{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:HIRNXPWOATXS53KNNUPMNGVLO4","short_pith_number":"pith:HIRNXPWO","schema_version":"1.0","canonical_sha256":"3a22dbbece04ef2eed4d6d1ec69aab771e96f7fdc9df16c1411794def0adc713","source":{"kind":"arxiv","id":"1204.4152","version":2},"attestation_state":"computed","paper":{"title":"Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Gudrun Heinrich, Jonathon Carter, Sophia Borowka","submitted_at":"2012-04-18T18:04:37Z","abstract_excerpt":"We present the program SecDec 2.0 which contains various new features: First, it allows the numerical evaluation of multi-loop integrals with no restriction on the kinematics. Dimensionally regulated ultraviolet and infrared singularities are isolated via sector decomposition, while threshold singularities are handled by a deformation of the integration contour in the complex plane. As an application we present numerical results for various massive two-loop four-point diagrams. SecDec 2.0 also contains new useful features for the calculation of more general parameter integrals, related e.g. to"},"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":"1204.4152","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-18T18:04:37Z","cross_cats_sorted":[],"title_canon_sha256":"73e22f5be29fc6a704ba49db031084de82e573a091c25308216c76a0cb1a171f","abstract_canon_sha256":"21d028d7b9fc154975020240044241ec982575e2ef1f25f10fe46e39b24b3467"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:16.204943Z","signature_b64":"ceYNcU8YhKMRW/jd9dU2CWCtQa+3isaDuz1DJugL+Dar4dd1aAhC8Xr/OQzqd0Uptevh5Lbr8/UkRAXYJUXFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a22dbbece04ef2eed4d6d1ec69aab771e96f7fdc9df16c1411794def0adc713","last_reissued_at":"2026-05-18T02:21:16.204436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:16.204436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numerical evaluation of multi-loop integrals for arbitrary kinematics with SecDec 2.0","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Gudrun Heinrich, Jonathon Carter, Sophia Borowka","submitted_at":"2012-04-18T18:04:37Z","abstract_excerpt":"We present the program SecDec 2.0 which contains various new features: First, it allows the numerical evaluation of multi-loop integrals with no restriction on the kinematics. Dimensionally regulated ultraviolet and infrared singularities are isolated via sector decomposition, while threshold singularities are handled by a deformation of the integration contour in the complex plane. As an application we present numerical results for various massive two-loop four-point diagrams. SecDec 2.0 also contains new useful features for the calculation of more general parameter integrals, related e.g. to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4152","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":"1204.4152","created_at":"2026-05-18T02:21:16.204498+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.4152v2","created_at":"2026-05-18T02:21:16.204498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4152","created_at":"2026-05-18T02:21:16.204498+00:00"},{"alias_kind":"pith_short_12","alias_value":"HIRNXPWOATXS","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"HIRNXPWOATXS53KN","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"HIRNXPWO","created_at":"2026-05-18T12:27:09.501522+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2510.23809","citing_title":"Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations","ref_index":57,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HIRNXPWOATXS53KNNUPMNGVLO4","json":"https://pith.science/pith/HIRNXPWOATXS53KNNUPMNGVLO4.json","graph_json":"https://pith.science/api/pith-number/HIRNXPWOATXS53KNNUPMNGVLO4/graph.json","events_json":"https://pith.science/api/pith-number/HIRNXPWOATXS53KNNUPMNGVLO4/events.json","paper":"https://pith.science/paper/HIRNXPWO"},"agent_actions":{"view_html":"https://pith.science/pith/HIRNXPWOATXS53KNNUPMNGVLO4","download_json":"https://pith.science/pith/HIRNXPWOATXS53KNNUPMNGVLO4.json","view_paper":"https://pith.science/paper/HIRNXPWO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.4152&json=true","fetch_graph":"https://pith.science/api/pith-number/HIRNXPWOATXS53KNNUPMNGVLO4/graph.json","fetch_events":"https://pith.science/api/pith-number/HIRNXPWOATXS53KNNUPMNGVLO4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HIRNXPWOATXS53KNNUPMNGVLO4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HIRNXPWOATXS53KNNUPMNGVLO4/action/storage_attestation","attest_author":"https://pith.science/pith/HIRNXPWOATXS53KNNUPMNGVLO4/action/author_attestation","sign_citation":"https://pith.science/pith/HIRNXPWOATXS53KNNUPMNGVLO4/action/citation_signature","submit_replication":"https://pith.science/pith/HIRNXPWOATXS53KNNUPMNGVLO4/action/replication_record"}},"created_at":"2026-05-18T02:21:16.204498+00:00","updated_at":"2026-05-18T02:21:16.204498+00:00"}