, Xiao Chen","submitted_at":"2013-06-06T20:01:04Z","abstract_excerpt":"We demonstrate the semiclassical nature of symmetry twist defects that differ from quantum deconfined anyons in a true topological phase by examining non-abelian crystalline defects in an abelian lattice model. An underlying non-dynamical ungauged S3-symmetry labels the quasi-extensive defects by group elements and gives rise to order dependent fusion. A central subgroup of local Wilson observables distinguishes defect-anyon composites by species, which can mutate through abelian anyon tunneling by tuning local defect phase parameters. We compute a complete consistent set of primitive basis tr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1538","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":""},"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":"1306.1538","created_at":"2026-05-18T02:41:42.388110+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.1538v2","created_at":"2026-05-18T02:41:42.388110+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1538","created_at":"2026-05-18T02:41:42.388110+00:00"},{"alias_kind":"pith_short_12","alias_value":"WVKHXXZ2ZMBP","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"WVKHXXZ2ZMBPSZLU","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"WVKHXXZ2","created_at":"2026-05-18T12:28:04.890932+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/WVKHXXZ2ZMBPSZLUTI3DTTS5TI","json":"https://pith.science/pith/WVKHXXZ2ZMBPSZLUTI3DTTS5TI.json","graph_json":"https://pith.science/api/pith-number/WVKHXXZ2ZMBPSZLUTI3DTTS5TI/graph.json","events_json":"https://pith.science/api/pith-number/WVKHXXZ2ZMBPSZLUTI3DTTS5TI/events.json","paper":"https://pith.science/paper/WVKHXXZ2"},"agent_actions":{"view_html":"https://pith.science/pith/WVKHXXZ2ZMBPSZLUTI3DTTS5TI","download_json":"https://pith.science/pith/WVKHXXZ2ZMBPSZLUTI3DTTS5TI.json","view_paper":"https://pith.science/paper/WVKHXXZ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.1538&json=true","fetch_graph":"https://pith.science/api/pith-number/WVKHXXZ2ZMBPSZLUTI3DTTS5TI/graph.json","fetch_events":"https://pith.science/api/pith-number/WVKHXXZ2ZMBPSZLUTI3DTTS5TI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WVKHXXZ2ZMBPSZLUTI3DTTS5TI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WVKHXXZ2ZMBPSZLUTI3DTTS5TI/action/storage_attestation","attest_author":"https://pith.science/pith/WVKHXXZ2ZMBPSZLUTI3DTTS5TI/action/author_attestation","sign_citation":"https://pith.science/pith/WVKHXXZ2ZMBPSZLUTI3DTTS5TI/action/citation_signature","submit_replication":"https://pith.science/pith/WVKHXXZ2ZMBPSZLUTI3DTTS5TI/action/replication_record"}},"created_at":"2026-05-18T02:41:42.388110+00:00","updated_at":"2026-05-18T02:41:42.388110+00:00"}