{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:GIRJU2QF33HY4R3N74HAIFYVEG","short_pith_number":"pith:GIRJU2QF","schema_version":"1.0","canonical_sha256":"32229a6a05decf8e476dff0e04171521aa5b9dd3d4de7f3501caf1e036552ff6","source":{"kind":"arxiv","id":"2405.10862","version":1},"attestation_state":"computed","paper":{"title":"A note on integrated correlators with a Wilson line in $\\mathcal{N}=4$ SYM","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Lerda, F. Galvagno, M. Bill\\`o, M. Frau","submitted_at":"2024-05-17T15:48:32Z","abstract_excerpt":"We revisit the analysis of the integrated 2-point functions of local operators with a $\\frac{1}{2}$-BPS Wilson line in $\\mathcal{N}=4$ SYM. After including suitable parity-odd terms in the parametrization of the defect correlators, we are able to solve the superconformal Ward identities in terms of an unconstrained function of the cross-ratios. Exploiting this general solution, we obtain a simple expression of the integration measure for the integrated correlators with a Wilson line. We test our result by integrating the available bootstrap expression of the unintegrated correlator at strong c"},"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":"2405.10862","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-05-17T15:48:32Z","cross_cats_sorted":[],"title_canon_sha256":"f6a3836897f0e4d662c649e247c9adfb9aff84bfd5644070270cfce9b41e5919","abstract_canon_sha256":"9b8863c480bb409f2e9a172aa0264c3341ef4215570ac2bc1a6e2e1a30f5cb0a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:20:17.990712Z","signature_b64":"79Nk9sepb8NI/M/EVeKev9hBcU7zoo/nvmNSb9+PfnXPS0c4sGbrMJDFUSeeAn+lBFAC57JumVpzqQAvJ6AQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32229a6a05decf8e476dff0e04171521aa5b9dd3d4de7f3501caf1e036552ff6","last_reissued_at":"2026-07-05T08:20:17.990307Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:20:17.990307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on integrated correlators with a Wilson line in $\\mathcal{N}=4$ SYM","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Lerda, F. Galvagno, M. Bill\\`o, M. Frau","submitted_at":"2024-05-17T15:48:32Z","abstract_excerpt":"We revisit the analysis of the integrated 2-point functions of local operators with a $\\frac{1}{2}$-BPS Wilson line in $\\mathcal{N}=4$ SYM. After including suitable parity-odd terms in the parametrization of the defect correlators, we are able to solve the superconformal Ward identities in terms of an unconstrained function of the cross-ratios. Exploiting this general solution, we obtain a simple expression of the integration measure for the integrated correlators with a Wilson line. We test our result by integrating the available bootstrap expression of the unintegrated correlator at strong c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.10862","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/2405.10862/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":"2405.10862","created_at":"2026-07-05T08:20:17.990372+00:00"},{"alias_kind":"arxiv_version","alias_value":"2405.10862v1","created_at":"2026-07-05T08:20:17.990372+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.10862","created_at":"2026-07-05T08:20:17.990372+00:00"},{"alias_kind":"pith_short_12","alias_value":"GIRJU2QF33HY","created_at":"2026-07-05T08:20:17.990372+00:00"},{"alias_kind":"pith_short_16","alias_value":"GIRJU2QF33HY4R3N","created_at":"2026-07-05T08:20:17.990372+00:00"},{"alias_kind":"pith_short_8","alias_value":"GIRJU2QF","created_at":"2026-07-05T08:20:17.990372+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.14421","citing_title":"Notes on flat-space limit of holographic defect correlators in position space","ref_index":20,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GIRJU2QF33HY4R3N74HAIFYVEG","json":"https://pith.science/pith/GIRJU2QF33HY4R3N74HAIFYVEG.json","graph_json":"https://pith.science/api/pith-number/GIRJU2QF33HY4R3N74HAIFYVEG/graph.json","events_json":"https://pith.science/api/pith-number/GIRJU2QF33HY4R3N74HAIFYVEG/events.json","paper":"https://pith.science/paper/GIRJU2QF"},"agent_actions":{"view_html":"https://pith.science/pith/GIRJU2QF33HY4R3N74HAIFYVEG","download_json":"https://pith.science/pith/GIRJU2QF33HY4R3N74HAIFYVEG.json","view_paper":"https://pith.science/paper/GIRJU2QF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2405.10862&json=true","fetch_graph":"https://pith.science/api/pith-number/GIRJU2QF33HY4R3N74HAIFYVEG/graph.json","fetch_events":"https://pith.science/api/pith-number/GIRJU2QF33HY4R3N74HAIFYVEG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GIRJU2QF33HY4R3N74HAIFYVEG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GIRJU2QF33HY4R3N74HAIFYVEG/action/storage_attestation","attest_author":"https://pith.science/pith/GIRJU2QF33HY4R3N74HAIFYVEG/action/author_attestation","sign_citation":"https://pith.science/pith/GIRJU2QF33HY4R3N74HAIFYVEG/action/citation_signature","submit_replication":"https://pith.science/pith/GIRJU2QF33HY4R3N74HAIFYVEG/action/replication_record"}},"created_at":"2026-07-05T08:20:17.990372+00:00","updated_at":"2026-07-05T08:20:17.990372+00:00"}