{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:N5CL6XWHAWORGMGXI6W67ARQY2","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":"7a419b352922b32a793fd5dd2fc4e66a2be9c800f4a4667c8b3ccbe72e9bc0ed","cross_cats_sorted":["hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-01-13T09:23:57Z","title_canon_sha256":"e6a183529f0e8eac6f9f2cc30660f17828787eb9736f95a1bf0e30b8fecd8309"},"schema_version":"1.0","source":{"id":"2501.07150","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.07150","created_at":"2026-07-05T10:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"2501.07150v1","created_at":"2026-07-05T10:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.07150","created_at":"2026-07-05T10:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"N5CL6XWHAWOR","created_at":"2026-07-05T10:39:10Z"},{"alias_kind":"pith_short_16","alias_value":"N5CL6XWHAWORGMGX","created_at":"2026-07-05T10:39:10Z"},{"alias_kind":"pith_short_8","alias_value":"N5CL6XWH","created_at":"2026-07-05T10:39:10Z"}],"graph_snapshots":[{"event_id":"sha256:da55c962189eefff03f1f7c854341a3a8fcbf01074522032ec6ad6604929598f","target":"graph","created_at":"2026-07-05T10:39:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.07150/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The gradient-flow formalism is applied to a non-Abelian gauge theory with scalar and fermionic particles, dubbed \"scalar QCD\". It is shown that the flowed scalar quark requires a field renormalization, albeit only beyond the one-loop level. A pseudo-physical, t-dependent renormalization scheme is defined, and the corresponding renormalization constant is evaluated at the two-loop level. We also calculate the gluon action density as well as the condensate of the scalar and the fermionic quark at three-loop level in this theory. The results validate the consistency of the gradient-flow formalism","authors_text":"J. Borgulat, J.T. Kohnen, N. Felten, R.V. Harlander","cross_cats":["hep-lat"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-01-13T09:23:57Z","title":"Two-loop gradient-flow renormalization of scalar QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.07150","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:d69866cda020afa3db2d5462012c6fcbc4c80218ee6f71b84ae79959d41b2db6","target":"record","created_at":"2026-07-05T10:39:10Z","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":"7a419b352922b32a793fd5dd2fc4e66a2be9c800f4a4667c8b3ccbe72e9bc0ed","cross_cats_sorted":["hep-lat"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-01-13T09:23:57Z","title_canon_sha256":"e6a183529f0e8eac6f9f2cc30660f17828787eb9736f95a1bf0e30b8fecd8309"},"schema_version":"1.0","source":{"id":"2501.07150","kind":"arxiv","version":1}},"canonical_sha256":"6f44bf5ec7059d1330d747adef8230c69fa79114c2ae7c5d4a5c544736ec40c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f44bf5ec7059d1330d747adef8230c69fa79114c2ae7c5d4a5c544736ec40c0","first_computed_at":"2026-07-05T10:39:10.677703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:39:10.677703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KShwCSwtv7Y9FLeQgiUjz6FwrDOG9HusmUZZnF9XPMuqnXmquVkeg5QaAp/G6Mwq9fnZpCk2qbBsht74pz2wAw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:39:10.678220Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.07150","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d69866cda020afa3db2d5462012c6fcbc4c80218ee6f71b84ae79959d41b2db6","sha256:da55c962189eefff03f1f7c854341a3a8fcbf01074522032ec6ad6604929598f"],"state_sha256":"7017ea21ed4f446d1104ae0f3920735f6d366e0f5adad82ff416cdb3405c65e0"}