{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1995:X443XKRSEKQYTHAATMHKWZOXFU","short_pith_number":"pith:X443XKRS","schema_version":"1.0","canonical_sha256":"bf39bbaa3222a1899c009b0eab65d72d1019d3cd007629260a75c2791844a100","source":{"kind":"arxiv","id":"hep-th/9512086","version":3},"attestation_state":"computed","paper":{"title":"Exact renormalization group study of fermionic theories","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Enrique Moreno, Jordi Comellas, Yuri Kubyshin","submitted_at":"1995-12-12T13:13:38Z","abstract_excerpt":"The exact renormalization group approach (ERG) is developed for the case of pure fermionic theories by deriving a Grassmann version of the ERG equation and applying it to the study of fixed point solutions and critical exponents of the two-dimensional chiral Gross-Neveu model. An approximation based on the derivative expansion and a further truncation in the number of fields is used. Two solutions are obtained analytically in the limit $N\\to \\infty $, with N being the number of fermionic species. For finite N some fixed point solutions, with their anomalous dimensions and critical exponents, a"},"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":"hep-th/9512086","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-12-12T13:13:38Z","cross_cats_sorted":[],"title_canon_sha256":"950c46af82423ff82cb7df7c3e6aca7718c6906a333483602b39b31153528412","abstract_canon_sha256":"40ee34457d7bc8b8ca0a748f3f74888fbedf9abbc5a25444a2ed7a8e3a1b48c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:59:47.996086Z","signature_b64":"G3fjocaK8Cpu0XcUj3+bPt831sE/nBqlzzjs5RRiKShnSkXgR2KuhOXRP3Q387E6Aaogtz6Q6l8G+QSGiaeMAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf39bbaa3222a1899c009b0eab65d72d1019d3cd007629260a75c2791844a100","last_reissued_at":"2026-07-04T15:59:47.995729Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:59:47.995729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact renormalization group study of fermionic theories","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Enrique Moreno, Jordi Comellas, Yuri Kubyshin","submitted_at":"1995-12-12T13:13:38Z","abstract_excerpt":"The exact renormalization group approach (ERG) is developed for the case of pure fermionic theories by deriving a Grassmann version of the ERG equation and applying it to the study of fixed point solutions and critical exponents of the two-dimensional chiral Gross-Neveu model. An approximation based on the derivative expansion and a further truncation in the number of fields is used. Two solutions are obtained analytically in the limit $N\\to \\infty $, with N being the number of fermionic species. For finite N some fixed point solutions, with their anomalous dimensions and critical exponents, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9512086","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9512086/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"hep-th/9512086","created_at":"2026-07-04T15:59:47.995789+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9512086v3","created_at":"2026-07-04T15:59:47.995789+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9512086","created_at":"2026-07-04T15:59:47.995789+00:00"},{"alias_kind":"pith_short_12","alias_value":"X443XKRSEKQY","created_at":"2026-07-04T15:59:47.995789+00:00"},{"alias_kind":"pith_short_16","alias_value":"X443XKRSEKQYTHAA","created_at":"2026-07-04T15:59:47.995789+00:00"},{"alias_kind":"pith_short_8","alias_value":"X443XKRS","created_at":"2026-07-04T15:59:47.995789+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.04473","citing_title":"Fermions and the Renormalisation Group at Large N","ref_index":49,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU","json":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU.json","graph_json":"https://pith.science/api/pith-number/X443XKRSEKQYTHAATMHKWZOXFU/graph.json","events_json":"https://pith.science/api/pith-number/X443XKRSEKQYTHAATMHKWZOXFU/events.json","paper":"https://pith.science/paper/X443XKRS"},"agent_actions":{"view_html":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU","download_json":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU.json","view_paper":"https://pith.science/paper/X443XKRS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9512086&json=true","fetch_graph":"https://pith.science/api/pith-number/X443XKRSEKQYTHAATMHKWZOXFU/graph.json","fetch_events":"https://pith.science/api/pith-number/X443XKRSEKQYTHAATMHKWZOXFU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU/action/storage_attestation","attest_author":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU/action/author_attestation","sign_citation":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU/action/citation_signature","submit_replication":"https://pith.science/pith/X443XKRSEKQYTHAATMHKWZOXFU/action/replication_record"}},"created_at":"2026-07-04T15:59:47.995789+00:00","updated_at":"2026-07-04T15:59:47.995789+00:00"}