{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:O5IQ437KFKKQVYH4UCC7AV6NVI","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":"8c5c0f817dc8e22a2bc8501ad2678e2bcaacdb01a9b01cf70daab87c18b60ad9","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2024-09-04T15:38:27Z","title_canon_sha256":"f1d67218d10106ca168a9b87265e0cb1ce3241124cccba4d2ad35a3e5abc590f"},"schema_version":"1.0","source":{"id":"2409.02820","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.02820","created_at":"2026-07-05T09:34:57Z"},{"alias_kind":"arxiv_version","alias_value":"2409.02820v2","created_at":"2026-07-05T09:34:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.02820","created_at":"2026-07-05T09:34:57Z"},{"alias_kind":"pith_short_12","alias_value":"O5IQ437KFKKQ","created_at":"2026-07-05T09:34:57Z"},{"alias_kind":"pith_short_16","alias_value":"O5IQ437KFKKQVYH4","created_at":"2026-07-05T09:34:57Z"},{"alias_kind":"pith_short_8","alias_value":"O5IQ437K","created_at":"2026-07-05T09:34:57Z"}],"graph_snapshots":[{"event_id":"sha256:93bce0caa95e0ec8c5489c052a3d122b0caaf129807aff731f5aa8ecba1e45a4","target":"graph","created_at":"2026-07-05T09:34:57Z","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/2409.02820/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Instanton theory relates the rate constant for tunneling through a barrier to the periodic classical trajectory on the upturned potential energy surface whose period is $\\tau=\\hbar/(k_{\\rm B}T)$. Unfortunately, the standard theory is only applicable below the \"crossover temperature\", where the periodic orbit first appears. This paper presents a rigorous semiclassical ($\\hbar\\to0$) theory for the rate that is valid at any temperature. The theory is derived by combining Bleistein's method for generating uniform asymptotic expansions with a real-time modification of Richardson's flux-correlation ","authors_text":"Joseph E. Lawrence","cross_cats":["cond-mat.stat-mech","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2024-09-04T15:38:27Z","title":"Semiclassical instanton theory for reaction rates at any temperature: How a rigorous real-time derivation solves the crossover temperature problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.02820","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:ae7800cfdc180c0337661de7c37669bfa988fe55c64ad96844f091bd98983ac3","target":"record","created_at":"2026-07-05T09:34:57Z","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":"8c5c0f817dc8e22a2bc8501ad2678e2bcaacdb01a9b01cf70daab87c18b60ad9","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2024-09-04T15:38:27Z","title_canon_sha256":"f1d67218d10106ca168a9b87265e0cb1ce3241124cccba4d2ad35a3e5abc590f"},"schema_version":"1.0","source":{"id":"2409.02820","kind":"arxiv","version":2}},"canonical_sha256":"77510e6fea2a950ae0fca085f057cdaa27b3553d03008b3295b5cf6880e68230","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77510e6fea2a950ae0fca085f057cdaa27b3553d03008b3295b5cf6880e68230","first_computed_at":"2026-07-05T09:34:57.846121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:34:57.846121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H2jJpPpQ5m8FLmK1paKwzAB6zFlII+fiTe04zy/SkqA/3TsYambkZvA4ebVTeKB08To+H9VfqRfYkfidyExTBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:34:57.846598Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.02820","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae7800cfdc180c0337661de7c37669bfa988fe55c64ad96844f091bd98983ac3","sha256:93bce0caa95e0ec8c5489c052a3d122b0caaf129807aff731f5aa8ecba1e45a4"],"state_sha256":"90cfb1e98d1477c829bd29390d3d82b10f8789852aaa3f3416c78fe2e5ac9b6c"}