{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:W4SYOZC4LZ7TN2K3Y3G6NKQHDR","short_pith_number":"pith:W4SYOZC4","schema_version":"1.0","canonical_sha256":"b72587645c5e7f36e95bc6cde6aa071c789c2866f14e4dd89cc69774a27da510","source":{"kind":"arxiv","id":"2405.03157","version":3},"attestation_state":"computed","paper":{"title":"Primordial power spectrum at N3LO in effective theories of inflation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Eugenio Bianchi, Mauricio Gamonal","submitted_at":"2024-05-06T04:25:55Z","abstract_excerpt":"We develop a systematic framework to compute the primordial power spectrum up to next-to-next-to-next to leading order (N3LO) in the Hubble-flow parameters for a large class of effective theories of inflation. We assume that the quadratic action for perturbations is characterized by two functions of time, the kinetic amplitude and the speed of sound, that are independent of the Fourier mode $k$. Using the Green's function method introduced by Stewart and Gong and extended by Auclair and Ringeval, we determine the primordial power spectrum fully expanded around a pivot scale up to N3LO, startin"},"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":"2405.03157","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-05-06T04:25:55Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"f8b9d27ff135b46ab0d5e9de7e00f3d2020fc955cea12000a9a5ce53a7a28c60","abstract_canon_sha256":"68ba90426c07ddfde63d2cedc2d70dca64ac47ac1ca401131b1ead7a86f8a4a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:35:32.672583Z","signature_b64":"Vo93t7S0GoqE/Y1aR7g6vzVyEPPmKt3JHHMcwNHx3vyeUDpWRNWPwl19xvbKOEX1TknunUFNTFSaiAJptwHWBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b72587645c5e7f36e95bc6cde6aa071c789c2866f14e4dd89cc69774a27da510","last_reissued_at":"2026-07-05T09:35:32.672160Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:35:32.672160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Primordial power spectrum at N3LO in effective theories of inflation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Eugenio Bianchi, Mauricio Gamonal","submitted_at":"2024-05-06T04:25:55Z","abstract_excerpt":"We develop a systematic framework to compute the primordial power spectrum up to next-to-next-to-next to leading order (N3LO) in the Hubble-flow parameters for a large class of effective theories of inflation. We assume that the quadratic action for perturbations is characterized by two functions of time, the kinetic amplitude and the speed of sound, that are independent of the Fourier mode $k$. Using the Green's function method introduced by Stewart and Gong and extended by Auclair and Ringeval, we determine the primordial power spectrum fully expanded around a pivot scale up to N3LO, startin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.03157","kind":"arxiv","version":3},"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/2405.03157/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":"2405.03157","created_at":"2026-07-05T09:35:32.672210+00:00"},{"alias_kind":"arxiv_version","alias_value":"2405.03157v3","created_at":"2026-07-05T09:35:32.672210+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.03157","created_at":"2026-07-05T09:35:32.672210+00:00"},{"alias_kind":"pith_short_12","alias_value":"W4SYOZC4LZ7T","created_at":"2026-07-05T09:35:32.672210+00:00"},{"alias_kind":"pith_short_16","alias_value":"W4SYOZC4LZ7TN2K3","created_at":"2026-07-05T09:35:32.672210+00:00"},{"alias_kind":"pith_short_8","alias_value":"W4SYOZC4","created_at":"2026-07-05T09:35:32.672210+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.09810","citing_title":"Inflationary interpretation of the gravitational-wave signal in the European Pulsar Timing Array DR2 with constraints","ref_index":81,"is_internal_anchor":false},{"citing_arxiv_id":"2605.31323","citing_title":"Time-reversed stochastic inflation in the quantum well","ref_index":24,"is_internal_anchor":false},{"citing_arxiv_id":"2501.06451","citing_title":"On Legacy of Starobinsky Inflation","ref_index":83,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/W4SYOZC4LZ7TN2K3Y3G6NKQHDR","json":"https://pith.science/pith/W4SYOZC4LZ7TN2K3Y3G6NKQHDR.json","graph_json":"https://pith.science/api/pith-number/W4SYOZC4LZ7TN2K3Y3G6NKQHDR/graph.json","events_json":"https://pith.science/api/pith-number/W4SYOZC4LZ7TN2K3Y3G6NKQHDR/events.json","paper":"https://pith.science/paper/W4SYOZC4"},"agent_actions":{"view_html":"https://pith.science/pith/W4SYOZC4LZ7TN2K3Y3G6NKQHDR","download_json":"https://pith.science/pith/W4SYOZC4LZ7TN2K3Y3G6NKQHDR.json","view_paper":"https://pith.science/paper/W4SYOZC4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2405.03157&json=true","fetch_graph":"https://pith.science/api/pith-number/W4SYOZC4LZ7TN2K3Y3G6NKQHDR/graph.json","fetch_events":"https://pith.science/api/pith-number/W4SYOZC4LZ7TN2K3Y3G6NKQHDR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W4SYOZC4LZ7TN2K3Y3G6NKQHDR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W4SYOZC4LZ7TN2K3Y3G6NKQHDR/action/storage_attestation","attest_author":"https://pith.science/pith/W4SYOZC4LZ7TN2K3Y3G6NKQHDR/action/author_attestation","sign_citation":"https://pith.science/pith/W4SYOZC4LZ7TN2K3Y3G6NKQHDR/action/citation_signature","submit_replication":"https://pith.science/pith/W4SYOZC4LZ7TN2K3Y3G6NKQHDR/action/replication_record"}},"created_at":"2026-07-05T09:35:32.672210+00:00","updated_at":"2026-07-05T09:35:32.672210+00:00"}