{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:447LOQLBQK2WRG5DBDKRTT6PDL","short_pith_number":"pith:447LOQLB","canonical_record":{"source":{"id":"hep-ph/0608099","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-09T15:06:56Z","cross_cats_sorted":[],"title_canon_sha256":"4c43155972d98c2205969173136c66f7eeda4c8bac543e643882b9dc6f85467c","abstract_canon_sha256":"86d5a45fde5c83e70480dd394784ba08c60b2a8f2a3ccd77df47df401e215891"},"schema_version":"1.0"},"canonical_sha256":"e73eb7416182b5689ba308d519cfcf1aee8bee82d0b14069d04b49a6e0dfa4f4","source":{"kind":"arxiv","id":"hep-ph/0608099","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0608099","created_at":"2026-07-04T17:01:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0608099v2","created_at":"2026-07-04T17:01:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0608099","created_at":"2026-07-04T17:01:47Z"},{"alias_kind":"pith_short_12","alias_value":"447LOQLBQK2W","created_at":"2026-07-04T17:01:47Z"},{"alias_kind":"pith_short_16","alias_value":"447LOQLBQK2WRG5D","created_at":"2026-07-04T17:01:47Z"},{"alias_kind":"pith_short_8","alias_value":"447LOQLB","created_at":"2026-07-04T17:01:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:447LOQLBQK2WRG5DBDKRTT6PDL","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0608099","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-09T15:06:56Z","cross_cats_sorted":[],"title_canon_sha256":"4c43155972d98c2205969173136c66f7eeda4c8bac543e643882b9dc6f85467c","abstract_canon_sha256":"86d5a45fde5c83e70480dd394784ba08c60b2a8f2a3ccd77df47df401e215891"},"schema_version":"1.0"},"canonical_sha256":"e73eb7416182b5689ba308d519cfcf1aee8bee82d0b14069d04b49a6e0dfa4f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:01:47.731409Z","signature_b64":"mKGaka2vscyWog19BnbMdfWYHrhpolYO/O9eokuB1M22JIfXOxB/eaPvbI6GUAf3QVQH+2vqKbVuPun31AsMAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e73eb7416182b5689ba308d519cfcf1aee8bee82d0b14069d04b49a6e0dfa4f4","last_reissued_at":"2026-07-04T17:01:47.730927Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:01:47.730927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0608099","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:01:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"64VDl8WJAgPbhKP++23zT/VMrdK+e70BXBEWITVR4+HEOyvrVB+RDfjaH9ZsxZdk7xj9ayUugcRIYL/P+0X1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T02:39:29.562900Z"},"content_sha256":"74cd05b6d53fb49c9836cce211ee46efdb4f7dd7c80213609915deb43c33494a","schema_version":"1.0","event_id":"sha256:74cd05b6d53fb49c9836cce211ee46efdb4f7dd7c80213609915deb43c33494a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:447LOQLBQK2WRG5DBDKRTT6PDL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electroweak two-loop corrections to the effective weak mixing angle","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Freitas, M. Awramik, M. Czakon","submitted_at":"2006-08-09T15:06:56Z","abstract_excerpt":"Recently exact results for the complete electroweak two-loop contributions to the effective weak mixing angle were published. This paper illustrates the techniques used for this computation, in particular the methods for evaluating the loop diagrams and the proper definition of Z-pole observables at next-to-next-to-leading order. Numerical results are presented in terms of simple parametrization formulae and compared in detail with a previous result of an expansion up to next-to-leading order in the top-quark mass. Finally, an estimate of the remaining theoretical uncertainties from unknown hi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0608099","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0608099/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:01:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OSQYzo6S0hZ0MMKxSQ4sbr1mUEAF3rLbchgUvqe7ncPUu/AR19G2F3wJnL2EzC/f6Ih+GgBVzVF/3+z8/GbNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T02:39:29.563425Z"},"content_sha256":"b1cc1299a592eda3af2166795b972d9b433c3a50b877fff739265ca7a646d620","schema_version":"1.0","event_id":"sha256:b1cc1299a592eda3af2166795b972d9b433c3a50b877fff739265ca7a646d620"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/447LOQLBQK2WRG5DBDKRTT6PDL/bundle.json","state_url":"https://pith.science/pith/447LOQLBQK2WRG5