{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:Q7NALLAMX3E45JBZTI23ZC7K3N","short_pith_number":"pith:Q7NALLAM","schema_version":"1.0","canonical_sha256":"87da05ac0cbec9cea4399a35bc8beadb40f224549f628f83a3f25e3ec8c68619","source":{"kind":"arxiv","id":"1407.6387","version":2},"attestation_state":"computed","paper":{"title":"The equation of state in (2+1)-flavor QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-lat","authors_text":"A. Bazavov, C. DeTar, C. Schmidt, C. Schroeder, E. Laermann, F. Karsch, H.-T. Ding, L. Levkova, M. Wagner, P. Hegde, P. Petreczky, P. Vranas, Rajan Gupta, R.A. Soltz, R. Sugar, Steven Gottlieb, Swagato Mukherjee, Tanmoy Bhattacharya, U.M. Heller, W. Soeldner","submitted_at":"2014-07-23T20:48:29Z","abstract_excerpt":"We present results for the equation of state in (2+1)-flavor QCD using the highly improved staggered quark action and lattices with temporal extent $N_{\\tau}=6,~8,~10$, and $12$. We show that these data can be reliably extrapolated to the continuum limit and obtain a number of thermodynamic quantities and the speed of sound in the temperature range $(130-400)$ MeV. We compare our results with previous calculations, and provide an analytic parameterization of the pressure, from which other thermodynamic quantities can be calculated, for use in phenomenology. We show that the energy density in t"},"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":"1407.6387","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2014-07-23T20:48:29Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"6ce990e9ea74c25eec1d4f40e5d3ce6e382ccbd958a24eb799f666e0478f3422","abstract_canon_sha256":"93176fd6b974c3e2289f0ad304ca18e65fecf1a9126e28f89f5948a5e176553d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:32.493526Z","signature_b64":"5eJdQAwoVvojAlDcw5W+O1aI79uv9HjIXxYwyLv1V0Gn/IIoqaAN3XxJD3ZO7malKR+eR5Y45nOQdSrKn5HRCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87da05ac0cbec9cea4399a35bc8beadb40f224549f628f83a3f25e3ec8c68619","last_reissued_at":"2026-05-18T01:42:32.492857Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:32.492857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The equation of state in (2+1)-flavor QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-lat","authors_text":"A. Bazavov, C. DeTar, C. Schmidt, C. Schroeder, E. Laermann, F. Karsch, H.-T. Ding, L. Levkova, M. Wagner, P. Hegde, P. Petreczky, P. Vranas, Rajan Gupta, R.A. Soltz, R. Sugar, Steven Gottlieb, Swagato Mukherjee, Tanmoy Bhattacharya, U.M. Heller, W. Soeldner","submitted_at":"2014-07-23T20:48:29Z","abstract_excerpt":"We present results for the equation of state in (2+1)-flavor QCD using the highly improved staggered quark action and lattices with temporal extent $N_{\\tau}=6,~8,~10$, and $12$. We show that these data can be reliably extrapolated to the continuum limit and obtain a number of thermodynamic quantities and the speed of sound in the temperature range $(130-400)$ MeV. We compare our results with previous calculations, and provide an analytic parameterization of the pressure, from which other thermodynamic quantities can be calculated, for use in phenomenology. We show that the energy density in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6387","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":"1407.6387","created_at":"2026-05-18T01:42:32.492943+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.6387v2","created_at":"2026-05-18T01:42:32.492943+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6387","created_at":"2026-05-18T01:42:32.492943+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q7NALLAMX3E4","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q7NALLAMX3E45JBZ","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q7NALLAM","created_at":"2026-05-18T12:28:43.426989+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":19,"internal_anchor_count":12,"sample":[{"citing_arxiv_id":"1907.04654","citing_title":"Phase transitions in neutron stars and their links to gravitational waves","ref_index":113,"is_internal_anchor":true},{"citing_arxiv_id":"1907.05921","citing_title":"Matter And Gravitation In Collisions of heavy ions and neutron stars: equation of state","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"2512.08007","citing_title":"(3+1)D