{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:Y4774QXUB3UOPQF6WHM6SJ2HGL","short_pith_number":"pith:Y4774QXU","schema_version":"1.0","canonical_sha256":"c73ffe42f40ee8e7c0beb1d9e9274732c2af2e268d2688468679c025e28f3fe1","source":{"kind":"arxiv","id":"1808.07697","version":2},"attestation_state":"computed","paper":{"title":"Fermion bilinear operator critical exponents at $O(1/N^2)$ in the QED-Gross-Neveu universality class","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"J.A. Gracey","submitted_at":"2018-08-23T11:06:39Z","abstract_excerpt":"We use the critical point large $N$ formalism to calculate the critical exponents corresponding to the fermion mass operator and flavour non-singlet fermion bilinear operator in the universality class of Quantum Electrodynamics (QED) coupled to the Gross-Neveu model for an $SU(N)$ flavour symmetry in $d$-dimensions. The $\\epsilon$ expansion of the exponents in $d$ $=$ $4$ $-$ $2\\epsilon$ dimensions are in agreement with recent three and four loop perturbative evaluations of both renormalization group functions of these operators. Estimates of the value of the non-singlet operator exponent in t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1808.07697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-23T11:06:39Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"bd2e28e932f38e74457f770090a3fe138a9845c3bde9b22ac271ef25cfb30662","abstract_canon_sha256":"08df6a7ace8461d97602a82951af470dc89292c6838ed66d0289a81148b6533b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:31.065982Z","signature_b64":"MkDLDwkE6l66WR0cNq8YYMIsp/wbruI1BfJFK2Q9S+/z3RaKDKriSO4aEt02GtbVCEYeA/Xamw8WbU4cKgoQBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c73ffe42f40ee8e7c0beb1d9e9274732c2af2e268d2688468679c025e28f3fe1","last_reissued_at":"2026-05-18T00:02:31.065268Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:31.065268Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fermion bilinear operator critical exponents at $O(1/N^2)$ in the QED-Gross-Neveu universality class","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"J.A. Gracey","submitted_at":"2018-08-23T11:06:39Z","abstract_excerpt":"We use the critical point large $N$ formalism to calculate the critical exponents corresponding to the fermion mass operator and flavour non-singlet fermion bilinear operator in the universality class of Quantum Electrodynamics (QED) coupled to the Gross-Neveu model for an $SU(N)$ flavour symmetry in $d$-dimensions. The $\\epsilon$ expansion of the exponents in $d$ $=$ $4$ $-$ $2\\epsilon$ dimensions are in agreement with recent three and four loop perturbative evaluations of both renormalization group functions of these operators. Estimates of the value of the non-singlet operator exponent in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.07697","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1808.07697","created_at":"2026-05-18T00:02:31.065384+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.07697v2","created_at":"2026-05-18T00:02:31.065384+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.07697","created_at":"2026-05-18T00:02:31.065384+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y4774QXUB3UO","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y4774QXUB3UOPQF6","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y4774QXU","created_at":"2026-05-18T12:33:04.347982+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y4774QXUB3UOPQF6WHM6SJ2HGL","json":"https://pith.science/pith/Y4774QXUB3UOPQF6WHM6SJ2HGL.json","graph_json":"https://pith.science/api/pith-number/Y4774QXUB3UOPQF6WHM6SJ2HGL/graph.json","events_json":"https://pith.science/api/pith-number/Y4774QXUB3UOPQF6WHM6SJ2HGL/events.json","paper":"https://pith.science/paper/Y4774QXU"},"agent_actions":{"view_html":"https://pith.science/pith/Y4774QXUB3UOPQF6WHM6SJ2HGL","download_json":"https://pith.science/pith/Y4774QXUB3UOPQF6WHM6SJ2HGL.json","view_paper":"https://pith.science/paper/Y4774QXU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.07697&json=true","fetch_graph":"https://pith.science/api/pith-number/Y4774QXUB3UOPQF6WHM6SJ2HGL/graph.json","fetch_events":"https://pith.science/api/pith-number/Y4774QXUB3UOPQF6WHM6SJ2HGL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y4774QXUB3UOPQF6WHM6SJ2HGL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y4774QXUB3UOPQF6WHM6SJ2HGL/action/storage_attestation","attest_author":"https://pith.science/pith/Y4774QXUB3UOPQF6WHM6SJ2HGL/action/author_attestation","sign_citation":"https://pith.science/pith/Y4774QXUB3UOPQF6WHM6SJ2HGL/action/citation_signature","submit_replication":"https://pith.science/pith/Y4774QXUB3UOPQF6WHM6SJ2HGL/action/replication_record"}},"created_at":"2026-05-18T00:02:31.065384+00:00","updated_at":"2026-05-18T00:02:31.065384+00:00"}