{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:MGWWLJC7UKVDTMARTMOTIRNY5Q","short_pith_number":"pith:MGWWLJC7","schema_version":"1.0","canonical_sha256":"61ad65a45fa2aa39b0119b1d3445b8ec108601f16ee78a7f24d1741f76203345","source":{"kind":"arxiv","id":"hep-lat/0110122","version":1},"attestation_state":"computed","paper":{"title":"Measuring infrared contributions to the QCD pressure","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"K. Kajantie (Univ. Helsinki), K. Rummukainen (NORDITA), M. Laine (CERN), Y. Schroder (Univ. Helsinki & MIT)","submitted_at":"2001-10-15T22:20:38Z","abstract_excerpt":"For the pressure (or free energy) of QCD, four-dimensional (4d) lattice data is available at zero baryon density up to a few times the critical temperature $T_c$. Perturbation theory, on the other hand, has serious convergence problems even at very high temperatures. In a combined analytical and three-dimensional (3d) lattice method, we show that it is possible to compute the QCD pressure from about $2 T_c$ to infinity. The numerical accuracy is good enough to resolve in principle, e.g., logarithmic contributions related to 4-loop perturbation theory."},"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-lat/0110122","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2001-10-15T22:20:38Z","cross_cats_sorted":[],"title_canon_sha256":"dfeaf782edb5397b7d7c44ac680519d7a9a75703d37a00efbecde9e7dfe17ba9","abstract_canon_sha256":"64d4702f95ceb1ae4bc0127a7882f1c9fb522af23046853ec829c5e73fda4825"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:14.787019Z","signature_b64":"zWzlJVar0EZIemM5RVXDS2XhVNw/JuwounYTp1Ul/dRyXtFZpesUQL3G3va0vmXe6HTgcVn3c9Jk6p/4EDcIBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61ad65a45fa2aa39b0119b1d3445b8ec108601f16ee78a7f24d1741f76203345","last_reissued_at":"2026-05-18T01:39:14.786510Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:14.786510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Measuring infrared contributions to the QCD pressure","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"K. Kajantie (Univ. Helsinki), K. Rummukainen (NORDITA), M. Laine (CERN), Y. Schroder (Univ. Helsinki & MIT)","submitted_at":"2001-10-15T22:20:38Z","abstract_excerpt":"For the pressure (or free energy) of QCD, four-dimensional (4d) lattice data is available at zero baryon density up to a few times the critical temperature $T_c$. Perturbation theory, on the other hand, has serious convergence problems even at very high temperatures. In a combined analytical and three-dimensional (3d) lattice method, we show that it is possible to compute the QCD pressure from about $2 T_c$ to infinity. The numerical accuracy is good enough to resolve in principle, e.g., logarithmic contributions related to 4-loop perturbation theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0110122","kind":"arxiv","version":1},"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":"hep-lat/0110122","created_at":"2026-05-18T01:39:14.786586+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0110122v1","created_at":"2026-05-18T01:39:14.786586+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0110122","created_at":"2026-05-18T01:39:14.786586+00:00"},{"alias_kind":"pith_short_12","alias_value":"MGWWLJC7UKVD","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"MGWWLJC7UKVDTMAR","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"MGWWLJC7","created_at":"2026-05-18T12:25:50.845339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q","json":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q.json","graph_json":"https://pith.science/api/pith-number/MGWWLJC7UKVDTMARTMOTIRNY5Q/graph.json","events_json":"https://pith.science/api/pith-number/MGWWLJC7UKVDTMARTMOTIRNY5Q/events.json","paper":"https://pith.science/paper/MGWWLJC7"},"agent_actions":{"view_html":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q","download_json":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q.json","view_paper":"https://pith.science/paper/MGWWLJC7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-lat/0110122&json=true","fetch_graph":"https://pith.science/api/pith-number/MGWWLJC7UKVDTMARTMOTIRNY5Q/graph.json","fetch_events":"https://pith.science/api/pith-number/MGWWLJC7UKVDTMARTMOTIRNY5Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q/action/storage_attestation","attest_author":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q/action/author_attestation","sign_citation":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q/action/citation_signature","submit_replication":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q/action/replication_record"}},"created_at":"2026-05-18T01:39:14.786586+00:00","updated_at":"2026-05-18T01:39:14.786586+00:00"}