{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:LETZOIVPMJHSRNHIGJYM6CI3A2","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":"03a8a5ef02e6f026ce4c3bacd5a2452f2017b4bccbd9fafd292d7379a0fff4f2","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-12-27T16:43:35Z","title_canon_sha256":"3acc4d3184b9ccf9936a3e5e1f28f3fcb8a48244b02a34f175283390a53c547e"},"schema_version":"1.0","source":{"id":"hep-ph/0612329","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0612329","created_at":"2026-05-18T04:38:27Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0612329v1","created_at":"2026-05-18T04:38:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0612329","created_at":"2026-05-18T04:38:27Z"},{"alias_kind":"pith_short_12","alias_value":"LETZOIVPMJHS","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"LETZOIVPMJHSRNHI","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"LETZOIVP","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:ea9e8687900e9e2eea2fea20a7a1ff203c459e8a5aef1da69f4b172e5d87cc18","target":"graph","created_at":"2026-05-18T04:38:27Z","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 evaluate the complete four-loop anomalous dimension matrix that is necessary for determining the effective flavour-changing neutral current couplings qbar-q'-gamma and qbar-q'-g at the next-to-next-to-leading order in QCD. The resulting O(alpha_s^2(mu_b)) correction to the B -> X_s gamma branching ratio amounts to around -2.9% for mu_b = 5 GeV, and -4.4% for mu_b = 2.5 GeV","authors_text":"Michal Czakon, Mikolaj Misiak, Ulrich Haisch","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2006-12-27T16:43:35Z","title":"Four-Loop Anomalous Dimensions for Radiative Flavour-Changing Decays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0612329","kind":"arxiv","version":1},"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:d2efa015ac97d24254bbc209b473f5ccc5835d1f621db3a730770fcec339636e","target":"record","created_at":"2026-05-18T04:38:27Z","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":"03a8a5ef02e6f026ce4c3bacd5a2452f2017b4bccbd9fafd292d7379a0fff4f2","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-12-27T16:43:35Z","title_canon_sha256":"3acc4d3184b9ccf9936a3e5e1f28f3fcb8a48244b02a34f175283390a53c547e"},"schema_version":"1.0","source":{"id":"hep-ph/0612329","kind":"arxiv","version":1}},"canonical_sha256":"59279722af624f28b4e83270cf091b06affeaccd3688965eab074a8e53e382f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59279722af624f28b4e83270cf091b06affeaccd3688965eab074a8e53e382f1","first_computed_at":"2026-05-18T04:38:27.132646Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:27.132646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1e0yVEwZwSTbhCzf95657RtGcZYq8HwEY7awyM5wMbRICoUZV3ibU6KaCtBdGd48Lg6wRqqsKY+U6ocDd4prDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:27.133100Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0612329","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2efa015ac97d24254bbc209b473f5ccc5835d1f621db3a730770fcec339636e","sha256:ea9e8687900e9e2eea2fea20a7a1ff203c459e8a5aef1da69f4b172e5d87cc18"],"state_sha256":"2f43881846e9e62a277a5c4a545cf96d4a47f486bd8b6ee1a62fc0e054a7b465"}