{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:S272FOSA7KBIIWKXJ2AY3CBH46","short_pith_number":"pith:S272FOSA","schema_version":"1.0","canonical_sha256":"96bfa2ba40fa828459574e818d8827e7b7bb158e0eff4458105674c111997f36","source":{"kind":"arxiv","id":"1304.1806","version":2},"attestation_state":"computed","paper":{"title":"Multiloop integrals in dimensional regularization made simple","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Johannes M. Henn","submitted_at":"2013-04-05T20:00:03Z","abstract_excerpt":"Scattering amplitudes at loop level can be expressed in terms of Feynman integrals. The latter satisfy partial differential equations in the kinematical variables. We argue that a good choice of basis for (multi-)loop integrals can lead to significant simplifications of the differential equations, and propose criteria for finding an optimal basis. This builds on experience obtained in supersymmetric field theories that can be applied successfully to generic quantum field theory integrals. It involves studying leading singularities and explicit integral representations. When the differential eq"},"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":"1304.1806","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-05T20:00:03Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"e59e4f712781647b7a9ceb259d70287a932af9e63b179cc59cf087112c00546a","abstract_canon_sha256":"f77f0deacdf7447d0a215a8d9e35e7b995e9e5e4e9a8ffc98f11d24b6a11a121"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:57.465645Z","signature_b64":"yTRaCBGLO96yZxVfMPsCUjX+Ds0Funkopvuci51L7V1Vspzz3N0SeN7lA35aELbl2hVNQmRV/RkKhK1XdmAlBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96bfa2ba40fa828459574e818d8827e7b7bb158e0eff4458105674c111997f36","last_reissued_at":"2026-05-18T03:19:57.464951Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:57.464951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiloop integrals in dimensional regularization made simple","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Johannes M. Henn","submitted_at":"2013-04-05T20:00:03Z","abstract_excerpt":"Scattering amplitudes at loop level can be expressed in terms of Feynman integrals. The latter satisfy partial differential equations in the kinematical variables. We argue that a good choice of basis for (multi-)loop integrals can lead to significant simplifications of the differential equations, and propose criteria for finding an optimal basis. This builds on experience obtained in supersymmetric field theories that can be applied successfully to generic quantum field theory integrals. It involves studying leading singularities and explicit integral representations. When the differential eq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1806","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":"1304.1806","created_at":"2026-05-18T03:19:57.465059+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.1806v2","created_at":"2026-05-18T03:19:57.465059+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1806","created_at":"2026-05-18T03:19:57.465059+00:00"},{"alias_kind":"pith_short_12","alias_value":"S272FOSA7KBI","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"S272FOSA7KBIIWKX","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"S272FOSA","created_at":"2026-05-18T12:27:59.945178+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":45,"internal_anchor_count":35,"sample":[{"citing_arxiv_id":"2607.08477","citing_title":"AMFlow 2.0: significant algorithmic and software improvements for Feynman integral evaluation","ref_index":15,"is_internal_anchor":true},{"citing_arxiv_id":"2606.25928","citing_title":"Electroweak corrections to Higgs boson pair production: The quark channel","ref_index":45,"is_internal_anchor":true},{"citing_arxiv_id":"2606.22500","citing_title":"Taming Symbolic IBP Reduction with Intermediate Bases","ref_index":35,"is_internal_anchor":true},{"citing_arxiv_id":"2606.21702","citing_title":"Analytic results for heavy-quark contributions to charged-current DIS at NNLO","ref_index":73,"is_internal_anchor":true},{"citing_arxiv_id":"2606.18362","citing_title":"Tracing Transcendentality in Protected Correlators of N=4 SYM","ref_index":46,"is_internal_anchor":true},{"citing_arxiv_id":"2607.02411","citing_title":"Chebyshev Approximations