{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:5NAMA5CFIZNQOPUIIRVVID3ZNA","short_pith_number":"pith:5NAMA5CF","schema_version":"1.0","canonical_sha256":"eb40c07445465b073e88446b540f79683b2130fd736facdd2345d3a8ccb2ad47","source":{"kind":"arxiv","id":"1909.02991","version":1},"attestation_state":"computed","paper":{"title":"The QCD phase structure at finite temperature and density","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Fabian Rennecke, Jan M. Pawlowski, Wei-jie Fu","submitted_at":"2019-09-06T16:10:34Z","abstract_excerpt":"We discuss the phase structure of QCD for $N_f=2$ and $N_f=2+1$ dynamical quark flavours at finite temperature and baryon chemical potential. It emerges dynamically from the underlying fundamental interactions between quarks and gluons in our work. To this end, starting from the perturbative high-energy regime, we systematically integrate-out quantum fluctuations towards low energies by using the functional renormalisation group. By dynamically hadronising the dominant interaction channels responsible for the formation of light mesons and quark condensates, we are able to extract the phase dia"},"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":"1909.02991","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-09-06T16:10:34Z","cross_cats_sorted":[],"title_canon_sha256":"f2c05673704f2dc27317f7cae8a0edc3847a3ab9f9728ac57f27957612147d58","abstract_canon_sha256":"a8935335d663bdf2a06cfa3dc1d8895d5d91dfa708ff89cafe4c131476b15588"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:51:30.741034Z","signature_b64":"EAIayswHR3UbvDxh/2U87Ut9xKnMNAS7NAavVm7/N/dWoIe2k7+9Nje6H8qtQc0hv/YnXbTT6oGgvcUl3ax6CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb40c07445465b073e88446b540f79683b2130fd736facdd2345d3a8ccb2ad47","last_reissued_at":"2026-07-05T00:51:30.740545Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:51:30.740545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The QCD phase structure at finite temperature and density","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Fabian Rennecke, Jan M. Pawlowski, Wei-jie Fu","submitted_at":"2019-09-06T16:10:34Z","abstract_excerpt":"We discuss the phase structure of QCD for $N_f=2$ and $N_f=2+1$ dynamical quark flavours at finite temperature and baryon chemical potential. It emerges dynamically from the underlying fundamental interactions between quarks and gluons in our work. To this end, starting from the perturbative high-energy regime, we systematically integrate-out quantum fluctuations towards low energies by using the functional renormalisation group. By dynamically hadronising the dominant interaction channels responsible for the formation of light mesons and quark condensates, we are able to extract the phase dia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.02991","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1909.02991/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":"1909.02991","created_at":"2026-07-05T00:51:30.740608+00:00"},{"alias_kind":"arxiv_version","alias_value":"1909.02991v1","created_at":"2026-07-05T00:51:30.740608+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.02991","created_at":"2026-07-05T00:51:30.740608+00:00"},{"alias_kind":"pith_short_12","alias_value":"5NAMA5CFIZNQ","created_at":"2026-07-05T00:51:30.740608+00:00"},{"alias_kind":"pith_short_16","alias_value":"5NAMA5CFIZNQOPUI","created_at":"2026-07-05T00:51:30.740608+00:00"},{"alias_kind":"pith_short_8","alias_value":"5NAMA5CF","created_at":"2026-07-05T00:51:30.740608+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":24,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.07354","citing_title":"Fierz-complete four-quark interactions and the QCD phase diagram","ref_index":24,"is_internal_anchor":true},{"citing_arxiv_id":"2606.23772","citing_title":"Scalar diquarks in the QCD vacuum","ref_index":36,"is_internal_anchor":false},{"citing_arxiv_id":"2607.01783","citing_title":"Subensemble Acceptance Method 3.0: General Corrections to Cumulants from Exact Conservation Constraints","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2606.28282","citing_title":"QCD critical surface from constant entropy contours","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2605.25827","citing_title":"Hard cutoff and gauge