{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XDXC6KBCUASNK6IB3U4MHJ4L2K","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":"2aba01b2b79e08b5f2d608c8872965f30e662bb2695b30123e24292247a2b18e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-09-08T15:00:15Z","title_canon_sha256":"cbe5dfee86e4c9758107da0b87a6243c7dd5c9844574ed27395368d141f255e7"},"schema_version":"1.0","source":{"id":"1609.02454","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.02454","created_at":"2026-05-18T00:57:10Z"},{"alias_kind":"arxiv_version","alias_value":"1609.02454v1","created_at":"2026-05-18T00:57:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02454","created_at":"2026-05-18T00:57:10Z"},{"alias_kind":"pith_short_12","alias_value":"XDXC6KBCUASN","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XDXC6KBCUASNK6IB","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XDXC6KBC","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:5450a1b80e75198288bc26fa180f55fec4bc1753dafa3c573014738f6fdf323e","target":"graph","created_at":"2026-05-18T00:57:10Z","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":"In this review, we present a new method for computing physical cross sections at NLO accuracy in QCD without using the standard Dimensional Regularisation. The algorithm is based on the Loop-Tree Duality theorem, which allow us to obtain loop integrals as a sum of phase-space integrals; in this way, transforming loop integrals into phase-space integrals, we propose a method to merge virtual and real contributions in order to find observables at NLO in $d=4$ space-time dimensions. In addition, the strategy described is used for computing the $\\gamma^*\\to q\\bar{q}(g)$ process. A more detailed di","authors_text":"F. Driencourt-Mangin, G. F. R. Sborlini, G. Rodrigo, R. J. Hern\\'andez-Pinto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-09-08T15:00:15Z","title":"NLO cross sections in 4 dimensions without DREG"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02454","kind":"arxiv","version":1},"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":"sha256:072b63bcf13020a1b2b301bc2bcad1bc9e5992e276d3569c6edab44445872217","target":"record","created_at":"2026-05-18T00:57:10Z","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":"2aba01b2b79e08b5f2d608c8872965f30e662bb2695b30123e24292247a2b18e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-09-08T15:00:15Z","title_canon_sha256":"cbe5dfee86e4c9758107da0b87a6243c7dd5c9844574ed27395368d141f255e7"},"schema_version":"1.0","source":{"id":"1609.02454","kind":"arxiv","version":1}},"canonical_sha256":"b8ee2f2822a024d57901dd38c3a78bd2a7a6f8ce6d7e788236a077a7920eee60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8ee2f2822a024d57901dd38c3a78bd2a7a6f8ce6d7e788236a077a7920eee60","first_computed_at":"2026-05-18T00:57:10.747003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:10.747003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AzAfvq/oby1wDS0XphKGtkvY9kiO87sKLVqIv311cjt3HMuosZOvA1h3p5UIepgNjcOcPu01qUdS5D+Gh1WyDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:10.747407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.02454","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:072b63bcf13020a1b2b301bc2bcad1bc9e5992e276d3569c6edab44445872217","sha256:5450a1b80e75198288bc26fa180f55fec4bc1753dafa3c573014738f6fdf323e"],"state_sha256":"a174a3bb834f8d3b66b23f8bfcc2a9a07ca7d33de07913b50e3a0b967b6bd579"}