{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CJWMA7EHQPJIMPSLWBZRDW7J5T","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":"765d2bc62232c66c2533dd890e043bfaa970b78c140a620fe668dcb10ddd872b","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-07-24T08:03:43Z","title_canon_sha256":"dbc912db9db882e96dc476d2ec1653e37512b3b036d10de45338d88789343222"},"schema_version":"1.0","source":{"id":"2407.17074","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.17074","created_at":"2026-07-05T09:21:47Z"},{"alias_kind":"arxiv_version","alias_value":"2407.17074v2","created_at":"2026-07-05T09:21:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.17074","created_at":"2026-07-05T09:21:47Z"},{"alias_kind":"pith_short_12","alias_value":"CJWMA7EHQPJI","created_at":"2026-07-05T09:21:47Z"},{"alias_kind":"pith_short_16","alias_value":"CJWMA7EHQPJIMPSL","created_at":"2026-07-05T09:21:47Z"},{"alias_kind":"pith_short_8","alias_value":"CJWMA7EH","created_at":"2026-07-05T09:21:47Z"}],"graph_snapshots":[{"event_id":"sha256:e2b88dbee52db8563cd0cc750cd6e76259fef6f357345c94aa839c9d1ba35bde","target":"graph","created_at":"2026-07-05T09:21:47Z","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/2407.17074/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"If the inflaton is a heavy scalar field, it may equilibrate slower than some other degrees of freedom, e.g. non-Abelian gauge bosons. In this case, perturbations in the inflaton field and in a thermal plasma coexist from a given moment onwards. We derive a gauge-invariant set of three coupled equations governing the time evolution of such a system. Despite singular coefficients, a reliable numerical solution can be obtained for a long time period, starting from phase oscillations inside the Hubble horizon, and extending until acoustic oscillations in a radiation-dominated universe. Benchmarks ","authors_text":"A. Rogelj, M. Laine, S. Procacci","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-07-24T08:03:43Z","title":"Evolution of coupled scalar perturbations through smooth reheating. I. Dissipative regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.17074","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:a6db9c5f9f49e25c8edb872782df9d31ed5fdecfd70f94d732262cd9a4c10f32","target":"record","created_at":"2026-07-05T09:21:47Z","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":"765d2bc62232c66c2533dd890e043bfaa970b78c140a620fe668dcb10ddd872b","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-07-24T08:03:43Z","title_canon_sha256":"dbc912db9db882e96dc476d2ec1653e37512b3b036d10de45338d88789343222"},"schema_version":"1.0","source":{"id":"2407.17074","kind":"arxiv","version":2}},"canonical_sha256":"126cc07c8783d2863e4bb07311dbe9ecd77e964dba8381fcc5c5d8917a346325","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"126cc07c8783d2863e4bb07311dbe9ecd77e964dba8381fcc5c5d8917a346325","first_computed_at":"2026-07-05T09:21:47.290759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:21:47.290759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BAJmgnABwUfYx+BVO2Nd+Cb6GrZes5nfnU4uO9Jt6vXcuBPQkKrEV3ysXmnoQ/p4KR8ze+3ZWw9NS0TeWx0/Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:21:47.291450Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.17074","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6db9c5f9f49e25c8edb872782df9d31ed5fdecfd70f94d732262cd9a4c10f32","sha256:e2b88dbee52db8563cd0cc750cd6e76259fef6f357345c94aa839c9d1ba35bde"],"state_sha256":"d622e09139f5545222a6dbf01caeebdb8f70bb048a99b0cd405e21eff7589461"}