{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:IGUSXSAUPQDSU3DUCXDH7TCQ2R","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8634f5d0300cc2f3469dbfc472135cb14bdccd4fe1617ce363812214f1a4d0e8","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-17T18:00:01Z","title_canon_sha256":"6baf337fb84e6998d4ea7787dde0f560e27b6bbe3ac5c8f76e9e87a67be3da98"},"schema_version":"1.0","source":{"id":"2106.09728","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.09728","created_at":"2026-07-05T03:21:51Z"},{"alias_kind":"arxiv_version","alias_value":"2106.09728v2","created_at":"2026-07-05T03:21:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.09728","created_at":"2026-07-05T03:21:51Z"},{"alias_kind":"pith_short_12","alias_value":"IGUSXSAUPQDS","created_at":"2026-07-05T03:21:51Z"},{"alias_kind":"pith_short_16","alias_value":"IGUSXSAUPQDSU3DU","created_at":"2026-07-05T03:21:51Z"},{"alias_kind":"pith_short_8","alias_value":"IGUSXSAU","created_at":"2026-07-05T03:21:51Z"}],"graph_snapshots":[{"event_id":"sha256:c92e728c0566c4942530fc12b88e131af65b59bb43ee407c35f283693406f2a1","target":"graph","created_at":"2026-07-05T03:21:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2106.09728/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Stochastic Inflation is an important framework for understanding the physics of de Sitter space and the phenomenology of inflation. In the leading approximation, this approach results in a Fokker-Planck equation that calculates the probability distribution for a light scalar field as a function of time. Despite its successes, the quantum field theoretic origins and the range of validity for this equation have remained elusive, and establishing a formalism to systematically incorporate higher order effects has been an area of active study. In this paper, we calculate the next-to-next-to-leading","authors_text":"Akhil Premkumar, Alexander Ridgway, Daniel Green, Timothy Cohen","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-17T18:00:01Z","title":"Stochastic Inflation at NNLO"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.09728","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:475fceb8d840f829ad8f01c796b95cbfad60874cfc9b3fe5e978bc5d2a8c97f4","target":"record","created_at":"2026-07-05T03:21:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8634f5d0300cc2f3469dbfc472135cb14bdccd4fe1617ce363812214f1a4d0e8","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-17T18:00:01Z","title_canon_sha256":"6baf337fb84e6998d4ea7787dde0f560e27b6bbe3ac5c8f76e9e87a67be3da98"},"schema_version":"1.0","source":{"id":"2106.09728","kind":"arxiv","version":2}},"canonical_sha256":"41a92bc8147c072a6c7415c67fcc50d47e806339f35109111224df8def195d57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41a92bc8147c072a6c7415c67fcc50d47e806339f35109111224df8def195d57","first_computed_at":"2026-07-05T03:21:51.644582Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:21:51.644582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7sgIcFzxNK8Or7jWO61aOijFsUlW2iPS9I0y1LZAfwYEN73pvYQ8rszyRf9b+hJ8m9y3QQNobuPQx1Ge+PqpDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:21:51.645019Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.09728","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:475fceb8d840f829ad8f01c796b95cbfad60874cfc9b3fe5e978bc5d2a8c97f4","sha256:c92e728c0566c4942530fc12b88e131af65b59bb43ee407c35f283693406f2a1"],"state_sha256":"4377880e10f3fc124644689c0f5172bab3bcf90773e783066b23f6e1f665e2ba"}