{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:5NE7K3GR2HZR222Z3X5UMBBDRP","short_pith_number":"pith:5NE7K3GR","schema_version":"1.0","canonical_sha256":"eb49f56cd1d1f31d6b59ddfb4604238bc2b1b76bdb06a8530eb50cd96228d84a","source":{"kind":"arxiv","id":"hep-th/9907089","version":5},"attestation_state":"computed","paper":{"title":"Mass generation without phase coherence in the Chiral Gross-Neveu Model at finite temperature and small N in 2+1 dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Egor Babaev","submitted_at":"1999-07-13T01:45:39Z","abstract_excerpt":"The chiral Gross-Neveu model is one of the most popular toy models for QCD. In the past, it has been studied in detail in the large-N limit. In this paper we study its small-N behavior at finite temperature in 2+1 dimensions. We show that at small N the phase diagram of this model is {\\it principally} different from its behavior at $N\\to \\infty$. We show that for a small number $N$ of fermions the model possesses two characteristic temperatures $T_{KT}$ and $T^*$. That is, at small N, along with a quasiordered phase $0<T<T_{KT}$ the system possesses a very large region of precursor fluctuation"},"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/9907089","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-07-13T01:45:39Z","cross_cats_sorted":[],"title_canon_sha256":"669e8e8a04c436e3f34203c363f9f461721146b49b7bd2be2c3a3143ac343f69","abstract_canon_sha256":"6ed7163c3be5b066400173b120d6297c098acccb8767a51da3aa8758d19b49ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:54.337745Z","signature_b64":"bqnDv4jbAkGI6vy4ORBKsDyj5OwM4RrD+eAabBjvqjf2HDUQt5k2/7pHC2QexlkpFLXoLl1wFGskguIpvp8NBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb49f56cd1d1f31d6b59ddfb4604238bc2b1b76bdb06a8530eb50cd96228d84a","last_reissued_at":"2026-05-18T02:35:54.337167Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:54.337167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mass generation without phase coherence in the Chiral Gross-Neveu Model at finite temperature and small N in 2+1 dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Egor Babaev","submitted_at":"1999-07-13T01:45:39Z","abstract_excerpt":"The chiral Gross-Neveu model is one of the most popular toy models for QCD. In the past, it has been studied in detail in the large-N limit. In this paper we study its small-N behavior at finite temperature in 2+1 dimensions. We show that at small N the phase diagram of this model is {\\it principally} different from its behavior at $N\\to \\infty$. We show that for a small number $N$ of fermions the model possesses two characteristic temperatures $T_{KT}$ and $T^*$. That is, at small N, along with a quasiordered phase $0<T<T_{KT}$ the system possesses a very large region of precursor fluctuation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9907089","kind":"arxiv","version":5},"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":"hep-th/9907089","created_at":"2026-05-18T02:35:54.337279+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9907089v5","created_at":"2026-05-18T02:35:54.337279+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9907089","created_at":"2026-05-18T02:35:54.337279+00:00"},{"alias_kind":"pith_short_12","alias_value":"5NE7K3GR2HZR","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"5NE7K3GR2HZR222Z","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"5NE7K3GR","created_at":"2026-05-18T12:25:49.038998+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/5NE7K3GR2HZR222Z3X5UMBBDRP","json":"https://pith.science/pith/5NE7K3GR2HZR222Z3X5UMBBDRP.json","graph_json":"https://pith.science/api/pith-number/5NE7K3GR2HZR222Z3X5UMBBDRP/graph.json","events_json":"https://pith.science/api/pith-number/5NE7K3GR2HZR222Z3X5UMBBDRP/events.json","paper":"https://pith.science/paper/5NE7K3GR"},"agent_actions":{"view_html":"https://pith.science/pith/5NE7K3GR2HZR222Z3X5UMBBDRP","download_json":"https://pith.science/pith/5NE7K3GR2HZR222Z3X5UMBBDRP.json","view_paper":"https://pith.science/paper/5NE7K3GR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9907089&json=true","fetch_graph":"https://pith.science/api/pith-number/5NE7K3GR2HZR222Z3X5UMBBDRP/graph.json","fetch_events":"https://pith.science/api/pith-number/5NE7K3GR2HZR222Z3X5UMBBDRP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5NE7K3GR2HZR222Z3X5UMBBDRP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5NE7K3GR2HZR222Z3X5UMBBDRP/action/storage_attestation","attest_author":"https://pith.science/pith/5NE7K3GR2HZR222Z3X5UMBBDRP/action/author_attestation","sign_citation":"https://pith.science/pith/5NE7K3GR2HZR222Z3X5UMBBDRP/action/citation_signature","submit_replication":"https://pith.science/pith/5NE7K3GR2HZR222Z3X5UMBBDRP/action/replication_record"}},"created_at":"2026-05-18T02:35:54.337279+00:00","updated_at":"2026-05-18T02:35:54.337279+00:00"}