{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:5HC5XO5L7FSD2NEG5EQV2KDHFW","short_pith_number":"pith:5HC5XO5L","schema_version":"1.0","canonical_sha256":"e9c5dbbbabf9643d3486e9215d28672db8157f5a25637f40e8b245c96759a9a5","source":{"kind":"arxiv","id":"1203.3895","version":1},"attestation_state":"computed","paper":{"title":"Integrating out Heavy Fields in Inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Mark G. Jackson","submitted_at":"2012-03-17T20:59:12Z","abstract_excerpt":"I present the procedure for integrating out quantum fields whose mass M is well above the Hubble scale H in de Sitter space. The effective interaction and density matrix are explicitly computed for a simple example and are found to be of order H/M, are nonlocally distributed in time and contain a highly oscillatory phase. This radical departure from the static space-time result demonstrates that these new tools are necessary for constructing effective inflationary potentials. The effective coupling naturally forms a perturbative series in the relative energy transferred \\Delta E/M, whose coeff"},"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":"1203.3895","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-17T20:59:12Z","cross_cats_sorted":[],"title_canon_sha256":"db9f51ce818432253fe6d80ac5769a3997c5a2da82e5bac09e71904c75f9c702","abstract_canon_sha256":"7d3d036fa9d758d7df3ef0e9a4e4939ce6879b2f84a6f8438bbc54a318a1ca92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:48.710227Z","signature_b64":"RpdybDbpMqMvzKXMvg2Opq3qwgvKxPHZ37fKTHSqPUuvkPSD4b3oJ7zVGORQdEMCVH6XTW4Ty20BJrONZO7aAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9c5dbbbabf9643d3486e9215d28672db8157f5a25637f40e8b245c96759a9a5","last_reissued_at":"2026-05-18T03:59:48.709828Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:48.709828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integrating out Heavy Fields in Inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Mark G. Jackson","submitted_at":"2012-03-17T20:59:12Z","abstract_excerpt":"I present the procedure for integrating out quantum fields whose mass M is well above the Hubble scale H in de Sitter space. The effective interaction and density matrix are explicitly computed for a simple example and are found to be of order H/M, are nonlocally distributed in time and contain a highly oscillatory phase. This radical departure from the static space-time result demonstrates that these new tools are necessary for constructing effective inflationary potentials. The effective coupling naturally forms a perturbative series in the relative energy transferred \\Delta E/M, whose coeff"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3895","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1203.3895","created_at":"2026-05-18T03:59:48.709892+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.3895v1","created_at":"2026-05-18T03:59:48.709892+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3895","created_at":"2026-05-18T03:59:48.709892+00:00"},{"alias_kind":"pith_short_12","alias_value":"5HC5XO5L7FSD","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"5HC5XO5L7FSD2NEG","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"5HC5XO5L","created_at":"2026-05-18T12:26:53.410803+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5HC5XO5L7FSD2NEG5EQV2KDHFW","json":"https://pith.science/pith/5HC5XO5L7FSD2NEG5EQV2KDHFW.json","graph_json":"https://pith.science/api/pith-number/5HC5XO5L7FSD2NEG5EQV2KDHFW/graph.json","events_json":"https://pith.science/api/pith-number/5HC5XO5L7FSD2NEG5EQV2KDHFW/events.json","paper":"https://pith.science/paper/5HC5XO5L"},"agent_actions":{"view_html":"https://pith.science/pith/5HC5XO5L7FSD2NEG5EQV2KDHFW","download_json":"https://pith.science/pith/5HC5XO5L7FSD2NEG5EQV2KDHFW.json","view_paper":"https://pith.science/paper/5HC5XO5L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.3895&json=true","fetch_graph":"https://pith.science/api/pith-number/5HC5XO5L7FSD2NEG5EQV2KDHFW/graph.json","fetch_events":"https://pith.science/api/pith-number/5HC5XO5L7FSD2NEG5EQV2KDHFW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5HC5XO5L7FSD2NEG5EQV2KDHFW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5HC5XO5L7FSD2NEG5EQV2KDHFW/action/storage_attestation","attest_author":"https://pith.science/pith/5HC5XO5L7FSD2NEG5EQV2KDHFW/action/author_attestation","sign_citation":"https://pith.science/pith/5HC5XO5L7FSD2NEG5EQV2KDHFW/action/citation_signature","submit_replication":"https://pith.science/pith/5HC5XO5L7FSD2NEG5EQV2KDHFW/action/replication_record"}},"created_at":"2026-05-18T03:59:48.709892+00:00","updated_at":"2026-05-18T03:59:48.709892+00:00"}