{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:5LODHPSXE63GTYIQRYLWZ5X27V","short_pith_number":"pith:5LODHPSX","schema_version":"1.0","canonical_sha256":"eadc33be5727b669e1108e176cf6fafd74b8dd77dd8dc234ca90ea25b53fa163","source":{"kind":"arxiv","id":"0704.2843","version":1},"attestation_state":"computed","paper":{"title":"The 2d Gross-Neveu Model at Finite Temperature and Density with Finite Corrections","license":"","headline":"","cross_cats":["cond-mat.other","hep-th"],"primary_cat":"hep-ph","authors_text":"Jean-Loic Kneur, Marcus Benghi Pinto, Rudnei O. Ramos","submitted_at":"2007-04-21T18:17:53Z","abstract_excerpt":"We use the linear $\\delta$ expansion, or optimized perturbation theory, to evaluate the effective potential for the two dimensional Gross-Neveu model at finite temperature and density obtaining analytical equations for the critical temperature, chemical potential and fermionic mass which include finite $N$ corrections. Our results seem to improve over the traditional large-N predictions."},"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":"0704.2843","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-04-21T18:17:53Z","cross_cats_sorted":["cond-mat.other","hep-th"],"title_canon_sha256":"fc0075a8f003cd1d329fec06b1ba9fa9b45b22d7182899bb9dcf75b6844efc12","abstract_canon_sha256":"f6f686b89832a860715ad5ae0073ab1084a7f30774e2c9cc3f0680d3aa7ce036"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:23.429153Z","signature_b64":"2NIs9tROpDf2RCR1CgK4jqkC1MlsZ9EgNlKQWbKN0jKszjqB1DCDTnvZiRx/d1kaimsrLfxsaAIq2CQlSjeOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eadc33be5727b669e1108e176cf6fafd74b8dd77dd8dc234ca90ea25b53fa163","last_reissued_at":"2026-05-18T04:16:23.428542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:23.428542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The 2d Gross-Neveu Model at Finite Temperature and Density with Finite Corrections","license":"","headline":"","cross_cats":["cond-mat.other","hep-th"],"primary_cat":"hep-ph","authors_text":"Jean-Loic Kneur, Marcus Benghi Pinto, Rudnei O. Ramos","submitted_at":"2007-04-21T18:17:53Z","abstract_excerpt":"We use the linear $\\delta$ expansion, or optimized perturbation theory, to evaluate the effective potential for the two dimensional Gross-Neveu model at finite temperature and density obtaining analytical equations for the critical temperature, chemical potential and fermionic mass which include finite $N$ corrections. Our results seem to improve over the traditional large-N predictions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.2843","kind":"arxiv","version":1},"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":"0704.2843","created_at":"2026-05-18T04:16:23.428657+00:00"},{"alias_kind":"arxiv_version","alias_value":"0704.2843v1","created_at":"2026-05-18T04:16:23.428657+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.2843","created_at":"2026-05-18T04:16:23.428657+00:00"},{"alias_kind":"pith_short_12","alias_value":"5LODHPSXE63G","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"5LODHPSXE63GTYIQ","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"5LODHPSX","created_at":"2026-05-18T12:25:55.427421+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/5LODHPSXE63GTYIQRYLWZ5X27V","json":"https://pith.science/pith/5LODHPSXE63GTYIQRYLWZ5X27V.json","graph_json":"https://pith.science/api/pith-number/5LODHPSXE63GTYIQRYLWZ5X27V/graph.json","events_json":"https://pith.science/api/pith-number/5LODHPSXE63GTYIQRYLWZ5X27V/events.json","paper":"https://pith.science/paper/5LODHPSX"},"agent_actions":{"view_html":"https://pith.science/pith/5LODHPSXE63GTYIQRYLWZ5X27V","download_json":"https://pith.science/pith/5LODHPSXE63GTYIQRYLWZ5X27V.json","view_paper":"https://pith.science/paper/5LODHPSX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0704.2843&json=true","fetch_graph":"https://pith.science/api/pith-number/5LODHPSXE63GTYIQRYLWZ5X27V/graph.json","fetch_events":"https://pith.science/api/pith-number/5LODHPSXE63GTYIQRYLWZ5X27V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5LODHPSXE63GTYIQRYLWZ5X27V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5LODHPSXE63GTYIQRYLWZ5X27V/action/storage_attestation","attest_author":"https://pith.science/pith/5LODHPSXE63GTYIQRYLWZ5X27V/action/author_attestation","sign_citation":"https://pith.science/pith/5LODHPSXE63GTYIQRYLWZ5X27V/action/citation_signature","submit_replication":"https://pith.science/pith/5LODHPSXE63GTYIQRYLWZ5X27V/action/replication_record"}},"created_at":"2026-05-18T04:16:23.428657+00:00","updated_at":"2026-05-18T04:16:23.428657+00:00"}