{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:53TUZYG4PKCV75Y7YAQIDLNTDE","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":"95f332accc38ef9e5dca5085ee025ddc5c21bc3402a20d482af844cdb8c5ad05","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-10-25T12:40:16Z","title_canon_sha256":"bb33b77d69d91d19f6bdda2ebc8e7b42e1ac7cd708ffdd40b055454e60f3fa14"},"schema_version":"1.0","source":{"id":"2110.12885","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.12885","created_at":"2026-07-05T03:50:02Z"},{"alias_kind":"arxiv_version","alias_value":"2110.12885v2","created_at":"2026-07-05T03:50:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.12885","created_at":"2026-07-05T03:50:02Z"},{"alias_kind":"pith_short_12","alias_value":"53TUZYG4PKCV","created_at":"2026-07-05T03:50:02Z"},{"alias_kind":"pith_short_16","alias_value":"53TUZYG4PKCV75Y7","created_at":"2026-07-05T03:50:02Z"},{"alias_kind":"pith_short_8","alias_value":"53TUZYG4","created_at":"2026-07-05T03:50:02Z"}],"graph_snapshots":[{"event_id":"sha256:d8cf45915f6790f2991ced74035723ba7f22449500f73d498a695fc4d5004e33","target":"graph","created_at":"2026-07-05T03:50:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2110.12885/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a method for computing numerically integrals defined via $i \\epsilon$ deformations acting on single-pole singularities. We achieve this without an explicit analytic contour deformation. Our solution is then used to produce precise Monte Carlo estimates of multi-scale multi-loop integrals directly in Minkowski space. We corroborate the validity of our strategy by presenting several examples ranging from one to three loops. When used in connection with four-dimensional regularization techniques, our treatment can be extended to ultraviolet and infrared divergent integrals.","authors_text":"Bryan Webber, Roberto Pittau","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-10-25T12:40:16Z","title":"Direct numerical evaluation of multi-loop integrals without contour deformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.12885","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:aa80da6955547aa458eff8aca846e51b8d402f6c8a1b9e6d3f46cf7741eae7fd","target":"record","created_at":"2026-07-05T03:50:02Z","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":"95f332accc38ef9e5dca5085ee025ddc5c21bc3402a20d482af844cdb8c5ad05","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2021-10-25T12:40:16Z","title_canon_sha256":"bb33b77d69d91d19f6bdda2ebc8e7b42e1ac7cd708ffdd40b055454e60f3fa14"},"schema_version":"1.0","source":{"id":"2110.12885","kind":"arxiv","version":2}},"canonical_sha256":"eee74ce0dc7a855ff71fc02081adb31917afe25db3d936cd58cba6ddb5cc10bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eee74ce0dc7a855ff71fc02081adb31917afe25db3d936cd58cba6ddb5cc10bb","first_computed_at":"2026-07-05T03:50:02.891553Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:50:02.891553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CZxplPf1UU3VfL3KXTfKTalG0MMW4XREZD/sJtlwxEBzsnB3ZiKF5RzEShodn9WCVbZHnxyfrECNDLiqD3inAA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:50:02.892156Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.12885","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa80da6955547aa458eff8aca846e51b8d402f6c8a1b9e6d3f46cf7741eae7fd","sha256:d8cf45915f6790f2991ced74035723ba7f22449500f73d498a695fc4d5004e33"],"state_sha256":"00487d5f3c4f03a8161ee5fe46f41602c343e66e976c9c46dcdd600e2e651ca2"}