{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:TLRCNYKKPUH5I3KJV4JWD7OPMG","short_pith_number":"pith:TLRCNYKK","schema_version":"1.0","canonical_sha256":"9ae226e14a7d0fd46d49af1361fdcf61896eb6ab89c18a41267b3074fffede04","source":{"kind":"arxiv","id":"1907.08524","version":2},"attestation_state":"computed","paper":{"title":"Primordial power spectra for curved inflating universes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Will Handley","submitted_at":"2019-07-19T14:20:56Z","abstract_excerpt":"Exact numerical primordial primordial power spectra are computed and plotted for the for the best-fit Planck 2018 curved universe parameters. It is found that the spectra have generic cut-offs and oscillations within the observable window for the level of curvature allowed by current CMB measurements and provide a better fit to current data. Derivations for the Mukhanov-Sasaki equation for curved universes are presented and analysed, and theoretical implications for the quantum and classical initial conditions for inflation are discussed within the curved regime."},"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":"1907.08524","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-07-19T14:20:56Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3b550d40595ea6f115dfe1e0aee768100fe896ac5364896d626dbc200e606364","abstract_canon_sha256":"c68adbf343d152d81d054dc8134bbdff421c2e2f7d25b41e5006eb64e107af2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:26:37.668888Z","signature_b64":"1KKicb/nXXALnOrDDslrZ5rig4NciSrF4J30sCKcOxku3tV0IU4n/nMg6FgMtuArszrOGAzU5+BIrYYwR7kECw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ae226e14a7d0fd46d49af1361fdcf61896eb6ab89c18a41267b3074fffede04","last_reissued_at":"2026-07-05T00:26:37.668446Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:26:37.668446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Primordial power spectra for curved inflating universes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Will Handley","submitted_at":"2019-07-19T14:20:56Z","abstract_excerpt":"Exact numerical primordial primordial power spectra are computed and plotted for the for the best-fit Planck 2018 curved universe parameters. It is found that the spectra have generic cut-offs and oscillations within the observable window for the level of curvature allowed by current CMB measurements and provide a better fit to current data. Derivations for the Mukhanov-Sasaki equation for curved universes are presented and analysed, and theoretical implications for the quantum and classical initial conditions for inflation are discussed within the curved regime."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.08524","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1907.08524/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1907.08524","created_at":"2026-07-05T00:26:37.668518+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.08524v2","created_at":"2026-07-05T00:26:37.668518+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.08524","created_at":"2026-07-05T00:26:37.668518+00:00"},{"alias_kind":"pith_short_12","alias_value":"TLRCNYKKPUH5","created_at":"2026-07-05T00:26:37.668518+00:00"},{"alias_kind":"pith_short_16","alias_value":"TLRCNYKKPUH5I3KJ","created_at":"2026-07-05T00:26:37.668518+00:00"},{"alias_kind":"pith_short_8","alias_value":"TLRCNYKK","created_at":"2026-07-05T00:26:37.668518+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2512.07708","citing_title":"Bianchi cosmologies in a Thurston-based theory of gravity","ref_index":104,"is_internal_anchor":false},{"citing_arxiv_id":"2604.27103","citing_title":"Geodesically Complete Curvature-Bounce Inflation","ref_index":64,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TLRCNYKKPUH5I3KJV4JWD7OPMG","json":"https://pith.science/pith/TLRCNYKKPUH5I3KJV4JWD7OPMG.json","graph_json":"https://pith.science/api/pith-number/TLRCNYKKPUH5I3KJV4JWD7OPMG/graph.json","events_json":"https://pith.science/api/pith-number/TLRCNYKKPUH5I3KJV4JWD7OPMG/events.json","paper":"https://pith.science/paper/TLRCNYKK"},"agent_actions":{"view_html":"https://pith.science/pith/TLRCNYKKPUH5I3KJV4JWD7OPMG","download_json":"https://pith.science/pith/TLRCNYKKPUH5I3KJV4JWD7OPMG.json","view_paper":"https://pith.science/paper/TLRCNYKK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.08524&json=true","fetch_graph":"https://pith.science/api/pith-number/TLRCNYKKPUH5I3KJV4JWD7OPMG/graph.json","fetch_events":"https://pith.science/api/pith-number/TLRCNYKKPUH5I3KJV4JWD7OPMG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TLRCNYKKPUH5I3KJV4JWD7OPMG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TLRCNYKKPUH5I3KJV4JWD7OPMG/action/storage_attestation","attest_author":"https://pith.science/pith/TLRCNYKKPUH5I3KJV4JWD7OPMG/action/author_attestation","sign_citation":"https://pith.science/pith/TLRCNYKKPUH5I3KJV4JWD7OPMG/action/citation_signature","submit_replication":"https://pith.science/pith/TLRCNYKKPUH5I3KJV4JWD7OPMG/action/replication_record"}},"created_at":"2026-07-05T00:26:37.668518+00:00","updated_at":"2026-07-05T00:26:37.668518+00:00"}