{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:GWMFAZWMIW4UBAFCCMOS3I5EDN","short_pith_number":"pith:GWMFAZWM","schema_version":"1.0","canonical_sha256":"35985066cc45b94080a2131d2da3a41b6f4d474acdc17b67245c027452b384af","source":{"kind":"arxiv","id":"2310.02096","version":1},"attestation_state":"computed","paper":{"title":"R\\'{e}nyi Entropy with Surface Defects in Six Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Ma-Ke Yuan, Yang Zhou","submitted_at":"2023-10-03T14:39:20Z","abstract_excerpt":"We compute the surface defect contribution to R\\'{e}nyi entropy and supersymmetric R\\'{e}nyi entropy in six dimensions. We first compute the surface defect contribution to R\\'{e}nyi entropy for free fields, which verifies a previous formula about entanglement entropy with surface defect. Using conformal map to $S^1_\\beta\\times H^{d-1}$ we develop a heat kernel approach to compute the defect contribution to R\\'{e}nyi entropy, which is applicable for $p$-dimensional defect in general $d$-dimensional free fields. Using the same geometry $S^1_\\beta\\times H^5$ with an additional background field, o"},"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":"2310.02096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-10-03T14:39:20Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","quant-ph"],"title_canon_sha256":"dc6c866782143f1645ac980ffdc9c9fd716b395302fcf0b0f6fbd980df6af11a","abstract_canon_sha256":"e0ea41d498be0f9cbf663a3947043587df7e057d274b9db4b8d2c218675d821c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:53:31.402304Z","signature_b64":"AMc1JuC6FnxOM6kqZMm/uVgKLXBqGY/P3KJYQVpfB4BNfrThg7CN60YWjL1jilTPm5I04Tera3FZGgD8Z1jPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35985066cc45b94080a2131d2da3a41b6f4d474acdc17b67245c027452b384af","last_reissued_at":"2026-07-05T07:53:31.401868Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:53:31.401868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"R\\'{e}nyi Entropy with Surface Defects in Six Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Ma-Ke Yuan, Yang Zhou","submitted_at":"2023-10-03T14:39:20Z","abstract_excerpt":"We compute the surface defect contribution to R\\'{e}nyi entropy and supersymmetric R\\'{e}nyi entropy in six dimensions. We first compute the surface defect contribution to R\\'{e}nyi entropy for free fields, which verifies a previous formula about entanglement entropy with surface defect. Using conformal map to $S^1_\\beta\\times H^{d-1}$ we develop a heat kernel approach to compute the defect contribution to R\\'{e}nyi entropy, which is applicable for $p$-dimensional defect in general $d$-dimensional free fields. Using the same geometry $S^1_\\beta\\times H^5$ with an additional background field, o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.02096","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/2310.02096/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":"2310.02096","created_at":"2026-07-05T07:53:31.401922+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.02096v1","created_at":"2026-07-05T07:53:31.401922+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.02096","created_at":"2026-07-05T07:53:31.401922+00:00"},{"alias_kind":"pith_short_12","alias_value":"GWMFAZWMIW4U","created_at":"2026-07-05T07:53:31.401922+00:00"},{"alias_kind":"pith_short_16","alias_value":"GWMFAZWMIW4UBAFC","created_at":"2026-07-05T07:53:31.401922+00:00"},{"alias_kind":"pith_short_8","alias_value":"GWMFAZWM","created_at":"2026-07-05T07:53:31.401922+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2501.09498","citing_title":"From Weyl Anomaly to Defect Supersymmetric R\\'enyi Entropy and Casimir Energy","ref_index":51,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GWMFAZWMIW4UBAFCCMOS3I5EDN","json":"https://pith.science/pith/GWMFAZWMIW4UBAFCCMOS3I5EDN.json","graph_json":"https://pith.science/api/pith-number/GWMFAZWMIW4UBAFCCMOS3I5EDN/graph.json","events_json":"https://pith.science/api/pith-number/GWMFAZWMIW4UBAFCCMOS3I5EDN/events.json","paper":"https://pith.science/paper/GWMFAZWM"},"agent_actions":{"view_html":"https://pith.science/pith/GWMFAZWMIW4UBAFCCMOS3I5EDN","download_json":"https://pith.science/pith/GWMFAZWMIW4UBAFCCMOS3I5EDN.json","view_paper":"https://pith.science/paper/GWMFAZWM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.02096&json=true","fetch_graph":"https://pith.science/api/pith-number/GWMFAZWMIW4UBAFCCMOS3I5EDN/graph.json","fetch_events":"https://pith.science/api/pith-number/GWMFAZWMIW4UBAFCCMOS3I5EDN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GWMFAZWMIW4UBAFCCMOS3I5EDN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GWMFAZWMIW4UBAFCCMOS3I5EDN/action/storage_attestation","attest_author":"https://pith.science/pith/GWMFAZWMIW4UBAFCCMOS3I5EDN/action/author_attestation","sign_citation":"https://pith.science/pith/GWMFAZWMIW4UBAFCCMOS3I5EDN/action/citation_signature","submit_replication":"https://pith.science/pith/GWMFAZWMIW4UBAFCCMOS3I5EDN/action/replication_record"}},"created_at":"2026-07-05T07:53:31.401922+00:00","updated_at":"2026-07-05T07:53:31.401922+00:00"}