{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:DWFE6IENZFEAE2FRCIU4ONLNKO","short_pith_number":"pith:DWFE6IEN","schema_version":"1.0","canonical_sha256":"1d8a4f208dc9480268b11229c7356d539bb2f4d0b4aeaa7797195f4a8bb76bb8","source":{"kind":"arxiv","id":"2012.00820","version":2},"attestation_state":"computed","paper":{"title":"Tensor decomposition for bosonic and fermionic scattering amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Lorenzo Tancredi, Tiziano Peraro","submitted_at":"2020-12-01T20:44:56Z","abstract_excerpt":"In this paper, we elaborate on a method to decompose multiloop multileg scattering amplitudes into Lorentz-invariant form factors, which exploits the simplifications that arise from considering four-dimensional external states. We propose a simple and general approach that applies to both fermionic and bosonic amplitudes and allows us to identify a minimal number of physically relevant form factors, which can be related one-to-one to the independent helicity amplitudes. We discuss explicitly its applicability to various four- and five-point scattering amplitudes relevant for LHC physics."},"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":"2012.00820","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-12-01T20:44:56Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"71b065ef0ef4321c9c96981e8c45e34cc36fbbf2783269eede2f0e6a5249c65e","abstract_canon_sha256":"e0e13b17d4116ab2840a957add3ba0f365fb82b0d27a6337631f125f70beeb61"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:41:49.234811Z","signature_b64":"cGB5qAXGxjM9bi4WB+AfIIJsytzDy/4y9aBWe3pWLp+QIskiJMKcTg5CAkyBdjZZ1MVyyPT5svpIrP7R3Z2wDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d8a4f208dc9480268b11229c7356d539bb2f4d0b4aeaa7797195f4a8bb76bb8","last_reissued_at":"2026-07-05T02:41:49.234365Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:41:49.234365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tensor decomposition for bosonic and fermionic scattering amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Lorenzo Tancredi, Tiziano Peraro","submitted_at":"2020-12-01T20:44:56Z","abstract_excerpt":"In this paper, we elaborate on a method to decompose multiloop multileg scattering amplitudes into Lorentz-invariant form factors, which exploits the simplifications that arise from considering four-dimensional external states. We propose a simple and general approach that applies to both fermionic and bosonic amplitudes and allows us to identify a minimal number of physically relevant form factors, which can be related one-to-one to the independent helicity amplitudes. We discuss explicitly its applicability to various four- and five-point scattering amplitudes relevant for LHC physics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.00820","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/2012.00820/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":"2012.00820","created_at":"2026-07-05T02:41:49.234425+00:00"},{"alias_kind":"arxiv_version","alias_value":"2012.00820v2","created_at":"2026-07-05T02:41:49.234425+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.00820","created_at":"2026-07-05T02:41:49.234425+00:00"},{"alias_kind":"pith_short_12","alias_value":"DWFE6IENZFEA","created_at":"2026-07-05T02:41:49.234425+00:00"},{"alias_kind":"pith_short_16","alias_value":"DWFE6IENZFEAE2FR","created_at":"2026-07-05T02:41:49.234425+00:00"},{"alias_kind":"pith_short_8","alias_value":"DWFE6IEN","created_at":"2026-07-05T02:41:49.234425+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.09503","citing_title":"NNLO QCD predictions for $t\\bar t W$ production at hadron colliders","ref_index":39,"is_internal_anchor":false},{"citing_arxiv_id":"2606.31823","citing_title":"NNLO QCD predictions for $t\\bar{t}W$ production at the LHC","ref_index":41,"is_internal_anchor":false},{"citing_arxiv_id":"2505.10406","citing_title":"One-loop amplitudes for $t\\bar{t}j$ and $t\\bar{t}\\gamma$ productions at the LHC through $\\mathcal{O}(\\epsilon^2)$","ref_index":85,"is_internal_anchor":false},{"citing_arxiv_id":"2511.11424","citing_title":"Double virtual QCD corrections to $t\\bar{t}+$jet production at the LHC","ref_index":93,"is_internal_anchor":false},{"citing_arxiv_id":"2604.16251","citing_title":"Tensor decomposition of $e^+e^-\\to\\pi^+\\pi^-\\gamma$ to higher orders in the dimensional regulator","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DWFE6IENZFEAE2FRCIU4ONLNKO","json":"https://pith.science/pith/DWFE6IENZFEAE2FRCIU4ONLNKO.json","graph_json":"https://pith.science/api/pith-number/DWFE6IENZFEAE2FRCIU4ONLNKO/graph.json","events_json":"https://pith.science/api/pith-number/DWFE6IENZFEAE2FRCIU4ONLNKO/events.json","paper":"https://pith.science/paper/DWFE6IEN"},"agent_actions":{"view_html":"https://pith.science/pith/DWFE6IENZFEAE2FRCIU4ONLNKO","download_json":"https://pith.science/pith/DWFE6IENZFEAE2FRCIU4ONLNKO.json","view_paper":"https://pith.science/paper/DWFE6IEN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2012.00820&json=true","fetch_graph":"https://pith.science/api/pith-number/DWFE6IENZFEAE2FRCIU4ONLNKO/graph.json","fetch_events":"https://pith.science/api/pith-number/DWFE6IENZFEAE2FRCIU4ONLNKO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DWFE6IENZFEAE2FRCIU4ONLNKO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DWFE6IENZFEAE2FRCIU4ONLNKO/action/storage_attestation","attest_author":"https://pith.science/pith/DWFE6IENZFEAE2FRCIU4ONLNKO/action/author_attestation","sign_citation":"https://pith.science/pith/DWFE6IENZFEAE2FRCIU4ONLNKO/action/citation_signature","submit_replication":"https://pith.science/pith/DWFE6IENZFEAE2FRCIU4ONLNKO/action/replication_record"}},"created_at":"2026-07-05T02:41:49.234425+00:00","updated_at":"2026-07-05T02:41:49.234425+00:00"}