{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:BVVEV4URHBHB4HPZ5AO7G24HOV","short_pith_number":"pith:BVVEV4UR","schema_version":"1.0","canonical_sha256":"0d6a4af291384e1e1df9e81df36b877547a4a8b0501dcd8e8016f27982296e87","source":{"kind":"arxiv","id":"1404.4094","version":2},"attestation_state":"computed","paper":{"title":"Factorization breaking of four-quark condensates in the Nambu Jona Lasinio model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Fabio L. Braghin, Fernando S. Navarra","submitted_at":"2014-04-15T22:05:23Z","abstract_excerpt":"We investigate the factorization hypothesis of the four-quark condensate $\\langle q \\bar{q} q \\bar{q} \\rangle = \\, A \\, \\langle q \\bar{q} \\rangle^2$ with the help of the Nambu Jona-Lasinio Model supplemented with eighth order interactions. For that purpose we use the bosonization method with multiple auxiliary variables. We find that in a simplified U(1) version of the model factorization holds, whereas in the full SU(3)-flavor version of the model factorization is broken by terms which are related to the 't Hooft interactions."},"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":"1404.4094","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-04-15T22:05:23Z","cross_cats_sorted":[],"title_canon_sha256":"2fca22cbbd1743cf9ce93960203c8ffd1bf33a18bf626acb432671716cbb860a","abstract_canon_sha256":"4be994795ff939ab6251b7429e44e834e676298b82a834e2c4e1c386baa8a62f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:49.862402Z","signature_b64":"ebxqsUpVYF1D9lLZlRPUda7vW1RDRIBMC4DJRsp8tEkaaxD+kenkvRm1uTB785whPQNhO5VE4bn5D6+zHIz2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d6a4af291384e1e1df9e81df36b877547a4a8b0501dcd8e8016f27982296e87","last_reissued_at":"2026-05-18T02:18:49.861715Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:49.861715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Factorization breaking of four-quark condensates in the Nambu Jona Lasinio model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Fabio L. Braghin, Fernando S. Navarra","submitted_at":"2014-04-15T22:05:23Z","abstract_excerpt":"We investigate the factorization hypothesis of the four-quark condensate $\\langle q \\bar{q} q \\bar{q} \\rangle = \\, A \\, \\langle q \\bar{q} \\rangle^2$ with the help of the Nambu Jona-Lasinio Model supplemented with eighth order interactions. For that purpose we use the bosonization method with multiple auxiliary variables. We find that in a simplified U(1) version of the model factorization holds, whereas in the full SU(3)-flavor version of the model factorization is broken by terms which are related to the 't Hooft interactions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4094","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":"1404.4094","created_at":"2026-05-18T02:18:49.861806+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.4094v2","created_at":"2026-05-18T02:18:49.861806+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4094","created_at":"2026-05-18T02:18:49.861806+00:00"},{"alias_kind":"pith_short_12","alias_value":"BVVEV4URHBHB","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"BVVEV4URHBHB4HPZ","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"BVVEV4UR","created_at":"2026-05-18T12:28:22.404517+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/BVVEV4URHBHB4HPZ5AO7G24HOV","json":"https://pith.science/pith/BVVEV4URHBHB4HPZ5AO7G24HOV.json","graph_json":"https://pith.science/api/pith-number/BVVEV4URHBHB4HPZ5AO7G24HOV/graph.json","events_json":"https://pith.science/api/pith-number/BVVEV4URHBHB4HPZ5AO7G24HOV/events.json","paper":"https://pith.science/paper/BVVEV4UR"},"agent_actions":{"view_html":"https://pith.science/pith/BVVEV4URHBHB4HPZ5AO7G24HOV","download_json":"https://pith.science/pith/BVVEV4URHBHB4HPZ5AO7G24HOV.json","view_paper":"https://pith.science/paper/BVVEV4UR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.4094&json=true","fetch_graph":"https://pith.science/api/pith-number/BVVEV4URHBHB4HPZ5AO7G24HOV/graph.json","fetch_events":"https://pith.science/api/pith-number/BVVEV4URHBHB4HPZ5AO7G24HOV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BVVEV4URHBHB4HPZ5AO7G24HOV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BVVEV4URHBHB4HPZ5AO7G24HOV/action/storage_attestation","attest_author":"https://pith.science/pith/BVVEV4URHBHB4HPZ5AO7G24HOV/action/author_attestation","sign_citation":"https://pith.science/pith/BVVEV4URHBHB4HPZ5AO7G24HOV/action/citation_signature","submit_replication":"https://pith.science/pith/BVVEV4URHBHB4HPZ5AO7G24HOV/action/replication_record"}},"created_at":"2026-05-18T02:18:49.861806+00:00","updated_at":"2026-05-18T02:18:49.861806+00:00"}