{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ALQN6DV63JLXIKUQ3DPKNZRIYX","short_pith_number":"pith:ALQN6DV6","schema_version":"1.0","canonical_sha256":"02e0df0ebeda57742a90d8dea6e628c5ef53494306a9e863cb538a05657df06a","source":{"kind":"arxiv","id":"1407.0087","version":1},"attestation_state":"computed","paper":{"title":"COLLIER -- A fortran-library for one-loop integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Ansgar Denner, Lars Hofer, Stefan Dittmaier","submitted_at":"2014-07-01T01:05:34Z","abstract_excerpt":"We introduce the fortran-library COLLIER for the numerical evaluation of one-loop scalar and tensor integrals in perturbative relativistic quantum field theories. Important features are the implementation of dedicated methods to achieve numerical stability for 3- and 4-point tensor integrals, the support of complex masses for internal particles, and the possibility to choose between dimensional and mass regularization for infrared singularities. COLLIER supports one-loop N-point functions up to currently N=6 and has been tested in various NLO QCD and EW calculations."},"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":"1407.0087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-07-01T01:05:34Z","cross_cats_sorted":[],"title_canon_sha256":"996806915a4d7d1d7c69ce8f59271f4da41c069afe58ad517b18a18780ba25dc","abstract_canon_sha256":"a02276665d10625f5763b840e1a640ff5205aac90359226f9c643db8939f98c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:35.262691Z","signature_b64":"HkSTVdA1YCmFKub/1ZeG6CEVLSSIveZlEbSsgB6G81gV+8k3jzpox+1te4Ywyss9MPvqSZkY5NyqKtiao/mDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02e0df0ebeda57742a90d8dea6e628c5ef53494306a9e863cb538a05657df06a","last_reissued_at":"2026-05-18T02:48:35.262130Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:35.262130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"COLLIER -- A fortran-library for one-loop integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Ansgar Denner, Lars Hofer, Stefan Dittmaier","submitted_at":"2014-07-01T01:05:34Z","abstract_excerpt":"We introduce the fortran-library COLLIER for the numerical evaluation of one-loop scalar and tensor integrals in perturbative relativistic quantum field theories. Important features are the implementation of dedicated methods to achieve numerical stability for 3- and 4-point tensor integrals, the support of complex masses for internal particles, and the possibility to choose between dimensional and mass regularization for infrared singularities. COLLIER supports one-loop N-point functions up to currently N=6 and has been tested in various NLO QCD and EW calculations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0087","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":"1407.0087","created_at":"2026-05-18T02:48:35.262218+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.0087v1","created_at":"2026-05-18T02:48:35.262218+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0087","created_at":"2026-05-18T02:48:35.262218+00:00"},{"alias_kind":"pith_short_12","alias_value":"ALQN6DV63JLX","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"ALQN6DV63JLXIKUQ","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"ALQN6DV6","created_at":"2026-05-18T12:28:19.803747+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2512.04959","citing_title":"Towards a Fully Automated Differential $\\text{NNLO}_\\text{EW}$ Generator for Lepton Colliders","ref_index":87,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ALQN6DV63JLXIKUQ3DPKNZRIYX","json":"https://pith.science/pith/ALQN6DV63JLXIKUQ3DPKNZRIYX.json","graph_json":"https://pith.science/api/pith-number/ALQN6DV63JLXIKUQ3DPKNZRIYX/graph.json","events_json":"https://pith.science/api/pith-number/ALQN6DV63JLXIKUQ3DPKNZRIYX/events.json","paper":"https://pith.science/paper/ALQN6DV6"},"agent_actions":{"view_html":"https://pith.science/pith/ALQN6DV63JLXIKUQ3DPKNZRIYX","download_json":"https://pith.science/pith/ALQN6DV63JLXIKUQ3DPKNZRIYX.json","view_paper":"https://pith.science/paper/ALQN6DV6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.0087&json=true","fetch_graph":"https://pith.science/api/pith-number/ALQN6DV63JLXIKUQ3DPKNZRIYX/graph.json","fetch_events":"https://pith.science/api/pith-number/ALQN6DV63JLXIKUQ3DPKNZRIYX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ALQN6DV63JLXIKUQ3DPKNZRIYX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ALQN6DV63JLXIKUQ3DPKNZRIYX/action/storage_attestation","attest_author":"https://pith.science/pith/ALQN6DV63JLXIKUQ3DPKNZRIYX/action/author_attestation","sign_citation":"https://pith.science/pith/ALQN6DV63JLXIKUQ3DPKNZRIYX/action/citation_signature","submit_replication":"https://pith.science/pith/ALQN6DV63JLXIKUQ3DPKNZRIYX/action/replication_record"}},"created_at":"2026-05-18T02:48:35.262218+00:00","updated_at":"2026-05-18T02:48:35.262218+00:00"}