{"paper":{"title":"Direct Experimental Test of Conformal Invariance via Grazing Scattering: A Proposal for X-ray and Neutron Experiments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A differential constraint on grazing scattering cross-sections provides a direct test of conformal invariance in critical phenomena.","cross_cats":["cond-mat.mtrl-sci","cond-mat.soft","cond-mat.str-el","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alessandro Podo, Slava Rychkov","submitted_at":"2026-05-07T18:00:01Z","abstract_excerpt":"We propose a test of conformal invariance in critical phenomena based on the study of a two-point correlation function in the presence of a boundary. This two-point function can be studied using X-ray or neutron scattering in the conditions of total reflection (so-called grazing scattering). The conformal Ward identity in momentum space is here expressed as a differential constraint on the scattering cross-section, as a function of the momentum transfer and the scattering angle. Experimental verification using X-rays and binary alloys appears well within the existing techniques, while feasibil"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"This would be the first direct experimental test of conformal invariance in critical phenomena, a symmetry widely assumed but never directly verified. Experimental verification, using e.g. binary alloys, appears well within the existing techniques.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the conformal Ward identity for a two-point function with a boundary translates cleanly into a measurable differential constraint on the grazing scattering cross-section without dominant corrections from finite-size effects, surface roughness, or non-universal contributions.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The paper proposes an experimental protocol for grazing-incidence X-ray or neutron scattering that would directly test conformal invariance in critical phenomena by verifying a momentum-space differential constraint on the scattering cross-section.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A differential constraint on grazing scattering cross-sections provides a direct test of conformal invariance in critical phenomena.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"920fff13c1125616a6c8cb0ed6b807bb0a318e184931bad7721b68203fb21315"},"source":{"id":"2605.06773","kind":"arxiv","version":2},"verdict":{"id":"81ac4c3c-082e-452d-a26f-f46f9d8a8445","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-11T00:45:47.601714Z","strongest_claim":"This would be the first direct experimental test of conformal invariance in critical phenomena, a symmetry widely assumed but never directly verified. Experimental verification, using e.g. binary alloys, appears well within the existing techniques.","one_line_summary":"The paper proposes an experimental protocol for grazing-incidence X-ray or neutron scattering that would directly test conformal invariance in critical phenomena by verifying a momentum-space differential constraint on the scattering cross-section.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the conformal Ward identity for a two-point function with a boundary translates cleanly into a measurable differential constraint on the grazing scattering cross-section without dominant corrections from finite-size effects, surface roughness, or non-universal contributions.","pith_extraction_headline":"A differential constraint on grazing scattering cross-sections provides a direct test of conformal invariance in critical phenomena."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.06773/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-20T12:02:03.862918Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-20T07:36:36.133875Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T18:01:19.059199Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T12:29:28.376491Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"578576182ec09e2637a41c71bfa800b19969373d0268dd7b1a5b065b56939a7a"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"8e56ab2acc81cdfd473c480392eeed7de840297ac9e60230048b30495d81e0f0"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}