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Temporal parametrisation by SL(2, R) transformations gives rise to an equivalence between theories with different time dependence's, including the special Case of no time dependence, a fact noticed by Mestschersky, Vinti and by Lynden-Bell. I point out that theories with time dependent dark energy densities admit three natural measures of time : atomic and astronomical and de Sitter related by temporal re-parametrizations and I extend Mestschersky-Vinti-Lynden-Bell's result to cover t"},"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":"1403.5431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-21T11:55:51Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"57bad0f35b629ee1fd0da6622bf1d35ba2275df08be5fa2f6de0284c8e80acd1","abstract_canon_sha256":"ea0e69e865dcae27bae5a9f274abe26dc4bc320e7087c27af814da04b2a097ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:56.360142Z","signature_b64":"tM6EWTm2RhN9ONPp6ERGaLWx5o5wT7FH7SZiVVeqyiYs9YWsp4XjA/RtO6Vy4yoap8uEeCXPWidlXus+ZEosCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7c239e04910348a042c525896282319314246bc47e7ee11491f3d28495b0c36","last_reissued_at":"2026-05-18T02:55:56.359485Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:56.359485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dark Energy and the Schwarzian Derivative","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"G.W. 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