{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:OPIMNWEHL7QIC3KGLLYNZ5KFXZ","short_pith_number":"pith:OPIMNWEH","schema_version":"1.0","canonical_sha256":"73d0c6d8875fe0816d465af0dcf545be69cc79439e14baaa71e8c958f462ae6f","source":{"kind":"arxiv","id":"hep-ph/9403226","version":2},"attestation_state":"computed","paper":{"title":"One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"D.A. Kosower, D.C. Dunbar, L. Dixon, Z. Bern","submitted_at":"1994-03-04T04:55:10Z","abstract_excerpt":"We present a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory. As an example, we obtain the one-loop contribution to amplitudes for $n$ gluon scattering in $N=4$ supersymmetric Yang-Mills theory with the helicity configuration of the Parke-Taylor tree amplitudes. We prove that our $N=4$ ansatz is correct using general properties of the relevant one-loop $n$-point integrals. We also give the ``splitting amplitudes'' which govern the collinear behavior of one-loop helicity amplitudes in gauge theories."},"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":"hep-ph/9403226","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1994-03-04T04:55:10Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"22e54740750578065d52864f962a1802c6bc792c025e8f42f5d7f88a0a062c37","abstract_canon_sha256":"8ed71c0380b6e85c5b9cdbe1ca0723fa472bdf26bd233ddb4fcb6f39834e6b2e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:50:45.858865Z","signature_b64":"XthRYhkOD+E7WZZzlzK4Le9fpm1h/dQ9g8OwXFHaW9/PmESGzWpP9sMUJNNoizZ2g3HVsX/mIaCj8D/wBaTyCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73d0c6d8875fe0816d465af0dcf545be69cc79439e14baaa71e8c958f462ae6f","last_reissued_at":"2026-07-04T15:50:45.858458Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:50:45.858458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"D.A. Kosower, D.C. Dunbar, L. Dixon, Z. Bern","submitted_at":"1994-03-04T04:55:10Z","abstract_excerpt":"We present a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory. As an example, we obtain the one-loop contribution to amplitudes for $n$ gluon scattering in $N=4$ supersymmetric Yang-Mills theory with the helicity configuration of the Parke-Taylor tree amplitudes. We prove that our $N=4$ ansatz is correct using general properties of the relevant one-loop $n$-point integrals. We also give the ``splitting amplitudes'' which govern the collinear behavior of one-loop helicity amplitudes in gauge theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9403226","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9403226/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":"hep-ph/9403226","created_at":"2026-07-04T15:50:45.858522+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9403226v2","created_at":"2026-07-04T15:50:45.858522+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9403226","created_at":"2026-07-04T15:50:45.858522+00:00"},{"alias_kind":"pith_short_12","alias_value":"OPIMNWEHL7QI","created_at":"2026-07-04T15:50:45.858522+00:00"},{"alias_kind":"pith_short_16","alias_value":"OPIMNWEHL7QIC3KG","created_at":"2026-07-04T15:50:45.858522+00:00"},{"alias_kind":"pith_short_8","alias_value":"OPIMNWEH","created_at":"2026-07-04T15:50:45.858522+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":23,"internal_anchor_count":20,"sample":[{"citing_arxiv_id":"2606.25878","citing_title":"From Cosmological Cuts to Yang--Mills Wavefunctions in de Sitter Space","ref_index":23,"is_internal_anchor":true},{"citing_arxiv_id":"2606.11423","citing_title":"Weak-field waveforms for generic relativistic orbits","ref_index":49,"is_internal_anchor":true},{"citing_arxiv_id":"2606.08582","citing_title":"Soft Algebra for ${\\cal N}=4$ SYM","ref_index":39,"is_internal_anchor":true},{"citing_arxiv_id":"2606.02702","citing_title":"Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\\boldsymbol{g}^{\\boldsymbol{6}}$","ref_index":10,"is_internal_anchor":true},{"citing_arxiv_id":"2606.02686","citing_title":"On-Shell Bootstrap of Loop Inflation Correlators with