{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:3XGFJJSUOI76D7NM55FRMPRRRG","short_pith_number":"pith:3XGFJJSU","schema_version":"1.0","canonical_sha256":"ddcc54a654723fe1fdacef4b163e3189879c83f394079d281d01be07af5e0d71","source":{"kind":"arxiv","id":"1604.06792","version":2},"attestation_state":"computed","paper":{"title":"Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations","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":"2016-04-22T19:50:53Z","abstract_excerpt":"We present the library Collier for the numerical evaluation of one-loop scalar and tensor integrals in perturbative relativistic quantum field theories. The code provides numerical results for arbitrary tensor and scalar integrals for scattering processes in general quantum field theories. For tensor integrals either the coefficients in a covariant decomposition or the tensor components themselves are provided. Collier supports complex masses, which are needed in calculations involving unstable particles. Ultraviolet and infrared singularities are treated in dimensional regularization. For sof"},"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":"1604.06792","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-22T19:50:53Z","cross_cats_sorted":[],"title_canon_sha256":"fc9e6258ece63548e16e9585e4cc6549bfc6df117f807eb9b1dd8ff37a04bfd0","abstract_canon_sha256":"e7c11e21f68ac92ac7df84e3648bb5c76e33cc8c56a1e6097932a29d6eb0d7e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:26.117180Z","signature_b64":"C1K2G3ZO/7SR1oezk+mZPtsKFDaqoYWf0SPPurfvYTaye3BsJzFW3HhLjFUjOHJAlxi+3paHgsQVggX973DABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddcc54a654723fe1fdacef4b163e3189879c83f394079d281d01be07af5e0d71","last_reissued_at":"2026-05-18T00:53:26.116833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:26.116833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations","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":"2016-04-22T19:50:53Z","abstract_excerpt":"We present the library Collier for the numerical evaluation of one-loop scalar and tensor integrals in perturbative relativistic quantum field theories. The code provides numerical results for arbitrary tensor and scalar integrals for scattering processes in general quantum field theories. For tensor integrals either the coefficients in a covariant decomposition or the tensor components themselves are provided. Collier supports complex masses, which are needed in calculations involving unstable particles. Ultraviolet and infrared singularities are treated in dimensional regularization. For sof"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06792","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":""},"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":"1604.06792","created_at":"2026-05-18T00:53:26.116887+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.06792v2","created_at":"2026-05-18T00:53:26.116887+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06792","created_at":"2026-05-18T00:53:26.116887+00:00"},{"alias_kind":"pith_short_12","alias_value":"3XGFJJSUOI76","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"3XGFJJSUOI76D7NM","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"3XGFJJSU","created_at":"2026-05-18T12:29:58.707656+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":15,"internal_anchor_count":13,"sample":[{"citing_arxiv_id":"2503.17461","citing_title":"Electroweak diboson production in association with a high-mass dijet system in semileptonic final states from $pp$ collisions at $\\sqrt{s} = 13$ TeV with the ATLAS detector","ref_index":52,"is_internal_anchor":true},{"citing_arxiv_id":"2504.05919","citing_title":"Measurement of high-mass $t\\bar{t}\\ell^{+}\\ell^{-}$ production and lepton flavour universality-inspired effective field theory interpretations at $\\sqrt{s}=13$ TeV with the ATLAS detector","ref_index":69,"is_internal_anchor":true},{"citing_arxiv_id":"2601.11780","citing_title":"Observation of a cross-section enhancement near the $t\\bar{t}$ production threshold in $\\sqrt{s}=13$ TeV $pp$ collisions with the ATLAS