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Besides their central values for $\\mathcal C_{K^+K^-}$, $\\mathcal S_{K^+K^-}$ and $\\mathcal A^{\\Delta \\Gamma}_{K^+K^-}$ violate quantum mechanic CPT invariant sum rule (CPT sum rule) prediction of $|\\mathcal C_{K^+K^-}|^2 + |\\mathcal S_{K^+K^-}| ^2 + |\\mathcal A^{\\Delta \\Gamma}_{K^+K^-}|^2 = 1$ (LHCb data imply the sum to be $0.67\\pm 0.20$.), their values for $\\mathcal C_{K^+ K^-}= 0.24\\pm 0.06\\pm {0.02}$ and $\\mathcal C_{\\pi^+ \\pi^-} = - 0.24\\pm 0.07\\p"},"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":"1704.05788","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-19T15:56:50Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"6563f6df12e0fadd54d1c9544afed22054e6a97f955ce1f878102f42c7f46462","abstract_canon_sha256":"66aa6d972b2e36b545fc8425a7e0c681b0b6af7defe121f69686254e28bdb872"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:51.180139Z","signature_b64":"gZfBjKcNUGlbLAxJZzIEq8S406pP7678TNcFtVg5cB97pd78Vqb//VIsS0szG9nQHGMZgGypiZjivOh2GTyyCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fe8925b514c548dd6a2d218f2721c1e45df8242f541e5e5c9d309a1956343f9","last_reissued_at":"2026-05-18T00:34:51.179373Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:51.179373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tests for CPT sum rule and U-spin violation in Time-dependent CP violation of $B^0_s \\to K^+ K^-$ and $B^0_d \\to \\pi^+ \\pi^-$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Bo Ren, Siao-Fong Li, Xiao-Gang He, Xing-Bo Yuan","submitted_at":"2017-04-19T15:56:50Z","abstract_excerpt":"Recent LHCb data for time-dependent CP violation in $B_d^0 \\to \\pi^+\\pi^-$ and $B^0_s\\to K^+K^-$ show deviations from theoretical predictions. Besides their central values for $\\mathcal C_{K^+K^-}$, $\\mathcal S_{K^+K^-}$ and $\\mathcal A^{\\Delta \\Gamma}_{K^+K^-}$ violate quantum mechanic CPT invariant sum rule (CPT sum rule) prediction of $|\\mathcal C_{K^+K^-}|^2 + |\\mathcal S_{K^+K^-}| ^2 + |\\mathcal A^{\\Delta \\Gamma}_{K^+K^-}|^2 = 1$ (LHCb data imply the sum to be $0.67\\pm 0.20$.), their values for $\\mathcal C_{K^+ K^-}= 0.24\\pm 0.06\\pm {0.02}$ and $\\mathcal C_{\\pi^+ \\pi^-} = - 0.24\\pm 0.07\\p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05788","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":"1704.05788","created_at":"2026-05-18T00:34:51.179489+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.05788v2","created_at":"2026-05-18T00:34:51.179489+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05788","created_at":"2026-05-18T00:34:51.179489+00:00"},{"alias_kind":"pith_short_12","alias_value":"B7UJEW2RJRKI","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"B7UJEW2RJRKI3VVC","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"B7UJEW2R","created_at":"2026-05-18T12:31:08.081275+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/B7UJEW2RJRKI3VVC2IMPE4Q4DZ","json":"https://pith.science/pith/B7UJEW2RJRKI3VVC2IMPE4Q4DZ.json","graph_json":"https://pith.science/api/pith-number/B7UJEW2RJRKI3VVC2IMPE4Q4DZ/graph.json","events_json":"https://pith.science/api/pith-number/B7UJEW2RJRKI3VVC2IMPE4Q4DZ/events.json","paper":"https://pith.science/paper/B7UJEW2R"},"agent_actions":{"view_html":"https://pith.science/pith/B7UJEW2RJRKI3VVC2IMPE4Q4DZ","download_json":"https://pith.science/pith/B7UJEW2RJRKI3VVC2IMPE4Q4DZ.json","view_paper":"https://pith.science/paper/B7UJEW2R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.05788&json=true","fetch_graph":"https://pith.science/api/pith-number/B7UJEW2RJRKI3VVC2IMPE4Q4DZ/graph.json","fetch_events":"https://pith.science/api/pith-number/B7UJEW2RJRKI3VVC2IMPE4Q4DZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B7UJEW2RJRKI3VVC2IMPE4Q4DZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B7UJEW2RJRKI3VVC2IMPE4Q4DZ/action/storage_attestation","attest_author":"https://pith.science/pith/B7UJEW2RJRKI3VVC2IMPE4Q4DZ/action/author_attestation","sign_citation":"https://pith.science/pith/B7UJEW2RJRKI3VVC2IMPE4Q4DZ/action/citation_signature","submit_replication":"https://pith.science/pith/B7UJEW2RJRKI3VVC2IMPE4Q4DZ/action/replication_record"}},"created_at":"2026-05-18T00:34:51.179489+00:00","updated_at":"2026-05-18T00:34:51.179489+00:00"}