{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:6WA26DP6FAFAGOPHTMJZU3A5DC","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":"bf737aa1260d4938fdb031c189332cdc2c4137db3218f47b3dbae20c71e2964d","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-04-28T19:13:40Z","title_canon_sha256":"1ed77b826f2eac0a001b25bc869a24a014e9024db903db105b9889c42eb97dd9"},"schema_version":"1.0","source":{"id":"2104.13980","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.13980","created_at":"2026-07-05T03:26:40Z"},{"alias_kind":"arxiv_version","alias_value":"2104.13980v2","created_at":"2026-07-05T03:26:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.13980","created_at":"2026-07-05T03:26:40Z"},{"alias_kind":"pith_short_12","alias_value":"6WA26DP6FAFA","created_at":"2026-07-05T03:26:40Z"},{"alias_kind":"pith_short_16","alias_value":"6WA26DP6FAFAGOPH","created_at":"2026-07-05T03:26:40Z"},{"alias_kind":"pith_short_8","alias_value":"6WA26DP6","created_at":"2026-07-05T03:26:40Z"}],"graph_snapshots":[{"event_id":"sha256:6d6bb4f5427293e01c179337a5feceb292b965fb91db139370bd372f8f42e916","target":"graph","created_at":"2026-07-05T03:26:40Z","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/2104.13980/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The exact one-loop beta functions for the four-derivative terms (Weyl tensor squared, Ricci scalar squared and the Gauss-Bonnet) are derived for the minimal six-derivative quantum gravity (QG) theory in four spacetime dimensions. The calculation is performed by means of the Barvinsky and Vilkovisky generalized Schwinger-DeWitt technique. With this result we gain, for the first time, the full set of the relevant beta functions in a super-renormalizable model of QG. The complete set of renormalization group (RG) equations, including also those for the Newton and the cosmological constant, is sol","authors_text":"Aleksandr Pinzul, Ilya L. Shapiro, Leonardo Modesto, Leslaw Rachwal","cross_cats":["gr-qc","hep-ph","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-04-28T19:13:40Z","title":"Renormalization Group in Six-derivative Quantum Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.13980","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:c5f9b0f4c5847bb497eedc30d0b771b68b3d806e82f49bbf63ec8bc5456e857e","target":"record","created_at":"2026-07-05T03:26:40Z","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":"bf737aa1260d4938fdb031c189332cdc2c4137db3218f47b3dbae20c71e2964d","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-04-28T19:13:40Z","title_canon_sha256":"1ed77b826f2eac0a001b25bc869a24a014e9024db903db105b9889c42eb97dd9"},"schema_version":"1.0","source":{"id":"2104.13980","kind":"arxiv","version":2}},"canonical_sha256":"f581af0dfe280a0339e79b139a6c1d18ac360a027142a094443f82e2ef9fd17c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f581af0dfe280a0339e79b139a6c1d18ac360a027142a094443f82e2ef9fd17c","first_computed_at":"2026-07-05T03:26:40.606717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:26:40.606717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oPdA40Y5YYhyUJ81fXhbdYPQcGklPH2WFNxEXFWHkQWIimW7VG8GF2Z8K68D6B4KOkqQAogLtrf9P4W5071QBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:26:40.607239Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.13980","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5f9b0f4c5847bb497eedc30d0b771b68b3d806e82f49bbf63ec8bc5456e857e","sha256:6d6bb4f5427293e01c179337a5feceb292b965fb91db139370bd372f8f42e916"],"state_sha256":"8440b060c69c4773d267cc674dcbed11fce6261c500fbe3ab9255de2f840d68d"}