event-by-event pre-equilibrium dynamics in heavy-ion collisions","ref_index":72,"is_internal_anchor":true},{"citing_arxiv_id":"2605.22199","citing_title":"Equation of State at High Baryon Densities from a Thermodynamically Informed Neural Network","ref_index":1,"is_internal_anchor":true},{"citing_arxiv_id":"2605.21222","citing_title":"System-size dependence of the $D^0$--$D_s^+$ flow splitting from early $D_s^+$ formation at $\\sqrt{s_{NN}} = 5.36$~TeV","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2507.20302","citing_title":"Analytic structure of stress-energy response functions and new Kubo formulae","ref_index":2,"is_internal_anchor":true},{"citing_arxiv_id":"2508.20995","citing_title":"Bottomonium transport in a strongly coupled quark-gluon plasma","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"2509.04431","citing_title":"Extended applicability domain of viscous anisotropic hydrodynamics in (2+1)-D Bjorken flow with transverse expansion","ref_index":81,"is_internal_anchor":true},{"citing_arxiv_id":"2510.22870","citing_title":"Mass and Decay-Constant Evolution of Heavy Quarkonia and $B_c$ States from Thermal QCD Sum Rules","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2511.19255","citing_title":"Magnetic susceptibility of a hot hadronic medium and quark degrees of freedom near the QCD cross-over point","ref_index":43,"is_internal_anchor":true},{"citing_arxiv_id":"2411.04268","citing_title":"FLAG Review 2024","ref_index":117,"is_internal_anchor":true},{"citing_arxiv_id":"2602.14811","citing_title":"RG-Invariant Symmetry Ratio for QCD: A Study of $U(1)_A$ and Chiral Symmetry Restoration","ref_index":11,"is_internal_anchor":true},{"citing_arxiv_id":"2604.03849","citing_title":"Two Lectures on the Phase Diagram of QCD","ref_index":36,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26005","citing_title":"Asteroid-mass Primordial Black Holes as Dark Matter from Supersymmetry","ref_index":76,"is_internal_anchor":false},{"citing_arxiv_id":"2604.23689","citing_title":"Three regimes/phases of QCD at high T, their symmetries and N_c scaling","ref_index":22,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22352","citing_title":"Four-dimensional QCD equation of state from a quasi-parton model with physics-informed neural networks","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21633","citing_title":"Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter","ref_index":61,"is_internal_anchor":false},{"citing_arxiv_id":"2604.05144","citing_title":"Species-dependent viscous corrections at particlization: A novel relaxation time approximation approach","ref_index":22,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15737","citing_title":"Bayesian inference constraints on jet quenching across centrality, beam energy, and observable classes in LHC heavy-ion collisions","ref_index":51,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Q7NALLAMX3E45JBZTI23ZC7K3N","json":"https://pith.science/pith/Q7NALLAMX3E45JBZTI23ZC7K3N.json","graph_json":"https://pith.science/api/pith-number/Q7NALLAMX3E45JBZTI23ZC7K3N/graph.json","events_json":"https://pith.science/api/pith-number/Q7NALLAMX3E45JBZTI23ZC7K3N/events.json","paper":"https://pith.science/paper/Q7NALLAM"},"agent_actions":{"view_html":"https://pith.science/pith/Q7NALLAMX3E45JBZTI23ZC7K3N","download_json":"https://pith.science/pith/Q7NALLAMX3E45JBZTI23ZC7K3N.json","view_paper":"https://pith.science/paper/Q7NALLAM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.6387&json=true","fetch_graph":"https://pith.science/api/pith-number/Q7NALLAMX3E45JBZTI23ZC7K3N/graph.json","fetch_events":"https://pith.science/api/pith-number/Q7NALLAMX3E45JBZTI23ZC7K3N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q7NALLAMX3E45JBZTI23ZC7K3N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q7NALLAMX3E45JBZTI23ZC7K3N/action/storage_attestation","attest_author":"https://pith.science/pith/Q7NALLAMX3E45JBZTI23ZC7K3N/action/author_attestation","sign_citation":"https://pith.science/pith/Q7NALLAMX3E45JBZTI23ZC7K3N/action/citation_signature","submit_replication":"https://pith.science/pith/Q7NALLAMX3E45JBZTI23ZC7K3N/action/replication_record"}},"created_at":"2026-05-18T01:42:32.492943+00:00","updated_at":"2026-05-18T01:42:32.492943+00:00"}