{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:LMDGQD7TGWTALGARSDL6DI3MGC","short_pith_number":"pith:LMDGQD7T","schema_version":"1.0","canonical_sha256":"5b06680ff335a605981190d7e1a36c30b85b44572fc5616f5aa0063ad28b912f","source":{"kind":"arxiv","id":"1801.03010","version":1},"attestation_state":"computed","paper":{"title":"Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"William J. Torres Bobadilla","submitted_at":"2018-01-09T15:43:12Z","abstract_excerpt":"In this talk, we review recent developments towards the calculation of multi-loop scattering amplitudes. In particular, we discuss how the colour-kinematics duality can provide new integral relations at one-loop level via the Loop-Tree duality formalism. On the other hand, in order to compute scattering amplitudes at one- and two-loop level, numerically and analytically, we describe the preliminary automation of the adaptive integrand decomposition algorithm. We show preliminary results on the analytic reduction of the $\\mu e$-elastic scattering at one- and two-loop level."},"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":"1801.03010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-01-09T15:43:12Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"342b64d0488cb6e3acc6a203f11508943c02569a42d8324cdca040dda94f5479","abstract_canon_sha256":"6ff210d933ba6f0423572a2c4b8b057819bbbc17cef927e8f463aa343d543b5a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:21.746450Z","signature_b64":"7mdx/jak+bc+grC/mBuq4QIJ3SJSwHknO8ApPPZbQvTESCz45MIcIUkZ+t9wmzdnEUAu1+L8JPzKle2br+vfAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b06680ff335a605981190d7e1a36c30b85b44572fc5616f5aa0063ad28b912f","last_reissued_at":"2026-05-18T00:26:21.745763Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:21.745763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"William J. Torres Bobadilla","submitted_at":"2018-01-09T15:43:12Z","abstract_excerpt":"In this talk, we review recent developments towards the calculation of multi-loop scattering amplitudes. In particular, we discuss how the colour-kinematics duality can provide new integral relations at one-loop level via the Loop-Tree duality formalism. On the other hand, in order to compute scattering amplitudes at one- and two-loop level, numerically and analytically, we describe the preliminary automation of the adaptive integrand decomposition algorithm. We show preliminary results on the analytic reduction of the $\\mu e$-elastic scattering at one- and two-loop level."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03010","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":""},"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":"1801.03010","created_at":"2026-05-18T00:26:21.745869+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.03010v1","created_at":"2026-05-18T00:26:21.745869+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03010","created_at":"2026-05-18T00:26:21.745869+00:00"},{"alias_kind":"pith_short_12","alias_value":"LMDGQD7TGWTA","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"LMDGQD7TGWTALGAR","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"LMDGQD7T","created_at":"2026-05-18T12:32:37.024351+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LMDGQD7TGWTALGARSDL6DI3MGC","json":"https://pith.science/pith/LMDGQD7TGWTALGARSDL6DI3MGC.json","graph_json":"https://pith.science/api/pith-number/LMDGQD7TGWTALGARSDL6DI3MGC/graph.json","events_json":"https://pith.science/api/pith-number/LMDGQD7TGWTALGARSDL6DI3MGC/events.json","paper":"https://pith.science/paper/LMDGQD7T"},"agent_actions":{"view_html":"https://pith.science/pith/LMDGQD7TGWTALGARSDL6DI3MGC","download_json":"https://pith.science/pith/LMDGQD7TGWTALGARSDL6DI3MGC.json","view_paper":"https://pith.science/paper/LMDGQD7T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.03010&json=true","fetch_graph":"https://pith.science/api/pith-number/LMDGQD7TGWTALGARSDL6DI3MGC/graph.json","fetch_events":"https://pith.science/api/pith-number/LMDGQD7TGWTALGARSDL6DI3MGC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LMDGQD7TGWTALGARSDL6DI3MGC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LMDGQD7TGWTALGARSDL6DI3MGC/action/storage_attestation","attest_author":"https://pith.science/pith/LMDGQD7TGWTALGARSDL6DI3MGC/action/author_attestation","sign_citation":"https://pith.science/pith/LMDGQD7TGWTALGARSDL6DI3MGC/action/citation_signature","submit_replication":"https://pith.science/pith/LMDGQD7TGWTALGARSDL6DI3MGC/action/replication_record"}},"created_at":"2026-05-18T00:26:21.745869+00:00","updated_at":"2026-05-18T00:26:21.745869+00:00"}