{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:36EKIYKXI4R3M3Y56DNAUPBYHK","short_pith_number":"pith:36EKIYKX","schema_version":"1.0","canonical_sha256":"df88a461574723b66f1df0da0a3c383aae1021eea9051f02ce8716c0e08c58d4","source":{"kind":"arxiv","id":"2401.08530","version":2},"attestation_state":"computed","paper":{"title":"Stochastic Inflation in General Relativity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"E. P. S. Shellard, Gerasimos I. Rigopoulos, Yoann L. Launay","submitted_at":"2024-01-16T17:50:23Z","abstract_excerpt":"We provide a formulation of Stochastic Inflation in full general relativity that goes beyond the slow-roll and separate universe approximations. We show how gauge invariant Langevin source terms can be obtained for the complete set of Einstein equations in their ADM formulation by providing a recipe for coarse-graining the spacetime in any small gauge. These stochastic source terms are defined in terms of the only dynamical scalar degree of freedom in single-field inflation and all depend simply on the first two time derivatives of the coarse-graining window function, on the gauge-invariant mo"},"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":"2401.08530","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-01-16T17:50:23Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"587384548a9cc512fdba066c256f371b48aea54102fe351c59ba87305e956d7d","abstract_canon_sha256":"c4a8d212f8dc19da4f950152d3992cc71b1fb8aa87b9877bdcf39c96c57e6d16"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T01:05:03.226522Z","signature_b64":"07LeWKxbJosnaesB5RTzNGLIP55KoWHI0rwlKIBZ3B1qypslcVAJzZexaZw6TG0CtWgfwlAqHfAn1PNOZhqvAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df88a461574723b66f1df0da0a3c383aae1021eea9051f02ce8716c0e08c58d4","last_reissued_at":"2026-06-09T01:05:03.225987Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T01:05:03.225987Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic Inflation in General Relativity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"E. P. S. Shellard, Gerasimos I. Rigopoulos, Yoann L. Launay","submitted_at":"2024-01-16T17:50:23Z","abstract_excerpt":"We provide a formulation of Stochastic Inflation in full general relativity that goes beyond the slow-roll and separate universe approximations. We show how gauge invariant Langevin source terms can be obtained for the complete set of Einstein equations in their ADM formulation by providing a recipe for coarse-graining the spacetime in any small gauge. These stochastic source terms are defined in terms of the only dynamical scalar degree of freedom in single-field inflation and all depend simply on the first two time derivatives of the coarse-graining window function, on the gauge-invariant mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.08530","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/2401.08530/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":"2401.08530","created_at":"2026-06-09T01:05:03.226056+00:00"},{"alias_kind":"arxiv_version","alias_value":"2401.08530v2","created_at":"2026-06-09T01:05:03.226056+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.08530","created_at":"2026-06-09T01:05:03.226056+00:00"},{"alias_kind":"pith_short_12","alias_value":"36EKIYKXI4R3","created_at":"2026-06-09T01:05:03.226056+00:00"},{"alias_kind":"pith_short_16","alias_value":"36EKIYKXI4R3M3Y5","created_at":"2026-06-09T01:05:03.226056+00:00"},{"alias_kind":"pith_short_8","alias_value":"36EKIYKX","created_at":"2026-06-09T01:05:03.226056+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2506.21423","citing_title":"Towards Stochastic Inflation in Higher-Curvature Gravity","ref_index":25,"is_internal_anchor":true},{"citing_arxiv_id":"2604.00978","citing_title":"Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\\delta{N}$ formalism","ref_index":62,"is_internal_anchor":true},{"citing_arxiv_id":"2605.11096","citing_title":"Stochastic inflation from a non-equilibrium renormalization group","ref_index":26,"is_internal_anchor":true},{"citing_arxiv_id":"2604.15219","citing_title":"Nonperturbative stochastic inflation in perturbative dynamical background","ref_index":81,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/36EKIYKXI4R3M3Y56DNAUPBYHK","json":"https://pith.science/pith/36EKIYKXI4R3M3Y56DNAUPBYHK.json","graph_json":"https://pith.science/api/pith-number/36EKIYKXI4R3M3Y56DNAUPBYHK/graph.json","events_json":"https://pith.science/api/pith-number/36EKIYKXI4R3M3Y56DNAUPBYHK/events.json","paper":"https://pith.science/paper/36EKIYKX"},"agent_actions":{"view_html":"https://pith.science/pith/36EKIYKXI4R3M3Y56DNAUPBYHK","download_json":"https://pith.science/pith/36EKIYKXI4R3M3Y56DNAUPBYHK.json","view_paper":"https://pith.science/paper/36EKIYKX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2401.08530&json=true","fetch_graph":"https://pith.science/api/pith-number/36EKIYKXI4R3M3Y56DNAUPBYHK/graph.json","fetch_events":"https://pith.science/api/pith-number/36EKIYKXI4R3M3Y56DNAUPBYHK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/36EKIYKXI4R3M3Y56DNAUPBYHK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/36EKIYKXI4R3M3Y56DNAUPBYHK/action/storage_attestation","attest_author":"https://pith.science/pith/36EKIYKXI4R3M3Y56DNAUPBYHK/action/author_attestation","sign_citation":"https://pith.science/pith/36EKIYKXI4R3M3Y56DNAUPBYHK/action/citation_signature","submit_replication":"https://pith.science/pith/36EKIYKXI4R3M3Y56DNAUPBYHK/action/replication_record"}},"created_at":"2026-06-09T01:05:03.226056+00:00","updated_at":"2026-06-09T01:05:03.226056+00:00"}