{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:HBIFB7FZ7NK2Z3SMD666J6AMTR","short_pith_number":"pith:HBIFB7FZ","schema_version":"1.0","canonical_sha256":"385050fcb9fb55acee4c1fbde4f80c9c40a8d69c66a20f21754a27a7fdfbd3a0","source":{"kind":"arxiv","id":"2310.19703","version":1},"attestation_state":"computed","paper":{"title":"Lattice Realizations of Topological Defects in the critical (1+1)-d Three-State Potts Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","quant-ph"],"primary_cat":"hep-th","authors_text":"Ananda Roy, Fei Yan, Hubert Saleur, Linnea Grans-Samuelsson, Madhav Sinha","submitted_at":"2023-10-30T16:25:01Z","abstract_excerpt":"Topological/perfectly-transmissive defects play a fundamental role in the analysis of the symmetries of two dimensional conformal field theories (CFTs). In the present work, spin chain regularizations for these defects are proposed and analyzed in the case of the three-state Potts CFT. In particular, lattice versions for all the primitive defects are presented, with the remaining defects obtained from the fusion of the primitive ones. The defects are obtained by introducing modified interactions around two given sites of an otherwise homogeneous spin chain with periodic boundary condition. The"},"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":"2310.19703","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-30T16:25:01Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","quant-ph"],"title_canon_sha256":"dc299a3934b9a05c67946115c529cd1f594cadabf5487cb8aad8a11f9017237f","abstract_canon_sha256":"98ac84a8021b34a781c9a860b50228fc8bd7dfde780fa1f999400da6692a1248"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:06:54.025812Z","signature_b64":"sAUWoQwiPfUj+mlAMSOlRQHEff0fyltgRxhvgzGLqQJ+OZzWcLNYOulrwaQPUl9orzD0P/uuLAALWn/MA4jdCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"385050fcb9fb55acee4c1fbde4f80c9c40a8d69c66a20f21754a27a7fdfbd3a0","last_reissued_at":"2026-07-05T07:06:54.025302Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:06:54.025302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lattice Realizations of Topological Defects in the critical (1+1)-d Three-State Potts Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","quant-ph"],"primary_cat":"hep-th","authors_text":"Ananda Roy, Fei Yan, Hubert Saleur, Linnea Grans-Samuelsson, Madhav Sinha","submitted_at":"2023-10-30T16:25:01Z","abstract_excerpt":"Topological/perfectly-transmissive defects play a fundamental role in the analysis of the symmetries of two dimensional conformal field theories (CFTs). In the present work, spin chain regularizations for these defects are proposed and analyzed in the case of the three-state Potts CFT. In particular, lattice versions for all the primitive defects are presented, with the remaining defects obtained from the fusion of the primitive ones. The defects are obtained by introducing modified interactions around two given sites of an otherwise homogeneous spin chain with periodic boundary condition. The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.19703","kind":"arxiv","version":1},"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/2310.19703/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":"2310.19703","created_at":"2026-07-05T07:06:54.025367+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.19703v1","created_at":"2026-07-05T07:06:54.025367+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.19703","created_at":"2026-07-05T07:06:54.025367+00:00"},{"alias_kind":"pith_short_12","alias_value":"HBIFB7FZ7NK2","created_at":"2026-07-05T07:06:54.025367+00:00"},{"alias_kind":"pith_short_16","alias_value":"HBIFB7FZ7NK2Z3SM","created_at":"2026-07-05T07:06:54.025367+00:00"},{"alias_kind":"pith_short_8","alias_value":"HBIFB7FZ","created_at":"2026-07-05T07:06:54.025367+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.31601","citing_title":"Twin Phases: Intrinsic Deconfined Quantum Criticality","ref_index":73,"is_internal_anchor":false},{"citing_arxiv_id":"2405.05964","citing_title":"Lattice Models for Phases and Transitions with Non-Invertible Symmetries","ref_index":57,"is_internal_anchor":false},{"citing_arxiv_id":"2605.15194","citing_title":"Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2604.25999","citing_title":"Lattice Topological Defects in Non-Unitary Conformal Field Theories","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HBIFB7FZ7NK2Z3SMD666J6AMTR","json":"https://pith.science/pith/HBIFB7FZ7NK2Z3SMD666J6AMTR.json","graph_json":"https://pith.science/api/pith-number/HBIFB7FZ7NK2Z3SMD666J6AMTR/graph.json","events_json":"https://pith.science/api/pith-number/HBIFB7FZ7NK2Z3SMD666J6AMTR/events.json","paper":"https://pith.science/paper/HBIFB7FZ"},"agent_actions":{"view_html":"https://pith.science/pith/HBIFB7FZ7NK2Z3SMD666J6AMTR","download_json":"https://pith.science/pith/HBIFB7FZ7NK2Z3SMD666J6AMTR.json","view_paper":"https://pith.science/paper/HBIFB7FZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.19703&json=true","fetch_graph":"https://pith.science/api/pith-number/HBIFB7FZ7NK2Z3SMD666J6AMTR/graph.json","fetch_events":"https://pith.science/api/pith-number/HBIFB7FZ7NK2Z3SMD666J6AMTR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HBIFB7FZ7NK2Z3SMD666J6AMTR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HBIFB7FZ7NK2Z3SMD666J6AMTR/action/storage_attestation","attest_author":"https://pith.science/pith/HBIFB7FZ7NK2Z3SMD666J6AMTR/action/author_attestation","sign_citation":"https://pith.science/pith/HBIFB7FZ7NK2Z3SMD666J6AMTR/action/citation_signature","submit_replication":"https://pith.science/pith/HBIFB7FZ7NK2Z3SMD666J6AMTR/action/replication_record"}},"created_at":"2026-07-05T07:06:54.025367+00:00","updated_at":"2026-07-05T07:06:54.025367+00:00"}