{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:Z4BYJVRETXD34MM3WKU3YZHM2M","short_pith_number":"pith:Z4BYJVRE","schema_version":"1.0","canonical_sha256":"cf0384d6249dc7be319bb2a9bc64ecd30d408d6726ac5582684736a9e4fe4ca3","source":{"kind":"arxiv","id":"hep-ph/0307089","version":4},"attestation_state":"computed","paper":{"title":"Functional integrals for QCD at nonzero chemical potential and zero density","license":"","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Thomas D . Cohen","submitted_at":"2003-07-07T15:13:40Z","abstract_excerpt":"In a Euclidean space functional integral treatment of the free energy of QCD, a chemical potential enters only through the functional determinant of the Dirac operator which for any flavor is $\\dslash + m - \\mu_f \\gamma_0$ (where $\\mu_f$ is the chemical potential for the given flavor). Any nonzero $\\mu$ alters all of the eigenvalues of the Dirac operator relative to the $\\mu=0$ value, leading to a naive expectation that the determinant is altered and which thereby alters the free energy. Phenomenologically, this does not occur at T=0 for sufficiently small $\\mu$, in contradiction to this naive"},"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-ph/0307089","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2003-07-07T15:13:40Z","cross_cats_sorted":["hep-lat","hep-th","nucl-th"],"title_canon_sha256":"edf39405bde0d5d2c2705d7b9d5e53968219b017ed1971adcbbbf4282bfc5dfb","abstract_canon_sha256":"be3941ef629993f2e468350057e81890ead565418016d9d2237293d2445279b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:40:48.636326Z","signature_b64":"vt/wcfaUllIkXJfCRNEVYIOWCquuvku4CQ7l/Nz5COcwXapVm8OTV2QBgJfRKSqLSxpAjhneYDN6BHj/lIk0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf0384d6249dc7be319bb2a9bc64ecd30d408d6726ac5582684736a9e4fe4ca3","last_reissued_at":"2026-07-04T16:40:48.635709Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:40:48.635709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Functional integrals for QCD at nonzero chemical potential and zero density","license":"","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Thomas D . Cohen","submitted_at":"2003-07-07T15:13:40Z","abstract_excerpt":"In a Euclidean space functional integral treatment of the free energy of QCD, a chemical potential enters only through the functional determinant of the Dirac operator which for any flavor is $\\dslash + m - \\mu_f \\gamma_0$ (where $\\mu_f$ is the chemical potential for the given flavor). Any nonzero $\\mu$ alters all of the eigenvalues of the Dirac operator relative to the $\\mu=0$ value, leading to a naive expectation that the determinant is altered and which thereby alters the free energy. Phenomenologically, this does not occur at T=0 for sufficiently small $\\mu$, in contradiction to this naive"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0307089","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0307089/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-ph/0307089","created_at":"2026-07-04T16:40:48.635770+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0307089v4","created_at":"2026-07-04T16:40:48.635770+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0307089","created_at":"2026-07-04T16:40:48.635770+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z4BYJVRETXD3","created_at":"2026-07-04T16:40:48.635770+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z4BYJVRETXD34MM3","created_at":"2026-07-04T16:40:48.635770+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z4BYJVRE","created_at":"2026-07-04T16:40:48.635770+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":9,"internal_anchor_count":7,"sample":[{"citing_arxiv_id":"2606.23772","citing_title":"Scalar diquarks in the QCD vacuum","ref_index":141,"is_internal_anchor":true},{"citing_arxiv_id":"2605.29701","citing_title":"Thermodynamics in symmetry-improved Cornwall-Jackiw-Tomboulis formalism: application to the low-energy effective theory of QCD","ref_index":50,"is_internal_anchor":true},{"citing_arxiv_id":"1907.08179","citing_title":"Strangeness neutrality and the QCD phase diagram","ref_index":39,"is_internal_anchor":true},{"citing_arxiv_id":"2605.13934","citing_title":"Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field","ref_index":82,"is_internal_anchor":true},{"citing_arxiv_id":"2510.06712","citing_title":"Dissecting the moat regime at low energies I: Renormalization and the phase structure","ref_index":77,"is_internal_anchor":true},{"citing_arxiv_id":"2602.17456","citing_title":"Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"2605.13934","citing_title":"Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field","ref_index":82,"is_internal_anchor":true},{"citing_arxiv_id":"2604.21633","citing_title":"Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter","ref_index":58,"is_internal_anchor":false},{"citing_arxiv_id":"2605.07745","citing_title":"The massive Thirring / sine-Gordon model with non-zero current density","ref_index":19,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Z4BYJVRETXD34MM3WKU3YZHM2M","json":"https://pith.science/pith/Z4BYJVRETXD34MM3WKU3YZHM2M.json","graph_json":"https://pith.science/api/pith-number/Z4BYJVRETXD34MM3WKU3YZHM2M/graph.json","events_json":"https://pith.science/api/pith-number/Z4BYJVRETXD34MM3WKU3YZHM2M/events.json","paper":"https://pith.science/paper/Z4BYJVRE"},"agent_actions":{"view_html":"https://pith.science/pith/Z4BYJVRETXD34MM3WKU3YZHM2M","download_json":"https://pith.science/pith/Z4BYJVRETXD34MM3WKU3YZHM2M.json","view_paper":"https://pith.science/paper/Z4BYJVRE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0307089&json=true","fetch_graph":"https://pith.science/api/pith-number/Z4BYJVRETXD34MM3WKU3YZHM2M/graph.json","fetch_events":"https://pith.science/api/pith-number/Z4BYJVRETXD34MM3WKU3YZHM2M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z4BYJVRETXD34MM3WKU3YZHM2M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z4BYJVRETXD34MM3WKU3YZHM2M/action/storage_attestation","attest_author":"https://pith.science/pith/Z4BYJVRETXD34MM3WKU3YZHM2M/action/author_attestation","sign_citation":"https://pith.science/pith/Z4BYJVRETXD34MM3WKU3YZHM2M/action/citation_signature","submit_replication":"https://pith.science/pith/Z4BYJVRETXD34MM3WKU3YZHM2M/action/replication_record"}},"created_at":"2026-07-04T16:40:48.635770+00:00","updated_at":"2026-07-04T16:40:48.635770+00:00"}