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In leading order of the instanton packing fraction, the dimension-6 operator is effectively proportional to the topological charge density $(\\tilde F_{\\mu\\nu})^a (F^{\\mu\\nu})^a$, whose nucleon matrix element is given by the flavor-singlet axial charge and constrained by the $U(1)_A$ anomaly. The nucleon matrix element of the dimension-6 operator is obtained substantially larger than in other estimates, because of"},"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":"2103.13471","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-03-24T20:02:05Z","cross_cats_sorted":[],"title_canon_sha256":"0905720024a2bd699776f87e73fddce84a0be83c9a6e1f912035bf130c64ad62","abstract_canon_sha256":"520fe79b132c1134415c17bff5110ddef3187222fb530267e0d6aad402ac033a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:49:47.253769Z","signature_b64":"TntVYyMMlL5TguWDecVEBZjaraPb6MOja6UlJWkz3AxTa3V6VqexF7KVNDh0KrkrxWHqVddEGg/XZDfF9PfuCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7f591b2e2c0be67afa2280b968c400333a6fd9549f62197b6ca0d53f2ab143a","last_reissued_at":"2026-07-05T02:49:47.253337Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:49:47.253337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nucleon matrix element of Weinberg's CP-odd gluon operator from the instanton vacuum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C. 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