{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:2UYSTMUOH2YEJ7ENPUDHKSQ5HM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"59c8073cdd1c3f8cbddbeb4f1fe7d707c7a31eb3c1571412dad04d3c9c1dac16","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-11-22T15:24:20Z","title_canon_sha256":"be104a7290b364dde80129f2d390325a83a1883e81a2f25fc7ee5687f8386196"},"schema_version":"1.0","source":{"id":"0711.3596","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.3596","created_at":"2026-05-18T04:23:10Z"},{"alias_kind":"arxiv_version","alias_value":"0711.3596v2","created_at":"2026-05-18T04:23:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.3596","created_at":"2026-05-18T04:23:10Z"},{"alias_kind":"pith_short_12","alias_value":"2UYSTMUOH2YE","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"2UYSTMUOH2YEJ7EN","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"2UYSTMUO","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:67eeed1518dbcf35af21b498fd4df9a797295c56161faaf63ff6e2ab69aa7e1a","target":"graph","created_at":"2026-05-18T04:23:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We present a program that implements the OPP reduction method to extract the coefficients of the one-loop scalar integrals from a user defined (sub)-amplitude or Feynman Diagram, as well as the rational terms coming from the 4-dimensional part of the numerator. The rational pieces coming from the epsilon-dimensional part of the numerator are treated as an external input, and can be computed with the help of dedicated tree-level like Feynman rules.\n  Possible numerical instabilities are dealt with the help of arbitrary precision routines, that activate only when needed.","authors_text":"Costas G. Papadopoulos, Giovanni Ossola, Roberto Pittau","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2007-11-22T15:24:20Z","title":"CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.3596","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5dbe7fbdf8f44ca2a63411fcce877cf464239117d4281dcc76e84d5396bb2b86","target":"record","created_at":"2026-05-18T04:23:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"59c8073cdd1c3f8cbddbeb4f1fe7d707c7a31eb3c1571412dad04d3c9c1dac16","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-11-22T15:24:20Z","title_canon_sha256":"be104a7290b364dde80129f2d390325a83a1883e81a2f25fc7ee5687f8386196"},"schema_version":"1.0","source":{"id":"0711.3596","kind":"arxiv","version":2}},"canonical_sha256":"d53129b28e3eb044fc8d7d06754a1d3b0a58b368d7572a13760deb51ddd7cb23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d53129b28e3eb044fc8d7d06754a1d3b0a58b368d7572a13760deb51ddd7cb23","first_computed_at":"2026-05-18T04:23:10.862662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:10.862662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yc137YPtah7MezfR+5NKqqYwzaurZnDeXgTlmhQZQD0scJ8+Hly8XXDBtVdMPpV9j0YFqeg7eoNvDu6Jf+9CCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:10.863064Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.3596","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5dbe7fbdf8f44ca2a63411fcce877cf464239117d4281dcc76e84d5396bb2b86","sha256:67eeed1518dbcf35af21b498fd4df9a797295c56161faaf63ff6e2ab69aa7e1a"],"state_sha256":"e4df5bfbc79c5773720434fd9c79f3628e6f02141225ba835f284b547be44686"}