{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ARB4RQRXCUTU7OVUXOLWIQR7IM","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":"ea869be37582af1214df176cd87d12ba0d8bb0dc39fa7ee355c0ea8b776f17dd","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-03T03:29:23Z","title_canon_sha256":"63ea50c7337d93c34ea3b28473be8c17ee9fcdc5f1af317a06244678d1fb8107"},"schema_version":"1.0","source":{"id":"1604.01015","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01015","created_at":"2026-05-18T01:17:46Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01015v1","created_at":"2026-05-18T01:17:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01015","created_at":"2026-05-18T01:17:46Z"},{"alias_kind":"pith_short_12","alias_value":"ARB4RQRXCUTU","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"ARB4RQRXCUTU7OVU","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"ARB4RQRX","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:c34d55e8debd96fc2ec1b9f72784e44fe950734fc5c23fb9713e294102302a3b","target":"graph","created_at":"2026-05-18T01:17:46Z","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"},"paper":{"abstract_excerpt":"Inflation in the early Universe is a grand phase transition which have produced the seeds of all the structures we now observe. We focus on the non-equilibrium aspect of this phase transition especially the inevitable infrared (IR) divergence associated to the the quantum and classical fields during the inflation. There is a long history of research for removing this IR divergence for healthy perturbation calculations. On the other hand, the same IR divergence is quite relevant and have developed the primordial density fluctuations in the early Universe. We develop a unified formalism in which","authors_text":"Masahiro Morikawa","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-03T03:29:23Z","title":"Infrared Divergence Separated for Stochastic Force - Langevin Evolution in the Inflationary Era"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01015","kind":"arxiv","version":1},"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":"sha256:388f909a59e49f4c197838ead8ebd56bc44159f995d11c9fb7aa0ee54550c53b","target":"record","created_at":"2026-05-18T01:17:46Z","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":"ea869be37582af1214df176cd87d12ba0d8bb0dc39fa7ee355c0ea8b776f17dd","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-03T03:29:23Z","title_canon_sha256":"63ea50c7337d93c34ea3b28473be8c17ee9fcdc5f1af317a06244678d1fb8107"},"schema_version":"1.0","source":{"id":"1604.01015","kind":"arxiv","version":1}},"canonical_sha256":"0443c8c23715274fbab4bb9764423f432b11dcf3d679f37de87f273afa58177e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0443c8c23715274fbab4bb9764423f432b11dcf3d679f37de87f273afa58177e","first_computed_at":"2026-05-18T01:17:46.696174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:46.696174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lseoeafHUGAl4y1xJdxZ5J5gcU1AIVOvbfg2QvD+KE5qhEt3Py2ran9EFQ+pGBJvK7iyJtG4KPt58MVAehX5Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:46.696835Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.01015","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:388f909a59e49f4c197838ead8ebd56bc44159f995d11c9fb7aa0ee54550c53b","sha256:c34d55e8debd96fc2ec1b9f72784e44fe950734fc5c23fb9713e294102302a3b"],"state_sha256":"1f1b694bb87179b181ec07e499b17d942b538e0702f26859bc9e9bcb8adba39a"}