{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HFD6562K36YOXW2IM3CF34IGQU","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":"f81b40b3b17a396e3f58f88b2e12db1e18f4cb0b32a63d1edd839ac6efe99a22","cross_cats_sorted":["hep-th","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-05-21T13:05:35Z","title_canon_sha256":"0c3515aab0c425351997bb5121e8d145811de5025fc831e271d4d963213bb692"},"schema_version":"1.0","source":{"id":"2605.22436","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22436","created_at":"2026-05-22T01:04:43Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22436v1","created_at":"2026-05-22T01:04:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22436","created_at":"2026-05-22T01:04:43Z"},{"alias_kind":"pith_short_12","alias_value":"HFD6562K36YO","created_at":"2026-05-22T01:04:43Z"},{"alias_kind":"pith_short_16","alias_value":"HFD6562K36YOXW2I","created_at":"2026-05-22T01:04:43Z"},{"alias_kind":"pith_short_8","alias_value":"HFD6562K","created_at":"2026-05-22T01:04:43Z"}],"graph_snapshots":[{"event_id":"sha256:bbe7806dcae6a6672b3b04c8172b80aaa9612a855631189f1e671de9fdd555d4","target":"graph","created_at":"2026-05-22T01:04:43Z","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/2605.22436/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the Lorentzian Wetterich Renormalization Group (RG) flow equation for interacting quantum fields on curved backgrounds within the framework of perturbative Algebraic Quantum Field Theory (pAQFT). Specifically, we consider two classes of models: two mutually interacting scalar fields on globally hyperbolic spacetimes without boundary and, under the further assumption that the underlying background is spin, self-interacting Dirac fields. In both cases, we derive the corresponding RG flow equations within a Local Potential Approximation and compute the beta functions for the relevant cou","authors_text":"Beatrice Costeri","cross_cats":["hep-th","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-05-21T13:05:35Z","title":"A perturbative approach to the Wetterich equation for Bosonic and Fermionic interacting fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22436","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":"sha256:0af1c7ff103683221d745a45428ffab3976fd7bee2669224acb98ada6e3d3c9c","target":"record","created_at":"2026-05-22T01:04:43Z","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":"f81b40b3b17a396e3f58f88b2e12db1e18f4cb0b32a63d1edd839ac6efe99a22","cross_cats_sorted":["hep-th","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-05-21T13:05:35Z","title_canon_sha256":"0c3515aab0c425351997bb5121e8d145811de5025fc831e271d4d963213bb692"},"schema_version":"1.0","source":{"id":"2605.22436","kind":"arxiv","version":1}},"canonical_sha256":"3947eefb4adfb0ebdb4866c45df106852f3ad96649471809c73e22725950bdbf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3947eefb4adfb0ebdb4866c45df106852f3ad96649471809c73e22725950bdbf","first_computed_at":"2026-05-22T01:04:43.012434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:04:43.012434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h77q9NFQVprDJmVfby4iPTT7fLHQQujxX8l6F//KJVoYbaE0CMjYGmes9I98N8PZfsnzgU9l1llwqQBH8TzaCQ==","signature_status":"signed_v1","signed_at":"2026-05-22T01:04:43.013014Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.22436","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0af1c7ff103683221d745a45428ffab3976fd7bee2669224acb98ada6e3d3c9c","sha256:bbe7806dcae6a6672b3b04c8172b80aaa9612a855631189f1e671de9fdd555d4"],"state_sha256":"cfdb876870c1798c54d7b7ed4954ff8410870c0d9314ed46f6198493ae3b089f"}