{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:JFJXCICEGOQHHOZTDE5LL62IYH","short_pith_number":"pith:JFJXCICE","schema_version":"1.0","canonical_sha256":"495371204433a073bb33193ab5fb48c1c518a042d0fd7d27ffd595bdca70b8bb","source":{"kind":"arxiv","id":"2307.02286","version":3},"attestation_state":"computed","paper":{"title":"Subleading Effects in Soft-Gluon Emission at One-Loop in Massless QCD","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Felix Eschment, Micha{\\l} Czakon, Tom Schellenberger","submitted_at":"2023-07-05T13:40:25Z","abstract_excerpt":"We elucidate the structure of the next-to-leading-power soft-gluon expansion of arbitrary one-loop massless-QCD amplitudes. The expansion is given in terms of universal colour-, spin- and flavour-dependent operators acting on process-dependent gauge-invariant amplitudes. The result is proven using the method of expansion-by-regions and tested numerically on non-trivial processes with up to six partons. In principle, collinear-region contributions are expressed in terms of convolutions of universal jet operators and process-dependent amplitudes with two collinear partons. However, we evaluate t"},"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":"2307.02286","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-07-05T13:40:25Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"9e6ee1bbd454262d3ffbb4528ab64dd77cb21c5041ea63690d4623ee64108030","abstract_canon_sha256":"8a653d64928aac3cf526885cdfc18b55b04bf337b764816326251a9202b01382"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T01:09:36.377860Z","signature_b64":"ZOdEwW+qpbV9MxSyvPCPSxKc0shpp7yHB7NvA6oGKDRdOqr4/i5KuTXGkDb1xB+dUePZhKuTmmhUnkFVYL62DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"495371204433a073bb33193ab5fb48c1c518a042d0fd7d27ffd595bdca70b8bb","last_reissued_at":"2026-06-04T01:09:36.377410Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T01:09:36.377410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Subleading Effects in Soft-Gluon Emission at One-Loop in Massless QCD","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Felix Eschment, Micha{\\l} Czakon, Tom Schellenberger","submitted_at":"2023-07-05T13:40:25Z","abstract_excerpt":"We elucidate the structure of the next-to-leading-power soft-gluon expansion of arbitrary one-loop massless-QCD amplitudes. The expansion is given in terms of universal colour-, spin- and flavour-dependent operators acting on process-dependent gauge-invariant amplitudes. The result is proven using the method of expansion-by-regions and tested numerically on non-trivial processes with up to six partons. In principle, collinear-region contributions are expressed in terms of convolutions of universal jet operators and process-dependent amplitudes with two collinear partons. However, we evaluate t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.02286","kind":"arxiv","version":3},"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/2307.02286/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":"2307.02286","created_at":"2026-06-04T01:09:36.377469+00:00"},{"alias_kind":"arxiv_version","alias_value":"2307.02286v3","created_at":"2026-06-04T01:09:36.377469+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.02286","created_at":"2026-06-04T01:09:36.377469+00:00"},{"alias_kind":"pith_short_12","alias_value":"JFJXCICEGOQH","created_at":"2026-06-04T01:09:36.377469+00:00"},{"alias_kind":"pith_short_16","alias_value":"JFJXCICEGOQHHOZT","created_at":"2026-06-04T01:09:36.377469+00:00"},{"alias_kind":"pith_short_8","alias_value":"JFJXCICE","created_at":"2026-06-04T01:09:36.377469+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2510.05584","citing_title":"NLP threshold corrections to W+jet production","ref_index":83,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JFJXCICEGOQHHOZTDE5LL62IYH","json":"https://pith.science/pith/JFJXCICEGOQHHOZTDE5LL62IYH.json","graph_json":"https://pith.science/api/pith-number/JFJXCICEGOQHHOZTDE5LL62IYH/graph.json","events_json":"https://pith.science/api/pith-number/JFJXCICEGOQHHOZTDE5LL62IYH/events.json","paper":"https://pith.science/paper/JFJXCICE"},"agent_actions":{"view_html":"https://pith.science/pith/JFJXCICEGOQHHOZTDE5LL62IYH","download_json":"https://pith.science/pith/JFJXCICEGOQHHOZTDE5LL62IYH.json","view_paper":"https://pith.science/paper/JFJXCICE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2307.02286&json=true","fetch_graph":"https://pith.science/api/pith-number/JFJXCICEGOQHHOZTDE5LL62IYH/graph.json","fetch_events":"https://pith.science/api/pith-number/JFJXCICEGOQHHOZTDE5LL62IYH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JFJXCICEGOQHHOZTDE5LL62IYH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JFJXCICEGOQHHOZTDE5LL62IYH/action/storage_attestation","attest_author":"https://pith.science/pith/JFJXCICEGOQHHOZTDE5LL62IYH/action/author_attestation","sign_citation":"https://pith.science/pith/JFJXCICEGOQHHOZTDE5LL62IYH/action/citation_signature","submit_replication":"https://pith.science/pith/JFJXCICEGOQHHOZTDE5LL62IYH/action/replication_record"}},"created_at":"2026-06-04T01:09:36.377469+00:00","updated_at":"2026-06-04T01:09:36.377469+00:00"}