{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5TMGDE5CAAL3R7UWSIN7AH2RMJ","short_pith_number":"pith:5TMGDE5C","canonical_record":{"source":{"id":"1607.08375","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-07-28T09:37:13Z","cross_cats_sorted":[],"title_canon_sha256":"cb2f46afaedb6f917986c8d0c414ff5fe16aaaf0faa93d51ed83bf4c719b3005","abstract_canon_sha256":"f3453fb8b8608c9052a4329949bb2321d49313ea0c8c11e1bed56a3fa00f6e02"},"schema_version":"1.0"},"canonical_sha256":"ecd86193a20017b8fe96921bf01f51625cd0ddc893ce708aef4a8afe628c677b","source":{"kind":"arxiv","id":"1607.08375","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.08375","created_at":"2026-05-18T01:03:32Z"},{"alias_kind":"arxiv_version","alias_value":"1607.08375v2","created_at":"2026-05-18T01:03:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.08375","created_at":"2026-05-18T01:03:32Z"},{"alias_kind":"pith_short_12","alias_value":"5TMGDE5CAAL3","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5TMGDE5CAAL3R7UW","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5TMGDE5C","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5TMGDE5CAAL3R7UWSIN7AH2RMJ","target":"record","payload":{"canonical_record":{"source":{"id":"1607.08375","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-07-28T09:37:13Z","cross_cats_sorted":[],"title_canon_sha256":"cb2f46afaedb6f917986c8d0c414ff5fe16aaaf0faa93d51ed83bf4c719b3005","abstract_canon_sha256":"f3453fb8b8608c9052a4329949bb2321d49313ea0c8c11e1bed56a3fa00f6e02"},"schema_version":"1.0"},"canonical_sha256":"ecd86193a20017b8fe96921bf01f51625cd0ddc893ce708aef4a8afe628c677b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:32.350763Z","signature_b64":"0gEmXLv0MjsgvJEW2/odyitVJqGt507AOwanWVRg7empUbyIavmShqo5kV7BSjwOnFlyurwPUGcpDv9RPy6jCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ecd86193a20017b8fe96921bf01f51625cd0ddc893ce708aef4a8afe628c677b","last_reissued_at":"2026-05-18T01:03:32.350232Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:32.350232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.08375","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":"2026-05-18T01:03:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rfOuHIQQzGuIbEkls2ShF+uhev8ewkjNTR/yFfhTglVqPlfpMSxFY3jBHHIcJemTLIoJjH5mDnECUickXxuGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T03:46:52.377741Z"},"content_sha256":"ca245e3252b6be8ad40f9f36037565213b915e845488b2c32af0bb40a511b3cc","schema_version":"1.0","event_id":"sha256:ca245e3252b6be8ad40f9f36037565213b915e845488b2c32af0bb40a511b3cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5TMGDE5CAAL3R7UWSIN7AH2RMJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The two-loop electroweak bosonic corrections to $\\sin^2\\theta_{\\rm eff}^{\\rm b}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Ayres Freitas, Ievgen Dubovyk, Janusz Gluza, Johann Usovitsch, Tord Riemann","submitted_at":"2016-07-28T09:37:13Z","abstract_excerpt":"The prediction of the effective electroweak mixing angle $\\sin^2\\theta_{\\rm eff}^{\\rm b}$ in the Standard Model at two-loop accuracy has now been completed by the first calculation of the bosonic two-loop corrections to the $Z{\\bar b}b$ vertex. Numerical predictions are presented in the form of a fitting formula as function of $M_Z, M_W, M_H, m_t$ and $\\Delta{\\alpha}$, ${\\alpha_{\\rm s}}$. For central input values, we obtain a relative correction of $\\Delta\\kappa_{\\rm b}^{(\\alpha^2,\\rm bos)} = -0.9855 \\times 10^{-4}$, amounting to about a quarter of the fermionic corrections, and corresponding "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.08375","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":""},"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":"2026-05-18T01:03:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"neYjRSJwvX70VpzrLFR6Wrfc+xVSMS7iyUCY4pd8oc9V1lTYxY/UTFkwjYy0fBSCBK2p+lvA6TpYpTaYKQwpDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T03:46:52.378480Z"},"content_sha256":"10aa952e0ddeeffa176b0892daa26152d1731a8ac4d1d931f2d3623a41ced035","schema_version":"1.0","event_id":"sha256:10aa952e0ddeeffa176b0892daa26152d1731a8ac4d1d931f2d3623a41ced035"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5TMGDE5CAAL3R7UWSIN7AH2RMJ/bundle.json","