{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:TQGW3WCHEML3LU5MKQZB72FJO6","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":"3f3eb6f4ea5c9c143adfde49f41c916a8818c38f8c17e72450a252c1bdaccaea","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-09-15T12:51:45Z","title_canon_sha256":"16acbc9bd6aed77f1f4b16eccfc35642d75de4afe740e09b51bbc0bdf27c0445"},"schema_version":"1.0","source":{"id":"hep-ph/0509157","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0509157","created_at":"2026-05-18T04:37:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0509157v4","created_at":"2026-05-18T04:37:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0509157","created_at":"2026-05-18T04:37:00Z"},{"alias_kind":"pith_short_12","alias_value":"TQGW3WCHEML3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"TQGW3WCHEML3LU5M","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"TQGW3WCH","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:abb36904bdd16934ae316a4f3153f9ca69bbd75a2ba036dfbc5035fb79d4edc7","target":"graph","created_at":"2026-05-18T04:37:00Z","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 present the complete analytical result for the two-loop logarithmically enhanced contributions to the high energy asymptotic behavior of the vector form factor and the four-fermion cross section in a spontaneously broken SU(2) gauge model. On the basis of this result we derive the dominant two-loop electroweak corrections to the neutral current four-fermion processes at high energies. Previously neglected effects of the gauge boson mass difference are included through the next-to-next-to-leading logarithmic approximation.","authors_text":"Alexander A. Penin, Bernd Jantzen, Johann H. K\\\"uhn, Vladimir A. Smirnov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2005-09-15T12:51:45Z","title":"Two-Loop Electroweak Logarithms in Four-Fermion Processes at High Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0509157","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":"sha256:259289f03f79cf44858c1eb690060c3a81ca78d403d0d5d622d815baad963646","target":"record","created_at":"2026-05-18T04:37:00Z","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":"3f3eb6f4ea5c9c143adfde49f41c916a8818c38f8c17e72450a252c1bdaccaea","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-09-15T12:51:45Z","title_canon_sha256":"16acbc9bd6aed77f1f4b16eccfc35642d75de4afe740e09b51bbc0bdf27c0445"},"schema_version":"1.0","source":{"id":"hep-ph/0509157","kind":"arxiv","version":4}},"canonical_sha256":"9c0d6dd8472317b5d3ac54321fe8a977b488266188c02f9a1685a0d3f7d0e54b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c0d6dd8472317b5d3ac54321fe8a977b488266188c02f9a1685a0d3f7d0e54b","first_computed_at":"2026-05-18T04:37:00.347848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:00.347848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qd10UAhwI3tUi1UwWc/m9oYiRUT2eLXwvnCgsgk70YsQOlH4SCU7l7YJg1KRqSn3kbXE8fAas4PVXTMg5dhWCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:00.348608Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0509157","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:259289f03f79cf44858c1eb690060c3a81ca78d403d0d5d622d815baad963646","sha256:abb36904bdd16934ae316a4f3153f9ca69bbd75a2ba036dfbc5035fb79d4edc7"],"state_sha256":"fd4a6091258f737336eeab7b502854ca54adfa26a0e148a0737f94e4310cfbf6"}