{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:ORUNBKJDTP5BZ7HEORVLMWTW4Q","short_pith_number":"pith:ORUNBKJD","schema_version":"1.0","canonical_sha256":"7468d0a9239bfa1cfce4746ab65a76e41b871896c4eb9eb22a4d3793e57b6818","source":{"kind":"arxiv","id":"1906.08047","version":2},"attestation_state":"computed","paper":{"title":"Possible New Phase of Thermal QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nucl-th"],"primary_cat":"hep-lat","authors_text":"Andrei Alexandru, Ivan Horv\\'ath","submitted_at":"2019-06-17T17:31:12Z","abstract_excerpt":"Using lattice simulations, we show that there is a phase of thermal QCD, where the spectral density $\\rho(\\lambda)$ of Dirac operator changes as $1/\\lambda$ for the infrared eigenvalues $\\lambda<T$. This behavior persists over the entire low energy band we can resolve accurately, over three orders of magnitude on our largest volumes. We propose that in this \"IR phase\", the well-known non-interacting scale invariance at very short distances (UV, $\\lambda \\rightarrow \\infty$, asymptotic freedom), coexists with very different interacting type of scale invariance at long distances (IR, $\\lambda<T$"},"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":"1906.08047","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2019-06-17T17:31:12Z","cross_cats_sorted":["hep-th","nucl-th"],"title_canon_sha256":"ffb1819160999da86ecfb6988dc6e239223348316ca75ed8cd799cfaeb08e212","abstract_canon_sha256":"02c980342ce2bb3961b4c5a937da7bea04ef4942e83cbeb83e3901a96cc4923c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:21:59.629018Z","signature_b64":"WKFud6uOe5YAwA9KsME0pjo5RGwfBw007W14MrI6yK5C+2ihilk6v6xZEGHjxLop44em8MCJjEBoPj2qKTXVCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7468d0a9239bfa1cfce4746ab65a76e41b871896c4eb9eb22a4d3793e57b6818","last_reissued_at":"2026-07-05T00:21:59.628515Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:21:59.628515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Possible New Phase of Thermal QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nucl-th"],"primary_cat":"hep-lat","authors_text":"Andrei Alexandru, Ivan Horv\\'ath","submitted_at":"2019-06-17T17:31:12Z","abstract_excerpt":"Using lattice simulations, we show that there is a phase of thermal QCD, where the spectral density $\\rho(\\lambda)$ of Dirac operator changes as $1/\\lambda$ for the infrared eigenvalues $\\lambda<T$. This behavior persists over the entire low energy band we can resolve accurately, over three orders of magnitude on our largest volumes. We propose that in this \"IR phase\", the well-known non-interacting scale invariance at very short distances (UV, $\\lambda \\rightarrow \\infty$, asymptotic freedom), coexists with very different interacting type of scale invariance at long distances (IR, $\\lambda<T$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.08047","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/1906.08047/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":"1906.08047","created_at":"2026-07-05T00:21:59.628578+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.08047v2","created_at":"2026-07-05T00:21:59.628578+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.08047","created_at":"2026-07-05T00:21:59.628578+00:00"},{"alias_kind":"pith_short_12","alias_value":"ORUNBKJDTP5B","created_at":"2026-07-05T00:21:59.628578+00:00"},{"alias_kind":"pith_short_16","alias_value":"ORUNBKJDTP5BZ7HE","created_at":"2026-07-05T00:21:59.628578+00:00"},{"alias_kind":"pith_short_8","alias_value":"ORUNBKJD","created_at":"2026-07-05T00:21:59.628578+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"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":61,"is_internal_anchor":false},{"citing_arxiv_id":"2605.14554","citing_title":"Glue Condensate, Quark Condensate and Dirac Spectral Density","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2604.11916","citing_title":"On the effective restoration of $U(1)_A$ symmetry at finite temperature","ref_index":60,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ORUNBKJDTP5BZ7HEORVLMWTW4Q","json":"https://pith.science/pith/ORUNBKJDTP5BZ7HEORVLMWTW4Q.json","graph_json":"https://pith.science/api/pith-number/ORUNBKJDTP5BZ7HEORVLMWTW4Q/graph.json","events_json":"https://pith.science/api/pith-number/ORUNBKJDTP5BZ7HEORVLMWTW4Q/events.json","paper":"https://pith.science/paper/ORUNBKJD"},"agent_actions":{"view_html":"https://pith.science/pith/ORUNBKJDTP5BZ7HEORVLMWTW4Q","download_json":"https://pith.science/pith/ORUNBKJDTP5BZ7HEORVLMWTW4Q.json","view_paper":"https://pith.science/paper/ORUNBKJD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.08047&json=true","fetch_graph":"https://pith.science/api/pith-number/ORUNBKJDTP5BZ7HEORVLMWTW4Q/graph.json","fetch_events":"https://pith.science/api/pith-number/ORUNBKJDTP5BZ7HEORVLMWTW4Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ORUNBKJDTP5BZ7HEORVLMWTW4Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ORUNBKJDTP5BZ7HEORVLMWTW4Q/action/storage_attestation","attest_author":"https://pith.science/pith/ORUNBKJDTP5BZ7HEORVLMWTW4Q/action/author_attestation","sign_citation":"https://pith.science/pith/ORUNBKJDTP5BZ7HEORVLMWTW4Q/action/citation_signature","submit_replication":"https://pith.science/pith/ORUNBKJDTP5BZ7HEORVLMWTW4Q/action/replication_record"}},"created_at":"2026-07-05T00:21:59.628578+00:00","updated_at":"2026-07-05T00:21:59.628578+00:00"}