{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2VJXCYYIKNLU3752YUPOYA5XYG","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":"f87542fc9bdb9b6acde8ae4d69813d4dd6033cf9d9856d485ed3d6ae1d571e74","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-13T21:21:26Z","title_canon_sha256":"1b03224b72ae7fd66166c13bd41e0030a4fed32917b36a064462c91491c3198b"},"schema_version":"1.0","source":{"id":"1510.03901","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03901","created_at":"2026-05-18T01:21:04Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03901v3","created_at":"2026-05-18T01:21:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03901","created_at":"2026-05-18T01:21:04Z"},{"alias_kind":"pith_short_12","alias_value":"2VJXCYYIKNLU","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2VJXCYYIKNLU3752","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2VJXCYYI","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:e89fe020097d7295cbf896d0e5a10117afb8e26d899342000b6148bde16918f2","target":"graph","created_at":"2026-05-18T01:21:04Z","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":"We propose a general method to analytically solve transport equations during a cosmic phase transition without making approximations based on the assumption that any transport coefficient is large. Using the MSSM as an example we derive the solutions to a set of $3$ transport equations derived under the assumption of supergauge equilibrium and the diffusion approximation. The result is then rederived efficiently using a technique we present involving a parametrized ansatz which turns the process of deriving a solution into an almost elementary problem. We then show how both the derivation and ","authors_text":"G. A. White","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-13T21:21:26Z","title":"Beyond fast rate approximations: General analytic solutions to coupled transport equations during cosmic phase transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03901","kind":"arxiv","version":3},"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:f3c02186d5d57f3cc0386b9c9d419e930b5a1dadf971f8e4f416e6b624aa5f90","target":"record","created_at":"2026-05-18T01:21:04Z","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":"f87542fc9bdb9b6acde8ae4d69813d4dd6033cf9d9856d485ed3d6ae1d571e74","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-13T21:21:26Z","title_canon_sha256":"1b03224b72ae7fd66166c13bd41e0030a4fed32917b36a064462c91491c3198b"},"schema_version":"1.0","source":{"id":"1510.03901","kind":"arxiv","version":3}},"canonical_sha256":"d55371630853574dffbac51eec03b7c1b89025ec809cbd939e39f81aa29f5ec1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d55371630853574dffbac51eec03b7c1b89025ec809cbd939e39f81aa29f5ec1","first_computed_at":"2026-05-18T01:21:04.393944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:04.393944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UQb6blLwz5WpJDN7likkLZTrCbg+F68a1WmLVu1A13tz9OplG1cDaEDD77cetVgKdP/HZG4vNmxU+yYu0mu7CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:04.394546Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.03901","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3c02186d5d57f3cc0386b9c9d419e930b5a1dadf971f8e4f416e6b624aa5f90","sha256:e89fe020097d7295cbf896d0e5a10117afb8e26d899342000b6148bde16918f2"],"state_sha256":"c43f602d3ba08c2dcaca23a92876d03862ca6a1e99c961a2b49e7ffa12fba2eb"}