detector","ref_index":94,"is_internal_anchor":true},{"citing_arxiv_id":"2605.19016","citing_title":"Measurements of the Higgs boson production, fiducial and differential cross-sections in the four lepton decay channel using 164 fb$^{-1}$ of data collected at $\\sqrt{s}$ = 13.6 TeV with the ATLAS dete","ref_index":98,"is_internal_anchor":true},{"citing_arxiv_id":"2605.20015","citing_title":"Search for soft unclustered energy patterns containing muons in the final state in $pp$ collisions at $\\sqrt{s}$ = 13 TeV with the ATLAS detector","ref_index":64,"is_internal_anchor":true},{"citing_arxiv_id":"2509.13759","citing_title":"Measurement of the $W$-boson angular coefficients and transverse momentum in $pp$ collisions at $\\sqrt{s}=$ 13 TeV with the ATLAS detector","ref_index":53,"is_internal_anchor":true},{"citing_arxiv_id":"2509.14070","citing_title":"Observation of $W^{+}W^{-}\\gamma$ production in $pp$ collisions at $\\sqrt{s}$ = 13 TeV with the ATLAS detector and constraints on anomalous quartic gauge-boson couplings","ref_index":32,"is_internal_anchor":true},{"citing_arxiv_id":"2510.23809","citing_title":"Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations","ref_index":76,"is_internal_anchor":true},{"citing_arxiv_id":"2511.01995","citing_title":"Inclusive and differential measurements of the $\\mathrm{t\\bar{t}}\\gamma$ cross section and the $\\mathrm{t\\bar{t}}\\gamma$ / $\\mathrm{t\\bar{t}}$ cross section ratio in proton-proton collisions at $\\sqrt","ref_index":86,"is_internal_anchor":true},{"citing_arxiv_id":"2511.21240","citing_title":"Search for signatures of electroweakinos with photons, jets, and large missing transverse momentum in $\\sqrt{s}=13$ TeV pp collisions with the ATLAS detector","ref_index":61,"is_internal_anchor":true},{"citing_arxiv_id":"2601.11780","citing_title":"Observation of a cross-section enhancement near the $t\\bar{t}$ production threshold in $\\sqrt{s}=13$ TeV $pp$ collisions with the ATLAS detector","ref_index":94,"is_internal_anchor":true},{"citing_arxiv_id":"2601.21040","citing_title":"Constraining dimension-6 SMEFT with higher-order predictions for $p p \\to t W$","ref_index":120,"is_internal_anchor":true},{"citing_arxiv_id":"2605.13819","citing_title":"Search for charginos and neutralinos with $B-L$ $R$-parity violating decays in $\\sqrt{s}=13$ TeV and $13.6$ TeV $pp$ collisions with the ATLAS detector","ref_index":46,"is_internal_anchor":true},{"citing_arxiv_id":"2604.21670","citing_title":"Effective field theory interpretation of ATLAS measurements involving the Higgs boson, electroweak bosons and the top quark","ref_index":84,"is_internal_anchor":false},{"citing_arxiv_id":"2604.18025","citing_title":"Precision calculations for electroweak multi-boson processes","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3XGFJJSUOI76D7NM55FRMPRRRG","json":"https://pith.science/pith/3XGFJJSUOI76D7NM55FRMPRRRG.json","graph_json":"https://pith.science/api/pith-number/3XGFJJSUOI76D7NM55FRMPRRRG/graph.json","events_json":"https://pith.science/api/pith-number/3XGFJJSUOI76D7NM55FRMPRRRG/events.json","paper":"https://pith.science/paper/3XGFJJSU"},"agent_actions":{"view_html":"https://pith.science/pith/3XGFJJSUOI76D7NM55FRMPRRRG","download_json":"https://pith.science/pith/3XGFJJSUOI76D7NM55FRMPRRRG.json","view_paper":"https://pith.science/paper/3XGFJJSU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.06792&json=true","fetch_graph":"https://pith.science/api/pith-number/3XGFJJSUOI76D7NM55FRMPRRRG/graph.json","fetch_events":"https://pith.science/api/pith-number/3XGFJJSUOI76D7NM55FRMPRRRG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3XGFJJSUOI76D7NM55FRMPRRRG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3XGFJJSUOI76D7NM55FRMPRRRG/action/storage_attestation","attest_author":"https://pith.science/pith/3XGFJJSUOI76D7NM55FRMPRRRG/action/author_attestation","sign_citation":"https://pith.science/pith/3XGFJJSUOI76D7NM55FRMPRRRG/action/citation_signature","submit_replication":"https://pith.science/pith/3XGFJJSUOI76D7NM55FRMPRRRG/action/replication_record"}},"created_at":"2026-05-18T00:53:26.116887+00:00","updated_at":"2026-05-18T00:53:26.116887+00:00"}