theories","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2605.27868","citing_title":"$CP$ phase structure of QCD from functional renormalization group","ref_index":32,"is_internal_anchor":false},{"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":52,"is_internal_anchor":false},{"citing_arxiv_id":"2605.30816","citing_title":"Functional renormalization group study of the jet quenching parameter near the QCD critical end point","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2606.03294","citing_title":"Non-monotonicity of $p_T$ correlations from meson-baryon mixing","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2605.23834","citing_title":"Thermodynamics and transport in holographic QCD with Gauss-Bonnet corrections","ref_index":64,"is_internal_anchor":false},{"citing_arxiv_id":"2504.06886","citing_title":"High-order fluctuations of temperature in hot QCD matter","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13934","citing_title":"Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field","ref_index":14,"is_internal_anchor":false},{"citing_arxiv_id":"2507.13011","citing_title":"Physics-informed operator flows and observables","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2510.06712","citing_title":"Dissecting the moat regime at low energies I: Renormalization and the phase structure","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2511.07226","citing_title":"Renormalization-Group Invariant Parity-Doublet Model for Nuclear and Neutron-Star Matter","ref_index":48,"is_internal_anchor":false},{"citing_arxiv_id":"2512.08435","citing_title":"Emergence of dynamical tensor fields in composite models of gravity","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2602.08356","citing_title":"Search for the QCD Critical Point in High Energy Nuclear Collisions: A Status Report","ref_index":21,"is_internal_anchor":false},{"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":11,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13934","citing_title":"Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field","ref_index":14,"is_internal_anchor":false},{"citing_arxiv_id":"2604.23739","citing_title":"Kaon Distribution Amplitudes from Euclidean Functional QCD","ref_index":31,"is_internal_anchor":false},{"citing_arxiv_id":"2604.20196","citing_title":"Chiral first order phase transition at finite baryon density and zero temperature from self-consistent pole masses in the linear sigma model with quarks","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2604.27993","citing_title":"Hadron properties at finite temperature","ref_index":98,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26715","citing_title":"Thermodynamics of magnetized matter in hot and dense QCD","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05792","citing_title":"Charmonium production in low energy nuclear collisions at SPS and FAIR: achievements $\\&$ prospects","ref_index":15,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5NAMA5CFIZNQOPUIIRVVID3ZNA","json":"https://pith.science/pith/5NAMA5CFIZNQOPUIIRVVID3ZNA.json","graph_json":"https://pith.science/api/pith-number/5NAMA5CFIZNQOPUIIRVVID3ZNA/graph.json","events_json":"https://pith.science/api/pith-number/5NAMA5CFIZNQOPUIIRVVID3ZNA/events.json","paper":"https://pith.science/paper/5NAMA5CF"},"agent_actions":{"view_html":"https://pith.science/pith/5NAMA5CFIZNQOPUIIRVVID3ZNA","download_json":"https://pith.science/pith/5NAMA5CFIZNQOPUIIRVVID3ZNA.json","view_paper":"https://pith.science/paper/5NAMA5CF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1909.02991&json=true","fetch_graph":"https://pith.science/api/pith-number/5NAMA5CFIZNQOPUIIRVVID3ZNA/graph.json","fetch_events":"https://pith.science/api/pith-number/5NAMA5CFIZNQOPUIIRVVID3ZNA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5NAMA5CFIZNQOPUIIRVVID3ZNA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5NAMA5CFIZNQOPUIIRVVID3ZNA/action/storage_attestation","attest_author":"https://pith.science/pith/5NAMA5CFIZNQOPUIIRVVID3ZNA/action/author_attestation","sign_citation":"https://pith.science/pith/5NAMA5CFIZNQOPUIIRVVID3ZNA/action/citation_signature","submit_replication":"https://pith.science/pith/5NAMA5CFIZNQOPUIIRVVID3ZNA/action/replication_record"}},"created_at":"2026-07-05T00:51:30.740608+00:00","updated_at":"2026-07-05T00:51:30.740608+00:00"}