{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:AY4B2URCQM3O5K6YTISXONHU7Y","short_pith_number":"pith:AY4B2URC","schema_version":"1.0","canonical_sha256":"06381d52228336eeabd89a257734f4fe2b5e45827300206054819616525b6262","source":{"kind":"arxiv","id":"1301.1307","version":2},"attestation_state":"computed","paper":{"title":"QCD equation of state at nonzero magnetic fields in the Hadron Resonance Gas model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Gergely Endrodi","submitted_at":"2013-01-07T19:12:05Z","abstract_excerpt":"The Hadron Resonance Gas (HRG) model is considered to study the QCD equation of state for the case of nonzero external magnetic fields. Thermodynamic observables including the pressure, energy density, entropy density, magnetization and the speed of sound are presented as functions of the temperature and the magnetic field. The magnetization is determined to be positive, indicating that the hadronic phase of QCD is paramagnetic. The behavior of the speed of sound suggests that the deconfinement transition temperature is lowered as the magnetic field grows. Moreover, a simple correspondence is "},"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":"1301.1307","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-01-07T19:12:05Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"7081c7cf5a4c512e9b8a973425a6b0fb14c55662cb00b95baa117e5298e01838","abstract_canon_sha256":"f693f2b0af03e7b20b8d7d706afff9cde114f45424b60cdddd8e16e78444e3d6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:20.928131Z","signature_b64":"EQ8pzF0CvomN/p3htlhbtqGJkxXg/JKjlbmEveV+3tQnmoM8vxbcw4HgN8Rd/1D50abT1QIQMjiN07nt0UKdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06381d52228336eeabd89a257734f4fe2b5e45827300206054819616525b6262","last_reissued_at":"2026-05-18T01:52:20.927727Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:20.927727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"QCD equation of state at nonzero magnetic fields in the Hadron Resonance Gas model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Gergely Endrodi","submitted_at":"2013-01-07T19:12:05Z","abstract_excerpt":"The Hadron Resonance Gas (HRG) model is considered to study the QCD equation of state for the case of nonzero external magnetic fields. Thermodynamic observables including the pressure, energy density, entropy density, magnetization and the speed of sound are presented as functions of the temperature and the magnetic field. The magnetization is determined to be positive, indicating that the hadronic phase of QCD is paramagnetic. The behavior of the speed of sound suggests that the deconfinement transition temperature is lowered as the magnetic field grows. Moreover, a simple correspondence is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1307","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":"1301.1307","created_at":"2026-05-18T01:52:20.927799+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.1307v2","created_at":"2026-05-18T01:52:20.927799+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1307","created_at":"2026-05-18T01:52:20.927799+00:00"},{"alias_kind":"pith_short_12","alias_value":"AY4B2URCQM3O","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"AY4B2URCQM3O5K6Y","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"AY4B2URC","created_at":"2026-05-18T12:27:38.830355+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":3,"sample":[{"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":38,"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":10,"is_internal_anchor":true},{"citing_arxiv_id":"2601.01478","citing_title":"On electric fields in hot QCD: infrared regularization dependence","ref_index":14,"is_internal_anchor":true},{"citing_arxiv_id":"2604.26715","citing_title":"Thermodynamics of magnetized matter in hot and dense QCD","ref_index":142,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15897","citing_title":"Delineating neutral and charged mesons in magnetic fields","ref_index":26,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AY4B2URCQM3O5K6YTISXONHU7Y","json":"https://pith.science/pith/AY4B2URCQM3O5K6YTISXONHU7Y.json","graph_json":"https://pith.science/api/pith-number/AY4B2URCQM3O5K6YTISXONHU7Y/graph.json","events_json":"https://pith.science/api/pith-number/AY4B2URCQM3O5K6YTISXONHU7Y/events.json","paper":"https://pith.science/paper/AY4B2URC"},"agent_actions":{"view_html":"https://pith.science/pith/AY4B2URCQM3O5K6YTISXONHU7Y","download_json":"https://pith.science/pith/AY4B2URCQM3O5K6YTISXONHU7Y.json","view_paper":"https://pith.science/paper/AY4B2URC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.1307&json=true","fetch_graph":"https://pith.science/api/pith-number/AY4B2URCQM3O5K6YTISXONHU7Y/graph.json","fetch_events":"https://pith.science/api/pith-number/AY4B2URCQM3O5K6YTISXONHU7Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AY4B2URCQM3O5K6YTISXONHU7Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AY4B2URCQM3O5K6YTISXONHU7Y/action/storage_attestation","attest_author":"https://pith.science/pith/AY4B2URCQM3O5K6YTISXONHU7Y/action/author_attestation","sign_citation":"https://pith.science/pith/AY4B2URCQM3O5K6YTISXONHU7Y/action/citation_signature","submit_replication":"https://pith.science/pith/AY4B2URCQM3O5K6YTISXONHU7Y/action/replication_record"}},"created_at":"2026-05-18T01:52:20.927799+00:00","updated_at":"2026-05-18T01:52:20.927799+00:00"}