Spectral Dispersion","ref_index":113,"is_internal_anchor":true},{"citing_arxiv_id":"2606.28193","citing_title":"Quantum anomalies from three-point on-shell bootstrap","ref_index":27,"is_internal_anchor":true},{"citing_arxiv_id":"2606.28052","citing_title":"Planar loop integrands from cuts in $D$ dimensions","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2606.27801","citing_title":"Bootstrapping two-loop six-gluon amplitudes in QCD","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2605.25473","citing_title":"The Diagrammar of Quantum Magnusian","ref_index":30,"is_internal_anchor":true},{"citing_arxiv_id":"2605.28926","citing_title":"Multi-Loop Negative Geometries","ref_index":1,"is_internal_anchor":true},{"citing_arxiv_id":"2606.02485","citing_title":"On the spanning cuts consistency problem in the IBP reductions of Feynman integrals","ref_index":74,"is_internal_anchor":true},{"citing_arxiv_id":"1906.11862","citing_title":"A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2411.07944","citing_title":"Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams","ref_index":3,"is_internal_anchor":true},{"citing_arxiv_id":"2412.15962","citing_title":"Feynman Integral Reduction without Integration-By-Parts","ref_index":33,"is_internal_anchor":true},{"citing_arxiv_id":"2605.17056","citing_title":"Five legs @ three loops: N=4 sYM amplitude near mass-shell","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2508.14263","citing_title":"Tropicalized quantum field theory and global tropical sampling","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2511.11537","citing_title":"Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints","ref_index":79,"is_internal_anchor":true},{"citing_arxiv_id":"2512.21210","citing_title":"Twisted Feynman Integrals: from generating functions to spin-resummed post-Minkowskian dynamics","ref_index":7,"is_internal_anchor":true},{"citing_arxiv_id":"2601.08252","citing_title":"Resumming Scattering Amplitudes for Waveforms","ref_index":3,"is_internal_anchor":true},{"citing_arxiv_id":"2603.15755","citing_title":"Negative running of gravitational positivity","ref_index":53,"is_internal_anchor":true},{"citing_arxiv_id":"2605.04009","citing_title":"Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit","ref_index":50,"is_internal_anchor":false},{"citing_arxiv_id":"2605.00685","citing_title":"Color Decompositions of the Two Loop Amplitudes of Yang-Mills theory","ref_index":15,"is_internal_anchor":false},{"citing_arxiv_id":"1405.0301","citing_title":"The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations","ref_index":15,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OPIMNWEHL7QIC3KGLLYNZ5KFXZ","json":"https://pith.science/pith/OPIMNWEHL7QIC3KGLLYNZ5KFXZ.json","graph_json":"https://pith.science/api/pith-number/OPIMNWEHL7QIC3KGLLYNZ5KFXZ/graph.json","events_json":"https://pith.science/api/pith-number/OPIMNWEHL7QIC3KGLLYNZ5KFXZ/events.json","paper":"https://pith.science/paper/OPIMNWEH"},"agent_actions":{"view_html":"https://pith.science/pith/OPIMNWEHL7QIC3KGLLYNZ5KFXZ","download_json":"https://pith.science/pith/OPIMNWEHL7QIC3KGLLYNZ5KFXZ.json","view_paper":"https://pith.science/paper/OPIMNWEH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9403226&json=true","fetch_graph":"https://pith.science/api/pith-number/OPIMNWEHL7QIC3KGLLYNZ5KFXZ/graph.json","fetch_events":"https://pith.science/api/pith-number/OPIMNWEHL7QIC3KGLLYNZ5KFXZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OPIMNWEHL7QIC3KGLLYNZ5KFXZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OPIMNWEHL7QIC3KGLLYNZ5KFXZ/action/storage_attestation","attest_author":"https://pith.science/pith/OPIMNWEHL7QIC3KGLLYNZ5KFXZ/action/author_attestation","sign_citation":"https://pith.science/pith/OPIMNWEHL7QIC3KGLLYNZ5KFXZ/action/citation_signature","submit_replication":"https://pith.science/pith/OPIMNWEHL7QIC3KGLLYNZ5KFXZ/action/replication_record"}},"created_at":"2026-07-04T15:50:45.858522+00:00","updated_at":"2026-07-04T15:50:45.858522+00:00"}