{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:CB6RYMIMTYMXF3YGJ33VRCN5QB","short_pith_number":"pith:CB6RYMIM","schema_version":"1.0","canonical_sha256":"107d1c310c9e1972ef064ef75889bd80549a71a0ebdaf4a4dfb97a2f097d3f48","source":{"kind":"arxiv","id":"2501.09498","version":1},"attestation_state":"computed","paper":{"title":"From Weyl Anomaly to Defect Supersymmetric R\\'enyi Entropy and Casimir Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Ma-Ke Yuan, Yang Zhou, Zi-Xiao Huang","submitted_at":"2025-01-16T12:20:03Z","abstract_excerpt":"We present a closed-form expression for the contribution of surface defects to the supersymmetric R\\'enyi entropy in six-dimensional $(2,0)$ theories. Our results show that this defect contribution is a linear function of $1/n$ and is directly proportional to $2b-d_2$, where $b$ and $d_2$ are the surface defect Weyl anomaly coefficients. We also derive a closed-form expression for the defect contribution to the supersymmetric Casimir energy, which simplifies to $-d_2$ (up to a proportionality constant) in the chiral algebra limit."},"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":"2501.09498","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-01-16T12:20:03Z","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"title_canon_sha256":"53e8c34c252e2d3ac869228f83321c7c5b1d1d9fe8c4856351fbcb30abda49aa","abstract_canon_sha256":"15016d483d193f8a94b6d489b27bb827b811e331cda115f4e8443fd42b4f0565"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:03:41.283887Z","signature_b64":"QRG8xVGxoMLTxP+HzJjAyIgsXYV2qpnoaS+jntuwA6x144GfbkKZYK2jUDGTIhoLnTnyy+i2+DpMwNqSM6XuAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"107d1c310c9e1972ef064ef75889bd80549a71a0ebdaf4a4dfb97a2f097d3f48","last_reissued_at":"2026-05-22T01:03:41.282853Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:03:41.282853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From Weyl Anomaly to Defect Supersymmetric R\\'enyi Entropy and Casimir Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Ma-Ke Yuan, Yang Zhou, Zi-Xiao Huang","submitted_at":"2025-01-16T12:20:03Z","abstract_excerpt":"We present a closed-form expression for the contribution of surface defects to the supersymmetric R\\'enyi entropy in six-dimensional $(2,0)$ theories. Our results show that this defect contribution is a linear function of $1/n$ and is directly proportional to $2b-d_2$, where $b$ and $d_2$ are the surface defect Weyl anomaly coefficients. We also derive a closed-form expression for the defect contribution to the supersymmetric Casimir energy, which simplifies to $-d_2$ (up to a proportionality constant) in the chiral algebra limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.09498","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/2501.09498/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":"2501.09498","created_at":"2026-05-22T01:03:41.282963+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.09498v1","created_at":"2026-05-22T01:03:41.282963+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.09498","created_at":"2026-05-22T01:03:41.282963+00:00"},{"alias_kind":"pith_short_12","alias_value":"CB6RYMIMTYMX","created_at":"2026-05-22T01:03:41.282963+00:00"},{"alias_kind":"pith_short_16","alias_value":"CB6RYMIMTYMXF3YG","created_at":"2026-05-22T01:03:41.282963+00:00"},{"alias_kind":"pith_short_8","alias_value":"CB6RYMIM","created_at":"2026-05-22T01:03:41.282963+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/CB6RYMIMTYMXF3YGJ33VRCN5QB","json":"https://pith.science/pith/CB6RYMIMTYMXF3YGJ33VRCN5QB.json","graph_json":"https://pith.science/api/pith-number/CB6RYMIMTYMXF3YGJ33VRCN5QB/graph.json","events_json":"https://pith.science/api/pith-number/CB6RYMIMTYMXF3YGJ33VRCN5QB/events.json","paper":"https://pith.science/paper/CB6RYMIM"},"agent_actions":{"view_html":"https://pith.science/pith/CB6RYMIMTYMXF3YGJ33VRCN5QB","download_json":"https://pith.science/pith/CB6RYMIMTYMXF3YGJ33VRCN5QB.json","view_paper":"https://pith.science/paper/CB6RYMIM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.09498&json=true","fetch_graph":"https://pith.science/api/pith-number/CB6RYMIMTYMXF3YGJ33VRCN5QB/graph.json","fetch_events":"https://pith.science/api/pith-number/CB6RYMIMTYMXF3YGJ33VRCN5QB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CB6RYMIMTYMXF3YGJ33VRCN5QB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CB6RYMIMTYMXF3YGJ33VRCN5QB/action/storage_attestation","attest_author":"https://pith.science/pith/CB6RYMIMTYMXF3YGJ33VRCN5QB/action/author_attestation","sign_citation":"https://pith.science/pith/CB6RYMIMTYMXF3YGJ33VRCN5QB/action/citation_signature","submit_replication":"https://pith.science/pith/CB6RYMIMTYMXF3YGJ33VRCN5QB/action/replication_record"}},"created_at":"2026-05-22T01:03:41.282963+00:00","updated_at":"2026-05-22T01:03:41.282963+00:00"}