{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:CWN73KZSDSFSYYH3CDWGXXYL54","short_pith_number":"pith:CWN73KZS","schema_version":"1.0","canonical_sha256":"159bfdab321c8b2c60fb10ec6bdf0bef2755a2c058b9b752017f8a96820fa340","source":{"kind":"arxiv","id":"2406.19780","version":2},"attestation_state":"computed","paper":{"title":"QCD with background electromagnetic fields on the lattice: a review","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["hep-ph","hep-th","nucl-th"],"primary_cat":"hep-lat","authors_text":"Gergely Endrodi","submitted_at":"2024-06-28T09:35:46Z","abstract_excerpt":"This review provides a comprehensive summary of results on the physics of strongly interacting matter in the presence of background electromagnetic fields, obtained via numerical lattice simulations of the underlying theory, Quantum Chromodynamics (QCD). Lattice QCD has guided our understanding of magnetized quarks and gluons via landmark results on the phase diagram, the equation of state, the confinemenent mechanism, anomalous transport phenomena as well as many more fascinating effects. Some of the lattice results lead to completely new paradigms in the description of hot magnetized quark m"},"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":"2406.19780","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-lat","submitted_at":"2024-06-28T09:35:46Z","cross_cats_sorted":["hep-ph","hep-th","nucl-th"],"title_canon_sha256":"e063457925e4441d829064e3ab8e6182bce429572737e6b40d6d4827968af2d5","abstract_canon_sha256":"94d563f31a5e7d2cb78cbeee3005d2973a92afd52d6fa7d4bd2cb70717720f94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:57:43.906755Z","signature_b64":"j6Q+JJlnJjVNw5vn33h9vuEst1kFOz7eWPKUWH6DS/uVQPIyIW9E7KYnvdvuYsIeAe1r6lySwv9dzgb2QnmPAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"159bfdab321c8b2c60fb10ec6bdf0bef2755a2c058b9b752017f8a96820fa340","last_reissued_at":"2026-07-05T09:57:43.906069Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:57:43.906069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"QCD with background electromagnetic fields on the lattice: a review","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["hep-ph","hep-th","nucl-th"],"primary_cat":"hep-lat","authors_text":"Gergely Endrodi","submitted_at":"2024-06-28T09:35:46Z","abstract_excerpt":"This review provides a comprehensive summary of results on the physics of strongly interacting matter in the presence of background electromagnetic fields, obtained via numerical lattice simulations of the underlying theory, Quantum Chromodynamics (QCD). Lattice QCD has guided our understanding of magnetized quarks and gluons via landmark results on the phase diagram, the equation of state, the confinemenent mechanism, anomalous transport phenomena as well as many more fascinating effects. Some of the lattice results lead to completely new paradigms in the description of hot magnetized quark m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.19780","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.19780/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":"2406.19780","created_at":"2026-07-05T09:57:43.906149+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.19780v2","created_at":"2026-07-05T09:57:43.906149+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.19780","created_at":"2026-07-05T09:57:43.906149+00:00"},{"alias_kind":"pith_short_12","alias_value":"CWN73KZSDSFS","created_at":"2026-07-05T09:57:43.906149+00:00"},{"alias_kind":"pith_short_16","alias_value":"CWN73KZSDSFSYYH3","created_at":"2026-07-05T09:57:43.906149+00:00"},{"alias_kind":"pith_short_8","alias_value":"CWN73KZS","created_at":"2026-07-05T09:57:43.906149+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":12,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.06498","citing_title":"Effective Lagrangian of a fermion field in a nontrivial topology under magnetic effects","ref_index":41,"is_internal_anchor":true},{"citing_arxiv_id":"2606.23736","citing_title":"From Magnetic to Inverse Magnetic Catalysis: The Interplay of Quark and Gluon Mass Generation in Magnetic Fields","ref_index":14,"is_internal_anchor":false},{"citing_arxiv_id":"2606.28111","citing_title":"Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2606.30164","citing_title":"Isospin-Driven Splitting of Chemical Potentials in Isobar Collisions from Lattice QCD","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2606.31697","citing_title":"Hadronic exceptional points","ref_index":40,"is_internal_anchor":false},{"citing_arxiv_id":"2605.14372","citing_title":"Complete one-loop self-energies of the linear sigma model coupled to quarks at finite temperature and in a magnetic field","ref_index":28,"is_internal_anchor":false},{"citing_arxiv_id":"2605.25487","citing_title":"A higher-harmonic observable for the chiral magnetic effect in heavy-ion collisions","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2601.18354","citing_title":"Chiral Properties of $(2\\!+\\!1)$-Flavor QCD in Magnetic Fields at Zero Temperature","ref_index":7,"is_internal_anchor":false},{"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":17,"is_internal_anchor":false},{"citing_arxiv_id":"2601.01478","citing_title":"On electric fields in hot QCD: infrared regularization dependence","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2604.24595","citing_title":"Mass spectra of charged mesons and the quenching of vector meson condensation via exact phase-space diagonalization","ref_index":49,"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":27,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CWN73KZSDSFSYYH3CDWGXXYL54","json":"https://pith.science/pith/CWN73KZSDSFSYYH3CDWGXXYL54.json","graph_json":"https://pith.science/api/pith-number/CWN73KZSDSFSYYH3CDWGXXYL54/graph.json","events_json":"https://pith.science/api/pith-number/CWN73KZSDSFSYYH3CDWGXXYL54/events.json","paper":"https://pith.science/paper/CWN73KZS"},"agent_actions":{"view_html":"https://pith.science/pith/CWN73KZSDSFSYYH3CDWGXXYL54","download_json":"https://pith.science/pith/CWN73KZSDSFSYYH3CDWGXXYL54.json","view_paper":"https://pith.science/paper/CWN73KZS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.19780&json=true","fetch_graph":"https://pith.science/api/pith-number/CWN73KZSDSFSYYH3CDWGXXYL54/graph.json","fetch_events":"https://pith.science/api/pith-number/CWN73KZSDSFSYYH3CDWGXXYL54/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CWN73KZSDSFSYYH3CDWGXXYL54/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CWN73KZSDSFSYYH3CDWGXXYL54/action/storage_attestation","attest_author":"https://pith.science/pith/CWN73KZSDSFSYYH3CDWGXXYL54/action/author_attestation","sign_citation":"https://pith.science/pith/CWN73KZSDSFSYYH3CDWGXXYL54/action/citation_signature","submit_replication":"https://pith.science/pith/CWN73KZSDSFSYYH3CDWGXXYL54/action/replication_record"}},"created_at":"2026-07-05T09:57:43.906149+00:00","updated_at":"2026-07-05T09:57:43.906149+00:00"}