{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:BIWYK6HB3ZCKQM3OYIQHWTR4T6","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":"f8f7d2e989f060a2e8916b412066a0704bf1f2ac070899778bde2426f1d354a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-04-13T17:56:57Z","title_canon_sha256":"5cb26cc4ae21740365465c4878d89c6392ce71be1c16514533362fe7970be723"},"schema_version":"1.0","source":{"id":"2104.06395","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.06395","created_at":"2026-07-05T04:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"2104.06395v4","created_at":"2026-07-05T04:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.06395","created_at":"2026-07-05T04:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"BIWYK6HB3ZCK","created_at":"2026-07-05T04:03:45Z"},{"alias_kind":"pith_short_16","alias_value":"BIWYK6HB3ZCKQM3O","created_at":"2026-07-05T04:03:45Z"},{"alias_kind":"pith_short_8","alias_value":"BIWYK6HB","created_at":"2026-07-05T04:03:45Z"}],"graph_snapshots":[{"event_id":"sha256:865de2fee8e808a92cd7fdcb8eca7a2d0dfcf546bff099b9d0b74fe72aa24995","target":"graph","created_at":"2026-07-05T04:03:45Z","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/2104.06395/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Nonequilibrium quantum field theory is often used to derive an approximation for the evolution of number densities and asymmetries in astroparticle models when a more precise treatment of quantum thermal effects is required. This work presents an alternative framework using the zero-temperature quantum field theory, $S$-matrix unitarity, and classical Boltzmann equation as starting points leading to a set of rules for calculations of thermal corrections to reaction rates. Statistical factors due to on-shell intermediate states are obtained from the cuts of forward diagrams with multiple specta","authors_text":"Peter Mat\\'ak, Tom\\'a\\v{s} Bla\\v{z}ek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-04-13T17:56:57Z","title":"Cutting rules on a cylinder: a bottom-up approach to quantum kinetic theory for the early universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.06395","kind":"arxiv","version":4},"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":"sha256:8be1fe31e79cc13221f9bceb09fc064320dcc1da8bef3703d1ad4cf1df0dc4c9","target":"record","created_at":"2026-07-05T04:03:45Z","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":"f8f7d2e989f060a2e8916b412066a0704bf1f2ac070899778bde2426f1d354a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-04-13T17:56:57Z","title_canon_sha256":"5cb26cc4ae21740365465c4878d89c6392ce71be1c16514533362fe7970be723"},"schema_version":"1.0","source":{"id":"2104.06395","kind":"arxiv","version":4}},"canonical_sha256":"0a2d8578e1de44a8336ec2207b4e3c9f9a4cba3f6309bdf1fe28f925be008f88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a2d8578e1de44a8336ec2207b4e3c9f9a4cba3f6309bdf1fe28f925be008f88","first_computed_at":"2026-07-05T04:03:45.627001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:03:45.627001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+useXqXcAQFEAjf6+RVPSGr2j3xXl6WbkeiCZi1610/+7KiaGCp9+FZJ+DyOe4MT7G6O0kpaDNEj8Uoz43mjAg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:03:45.627444Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.06395","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8be1fe31e79cc13221f9bceb09fc064320dcc1da8bef3703d1ad4cf1df0dc4c9","sha256:865de2fee8e808a92cd7fdcb8eca7a2d0dfcf546bff099b9d0b74fe72aa24995"],"state_sha256":"70f8f3f88d7de3f50faf3ec28fe3a2a90e13b5a3410065ff3e137121ab549446"}