{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:BXIVX6ATRJFHOPM6QTRJQLQRTE","short_pith_number":"pith:BXIVX6AT","schema_version":"1.0","canonical_sha256":"0dd15bf8138a4a773d9e84e2982e119932fda12aa32fe91082c3e816ae130c33","source":{"kind":"arxiv","id":"1310.4397","version":1},"attestation_state":"computed","paper":{"title":"Stable One-Dimensional Integral Representations of One-Loop N-Point Functions in the General Massive Case: I - Three Point Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"E. Pilon, J. Ph. Guillet, M. Rodgers, M. S. Zidi","submitted_at":"2013-10-16T14:22:44Z","abstract_excerpt":"In this article we provide representations for the one-loop three point functions in 4 and 6 dimensions in the general case with complex masses. The latter are part of the GOLEM library used for the computation of one-loop multileg amplitudes. These representations are one-dimensional integrals designed to be free of instabilites induced by inverse powers of Gram determinants, therefore suitable for stable numerical implementations."},"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":"1310.4397","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-10-16T14:22:44Z","cross_cats_sorted":[],"title_canon_sha256":"3bf24b23150fd87a9f2cd2ba8fa930db8a737a66b4c15ec6a6f35d4f416fb8ec","abstract_canon_sha256":"2f889ebbeaef33382229ab63b1cb4774b1df1fcc7eef269b1eb104f7c9499010"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:58.850754Z","signature_b64":"9H5SiGNE94iLArZqpL0PesnS03SykF/u5a5SEa/cItdeQIik3rtdQBuXaXHx1dmrPJR5SCTSQxLk1xYZ3hbsBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0dd15bf8138a4a773d9e84e2982e119932fda12aa32fe91082c3e816ae130c33","last_reissued_at":"2026-05-18T01:46:58.850294Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:58.850294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stable One-Dimensional Integral Representations of One-Loop N-Point Functions in the General Massive Case: I - Three Point Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"E. Pilon, J. Ph. Guillet, M. Rodgers, M. S. Zidi","submitted_at":"2013-10-16T14:22:44Z","abstract_excerpt":"In this article we provide representations for the one-loop three point functions in 4 and 6 dimensions in the general case with complex masses. The latter are part of the GOLEM library used for the computation of one-loop multileg amplitudes. These representations are one-dimensional integrals designed to be free of instabilites induced by inverse powers of Gram determinants, therefore suitable for stable numerical implementations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4397","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":"1310.4397","created_at":"2026-05-18T01:46:58.850371+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.4397v1","created_at":"2026-05-18T01:46:58.850371+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4397","created_at":"2026-05-18T01:46:58.850371+00:00"},{"alias_kind":"pith_short_12","alias_value":"BXIVX6ATRJFH","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"BXIVX6ATRJFHOPM6","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"BXIVX6AT","created_at":"2026-05-18T12:27:40.988391+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/BXIVX6ATRJFHOPM6QTRJQLQRTE","json":"https://pith.science/pith/BXIVX6ATRJFHOPM6QTRJQLQRTE.json","graph_json":"https://pith.science/api/pith-number/BXIVX6ATRJFHOPM6QTRJQLQRTE/graph.json","events_json":"https://pith.science/api/pith-number/BXIVX6ATRJFHOPM6QTRJQLQRTE/events.json","paper":"https://pith.science/paper/BXIVX6AT"},"agent_actions":{"view_html":"https://pith.science/pith/BXIVX6ATRJFHOPM6QTRJQLQRTE","download_json":"https://pith.science/pith/BXIVX6ATRJFHOPM6QTRJQLQRTE.json","view_paper":"https://pith.science/paper/BXIVX6AT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.4397&json=true","fetch_graph":"https://pith.science/api/pith-number/BXIVX6ATRJFHOPM6QTRJQLQRTE/graph.json","fetch_events":"https://pith.science/api/pith-number/BXIVX6ATRJFHOPM6QTRJQLQRTE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BXIVX6ATRJFHOPM6QTRJQLQRTE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BXIVX6ATRJFHOPM6QTRJQLQRTE/action/storage_attestation","attest_author":"https://pith.science/pith/BXIVX6ATRJFHOPM6QTRJQLQRTE/action/author_attestation","sign_citation":"https://pith.science/pith/BXIVX6ATRJFHOPM6QTRJQLQRTE/action/citation_signature","submit_replication":"https://pith.science/pith/BXIVX6ATRJFHOPM6QTRJQLQRTE/action/replication_record"}},"created_at":"2026-05-18T01:46:58.850371+00:00","updated_at":"2026-05-18T01:46:58.850371+00:00"}