{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:5NEO6SP53V5PY6PZEOYFAL6W3L","short_pith_number":"pith:5NEO6SP5","schema_version":"1.0","canonical_sha256":"eb48ef49fddd7afc79f923b0502fd6dae8c6b59d630484d9a10246df326d064a","source":{"kind":"arxiv","id":"2102.12237","version":1},"attestation_state":"computed","paper":{"title":"The QED Initial State Corrections to the Forward-Backward Asymmetry of $e^+e^- \\to \\gamma^*/Z^{0*}$ to Higher Orders","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"A. De Freitas, J. Bl\\\"umlein, K. Sch\\\"onwald","submitted_at":"2021-02-24T11:59:59Z","abstract_excerpt":"The QED initial state corrections are calculated to the forward-backward asymmetry for $e^+e^- \\rightarrow \\gamma^*/{Z^{0}}^*$ in the leading logarithmic approximation to $O(\\alpha^6 L^6)$ extending the known corrections up to $O(\\alpha^2 L^2)$ in analytic form. We use the method of massive on-shell operator matrix elements and present the radiators both in Mellin-$N$ and momentum fraction $z$-space. Numerical results are presented for various energies around the $Z$-peak by also including energy cuts. These corrections are of relevance for the precision measurements at the FCC$\\_$ee."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2102.12237","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2021-02-24T11:59:59Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"b746971f2d9c39d054860b404dfb63d86f63571ad2b1f1aca4130c6d92ba3ea9","abstract_canon_sha256":"869a7871b45f5d25ebed04b244e83b4023dc643cd6e3d5616c3dda54ec1b6441"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:35:38.860994Z","signature_b64":"EJz+k7TLxicHkFODTxtMgbf4LtbaNEWkiTVyWoylstPn4i1Bc0IHkHfu0oJMijpnR+veMKysVN4jCLZ1h0B/AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb48ef49fddd7afc79f923b0502fd6dae8c6b59d630484d9a10246df326d064a","last_reissued_at":"2026-07-05T02:35:38.860586Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:35:38.860586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The QED Initial State Corrections to the Forward-Backward Asymmetry of $e^+e^- \\to \\gamma^*/Z^{0*}$ to Higher Orders","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"A. De Freitas, J. Bl\\\"umlein, K. Sch\\\"onwald","submitted_at":"2021-02-24T11:59:59Z","abstract_excerpt":"The QED initial state corrections are calculated to the forward-backward asymmetry for $e^+e^- \\rightarrow \\gamma^*/{Z^{0}}^*$ in the leading logarithmic approximation to $O(\\alpha^6 L^6)$ extending the known corrections up to $O(\\alpha^2 L^2)$ in analytic form. We use the method of massive on-shell operator matrix elements and present the radiators both in Mellin-$N$ and momentum fraction $z$-space. Numerical results are presented for various energies around the $Z$-peak by also including energy cuts. These corrections are of relevance for the precision measurements at the FCC$\\_$ee."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.12237","kind":"arxiv","version":1},"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/2102.12237/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2102.12237","created_at":"2026-07-05T02:35:38.860647+00:00"},{"alias_kind":"arxiv_version","alias_value":"2102.12237v1","created_at":"2026-07-05T02:35:38.860647+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.12237","created_at":"2026-07-05T02:35:38.860647+00:00"},{"alias_kind":"pith_short_12","alias_value":"5NEO6SP53V5P","created_at":"2026-07-05T02:35:38.860647+00:00"},{"alias_kind":"pith_short_16","alias_value":"5NEO6SP53V5PY6PZ","created_at":"2026-07-05T02:35:38.860647+00:00"},{"alias_kind":"pith_short_8","alias_value":"5NEO6SP5","created_at":"2026-07-05T02:35:38.860647+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5NEO6SP53V5PY6PZEOYFAL6W3L","json":"https://pith.science/pith/5NEO6SP53V5PY6PZEOYFAL6W3L.json","graph_json":"https://pith.science/api/pith-number/5NEO6SP53V5PY6PZEOYFAL6W3L/graph.json","events_json":"https://pith.science/api/pith-number/5NEO6SP53V5PY6PZEOYFAL6W3L/events.json","paper":"https://pith.science/paper/5NEO6SP5"},"agent_actions":{"view_html":"https://pith.science/pith/5NEO6SP53V5PY6PZEOYFAL6W3L","download_json":"https://pith.science/pith/5NEO6SP53V5PY6PZEOYFAL6W3L.json","view_paper":"https://pith.science/paper/5NEO6SP5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2102.12237&json=true","fetch_graph":"https://pith.science/api/pith-number/5NEO6SP53V5PY6PZEOYFAL6W3L/graph.json","fetch_events":"https://pith.science/api/pith-number/5NEO6SP53V5PY6PZEOYFAL6W3L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5NEO6SP53V5PY6PZEOYFAL6W3L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5NEO6SP53V5PY6PZEOYFAL6W3L/action/storage_attestation","attest_author":"https://pith.science/pith/5NEO6SP53V5PY6PZEOYFAL6W3L/action/author_attestation","sign_citation":"https://pith.science/pith/5NEO6SP53V5PY6PZEOYFAL6W3L/action/citation_signature","submit_replication":"https://pith.science/pith/5NEO6SP53V5PY6PZEOYFAL6W3L/action/replication_record"}},"created_at":"2026-07-05T02:35:38.860647+00:00","updated_at":"2026-07-05T02:35:38.860647+00:00"}