{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:GEIUN3JCWRQG7QH54UIL2WJ3EC","short_pith_number":"pith:GEIUN3JC","schema_version":"1.0","canonical_sha256":"311146ed22b4606fc0fde510bd593b20b56f42a02bdcd8da2bd58d40018cdbe5","source":{"kind":"arxiv","id":"1503.01469","version":2},"attestation_state":"computed","paper":{"title":"Package-X: A Mathematica package for the analytic calculation of one-loop integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hiren H. Patel","submitted_at":"2015-03-04T21:00:34Z","abstract_excerpt":"Package-X, a Mathematica package for the analytic computation of one-loop integrals dimensionally regulated near 4 spacetime dimensions is described. Package-X computes arbitrarily high rank tensor integrals with up to three propagators, and gives compact expressions of UV divergent, IR divergent, and finite parts for any kinematic configuration involving real-valued external invariants and internal masses. Output expressions can be readily evaluated numerically and manipulated symbolically with built-in Mathematica functions. Emphasis is on evaluation speed, on readability of results, and esp"},"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":"1503.01469","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-03-04T21:00:34Z","cross_cats_sorted":[],"title_canon_sha256":"0bab3a4a139ff58a6c9364ba6f953d1eb740118e3a89f08143b1a04a4b5c3b56","abstract_canon_sha256":"f1bce96e297dbde78d1b2b7b37114fcec672c7bf95c10b573d79e6e907a46ce6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:47.232417Z","signature_b64":"npsJOmNyU4pMqRDJckRvsBNrN/tNThnETX45RoIZHiSFAvdEUwOnUX4+4yaPR5vCJf6Kt1n/S8IzFEYU6eD1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"311146ed22b4606fc0fde510bd593b20b56f42a02bdcd8da2bd58d40018cdbe5","last_reissued_at":"2026-05-18T01:25:47.231957Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:47.231957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Package-X: A Mathematica package for the analytic calculation of one-loop integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hiren H. Patel","submitted_at":"2015-03-04T21:00:34Z","abstract_excerpt":"Package-X, a Mathematica package for the analytic computation of one-loop integrals dimensionally regulated near 4 spacetime dimensions is described. Package-X computes arbitrarily high rank tensor integrals with up to three propagators, and gives compact expressions of UV divergent, IR divergent, and finite parts for any kinematic configuration involving real-valued external invariants and internal masses. Output expressions can be readily evaluated numerically and manipulated symbolically with built-in Mathematica functions. Emphasis is on evaluation speed, on readability of results, and esp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01469","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":"1503.01469","created_at":"2026-05-18T01:25:47.232015+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.01469v2","created_at":"2026-05-18T01:25:47.232015+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01469","created_at":"2026-05-18T01:25:47.232015+00:00"},{"alias_kind":"pith_short_12","alias_value":"GEIUN3JCWRQG","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"GEIUN3JCWRQG7QH5","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"GEIUN3JC","created_at":"2026-05-18T12:29:22.688609+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":14,"internal_anchor_count":11,"sample":[{"citing_arxiv_id":"2412.18540","citing_title":"Higgs Decays to $Z\\gamma$ and $\\gamma\\gamma$ in the Flavor-Gauged Two Higgs Doublet Model","ref_index":53,"is_internal_anchor":true},{"citing_arxiv_id":"2509.08115","citing_title":"Field-theoretic versus data-driven evaluations of electromagnetic corrections to hadronic vacuum polarization in $(g-2)_\\mu$","ref_index":48,"is_internal_anchor":true},{"citing_arxiv_id":"2510.00378","citing_title":"$\\bar{B}_{s,d}^{0} \\to J/\\psi \\mu^{+}\\mu^{-}$ Decays in QCD Factorization","ref_index":55,"is_internal_anchor":true},{"citing_arxiv_id":"2510.02085","citing_title":"Fully charm tetraquark production at hadronic collisions with gluon radiation effects","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2510.23809","citing_title":"Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations","ref_index":81,"is_internal_anchor":true},{"citing_arxiv_id":"2511.03786","citing_title":"Light new physics and the $\\tau$ lepton dipole moments","ref_index":133,"is_internal_anchor":true},{"citing_arxiv_id":"2512.05476","citing_title":"What can we learn from the radiative decays of the $D_{s1}(2460)$ meson?","ref_index":46,"is_internal_anchor":true},{"citing_arxiv_id":"2512.10709","citing_title":"Disperon QED","ref_index":63,"is_internal_anchor":true},{"citing_arxiv_id":"2512.11717","citing_title":"Renormalization of mixing angles and computation of the hadronic $W$ decay widths","ref_index":39,"is_internal_anchor":true},{"citing_arxiv_id":"2512.13776","citing_title":"Improved Standard-Model predictions for $\\eta^{(\\prime)}\\to \\ell^+ \\ell^-$","ref_index":143,"is_internal_anchor":true},{"citing_arxiv_id":"2603.23332","citing_title":"Quantum gravity and matter fields in a general background gauge","ref_index":42,"is_internal_anchor":true},{"citing_arxiv_id":"2604.00646","citing_title":"Hyperon non-leptonic decays in relativistic Chiral Perturbation Theory with resonances","ref_index":78,"is_internal_anchor":false},{"citing_arxiv_id":"2604.20954","citing_title":"SubTropica","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2604.04886","citing_title":"Light neutrinos, Dark matter and leptogenesis near electroweak scale and $Z_4$ symmetry","ref_index":27,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GEIUN3JCWRQG7QH54UIL2WJ3EC","json":"https://pith.science/pith/GEIUN3JCWRQG7QH54UIL2WJ3EC.json","graph_json":"https://pith.science/api/pith-number/GEIUN3JCWRQG7QH54UIL2WJ3EC/graph.json","events_json":"https://pith.science/api/pith-number/GEIUN3JCWRQG7QH54UIL2WJ3EC/events.json","paper":"https://pith.science/paper/GEIUN3JC"},"agent_actions":{"view_html":"https://pith.science/pith/GEIUN3JCWRQG7QH54UIL2WJ3EC","download_json":"https://pith.science/pith/GEIUN3JCWRQG7QH54UIL2WJ3EC.json","view_paper":"https://pith.science/paper/GEIUN3JC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.01469&json=true","fetch_graph":"https://pith.science/api/pith-number/GEIUN3JCWRQG7QH54UIL2WJ3EC/graph.json","fetch_events":"https://pith.science/api/pith-number/GEIUN3JCWRQG7QH54UIL2WJ3EC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GEIUN3JCWRQG7QH54UIL2WJ3EC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GEIUN3JCWRQG7QH54UIL2WJ3EC/action/storage_attestation","attest_author":"https://pith.science/pith/GEIUN3JCWRQG7QH54UIL2WJ3EC/action/author_attestation","sign_citation":"https://pith.science/pith/GEIUN3JCWRQG7QH54UIL2WJ3EC/action/citation_signature","submit_replication":"https://pith.science/pith/GEIUN3JCWRQG7QH54UIL2WJ3EC/action/replication_record"}},"created_at":"2026-05-18T01:25:47.232015+00:00","updated_at":"2026-05-18T01:25:47.232015+00:00"}