{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:UPPIZEGCNT2NRNLCWJIDANSNG4","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":"6b41eeee503bc9b8424a271a8c2988ae2100c29d7bfe9d279bc3a2f5524d8fc5","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-11-01T16:45:50Z","title_canon_sha256":"0f52add1269572e1e5217eab6a348415920cd729c72bb0046b5a993bd44fd230"},"schema_version":"1.0","source":{"id":"2311.00644","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.00644","created_at":"2026-07-05T07:33:57Z"},{"alias_kind":"arxiv_version","alias_value":"2311.00644v1","created_at":"2026-07-05T07:33:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.00644","created_at":"2026-07-05T07:33:57Z"},{"alias_kind":"pith_short_12","alias_value":"UPPIZEGCNT2N","created_at":"2026-07-05T07:33:57Z"},{"alias_kind":"pith_short_16","alias_value":"UPPIZEGCNT2NRNLC","created_at":"2026-07-05T07:33:57Z"},{"alias_kind":"pith_short_8","alias_value":"UPPIZEGC","created_at":"2026-07-05T07:33:57Z"}],"graph_snapshots":[{"event_id":"sha256:8c334c66a1dcdacbe381261074a4b981c18d8f165db9df8cc36bff774b7c6e99","target":"graph","created_at":"2026-07-05T07:33:57Z","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/2311.00644/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The unpolarized and polarized massive operator matrix elements $A_{Qg}^{(3)}$ and $\\Delta A_{Qg}^{(3)}$ contain first-order factorizable and non-first-order factorizable contributions in the determining difference or differential equations of their master integrals. We compute their first-order factorizable contributions in the single heavy mass case for all contributing Feynman diagrams. Moreover, we present the complete color-$\\zeta$ factors for the cases in which also non-first-order factorizable contributions emerge in the master integrals, but cancel in the final result as found by using ","authors_text":"A. Behring, A. De Freitas, A. von Manteuffel, C. Schneider, J. Ablinger, J. Bl\\\"umlein, K. Sch\\\"onwald","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-11-01T16:45:50Z","title":"The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Qg}^{(3)}$ and $\\Delta A_{Qg}^{(3)}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.00644","kind":"arxiv","version":1},"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":"sha256:3fd296b221fa9b734b793d8b73a1ee8430ef7e15c3399c1780f0cf9a8e97946e","target":"record","created_at":"2026-07-05T07:33:57Z","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":"6b41eeee503bc9b8424a271a8c2988ae2100c29d7bfe9d279bc3a2f5524d8fc5","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2023-11-01T16:45:50Z","title_canon_sha256":"0f52add1269572e1e5217eab6a348415920cd729c72bb0046b5a993bd44fd230"},"schema_version":"1.0","source":{"id":"2311.00644","kind":"arxiv","version":1}},"canonical_sha256":"a3de8c90c26cf4d8b562b25030364d3727876c8148a4aa343aaffc746841bac1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3de8c90c26cf4d8b562b25030364d3727876c8148a4aa343aaffc746841bac1","first_computed_at":"2026-07-05T07:33:57.618346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:33:57.618346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rnt1V8Bp0fXQOrp6+r2MEj+U6rVX1zmqstnvSd000yhhKah/Ubg4nJ53p6CxbyG7j1EU6aqbKpWueFe7j6TfDA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:33:57.618829Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.00644","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fd296b221fa9b734b793d8b73a1ee8430ef7e15c3399c1780f0cf9a8e97946e","sha256:8c334c66a1dcdacbe381261074a4b981c18d8f165db9df8cc36bff774b7c6e99"],"state_sha256":"4e011f70fd6aa906e57eba004c2ae59072b8b9e477f3f5c2e361dc4dad6e4bf8"}