{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6PMOBTQLKQ623WAYN6FXWFU7I6","short_pith_number":"pith:6PMOBTQL","schema_version":"1.0","canonical_sha256":"f3d8e0ce0b543dadd8186f8b7b169f47bb650f5e879d71ca2432d7e74e7d9ff4","source":{"kind":"arxiv","id":"1504.04006","version":5},"attestation_state":"computed","paper":{"title":"Equality of hemisphere soft functions for $e^+e^-$, DIS and $pp$ collisions at $\\mathcal{O}(\\alpha_s^2)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Christopher Lee, Daekyoung Kang, Ou Z. Labun","submitted_at":"2015-04-15T19:58:51Z","abstract_excerpt":"We present a simple observation about soft amplitudes and soft functions appearing in factorizable cross sections in $ee$, $ep$, and $pp$ collisions that has not clearly been made in previous literature, namely, that the hemisphere soft functions that appear in event shape distributions in $e^+e^-\\to$ dijets, deep inelastic scattering (DIS), and in Drell-Yan (DY) processes are equal in perturbation theory up to $\\mathcal{O}(\\alpha_s^2)$, even though individual amplitudes may have opposite sign imaginary parts due to changing complex pole prescriptions in eikonal propagators for incoming vs. ou"},"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":"1504.04006","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-04-15T19:58:51Z","cross_cats_sorted":[],"title_canon_sha256":"dc6320e8515229f388559f46938ab43b3f763d28a10c14a1c246fd83f19b80bb","abstract_canon_sha256":"8babfd63a6dfac0c9acc40e04a71bb547486bd154ee520a40b840fcd83429838"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:18.882848Z","signature_b64":"fe6MdIVLyvKrcQCpjtR6WfJtlHaRIOO96W5krI83GTVof2xh2VQxtqAy3CpfOFx+oVjrKZp9+lKstuDfL8HlCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3d8e0ce0b543dadd8186f8b7b169f47bb650f5e879d71ca2432d7e74e7d9ff4","last_reissued_at":"2026-05-18T00:38:18.882027Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:18.882027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equality of hemisphere soft functions for $e^+e^-$, DIS and $pp$ collisions at $\\mathcal{O}(\\alpha_s^2)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Christopher Lee, Daekyoung Kang, Ou Z. Labun","submitted_at":"2015-04-15T19:58:51Z","abstract_excerpt":"We present a simple observation about soft amplitudes and soft functions appearing in factorizable cross sections in $ee$, $ep$, and $pp$ collisions that has not clearly been made in previous literature, namely, that the hemisphere soft functions that appear in event shape distributions in $e^+e^-\\to$ dijets, deep inelastic scattering (DIS), and in Drell-Yan (DY) processes are equal in perturbation theory up to $\\mathcal{O}(\\alpha_s^2)$, even though individual amplitudes may have opposite sign imaginary parts due to changing complex pole prescriptions in eikonal propagators for incoming vs. ou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04006","kind":"arxiv","version":5},"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":"1504.04006","created_at":"2026-05-18T00:38:18.882174+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.04006v5","created_at":"2026-05-18T00:38:18.882174+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04006","created_at":"2026-05-18T00:38:18.882174+00:00"},{"alias_kind":"pith_short_12","alias_value":"6PMOBTQLKQ62","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6PMOBTQLKQ623WAY","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6PMOBTQL","created_at":"2026-05-18T12:29:07.941421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.13167","citing_title":"$N$-Jettiness Soft Functions Made Simple","ref_index":75,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6PMOBTQLKQ623WAYN6FXWFU7I6","json":"https://pith.science/pith/6PMOBTQLKQ623WAYN6FXWFU7I6.json","graph_json":"https://pith.science/api/pith-number/6PMOBTQLKQ623WAYN6FXWFU7I6/graph.json","events_json":"https://pith.science/api/pith-number/6PMOBTQLKQ623WAYN6FXWFU7I6/events.json","paper":"https://pith.science/paper/6PMOBTQL"},"agent_actions":{"view_html":"https://pith.science/pith/6PMOBTQLKQ623WAYN6FXWFU7I6","download_json":"https://pith.science/pith/6PMOBTQLKQ623WAYN6FXWFU7I6.json","view_paper":"https://pith.science/paper/6PMOBTQL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.04006&json=true","fetch_graph":"https://pith.science/api/pith-number/6PMOBTQLKQ623WAYN6FXWFU7I6/graph.json","fetch_events":"https://pith.science/api/pith-number/6PMOBTQLKQ623WAYN6FXWFU7I6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6PMOBTQLKQ623WAYN6FXWFU7I6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6PMOBTQLKQ623WAYN6FXWFU7I6/action/storage_attestation","attest_author":"https://pith.science/pith/6PMOBTQLKQ623WAYN6FXWFU7I6/action/author_attestation","sign_citation":"https://pith.science/pith/6PMOBTQLKQ623WAYN6FXWFU7I6/action/citation_signature","submit_replication":"https://pith.science/pith/6PMOBTQLKQ623WAYN6FXWFU7I6/action/replication_record"}},"created_at":"2026-05-18T00:38:18.882174+00:00","updated_at":"2026-05-18T00:38:18.882174+00:00"}