{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GWFBY3M443I7PWGZYZHBRMK4QJ","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":"2d3e2c0ad76b1436b6486e0995da546cb0b5587a614c766a8556bc7247f2cbb1","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2025-04-08T12:50:27Z","title_canon_sha256":"c8a99a93d325b2f395e2428905fb7a94378eb9ad77a6b7242aff18cd1533b34d"},"schema_version":"1.0","source":{"id":"2504.05988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.05988","created_at":"2026-07-05T10:46:13Z"},{"alias_kind":"arxiv_version","alias_value":"2504.05988v1","created_at":"2026-07-05T10:46:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.05988","created_at":"2026-07-05T10:46:13Z"},{"alias_kind":"pith_short_12","alias_value":"GWFBY3M443I7","created_at":"2026-07-05T10:46:13Z"},{"alias_kind":"pith_short_16","alias_value":"GWFBY3M443I7PWGZ","created_at":"2026-07-05T10:46:13Z"},{"alias_kind":"pith_short_8","alias_value":"GWFBY3M4","created_at":"2026-07-05T10:46:13Z"}],"graph_snapshots":[{"event_id":"sha256:a72eb8c10c11922be4e8a24fa98b60cea6aa7df7c000e51be3c6344697101b1c","target":"graph","created_at":"2026-07-05T10:46:13Z","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/2504.05988/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We gain insight on the fixed point dynamics of $d$ dimensional quantum field theories by exploiting the critical behavior of the $d-\\epsilon$ sister theories. To this end we first derive a self-consistent relation between the $d-\\epsilon$ scaling exponents and the associated $d$ dimensional beta functions. We then demonstrate that to account for an interacting fixed point in the original theory the related $d-\\epsilon$ scaling exponent must be multi-valued in $\\epsilon$. We elucidate our findings by discussing several examples such as the QCD Banks-Zaks infrared fixed point, QCD at large numbe","authors_text":"Alan Pinoy, Francesco Sannino, Oleg Antipin, Shahram Vatani","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2025-04-08T12:50:27Z","title":"Consistency Relation for Fixed Point Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.05988","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":"sha256:8d8ef15f4010e324f5793b53bb7821d94d052f141544119a8d515f866af188bd","target":"record","created_at":"2026-07-05T10:46:13Z","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":"2d3e2c0ad76b1436b6486e0995da546cb0b5587a614c766a8556bc7247f2cbb1","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-ph","submitted_at":"2025-04-08T12:50:27Z","title_canon_sha256":"c8a99a93d325b2f395e2428905fb7a94378eb9ad77a6b7242aff18cd1533b34d"},"schema_version":"1.0","source":{"id":"2504.05988","kind":"arxiv","version":1}},"canonical_sha256":"358a1c6d9ce6d1f7d8d9c64e18b15c824f4355362a0d92ee9dea86249d844425","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"358a1c6d9ce6d1f7d8d9c64e18b15c824f4355362a0d92ee9dea86249d844425","first_computed_at":"2026-07-05T10:46:13.107671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:46:13.107671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qpFQ1swhH5Yd2NV9uQ50kCy/y+nW6EexyDN1HMw1BwIa7YDZ2ALr8ebNhBTxYHAAGD3VPfua79mKzZ7Z1tHJBg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:46:13.108173Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.05988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d8ef15f4010e324f5793b53bb7821d94d052f141544119a8d515f866af188bd","sha256:a72eb8c10c11922be4e8a24fa98b60cea6aa7df7c000e51be3c6344697101b1c"],"state_sha256":"59e5a3d596dfd19d1ac54271859dba42aa96d437d10b6f9441ec2e1bf2652cf9"}