{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:AC33TU2I2RIAC5WVMOFPWTBIFB","short_pith_number":"pith:AC33TU2I","schema_version":"1.0","canonical_sha256":"00b7b9d348d4500176d5638afb4c28286d1482fab59f77ef61d8ebfd027a60ec","source":{"kind":"arxiv","id":"1811.09638","version":2},"attestation_state":"computed","paper":{"title":"Deformations of the circular Wilson loop and spectral (in)dependence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Amit Dekel, Diego Trancanelli, Edoardo Vescovi, Michael Cooke, Nadav Drukker","submitted_at":"2018-11-23T19:00:06Z","abstract_excerpt":"In this paper we study the expectation value of deformations of the circular Wilson loop in ${\\cal N}=4$ super Yang-Mills theory. The leading order deformation, known as the Bremsstrahlung function, can be obtained exactly from supersymmetric localization, so our focus is on deformations at higher orders. We find simple expressions for the expectation values for generic deformations at the quartic order at one-loop at weak coupling and at leading order at strong coupling. We also present a very simple algorithm (not requiring integration) to evaluate the two-loop result. We find that an exact "},"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":"1811.09638","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-11-23T19:00:06Z","cross_cats_sorted":[],"title_canon_sha256":"2a1f3d75b43b9618e94b3a08e0e6092ed71663eb339b6fa22908e390c7ed7345","abstract_canon_sha256":"1e7f87841e913cb75fd7a8d1d802745a7e4d7d9f401108dd1319b39909fc60b0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:29.128145Z","signature_b64":"Flvs9evIgLkuaCIyzodXaEuavLR/Xs7Ixa9rm74BXXOt0NYN83X9/12Zvyy3ifrxfVE48WP7ihucGv1+iuRoBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00b7b9d348d4500176d5638afb4c28286d1482fab59f77ef61d8ebfd027a60ec","last_reissued_at":"2026-05-17T23:56:29.127578Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:29.127578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deformations of the circular Wilson loop and spectral (in)dependence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Amit Dekel, Diego Trancanelli, Edoardo Vescovi, Michael Cooke, Nadav Drukker","submitted_at":"2018-11-23T19:00:06Z","abstract_excerpt":"In this paper we study the expectation value of deformations of the circular Wilson loop in ${\\cal N}=4$ super Yang-Mills theory. The leading order deformation, known as the Bremsstrahlung function, can be obtained exactly from supersymmetric localization, so our focus is on deformations at higher orders. We find simple expressions for the expectation values for generic deformations at the quartic order at one-loop at weak coupling and at leading order at strong coupling. We also present a very simple algorithm (not requiring integration) to evaluate the two-loop result. We find that an exact "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.09638","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":"1811.09638","created_at":"2026-05-17T23:56:29.127659+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.09638v2","created_at":"2026-05-17T23:56:29.127659+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.09638","created_at":"2026-05-17T23:56:29.127659+00:00"},{"alias_kind":"pith_short_12","alias_value":"AC33TU2I2RIA","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"AC33TU2I2RIAC5WV","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"AC33TU2I","created_at":"2026-05-18T12:32:13.499390+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/AC33TU2I2RIAC5WVMOFPWTBIFB","json":"https://pith.science/pith/AC33TU2I2RIAC5WVMOFPWTBIFB.json","graph_json":"https://pith.science/api/pith-number/AC33TU2I2RIAC5WVMOFPWTBIFB/graph.json","events_json":"https://pith.science/api/pith-number/AC33TU2I2RIAC5WVMOFPWTBIFB/events.json","paper":"https://pith.science/paper/AC33TU2I"},"agent_actions":{"view_html":"https://pith.science/pith/AC33TU2I2RIAC5WVMOFPWTBIFB","download_json":"https://pith.science/pith/AC33TU2I2RIAC5WVMOFPWTBIFB.json","view_paper":"https://pith.science/paper/AC33TU2I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.09638&json=true","fetch_graph":"https://pith.science/api/pith-number/AC33TU2I2RIAC5WVMOFPWTBIFB/graph.json","fetch_events":"https://pith.science/api/pith-number/AC33TU2I2RIAC5WVMOFPWTBIFB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AC33TU2I2RIAC5WVMOFPWTBIFB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AC33TU2I2RIAC5WVMOFPWTBIFB/action/storage_attestation","attest_author":"https://pith.science/pith/AC33TU2I2RIAC5WVMOFPWTBIFB/action/author_attestation","sign_citation":"https://pith.science/pith/AC33TU2I2RIAC5WVMOFPWTBIFB/action/citation_signature","submit_replication":"https://pith.science/pith/AC33TU2I2RIAC5WVMOFPWTBIFB/action/replication_record"}},"created_at":"2026-05-17T23:56:29.127659+00:00","updated_at":"2026-05-17T23:56:29.127659+00:00"}