{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3C3KLK5XRSPUEMGL23K7MLMCGZ","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":"541ec30b4d7461d7fd7a9ccee4aad41a4bd8219606165e51a37a527860f84e09","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-28T14:17:14Z","title_canon_sha256":"cc99e1c1dda64dd1a0d9e5064c535654af06df568f5e0a79ee73c4d60121cb45"},"schema_version":"1.0","source":{"id":"1611.09129","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09129","created_at":"2026-05-18T00:33:22Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09129v2","created_at":"2026-05-18T00:33:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09129","created_at":"2026-05-18T00:33:22Z"},{"alias_kind":"pith_short_12","alias_value":"3C3KLK5XRSPU","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3C3KLK5XRSPUEMGL","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3C3KLK5X","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:ab6f60683f82c8232fd321f8c6a13483729a7b514c0d4b2b5cf824f91d25f241","target":"graph","created_at":"2026-05-18T00:33:22Z","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"},"paper":{"abstract_excerpt":"We show that when the dynamical dimension of the $\\bar{\\psi}\\psi$ operator is reduced from three to two in a fermion electrodynamics with scaling, a $g(\\bar{\\psi}\\psi)^2+g(\\bar{\\psi}i\\gamma^5\\psi)^2$ four-fermion interaction which is dressed by this electrodynamics becomes renormalizable. In the fermion-antifermion scattering amplitude every term in an expansion to arbitrary order in $g$ is found to diverge as just a single ultraviolet logarithm (i.e. no log squared or higher), and is thus made finite by a single subtraction. While not necessary for renormalizability per se, the reduction in t","authors_text":"Philip D. Mannheim","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-28T14:17:14Z","title":"Anomalous Dimensions and the Renormalizability of the Four-Fermion Interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09129","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:a255a933ebc7a6537d31ee04dccbb05a4b2b6a255cedd7025fbd387b756c9907","target":"record","created_at":"2026-05-18T00:33:22Z","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":"541ec30b4d7461d7fd7a9ccee4aad41a4bd8219606165e51a37a527860f84e09","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-28T14:17:14Z","title_canon_sha256":"cc99e1c1dda64dd1a0d9e5064c535654af06df568f5e0a79ee73c4d60121cb45"},"schema_version":"1.0","source":{"id":"1611.09129","kind":"arxiv","version":2}},"canonical_sha256":"d8b6a5abb78c9f4230cbd6d5f62d82364658be7f069be8d5a3e38a638e376c44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8b6a5abb78c9f4230cbd6d5f62d82364658be7f069be8d5a3e38a638e376c44","first_computed_at":"2026-05-18T00:33:22.244999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:22.244999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CWLxYOk+niZ3gXdUnCEvF6W6JxOrprgPZdPDiUuJpDJdRmDc0QhrRva44Y/d/mSLBJkqKkUO5rSHqI1BpfQ7Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:22.245604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09129","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a255a933ebc7a6537d31ee04dccbb05a4b2b6a255cedd7025fbd387b756c9907","sha256:ab6f60683f82c8232fd321f8c6a13483729a7b514c0d4b2b5cf824f91d25f241"],"state_sha256":"ecfac039aac3971e8e48281fe615e999424a7044e08bd2745596619afee869fc"}