{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:O6C62WBWPHVYLSKEP4SXGGOJAF","short_pith_number":"pith:O6C62WBW","schema_version":"1.0","canonical_sha256":"7785ed583679eb85c9447f257319c9017915c6255ad729660ff439ea1fa39b66","source":{"kind":"arxiv","id":"0803.4180","version":1},"attestation_state":"computed","paper":{"title":"An Automated Implementation of On-Shell Methods for One-Loop Amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C. F. Berger, D. A. Kosower, D. Forde, D. Maitre, F. Febres Cordero, H. Ita, L. J. Dixon, Z. Bern","submitted_at":"2008-03-28T19:56:39Z","abstract_excerpt":"We present the first results from BlackHat, an automated C++ program for calculating one-loop amplitudes. The program implements the unitarity method and on-shell recursion to construct amplitudes. As input to the calculation, it uses compact analytic formulae for tree amplitudes for four-dimensional helicity states. The program performs all related computations numerically. We make use of recently developed on-shell methods for evaluating coefficients of loop integrals, introducing a discrete Fourier projection as a means of improving efficiency and numerical stability. We illustrate the nume"},"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":"0803.4180","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-03-28T19:56:39Z","cross_cats_sorted":[],"title_canon_sha256":"5b53271584824ebcb70ad368301a2b48dcbd8fb7863c7d1f339ead7b14284872","abstract_canon_sha256":"4695e1137f668a657c661a766dae8688dce979364e74f8b60fe2d512f2a1691b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:29:57.254893Z","signature_b64":"x/8Vxs3hl0YRpgvbMyiJhpLJ/V7MYVqdJNdcWIxDtPKnOFSAImQDV7Kwhbkz5qIkXiVrD2n+hWaapIZVsNPwAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7785ed583679eb85c9447f257319c9017915c6255ad729660ff439ea1fa39b66","last_reissued_at":"2026-07-04T15:29:57.254345Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:29:57.254345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Automated Implementation of On-Shell Methods for One-Loop Amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C. F. Berger, D. A. Kosower, D. Forde, D. Maitre, F. Febres Cordero, H. Ita, L. J. Dixon, Z. Bern","submitted_at":"2008-03-28T19:56:39Z","abstract_excerpt":"We present the first results from BlackHat, an automated C++ program for calculating one-loop amplitudes. The program implements the unitarity method and on-shell recursion to construct amplitudes. As input to the calculation, it uses compact analytic formulae for tree amplitudes for four-dimensional helicity states. The program performs all related computations numerically. We make use of recently developed on-shell methods for evaluating coefficients of loop integrals, introducing a discrete Fourier projection as a means of improving efficiency and numerical stability. We illustrate the nume"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.4180","kind":"arxiv","version":1},"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/0803.4180/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":"0803.4180","created_at":"2026-07-04T15:29:57.254402+00:00"},{"alias_kind":"arxiv_version","alias_value":"0803.4180v1","created_at":"2026-07-04T15:29:57.254402+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.4180","created_at":"2026-07-04T15:29:57.254402+00:00"},{"alias_kind":"pith_short_12","alias_value":"O6C62WBWPHVY","created_at":"2026-07-04T15:29:57.254402+00:00"},{"alias_kind":"pith_short_16","alias_value":"O6C62WBWPHVYLSKE","created_at":"2026-07-04T15:29:57.254402+00:00"},{"alias_kind":"pith_short_8","alias_value":"O6C62WBW","created_at":"2026-07-04T15:29:57.254402+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2606.02485","citing_title":"On the spanning cuts consistency problem in the IBP reductions of Feynman integrals","ref_index":69,"is_internal_anchor":true},{"citing_arxiv_id":"2606.22007","citing_title":"Monte Carlo Event Generators for Future Lepton Colliders","ref_index":37,"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":20,"is_internal_anchor":true},{"citing_arxiv_id":"2605.16036","citing_title":"The Monte Carlo Ecosystem in High-Energy Physics: A Primer","ref_index":218,"is_internal_anchor":true},{"citing_arxiv_id":"1002.2581","citing_title":"A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX","ref_index":28,"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":57,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/O6C62WBWPHVYLSKEP4SXGGOJAF","json":"https://pith.science/pith/O6C62WBWPHVYLSKEP4SXGGOJAF.json","graph_json":"https://pith.science/api/pith-number/O6C62WBWPHVYLSKEP4SXGGOJAF/graph.json","events_json":"https://pith.science/api/pith-number/O6C62WBWPHVYLSKEP4SXGGOJAF/events.json","paper":"https://pith.science/paper/O6C62WBW"},"agent_actions":{"view_html":"https://pith.science/pith/O6C62WBWPHVYLSKEP4SXGGOJAF","download_json":"https://pith.science/pith/O6C62WBWPHVYLSKEP4SXGGOJAF.json","view_paper":"https://pith.science/paper/O6C62WBW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0803.4180&json=true","fetch_graph":"https://pith.science/api/pith-number/O6C62WBWPHVYLSKEP4SXGGOJAF/graph.json","fetch_events":"https://pith.science/api/pith-number/O6C62WBWPHVYLSKEP4SXGGOJAF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/O6C62WBWPHVYLSKEP4SXGGOJAF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/O6C62WBWPHVYLSKEP4SXGGOJAF/action/storage_attestation","attest_author":"https://pith.science/pith/O6C62WBWPHVYLSKEP4SXGGOJAF/action/author_attestation","sign_citation":"https://pith.science/pith/O6C62WBWPHVYLSKEP4SXGGOJAF/action/citation_signature","submit_replication":"https://pith.science/pith/O6C62WBWPHVYLSKEP4SXGGOJAF/action/replication_record"}},"created_at":"2026-07-04T15:29:57.254402+00:00","updated_at":"2026-07-04T15:29:57.254402+00:00"}