{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:TOZVR4DQEE6BRHMDDAMSF4FH3A","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":"9d433f9b51f6e10762760d1a0a443c4048079b6a5631e587cb9486bcd09d1398","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-09-30T03:22:59Z","title_canon_sha256":"ec88e9c649a9f9eb796560880122ab0d6d45163cb7c11daea816bb899a7289e2"},"schema_version":"1.0","source":{"id":"hep-ph/0509361","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0509361","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0509361v1","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0509361","created_at":"2026-05-18T01:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"TOZVR4DQEE6B","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"TOZVR4DQEE6BRHMD","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"TOZVR4DQ","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:b87af24e193265ff31ded9a042775f64ee26779a563fb719463004aa8b91a890","target":"graph","created_at":"2026-05-18T01:08:53Z","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":"We present results of a simulation of 2 flavour QCD on a $16^3\\times4$ lattice using p4-improved staggered fermions with bare quark mass $m/T=0.4$. Derivatives of the thermodynamic grand canonical partition function $Z(V,T,\\mu_u,\\mu_d)$ with respect to chemical potentials $\\mu_{u,d}$ for different quark flavours are calculated up to sixth order, enabling estimates of the pressure and the quark number density as well as the chiral condensate and various susceptibilities as functions of $\\mu_{u,d}$ via Taylor series expansion. Results are compared to high temperature perturbation theory as well ","authors_text":"C.R. Allton, E. Laermann, F. Karsch, K. Redlich, M. D\\\"oring, O. Kaczmarek, S. Ejiri, S.J. Hands","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2005-09-30T03:22:59Z","title":"The QCD equation of state for two flavours at non-zero chemical potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0509361","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:f3c265e15ab37a918523a4ea094a4abca2a860832ffafd153a6a5c22357ad0ba","target":"record","created_at":"2026-05-18T01:08:53Z","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":"9d433f9b51f6e10762760d1a0a443c4048079b6a5631e587cb9486bcd09d1398","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2005-09-30T03:22:59Z","title_canon_sha256":"ec88e9c649a9f9eb796560880122ab0d6d45163cb7c11daea816bb899a7289e2"},"schema_version":"1.0","source":{"id":"hep-ph/0509361","kind":"arxiv","version":1}},"canonical_sha256":"9bb358f070213c189d83181922f0a7d82345efdc76f82ef224c8f9e871a7e809","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bb358f070213c189d83181922f0a7d82345efdc76f82ef224c8f9e871a7e809","first_computed_at":"2026-05-18T01:08:53.629703Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:53.629703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wn1dtMYTz5iUBzt+hPb/mD8HqjgeLdWSvKD8CTlYmvth4gsl8TtbeNh7mG7K7koZXNZDx/U5cTTH1ep4L6zRBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:53.630243Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0509361","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3c265e15ab37a918523a4ea094a4abca2a860832ffafd153a6a5c22357ad0ba","sha256:b87af24e193265ff31ded9a042775f64ee26779a563fb719463004aa8b91a890"],"state_sha256":"9b5b10f35d7133ea2df93b40f1a89483c1c3d101ea0511261b6bce801de81692"}