state_url":"https://pith.science/pith/5TMGDE5CAAL3R7UWSIN7AH2RMJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5TMGDE5CAAL3R7UWSIN7AH2RMJ/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":"2026-05-20T03:46:52Z","links":{"resolver":"https://pith.science/pith/5TMGDE5CAAL3R7UWSIN7AH2RMJ","bundle":"https://pith.science/pith/5TMGDE5CAAL3R7UWSIN7AH2RMJ/bundle.json","state":"https://pith.science/pith/5TMGDE5CAAL3R7UWSIN7AH2RMJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5TMGDE5CAAL3R7UWSIN7AH2RMJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5TMGDE5CAAL3R7UWSIN7AH2RMJ","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":"f3453fb8b8608c9052a4329949bb2321d49313ea0c8c11e1bed56a3fa00f6e02","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-07-28T09:37:13Z","title_canon_sha256":"cb2f46afaedb6f917986c8d0c414ff5fe16aaaf0faa93d51ed83bf4c719b3005"},"schema_version":"1.0","source":{"id":"1607.08375","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.08375","created_at":"2026-05-18T01:03:32Z"},{"alias_kind":"arxiv_version","alias_value":"1607.08375v2","created_at":"2026-05-18T01:03:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.08375","created_at":"2026-05-18T01:03:32Z"},{"alias_kind":"pith_short_12","alias_value":"5TMGDE5CAAL3","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5TMGDE5CAAL3R7UW","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5TMGDE5C","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:10aa952e0ddeeffa176b0892daa26152d1731a8ac4d1d931f2d3623a41ced035","target":"graph","created_at":"2026-05-18T01:03:32Z","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":"The prediction of the effective electroweak mixing angle $\\sin^2\\theta_{\\rm eff}^{\\rm b}$ in the Standard Model at two-loop accuracy has now been completed by the first calculation of the bosonic two-loop corrections to the $Z{\\bar b}b$ vertex. Numerical predictions are presented in the form of a fitting formula as function of $M_Z, M_W, M_H, m_t$ and $\\Delta{\\alpha}$, ${\\alpha_{\\rm s}}$. For central input values, we obtain a relative correction of $\\Delta\\kappa_{\\rm b}^{(\\alpha^2,\\rm bos)} = -0.9855 \\times 10^{-4}$, amounting to about a quarter of the fermionic corrections, and corresponding ","authors_text":"Ayres Freitas, Ievgen Dubovyk, Janusz Gluza, Johann Usovitsch, Tord Riemann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-07-28T09:37:13Z","title":"The two-loop electroweak bosonic corrections to $\\sin^2\\theta_{\\rm eff}^{\\rm b}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.08375","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:ca245e3252b6be8ad40f9f36037565213b915e845488b2c32af0bb40a511b3cc","target":"record","created_at":"2026-05-18T01:03:32Z","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":"f3453fb8b8608c9052a4329949bb2321d49313ea0c8c11e1bed56a3fa00f6e02","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-07-28T09:37:13Z","title_canon_sha256":"cb2f46afaedb6f917986c8d0c414ff5fe16aaaf0faa93d51ed83bf4c719b3005"},"schema_version":"1.0","source":{"id":"1607.08375","kind":"arxiv","version":2}},"canonical_sha256":"ecd86193a20017b8fe96921bf01f51625cd0ddc893ce708aef4a8afe628c677b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecd86193a20017b8fe96921bf01f51625cd0ddc893ce708aef4a8afe628c677b","first_computed_at":"2026-05-18T01:03:32.350232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:32.350232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0gEmXLv0MjsgvJEW2/odyitVJqGt507AOwanWVRg7empUbyIavmShqo5kV7BSjwOnFlyurwPUGcpDv9RPy6jCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:32.350763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.08375","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca245e3252b6be8ad40f9f36037565213b915e845488b2c32af0bb40a511b3cc","sha256:10aa952e0ddeeffa176b0892daa26152d1731a8ac4d1d931f2d3623a41ced035"],"state_sha256":"3e69c0e832ec21af381171eb45e378ef3a09d7d6db5cffed7fcc073378503c07"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tHGFRLuajSeLh35KMzlgQ9qZr3oPw5PH83SOcqozwGNf1olI/qAuA2v6d0+F5FXjwQk+gO6OQFH4HgSQWxL0AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T03:46:52.382559Z","bundle_sha256":"4bbd24027b2bdb001e957be589d0d6c6ab2f917dcd50938ac7e36330ed42ac7c"}}