{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:HYAOINTDLQKO2TL2OMVI4X3BC4","short_pith_number":"pith:HYAOINTD","schema_version":"1.0","canonical_sha256":"3e00e436635c14ed4d7a732a8e5f611715e72fd5311f3e2b7142236a293a057d","source":{"kind":"arxiv","id":"hep-th/9909052","version":4},"attestation_state":"computed","paper":{"title":"Nonlinear sigma model approach for phase disorder transitions and the pseudogap phase in chiral Gross-Neveu, Nambu-Jona-Lasinio models and strong-coupling superconductors","license":"","headline":"","cross_cats":["cond-mat.supr-con","hep-ph"],"primary_cat":"hep-th","authors_text":"Egor Babaev","submitted_at":"1999-09-09T22:11:59Z","abstract_excerpt":"We briefly review the nonlinear sigma model approach for the subject of increasing interest: \"two-step\" phase transitions in the Gross-Neveu and the modified Nambu-Jona-Lasinio models at low $N$ and condensation from pseudogap phase in strong-coupling superconductors. Recent success in describing \"Bose-type\" superconductors that possess two characterstic temperatures and a pseudogap above $T_c$ is the development approximately comparable with the BCS theory. One can expect that it should have influence on high-energy physics, similar to impact of the BCS theory on this subject. Although first "},"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/9909052","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-09-09T22:11:59Z","cross_cats_sorted":["cond-mat.supr-con","hep-ph"],"title_canon_sha256":"a9b0581bc3e79f30b5f7668f51f8a624ab37f8b427a72fce9950054131de0639","abstract_canon_sha256":"ad4b2172f83efad9d03761c127ecb7f42bb3f7aaab3fb1cd064ead60a6d6e0fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:54.224726Z","signature_b64":"F3Z7al6kiazd+CIj49Do5iMYCmlBmZhXB/IsBpzXNUmg5h3bR+P8wyW3pAYZivME3lbZUEjJScZ13ozQyndcCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e00e436635c14ed4d7a732a8e5f611715e72fd5311f3e2b7142236a293a057d","last_reissued_at":"2026-05-18T02:35:54.224200Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:54.224200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear sigma model approach for phase disorder transitions and the pseudogap phase in chiral Gross-Neveu, Nambu-Jona-Lasinio models and strong-coupling superconductors","license":"","headline":"","cross_cats":["cond-mat.supr-con","hep-ph"],"primary_cat":"hep-th","authors_text":"Egor Babaev","submitted_at":"1999-09-09T22:11:59Z","abstract_excerpt":"We briefly review the nonlinear sigma model approach for the subject of increasing interest: \"two-step\" phase transitions in the Gross-Neveu and the modified Nambu-Jona-Lasinio models at low $N$ and condensation from pseudogap phase in strong-coupling superconductors. Recent success in describing \"Bose-type\" superconductors that possess two characterstic temperatures and a pseudogap above $T_c$ is the development approximately comparable with the BCS theory. One can expect that it should have influence on high-energy physics, similar to impact of the BCS theory on this subject. Although first "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9909052","kind":"arxiv","version":4},"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/9909052","created_at":"2026-05-18T02:35:54.224282+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9909052v4","created_at":"2026-05-18T02:35:54.224282+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9909052","created_at":"2026-05-18T02:35:54.224282+00:00"},{"alias_kind":"pith_short_12","alias_value":"HYAOINTDLQKO","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"HYAOINTDLQKO2TL2","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"HYAOINTD","created_at":"2026-05-18T12:25:49.631198+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/HYAOINTDLQKO2TL2OMVI4X3BC4","json":"https://pith.science/pith/HYAOINTDLQKO2TL2OMVI4X3BC4.json","graph_json":"https://pith.science/api/pith-number/HYAOINTDLQKO2TL2OMVI4X3BC4/graph.json","events_json":"https://pith.science/api/pith-number/HYAOINTDLQKO2TL2OMVI4X3BC4/events.json","paper":"https://pith.science/paper/HYAOINTD"},"agent_actions":{"view_html":"https://pith.science/pith/HYAOINTDLQKO2TL2OMVI4X3BC4","download_json":"https://pith.science/pith/HYAOINTDLQKO2TL2OMVI4X3BC4.json","view_paper":"https://pith.science/paper/HYAOINTD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9909052&json=true","fetch_graph":"https://pith.science/api/pith-number/HYAOINTDLQKO2TL2OMVI4X3BC4/graph.json","fetch_events":"https://pith.science/api/pith-number/HYAOINTDLQKO2TL2OMVI4X3BC4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HYAOINTDLQKO2TL2OMVI4X3BC4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HYAOINTDLQKO2TL2OMVI4X3BC4/action/storage_attestation","attest_author":"https://pith.science/pith/HYAOINTDLQKO2TL2OMVI4X3BC4/action/author_attestation","sign_citation":"https://pith.science/pith/HYAOINTDLQKO2TL2OMVI4X3BC4/action/citation_signature","submit_replication":"https://pith.science/pith/HYAOINTDLQKO2TL2OMVI4X3BC4/action/replication_record"}},"created_at":"2026-05-18T02:35:54.224282+00:00","updated_at":"2026-05-18T02:35:54.224282+00:00"}