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Using parameterizations eta(z) = 1 + eta_0 z and eta(z) = 1 + eta_1 z + eta_2 z^2, our best-fit results are eta_0 = 0.0147^{+0.056}_{-0.066}, and eta_"},"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":"1808.09331","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-08-28T14:36:43Z","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-ph"],"title_canon_sha256":"22316120b1ebc95b188bf621ae49266da6ca768a32906106e7931963aaf80137","abstract_canon_sha256":"d2ca6113cea4c7e475b402807e7303df7f7f1c4167625bd95828a0a9dd58e197"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:34.840981Z","signature_b64":"tlcLvPbDBoXR1np1twfGpV3wBNX9+UVbQyAKlBVDecyTjGD90CkgfSN7NI7QIHH5ZrkCPsK5lNdFm+Q3FimtBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a88a79774164d66eb48c7bf1f8d7837a6a4d126563be229d3dd9399e59bdc156","last_reissued_at":"2026-05-18T00:00:34.840555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:34.840555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Model-independent Test of the Cosmic Distance Duality Relation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","gr-qc","hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Cheng-Zong Ruan, Fulvio Melia, Tong-Jie Zhang","submitted_at":"2018-08-28T14:36:43Z","abstract_excerpt":"A validation of the cosmic distance duality (CDD) relation, eta(z)=(1+z)^2 d_A(z)/d_L(z)=1, coupling the luminosity (d_L) and angular-diameter (d_A) distances, is crucial because its violation would require exotic new physics. 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