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The quantum operator $\\daout{3,\\pm}$ is\n  derived explicitly in terms of the four helicity channels\n  (I)--(IV) of the scattering equation, and compared with the\n  helicity-summed result of Ref.~\\cite{PRL2026}.\n  Applied to two-graviton scattering, the contribution\n  $\\langle\\daout{3,+}\\,\\daout{3,-}\\rangle$ for the process\n  $h^+(K_1)+h^-(K_2)\\to h^+(K'_3)+h^-(K'_4)$ generates\n  simultaneously the $t$- and $u$-channel poles of the\n  tree-level g"},"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":"2605.19764","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-05-19T12:38:12Z","cross_cats_sorted":[],"title_canon_sha256":"b3368909ad30722f231b86f49b0848d21c9b7586bf64894d18cfbf3a52bdc4bd","abstract_canon_sha256":"35ae1e6cae072ce90fdda72f3f7bf9cd76c681df01cfd57a5449e9bd16651737"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T01:06:12.601058Z","signature_b64":"zpZAY+2sN6qmvGHz8yc4L7wjWdR9+5PmxJ52lByhf526m//ucUJYxYOvabS8r5vKlN9OGvAHZ52YpcyRGOSoBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd68385585a77f0ace2bf7f0c691f9c99df8c42438e6b9e2620906ecffc93cac","last_reissued_at":"2026-05-20T01:06:12.600341Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T01:06:12.600341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum graviton scattering with definite helicities in the null surface formulation, Part II: Third-order scattering and the exchange channels \\author{C.~N.~Kozameh \\and G.~O.~Depaola}","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Carlos Kozameh, Gerardo Depaola","submitted_at":"2026-05-19T12:38:12Z","abstract_excerpt":"We compute the third-order Bondi shear $\\sigma^+_3$ in the null\n  surface formulation (NSF) of general relativity with definite\n  graviton helicities. 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