{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:MGWWLJC7UKVDTMARTMOTIRNY5Q","short_pith_number":"pith:MGWWLJC7","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"},"canonical_sha256":"61ad65a45fa2aa39b0119b1d3445b8ec108601f16ee78a7f24d1741f76203345","source":{"kind":"arxiv","id":"hep-lat/0110122","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0110122","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0110122v1","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0110122","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"pith_short_12","alias_value":"MGWWLJC7UKVD","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"MGWWLJC7UKVDTMAR","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"MGWWLJC7","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:MGWWLJC7UKVDTMARTMOTIRNY5Q","target":"record","payload":{"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"},"canonical_sha256":"61ad65a45fa2aa39b0119b1d3445b8ec108601f16ee78a7f24d1741f76203345","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"},"source_kind":"arxiv","source_id":"hep-lat/0110122","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KvSHZesIb1JeWHHFEzkzOWLQoaqP6b+PzXlqjhReGerd3AkmlEUZwoZpF6ep5L1trw7XF0St53f+uxj86NwNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T13:28:27.954380Z"},"content_sha256":"c87cc28d02c675aceedabfcf64be638380ea28aadca5a18b1ea79cc05ca3b9d6","schema_version":"1.0","event_id":"sha256:c87cc28d02c675aceedabfcf64be638380ea28aadca5a18b1ea79cc05ca3b9d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:MGWWLJC7UKVDTMARTMOTIRNY5Q","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bG2rZ/uiii3yvbthlyKEJGmWHHsuJv8W1X2ETWVfuMc2k2FoPIL1CD0pp9doOI7wrrsfpPYn2r8mlljFE3h5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T13:28:27.955029Z"},"content_sha256":"769eeee072c3e1901681c92465bc158fe261d2326f3b7803568e3484f6f3a81a","schema_version":"1.0","event_id":"sha256:769eeee072c3e1901681c92465bc158fe261d2326f3b7803568e3484f6f3a81a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q/bundle.json","state_url":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-24T13:28:27Z","links":{"resolver":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q","bundle":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q/bundle.json","state":"https://pith.science/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MGWWLJC7UKVDTMARTMOTIRNY5Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:MGWWLJC7UKVDTMARTMOTIRNY5Q","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"64d4702f95ceb1ae4bc0127a7882f1c9fb522af23046853ec829c5e73fda4825","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2001-10-15T22:20:38Z","title_canon_sha256":"dfeaf782edb5397b7d7c44ac680519d7a9a75703d37a00efbecde9e7dfe17ba9"},"schema_version":"1.0","source":{"id":"hep-lat/0110122","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0110122","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0110122v1","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0110122","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"pith_short_12","alias_value":"MGWWLJC7UKVD","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"MGWWLJC7UKVDTMAR","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"MGWWLJC7","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:769eeee072c3e1901681c92465bc158fe261d2326f3b7803568e3484f6f3a81a","target":"graph","created_at":"2026-05-18T01:39:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"K. Kajantie (Univ. Helsinki), K. Rummukainen (NORDITA), M. Laine (CERN), Y. Schroder (Univ. Helsinki & MIT)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"2001-10-15T22:20:38Z","title":"Measuring infrared contributions to the QCD pressure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0110122","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c87cc28d02c675aceedabfcf64be638380ea28aadca5a18b1ea79cc05ca3b9d6","target":"record","created_at":"2026-05-18T01:39:14Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"64d4702f95ceb1ae4bc0127a7882f1c9fb522af23046853ec829c5e73fda4825","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2001-10-15T22:20:38Z","title_canon_sha256":"dfeaf782edb5397b7d7c44ac680519d7a9a75703d37a00efbecde9e7dfe17ba9"},"schema_version":"1.0","source":{"id":"hep-lat/0110122","kind":"arxiv","version":1}},"canonical_sha256":"61ad65a45fa2aa39b0119b1d3445b8ec108601f16ee78a7f24d1741f76203345","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61ad65a45fa2aa39b0119b1d3445b8ec108601f16ee78a7f24d1741f76203345","first_computed_at":"2026-05-18T01:39:14.786510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:14.786510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zWzlJVar0EZIemM5RVXDS2XhVNw/JuwounYTp1Ul/dRyXtFZpesUQL3G3va0vmXe6HTgcVn3c9Jk6p/4EDcIBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:14.787019Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/0110122","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c87cc28d02c675aceedabfcf64be638380ea28aadca5a18b1ea79cc05ca3b9d6","sha256:769eeee072c3e1901681c92465bc158fe261d2326f3b7803568e3484f6f3a81a"],"state_sha256":"ce9b12e5f8ae6593a007dad9d992f3a572c0ca9752fe6c08999e3978000d3182"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aIQXAAV5JujCC62U7kx8NDMBrDsnTrSsp1Y4BKIi3RckpYRXkMCmbunQ/wYLYMohS2nwrU0JBnzxuo3kZhNkDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T13:28:27.958690Z","bundle_sha256":"52b428a9e657c296e72d1cd59f4dab8538013ce2b08ba7c545fe32422fa045c6"}}