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Concretely, we give constraints on the scalar spectral index $n_{s}$ and tensor-to scalar ratio $r$ for $\\Lambda$CDM $+r$ model according to the latest data from Plack 2018 TT,TE,EE+lowE+lensing (P18) and BICEP2/Keck 2015 season (BK15), i.e., $n_{s}=0.9659\\pm0.0044$ at $68\\%$ confidence level (CL) and $r<0.0623$ at $95\\%$CL. We find that the GNI model is favored by P18 plus BK15 in the ranges of $\\log_{10}(f/M_{p})=0.62^{+0.17}_{-0.18}$ "},"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":"1807.03596","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-07-10T12:46:53Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3bd6d4e651edd96481a9e5a0db4b45992b54b65c0ba83a4bb45139c299a41c5a","abstract_canon_sha256":"67d6bd9a3e81820bd03576e1f45c19e2df905f4dbe8504f4092eb02f3bf81183"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:15:20.885877Z","signature_b64":"xKWsI7MkUWnEr2X04ggFO8fPiJCrMqZwUtPB/Dv7UJ3HVx544cuYadd7Z1jWPYXiykzhGAiLvQTG1SNBQNbMBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e13c54c1287399efe9d02ae4e7dde5b24cbc70c0f9773ca067c3e91d3b0e8ed","last_reissued_at":"2026-07-05T01:15:20.885414Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:15:20.885414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constraints on the generalized natural inflation after Planck 2018","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Chu-Wen Sun, Hai-Zhou Xu, Jun-Wang Lu, Li-Jie Shou, Nan Zhang, Ya-Bo Wu","submitted_at":"2018-07-10T12:46:53Z","abstract_excerpt":"Based on the dynamics of single scalar field slow-roll inflation and the theory of reheating, we investigate the generalized natural inflationary (GNI) model. 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