DBDKRTT6PDL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/447LOQLBQK2WRG5DBDKRTT6PDL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-22T02:39:29Z","links":{"resolver":"https://pith.science/pith/447LOQLBQK2WRG5DBDKRTT6PDL","bundle":"https://pith.science/pith/447LOQLBQK2WRG5DBDKRTT6PDL/bundle.json","state":"https://pith.science/pith/447LOQLBQK2WRG5DBDKRTT6PDL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/447LOQLBQK2WRG5DBDKRTT6PDL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:447LOQLBQK2WRG5DBDKRTT6PDL","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":"86d5a45fde5c83e70480dd394784ba08c60b2a8f2a3ccd77df47df401e215891","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-09T15:06:56Z","title_canon_sha256":"4c43155972d98c2205969173136c66f7eeda4c8bac543e643882b9dc6f85467c"},"schema_version":"1.0","source":{"id":"hep-ph/0608099","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0608099","created_at":"2026-07-04T17:01:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0608099v2","created_at":"2026-07-04T17:01:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0608099","created_at":"2026-07-04T17:01:47Z"},{"alias_kind":"pith_short_12","alias_value":"447LOQLBQK2W","created_at":"2026-07-04T17:01:47Z"},{"alias_kind":"pith_short_16","alias_value":"447LOQLBQK2WRG5D","created_at":"2026-07-04T17:01:47Z"},{"alias_kind":"pith_short_8","alias_value":"447LOQLB","created_at":"2026-07-04T17:01:47Z"}],"graph_snapshots":[{"event_id":"sha256:b1cc1299a592eda3af2166795b972d9b433c3a50b877fff739265ca7a646d620","target":"graph","created_at":"2026-07-04T17:01:47Z","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/hep-ph/0608099/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently exact results for the complete electroweak two-loop contributions to the effective weak mixing angle were published. This paper illustrates the techniques used for this computation, in particular the methods for evaluating the loop diagrams and the proper definition of Z-pole observables at next-to-next-to-leading order. Numerical results are presented in terms of simple parametrization formulae and compared in detail with a previous result of an expansion up to next-to-leading order in the top-quark mass. Finally, an estimate of the remaining theoretical uncertainties from unknown hi","authors_text":"A. Freitas, M. Awramik, M. Czakon","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2006-08-09T15:06:56Z","title":"Electroweak two-loop corrections to the effective weak mixing angle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0608099","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":"sha256:74cd05b6d53fb49c9836cce211ee46efdb4f7dd7c80213609915deb43c33494a","target":"record","created_at":"2026-07-04T17:01:47Z","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":"86d5a45fde5c83e70480dd394784ba08c60b2a8f2a3ccd77df47df401e215891","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-09T15:06:56Z","title_canon_sha256":"4c43155972d98c2205969173136c66f7eeda4c8bac543e643882b9dc6f85467c"},"schema_version":"1.0","source":{"id":"hep-ph/0608099","kind":"arxiv","version":2}},"canonical_sha256":"e73eb7416182b5689ba308d519cfcf1aee8bee82d0b14069d04b49a6e0dfa4f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e73eb7416182b5689ba308d519cfcf1aee8bee82d0b14069d04b49a6e0dfa4f4","first_computed_at":"2026-07-04T17:01:47.730927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:01:47.730927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mKGaka2vscyWog19BnbMdfWYHrhpolYO/O9eokuB1M22JIfXOxB/eaPvbI6GUAf3QVQH+2vqKbVuPun31AsMAg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:01:47.731409Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0608099","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74cd05b6d53fb49c9836cce211ee46efdb4f7dd7c80213609915deb43c33494a","sha256:b1cc1299a592eda3af2166795b972d9b433c3a50b877fff739265ca7a646d620"],"state_sha256":"7ca3f4efdc1465f5d0acc0d7ee72d884127d2583f159daa5afbdf2fd80042620"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kp9v5v1MR6wq46y1q6CyoUZXAlOh+5VAKjJ05OXSEGOAcixoIgqfUPL1y32lR4+lzNMd8/8fi1c1EcRouGWQDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T02:39:29.567126Z","bundle_sha256":"08bc2bdeb2490969d39602917123609c10cf90f41466ebd619f4a1e73eeee2da"}}