{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:VI2QIN6VCUCGNVEH7APUEMYCOQ","short_pith_number":"pith:VI2QIN6V","schema_version":"1.0","canonical_sha256":"aa350437d5150466d487f81f423302743e3ad13959ddc2dbf6e1ad3ea3dfc4ae","source":{"kind":"arxiv","id":"0706.2191","version":3},"attestation_state":"computed","paper":{"title":"Phases of Dense Quarks at Large N_c","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Larry McLerran, Robert D. Pisarski","submitted_at":"2007-06-14T20:22:50Z","abstract_excerpt":"In the limit of a large number of colors, N_c, we suggest that gauge theories can exhibit several distinct phases at nonzero temperature and quark density. Two are familiar: a cold, dilute phase of confined hadrons, where the pressure is ~ 1, and a hot phase of deconfined quarks and gluons, with pressure ~ N_c^2. When the quark chemical potential mu ~ 1, the deconfining transition temperature, T_d, is independent of mu. For T < T_d, as mu increases above the mass threshold, baryons quickly form a dense phase where the pressure is ~ N_c. As illustrated by a Skyrme crystal, chiral symmetry can b"},"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":"0706.2191","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-06-14T20:22:50Z","cross_cats_sorted":[],"title_canon_sha256":"3ce044fed833965e787ba778778afb498c5b9a3671e5d6f240a00391acc33b55","abstract_canon_sha256":"666b27d2f0f7bcf09d56bd29e2792c6d1cfdfe33ddb28b30b475609fdfa3386e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:24:57.505724Z","signature_b64":"7MNQa71w76V887Ee8zcbSG5UD6bHtdANVwdQfpuK46je2PyWG6weRT3g0Ze1ilRIECRH6sRvAS+AWpcr5UrQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa350437d5150466d487f81f423302743e3ad13959ddc2dbf6e1ad3ea3dfc4ae","last_reissued_at":"2026-07-04T17:24:57.505276Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:24:57.505276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phases of Dense Quarks at Large N_c","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Larry McLerran, Robert D. Pisarski","submitted_at":"2007-06-14T20:22:50Z","abstract_excerpt":"In the limit of a large number of colors, N_c, we suggest that gauge theories can exhibit several distinct phases at nonzero temperature and quark density. Two are familiar: a cold, dilute phase of confined hadrons, where the pressure is ~ 1, and a hot phase of deconfined quarks and gluons, with pressure ~ N_c^2. When the quark chemical potential mu ~ 1, the deconfining transition temperature, T_d, is independent of mu. For T < T_d, as mu increases above the mass threshold, baryons quickly form a dense phase where the pressure is ~ N_c. As illustrated by a Skyrme crystal, chiral symmetry can b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2191","kind":"arxiv","version":3},"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/0706.2191/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":"0706.2191","created_at":"2026-07-04T17:24:57.505342+00:00"},{"alias_kind":"arxiv_version","alias_value":"0706.2191v3","created_at":"2026-07-04T17:24:57.505342+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2191","created_at":"2026-07-04T17:24:57.505342+00:00"},{"alias_kind":"pith_short_12","alias_value":"VI2QIN6VCUCG","created_at":"2026-07-04T17:24:57.505342+00:00"},{"alias_kind":"pith_short_16","alias_value":"VI2QIN6VCUCGNVEH","created_at":"2026-07-04T17:24:57.505342+00:00"},{"alias_kind":"pith_short_8","alias_value":"VI2QIN6V","created_at":"2026-07-04T17:24:57.505342+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":14,"internal_anchor_count":10,"sample":[{"citing_arxiv_id":"2607.07140","citing_title":"Hadronic and partonic composition of QCD matter across the crossover","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2606.07955","citing_title":"Spin-charge deconfinement and emergent $\\mathrm{AdS}_3$ structure from a self-consistent dressing of Fierz-complete $(1+1)$d Dirac fermions","ref_index":25,"is_internal_anchor":true},{"citing_arxiv_id":"2606.04556","citing_title":"Minimal superfluid vortices in chiral perturbation theory","ref_index":9,"is_internal_anchor":true},{"citing_arxiv_id":"2606.00943","citing_title":"A quarkyonic matter model","ref_index":1,"is_internal_anchor":true},{"citing_arxiv_id":"1907.04654","citing_title":"Phase transitions in neutron stars and their links to gravitational waves","ref_index":38,"is_internal_anchor":true},{"citing_arxiv_id":"1907.06597","citing_title":"Hot quark matter and (proto-) neutron stars","ref_index":72,"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":5,"is_internal_anchor":true},{"citing_arxiv_id":"2602.14113","citing_title":"Quarkyonic matter and hadron-quark crossover from an ultracold atom perspective","ref_index":11,"is_internal_anchor":true},{"citing_arxiv_id":"2605.17183","citing_title":"Dense $\\mathrm{QC_2D_2}$ with uniform matrix product states","ref_index":6,"is_internal_anchor":true},{"citing_arxiv_id":"2512.18830","citing_title":"Emergent chiral spin symmetry, non-perturbative dynamics and thermoparticles in hot QCD","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2604.03849","citing_title":"Two Lectures on the Phase Diagram of QCD","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22382","citing_title":"QCD vacuum pressure and its influence on the equation of state of non-strange quark stars","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04743","citing_title":"Chiral Magnetic Effect and Negative Magnetoresistance across the phase diagram of finite-density SU(2) gauge theory","ref_index":34,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06054","citing_title":"Quarkyonic Meson Matter for Finite Isospin Density","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ","json":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ.json","graph_json":"https://pith.science/api/pith-number/VI2QIN6VCUCGNVEH7APUEMYCOQ/graph.json","events_json":"https://pith.science/api/pith-number/VI2QIN6VCUCGNVEH7APUEMYCOQ/events.json","paper":"https://pith.science/paper/VI2QIN6V"},"agent_actions":{"view_html":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ","download_json":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ.json","view_paper":"https://pith.science/paper/VI2QIN6V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0706.2191&json=true","fetch_graph":"https://pith.science/api/pith-number/VI2QIN6VCUCGNVEH7APUEMYCOQ/graph.json","fetch_events":"https://pith.science/api/pith-number/VI2QIN6VCUCGNVEH7APUEMYCOQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ/action/storage_attestation","attest_author":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ/action/author_attestation","sign_citation":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ/action/citation_signature","submit_replication":"https://pith.science/pith/VI2QIN6VCUCGNVEH7APUEMYCOQ/action/replication_record"}},"created_at":"2026-07-04T17:24:57.505342+00:00","updated_at":"2026-07-04T17:24:57.505342+00:00"}