{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:2XLI5R7FD6CJYJV6MNVQUJ4VFR","short_pith_number":"pith:2XLI5R7F","schema_version":"1.0","canonical_sha256":"d5d68ec7e51f849c26be636b0a27952c5840e40487ac9d21ce69c1fee44b79c3","source":{"kind":"arxiv","id":"1012.4098","version":2},"attestation_state":"computed","paper":{"title":"Next-to-leading-order correction to pion form factor in $k_T$ factorization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Hao Zou, Hsiang-nan Li, Yue-Long Shen, Yu-Ming Wang","submitted_at":"2010-12-18T15:40:07Z","abstract_excerpt":"We calculate next-to-leading-order (NLO) correction to the pion electromagnetic form factor at leading twist in the $k_T$ factorization theorem. Partons off-shell by $k_T^2$ are considered in both quark diagrams and effective diagrams for the transverse-momentum-dependent (TMD) pion wave function. The light-cone singularities in the TMD pion wave function are regularized by rotating the Wilson lines away from the light cone. The soft divergences from gluon exchanges among initial- and final-state partons cancel exactly. We derive the infrared-finite $k_T$-dependent NLO hard kernel for the pion"},"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":"1012.4098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-12-18T15:40:07Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"5a0b1ddec580b9bfa0537ec6b2f2f879a344d2bc9e2e903138fd862b160ab2c5","abstract_canon_sha256":"8ec15701c4bfaa42f589705447a6132a72414c52bc87a57ff61e9e9ecda8238b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:06.896753Z","signature_b64":"8fY+JUBgqoNhRcUW0sex16MzlTURf3V/LzVljNCYIhZiX+VFenBNmUz37js+HpUopal76eiUfwxN48oS8n6gCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5d68ec7e51f849c26be636b0a27952c5840e40487ac9d21ce69c1fee44b79c3","last_reissued_at":"2026-05-18T02:23:06.896296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:06.896296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Next-to-leading-order correction to pion form factor in $k_T$ factorization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Hao Zou, Hsiang-nan Li, Yue-Long Shen, Yu-Ming Wang","submitted_at":"2010-12-18T15:40:07Z","abstract_excerpt":"We calculate next-to-leading-order (NLO) correction to the pion electromagnetic form factor at leading twist in the $k_T$ factorization theorem. Partons off-shell by $k_T^2$ are considered in both quark diagrams and effective diagrams for the transverse-momentum-dependent (TMD) pion wave function. The light-cone singularities in the TMD pion wave function are regularized by rotating the Wilson lines away from the light cone. The soft divergences from gluon exchanges among initial- and final-state partons cancel exactly. We derive the infrared-finite $k_T$-dependent NLO hard kernel for the pion"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4098","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1012.4098","created_at":"2026-05-18T02:23:06.896366+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.4098v2","created_at":"2026-05-18T02:23:06.896366+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4098","created_at":"2026-05-18T02:23:06.896366+00:00"},{"alias_kind":"pith_short_12","alias_value":"2XLI5R7FD6CJ","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"2XLI5R7FD6CJYJV6","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"2XLI5R7F","created_at":"2026-05-18T12:26:03.138858+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/2XLI5R7FD6CJYJV6MNVQUJ4VFR","json":"https://pith.science/pith/2XLI5R7FD6CJYJV6MNVQUJ4VFR.json","graph_json":"https://pith.science/api/pith-number/2XLI5R7FD6CJYJV6MNVQUJ4VFR/graph.json","events_json":"https://pith.science/api/pith-number/2XLI5R7FD6CJYJV6MNVQUJ4VFR/events.json","paper":"https://pith.science/paper/2XLI5R7F"},"agent_actions":{"view_html":"https://pith.science/pith/2XLI5R7FD6CJYJV6MNVQUJ4VFR","download_json":"https://pith.science/pith/2XLI5R7FD6CJYJV6MNVQUJ4VFR.json","view_paper":"https://pith.science/paper/2XLI5R7F","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.4098&json=true","fetch_graph":"https://pith.science/api/pith-number/2XLI5R7FD6CJYJV6MNVQUJ4VFR/graph.json","fetch_events":"https://pith.science/api/pith-number/2XLI5R7FD6CJYJV6MNVQUJ4VFR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2XLI5R7FD6CJYJV6MNVQUJ4VFR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2XLI5R7FD6CJYJV6MNVQUJ4VFR/action/storage_attestation","attest_author":"https://pith.science/pith/2XLI5R7FD6CJYJV6MNVQUJ4VFR/action/author_attestation","sign_citation":"https://pith.science/pith/2XLI5R7FD6CJYJV6MNVQUJ4VFR/action/citation_signature","submit_replication":"https://pith.science/pith/2XLI5R7FD6CJYJV6MNVQUJ4VFR/action/replication_record"}},"created_at":"2026-05-18T02:23:06.896366+00:00","updated_at":"2026-05-18T02:23:06.896366+00:00"}