{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:4PJRTLDGKGB4OO7YRVGCDJPNLO","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":"3053fe294d23faeb9b866c1d26579a260bb477c1aa2a2866654d4cbf392eaedf","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2001-01-12T11:27:08Z","title_canon_sha256":"36fe303e44fbbf65f7f5502d11d9511c69e572915b4e1b046e2df98c279392b7"},"schema_version":"1.0","source":{"id":"hep-ph/0101124","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0101124","created_at":"2026-05-18T04:12:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0101124v2","created_at":"2026-05-18T04:12:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0101124","created_at":"2026-05-18T04:12:02Z"},{"alias_kind":"pith_short_12","alias_value":"4PJRTLDGKGB4","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"4PJRTLDGKGB4OO7Y","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"4PJRTLDG","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:d90f576b25094d5b72c394743a2ba319236941d2d8e74ba91ec363a8bc9b91a5","target":"graph","created_at":"2026-05-18T04:12:02Z","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"},"paper":{"abstract_excerpt":"The calculation of the two-loop corrections to the three-jet production rate and to event shapes in electron--positron annihilation requires the computation of a number of two-loop four-point master integrals with one off-shell and three on-shell legs. Up to now, only those master integrals corresponding to planar topologies were known. In this paper, we compute the yet outstanding non-planar master integrals by solving differential equations in the external invariants which are fulfilled by these master integrals. We obtain the master integrals as expansions in $\\e=(4-d)/2$, where $d$ is the ","authors_text":"E. Remiddi, T.Gehrmann","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2001-01-12T11:27:08Z","title":"Two-Loop Master Integrals for $\\gamma^* \\to 3$ Jets: The non-planar topologies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0101124","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:d1bf14c380fab4f52bd6de04faaaf3da17081b0eeedeb8cab3ae4f373fd395fd","target":"record","created_at":"2026-05-18T04:12:02Z","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":"3053fe294d23faeb9b866c1d26579a260bb477c1aa2a2866654d4cbf392eaedf","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2001-01-12T11:27:08Z","title_canon_sha256":"36fe303e44fbbf65f7f5502d11d9511c69e572915b4e1b046e2df98c279392b7"},"schema_version":"1.0","source":{"id":"hep-ph/0101124","kind":"arxiv","version":2}},"canonical_sha256":"e3d319ac665183c73bf88d4c21a5ed5b9b15ee09b330e20d769f4d393ef60219","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3d319ac665183c73bf88d4c21a5ed5b9b15ee09b330e20d769f4d393ef60219","first_computed_at":"2026-05-18T04:12:02.704781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:02.704781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U+dwqA0GL/7qVmdtIy8C/QgonvB8Wp6f7OYPJyv051YfCAJWcgGk+o4RyURKc5473UeqB6zB0/tFgTAaa3GiAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:02.705212Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0101124","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1bf14c380fab4f52bd6de04faaaf3da17081b0eeedeb8cab3ae4f373fd395fd","sha256:d90f576b25094d5b72c394743a2ba319236941d2d8e74ba91ec363a8bc9b91a5"],"state_sha256":"9a1078607c9a380f253d4f602be663481187a996728464b5b740e652c6ea6b59"}