of Feynman Integrals for Collider Physics","ref_index":19,"is_internal_anchor":true},{"citing_arxiv_id":"2606.11423","citing_title":"Weak-field waveforms for generic relativistic orbits","ref_index":118,"is_internal_anchor":true},{"citing_arxiv_id":"2606.10698","citing_title":"Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2606.09978","citing_title":"Resonance and Differential Reduction of Feynman Integrals","ref_index":68,"is_internal_anchor":true},{"citing_arxiv_id":"2606.09972","citing_title":"Maximal Transcendentality of the Double-Scaled PCM","ref_index":5,"is_internal_anchor":true},{"citing_arxiv_id":"2607.00187","citing_title":"From geometry to phenomenology","ref_index":38,"is_internal_anchor":true},{"citing_arxiv_id":"2606.02744","citing_title":"IterInt: Evaluating iterated integrals via differential equations","ref_index":8,"is_internal_anchor":true},{"citing_arxiv_id":"2605.31221","citing_title":"CoLoRFulNNLO for color-singlet processes: An update on NNLOCAL","ref_index":25,"is_internal_anchor":true},{"citing_arxiv_id":"2606.28239","citing_title":"Gravitational Compton scattering at the fourth post-Minkowskian order","ref_index":81,"is_internal_anchor":true},{"citing_arxiv_id":"2606.27801","citing_title":"Bootstrapping two-loop six-gluon amplitudes in QCD","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2606.31994","citing_title":"The geometric bookkeeping guide for $\\varepsilon$-factorised differential equations","ref_index":16,"is_internal_anchor":true},{"citing_arxiv_id":"2606.30354","citing_title":"Solution of Canonical Differential Equations for Integrals on Arbitrary Geometries","ref_index":7,"is_internal_anchor":true},{"citing_arxiv_id":"2605.28926","citing_title":"Multi-Loop Negative Geometries","ref_index":117,"is_internal_anchor":true},{"citing_arxiv_id":"2605.28955","citing_title":"Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor","ref_index":54,"is_internal_anchor":true},{"citing_arxiv_id":"2605.30216","citing_title":"HyperPrecision: A Mathematica package for High-Precision Numerical Evaluation of Multivariate Hypergeometric Functions","ref_index":67,"is_internal_anchor":true},{"citing_arxiv_id":"2605.30475","citing_title":"Cosmological Weight-Shifting Matrices","ref_index":31,"is_internal_anchor":true},{"citing_arxiv_id":"2605.31553","citing_title":"Numerical analytical continuation of multivariate hypergeometric functions","ref_index":53,"is_internal_anchor":true},{"citing_arxiv_id":"2606.26691","citing_title":"CHESS: CHEbyshev pSeudo-Spectral transport for Feynman integral differential equations","ref_index":20,"is_internal_anchor":true},{"citing_arxiv_id":"1906.11862","citing_title":"A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons","ref_index":29,"is_internal_anchor":true},{"citing_arxiv_id":"2112.11842","citing_title":"Kinematics, cluster algebras and Feynman integrals","ref_index":52,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/S272FOSA7KBIIWKXJ2AY3CBH46","json":"https://pith.science/pith/S272FOSA7KBIIWKXJ2AY3CBH46.json","graph_json":"https://pith.science/api/pith-number/S272FOSA7KBIIWKXJ2AY3CBH46/graph.json","events_json":"https://pith.science/api/pith-number/S272FOSA7KBIIWKXJ2AY3CBH46/events.json","paper":"https://pith.science/paper/S272FOSA"},"agent_actions":{"view_html":"https://pith.science/pith/S272FOSA7KBIIWKXJ2AY3CBH46","download_json":"https://pith.science/pith/S272FOSA7KBIIWKXJ2AY3CBH46.json","view_paper":"https://pith.science/paper/S272FOSA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.1806&json=true","fetch_graph":"https://pith.science/api/pith-number/S272FOSA7KBIIWKXJ2AY3CBH46/graph.json","fetch_events":"https://pith.science/api/pith-number/S272FOSA7KBIIWKXJ2AY3CBH46/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S272FOSA7KBIIWKXJ2AY3CBH46/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S272FOSA7KBIIWKXJ2AY3CBH46/action/storage_attestation","attest_author":"https://pith.science/pith/S272FOSA7KBIIWKXJ2AY3CBH46/action/author_attestation","sign_citation":"https://pith.science/pith/S272FOSA7KBIIWKXJ2AY3CBH46/action/citation_signature","submit_replication":"https://pith.science/pith/S272FOSA7KBIIWKXJ2AY3CBH46/action/replication_record"}},"created_at":"2026-05-18T03:19:57.465059+00:00","updated_at":"2026-05-18T03:19:57.465059+00:00"}