{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:HV7GPTCI4QPVUVBKJ7LHBLIY6I","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":"b2df4b9001655843fd8aa10a1ad7c07fb4f15492cb090d64721e9b5373197af6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2022-11-24T17:02:32Z","title_canon_sha256":"8b3ec09050ebcf5b284c57909d1dc8114a3cdf0e46c12e1509b77755eb9a14a3"},"schema_version":"1.0","source":{"id":"2211.13713","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.13713","created_at":"2026-07-05T05:42:29Z"},{"alias_kind":"arxiv_version","alias_value":"2211.13713v3","created_at":"2026-07-05T05:42:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.13713","created_at":"2026-07-05T05:42:29Z"},{"alias_kind":"pith_short_12","alias_value":"HV7GPTCI4QPV","created_at":"2026-07-05T05:42:29Z"},{"alias_kind":"pith_short_16","alias_value":"HV7GPTCI4QPVUVBK","created_at":"2026-07-05T05:42:29Z"},{"alias_kind":"pith_short_8","alias_value":"HV7GPTCI","created_at":"2026-07-05T05:42:29Z"}],"graph_snapshots":[{"event_id":"sha256:a12c39cb1499b0da0cac949930e661c50ec625be3638a7417a6333d4ac3709a6","target":"graph","created_at":"2026-07-05T05:42:29Z","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/2211.13713/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present analytic results of the two-loop master integrals for hadronic $tW$ production that contain two massive propagators. For the planar integral family, we succeed in constructing the canonical basis, so the results are written in terms of multiple polylogarithms. The master integrals in the non-planar integral families have been calculated by Taylor series expansion around $m_W^2=0$. Even with this simplification, there are multiple square roots involved in the differential equations, which can not be rationalized simultaneously. We find that a proper linear combination of the integral","authors_text":"Jian Wang, Yefan Wang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2022-11-24T17:02:32Z","title":"Analytic two-loop master integrals for $tW$ production at hadron colliders. Part II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.13713","kind":"arxiv","version":3},"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":"sha256:39b7993156300e2e266099254e784cebd802389d0d8b38ad96201e580d328fb3","target":"record","created_at":"2026-07-05T05:42:29Z","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":"b2df4b9001655843fd8aa10a1ad7c07fb4f15492cb090d64721e9b5373197af6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2022-11-24T17:02:32Z","title_canon_sha256":"8b3ec09050ebcf5b284c57909d1dc8114a3cdf0e46c12e1509b77755eb9a14a3"},"schema_version":"1.0","source":{"id":"2211.13713","kind":"arxiv","version":3}},"canonical_sha256":"3d7e67cc48e41f5a542a4fd670ad18f2339732b6e6f5388bc7ff993d01253ae7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d7e67cc48e41f5a542a4fd670ad18f2339732b6e6f5388bc7ff993d01253ae7","first_computed_at":"2026-07-05T05:42:29.142179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:42:29.142179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CLpT2Y8jIPqdH+EDZqR/LSsbVDmjg8BTfPxaZnnw2rpyBjiVbhE0ysACbHdgU3x1SgmLwMBne0Z4QTaPY0oaBg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:42:29.142659Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.13713","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39b7993156300e2e266099254e784cebd802389d0d8b38ad96201e580d328fb3","sha256:a12c39cb1499b0da0cac949930e661c50ec625be3638a7417a6333d4ac3709a6"],"state_sha256":"3734d71cec8fe747ef8157abe79dded61f242ca229593db1d922c804021605bc"}