{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:Z4DDDQPKGWLYBWEGXHTM4APGLF","short_pith_number":"pith:Z4DDDQPK","schema_version":"1.0","canonical_sha256":"cf0631c1ea359780d886b9e6ce01e6596f9de9bd3ca49114abb6927ed6b96e7f","source":{"kind":"arxiv","id":"hep-ph/0404258","version":2},"attestation_state":"computed","paper":{"title":"Automatic Integral Reduction for Higher Order Perturbative Calculations","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Lazopoulos, C. Anastasiou","submitted_at":"2004-04-28T19:07:25Z","abstract_excerpt":"We present a program for the reduction of large systems of integrals to master integrals. The algorithm was first proposed by Laporta; in this paper, we implement it in MAPLE. We also develop two new features which keep the size of intermediate expressions relatively small throughout the calculation. The program requires modest input information from the user and can be used for generic calculations in perturbation theory."},"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":"hep-ph/0404258","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-04-28T19:07:25Z","cross_cats_sorted":[],"title_canon_sha256":"ac2fd5b77f510681830a805cd3da87310c80f19a001511836b4432ca2a241cfb","abstract_canon_sha256":"e3ece246e3c6e2295a0b2a5bfcd9412985cc2de49a0ade0721718781142ad6b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:48:12.481842Z","signature_b64":"JexlPCK4upsISvaAtToc9sesuHoBLbxWuXNvxdWsEZDeYqH3WSgXJDXNzuEJUBcAQPYWT1iFepWqXENsQE0oAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf0631c1ea359780d886b9e6ce01e6596f9de9bd3ca49114abb6927ed6b96e7f","last_reissued_at":"2026-07-04T16:48:12.481370Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:48:12.481370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Automatic Integral Reduction for Higher Order Perturbative Calculations","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Lazopoulos, C. Anastasiou","submitted_at":"2004-04-28T19:07:25Z","abstract_excerpt":"We present a program for the reduction of large systems of integrals to master integrals. The algorithm was first proposed by Laporta; in this paper, we implement it in MAPLE. We also develop two new features which keep the size of intermediate expressions relatively small throughout the calculation. The program requires modest input information from the user and can be used for generic calculations in perturbation theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0404258","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0404258/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"hep-ph/0404258","created_at":"2026-07-04T16:48:12.481426+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0404258v2","created_at":"2026-07-04T16:48:12.481426+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0404258","created_at":"2026-07-04T16:48:12.481426+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z4DDDQPKGWLY","created_at":"2026-07-04T16:48:12.481426+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z4DDDQPKGWLYBWEG","created_at":"2026-07-04T16:48:12.481426+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z4DDDQPK","created_at":"2026-07-04T16:48:12.481426+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":5,"sample":[{"citing_arxiv_id":"2606.10698","citing_title":"Efficient AI-Inspired Reduction of Feynman Integrals via Tube Seeding","ref_index":10,"is_internal_anchor":true},{"citing_arxiv_id":"2605.31553","citing_title":"Numerical analytical continuation of multivariate hypergeometric functions","ref_index":64,"is_internal_anchor":true},{"citing_arxiv_id":"2606.02485","citing_title":"On the spanning cuts consistency problem in the IBP reductions of Feynman integrals","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2504.06689","citing_title":"Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist","ref_index":47,"is_internal_anchor":true},{"citing_arxiv_id":"2008.06494","citing_title":"Integral Reduction with Kira 2.0 and Finite Field Methods","ref_index":32,"is_internal_anchor":true},{"citing_arxiv_id":"2604.09810","citing_title":"Feynman integral reduction by covariant differentiation","ref_index":9,"is_internal_anchor":false},{"citing_arxiv_id":"2605.06775","citing_title":"SIRENA -- Sum-Integral REductioN Algorithm","ref_index":79,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z4DDDQPKGWLYBWEGXHTM4APGLF","json":"https://pith.science/pith/Z4DDDQPKGWLYBWEGXHTM4APGLF.json","graph_json":"https://pith.science/api/pith-number/Z4DDDQPKGWLYBWEGXHTM4APGLF/graph.json","events_json":"https://pith.science/api/pith-number/Z4DDDQPKGWLYBWEGXHTM4APGLF/events.json","paper":"https://pith.science/paper/Z4DDDQPK"},"agent_actions":{"view_html":"https://pith.science/pith/Z4DDDQPKGWLYBWEGXHTM4APGLF","download_json":"https://pith.science/pith/Z4DDDQPKGWLYBWEGXHTM4APGLF.json","view_paper":"https://pith.science/paper/Z4DDDQPK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0404258&json=true","fetch_graph":"https://pith.science/api/pith-number/Z4DDDQPKGWLYBWEGXHTM4APGLF/graph.json","fetch_events":"https://pith.science/api/pith-number/Z4DDDQPKGWLYBWEGXHTM4APGLF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z4DDDQPKGWLYBWEGXHTM4APGLF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z4DDDQPKGWLYBWEGXHTM4APGLF/action/storage_attestation","attest_author":"https://pith.science/pith/Z4DDDQPKGWLYBWEGXHTM4APGLF/action/author_attestation","sign_citation":"https://pith.science/pith/Z4DDDQPKGWLYBWEGXHTM4APGLF/action/citation_signature","submit_replication":"https://pith.science/pith/Z4DDDQPKGWLYBWEGXHTM4APGLF/action/replication_record"}},"created_at":"2026-07-04T16:48:12.481426+00:00","updated_at":"2026-07-04T16:48:12.481426+00:00"}