{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:B2JENLHCHE4LKE2TAROROETUAM","short_pith_number":"pith:B2JENLHC","schema_version":"1.0","canonical_sha256":"0e9246ace23938b51353045d1712740317bee802adf6fdbee142ed2d36300c13","source":{"kind":"arxiv","id":"hep-ph/0006205","version":2},"attestation_state":"computed","paper":{"title":"Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Robert D. Pisarski","submitted_at":"2000-06-17T14:22:53Z","abstract_excerpt":"Effective theories for the thermal Wilson line are constructed in an SU(N) gauge theory at nonzero temperature. I propose that the order of the deconfining phase transition for Z(N) Wilson lines is governed by the behavior of SU(N) Wilson lines. In a mean field theory, the free energy in the deconfined phase is controlled by the condensate for Z(N) Wilson lines. Numerical simulations on the lattice, and the mean field theory for Z(3) Wilson lines, suggest that about any finite temperature transition in QCD, the dominant correlation length increases by a large, uniform factor, of order five."},"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":"hep-ph/0006205","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-06-17T14:22:53Z","cross_cats_sorted":[],"title_canon_sha256":"7c9d95deb0d2e98a72c61fda8f12d2844b2130fc6353d87d0202b7c890e6a2e7","abstract_canon_sha256":"cc4f84f8d63b401a5844374213c3c85fa5cdaf61c0ca96e10655a61f3f168e8d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:18:24.888932Z","signature_b64":"LOBw9Vu+zUMlClRki7ZSUXj6OTYZnetVx5Z4vjsG77aAXi81p6NTkLj0W5UumoMhUy3Zz+udZ69DV6qUCQTfAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e9246ace23938b51353045d1712740317bee802adf6fdbee142ed2d36300c13","last_reissued_at":"2026-07-04T17:18:24.888554Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:18:24.888554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Robert D. Pisarski","submitted_at":"2000-06-17T14:22:53Z","abstract_excerpt":"Effective theories for the thermal Wilson line are constructed in an SU(N) gauge theory at nonzero temperature. I propose that the order of the deconfining phase transition for Z(N) Wilson lines is governed by the behavior of SU(N) Wilson lines. In a mean field theory, the free energy in the deconfined phase is controlled by the condensate for Z(N) Wilson lines. Numerical simulations on the lattice, and the mean field theory for Z(3) Wilson lines, suggest that about any finite temperature transition in QCD, the dominant correlation length increases by a large, uniform factor, of order five."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0006205","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/hep-ph/0006205/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":"hep-ph/0006205","created_at":"2026-07-04T17:18:24.888610+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0006205v2","created_at":"2026-07-04T17:18:24.888610+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0006205","created_at":"2026-07-04T17:18:24.888610+00:00"},{"alias_kind":"pith_short_12","alias_value":"B2JENLHCHE4L","created_at":"2026-07-04T17:18:24.888610+00:00"},{"alias_kind":"pith_short_16","alias_value":"B2JENLHCHE4LKE2T","created_at":"2026-07-04T17:18:24.888610+00:00"},{"alias_kind":"pith_short_8","alias_value":"B2JENLHC","created_at":"2026-07-04T17:18:24.888610+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2607.06203","citing_title":"Polyakov Loops Tame Phase Transitions","ref_index":44,"is_internal_anchor":true},{"citing_arxiv_id":"2606.09633","citing_title":"Effective QCD model with consistent quasi-gluon treatment : formulation and application","ref_index":21,"is_internal_anchor":true},{"citing_arxiv_id":"2508.07919","citing_title":"Topological Strings in SU(3) Gauge Theory at Finite Temperature","ref_index":49,"is_internal_anchor":true},{"citing_arxiv_id":"2509.19009","citing_title":"Finite-temperature Yang-Mills theories with the density of states method: towards the continuum limit","ref_index":113,"is_internal_anchor":true},{"citing_arxiv_id":"2604.10889","citing_title":"Heavy-quark transport across the QCD crossover driven by a lattice-constrained in-medium potential","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2605.02878","citing_title":"Finite-temperature operator basis on $\\mathbb{R}^3 \\times S^1$ for SMEFT","ref_index":71,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B2JENLHCHE4LKE2TAROROETUAM","json":"https://pith.science/pith/B2JENLHCHE4LKE2TAROROETUAM.json","graph_json":"https://pith.science/api/pith-number/B2JENLHCHE4LKE2TAROROETUAM/graph.json","events_json":"https://pith.science/api/pith-number/B2JENLHCHE4LKE2TAROROETUAM/events.json","paper":"https://pith.science/paper/B2JENLHC"},"agent_actions":{"view_html":"https://pith.science/pith/B2JENLHCHE4LKE2TAROROETUAM","download_json":"https://pith.science/pith/B2JENLHCHE4LKE2TAROROETUAM.json","view_paper":"https://pith.science/paper/B2JENLHC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0006205&json=true","fetch_graph":"https://pith.science/api/pith-number/B2JENLHCHE4LKE2TAROROETUAM/graph.json","fetch_events":"https://pith.science/api/pith-number/B2JENLHCHE4LKE2TAROROETUAM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B2JENLHCHE4LKE2TAROROETUAM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B2JENLHCHE4LKE2TAROROETUAM/action/storage_attestation","attest_author":"https://pith.science/pith/B2JENLHCHE4LKE2TAROROETUAM/action/author_attestation","sign_citation":"https://pith.science/pith/B2JENLHCHE4LKE2TAROROETUAM/action/citation_signature","submit_replication":"https://pith.science/pith/B2JENLHCHE4LKE2TAROROETUAM/action/replication_record"}},"created_at":"2026-07-04T17:18:24.888610+00:00","updated_at":"2026-07-04T17:18:24.888610+00:00"}