{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5KNBL36FRBNCFODXMJKYBT47J6","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":"a55ffe639cc6063383a2b030036b9bdabd1766fc43b87fafcdda96264d219d78","cross_cats_sorted":["hep-lat","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-11T17:48:00Z","title_canon_sha256":"a18fac3fd60a9bb6d6bdcafdbe7f599f5f96398c354df2e611fa2e14846a84ed"},"schema_version":"1.0","source":{"id":"1311.2512","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2512","created_at":"2026-05-18T02:59:20Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2512v2","created_at":"2026-05-18T02:59:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2512","created_at":"2026-05-18T02:59:20Z"},{"alias_kind":"pith_short_12","alias_value":"5KNBL36FRBNC","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5KNBL36FRBNCFODX","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5KNBL36F","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:a44a3894f31c4dd479550ab84ebfa570114f491415a94fbc4eaca2be2496d442","target":"graph","created_at":"2026-05-18T02:59:20Z","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 a derivation of an exact high temperature expansion for a one-loop thermodynamic potential $\\Omega(\\tilde{\\mu})$ with complex chemical potential $\\tilde{\\mu}$. The result is given in terms of a single sum the coefficients of which are analytical functions of $\\tilde{\\mu}$ consisting of polynomials and polygamma functions, decoupled from the physical expansion parameter $\\beta m$. The analytic structure of the coefficients permits us to explicitly calculate the thermodynamic potential for the imaginary chemical potential and analytically continue the domain to the complex $\\tilde{\\mu","authors_text":"Bruno Klajn","cross_cats":["hep-lat","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-11T17:48:00Z","title":"Exact high temperature expansion of the one-loop thermodynamic potential with complex chemical potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2512","kind":"arxiv","version":2},"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:e92ae20da0acd2b9a958b5955d6f7ded4255c59015f54382fb9ec0b8690775e0","target":"record","created_at":"2026-05-18T02:59:20Z","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":"a55ffe639cc6063383a2b030036b9bdabd1766fc43b87fafcdda96264d219d78","cross_cats_sorted":["hep-lat","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-11T17:48:00Z","title_canon_sha256":"a18fac3fd60a9bb6d6bdcafdbe7f599f5f96398c354df2e611fa2e14846a84ed"},"schema_version":"1.0","source":{"id":"1311.2512","kind":"arxiv","version":2}},"canonical_sha256":"ea9a15efc5885a22b877625580cf9f4fbb8d7220c636f6dd20c47c3f78e05ad6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea9a15efc5885a22b877625580cf9f4fbb8d7220c636f6dd20c47c3f78e05ad6","first_computed_at":"2026-05-18T02:59:20.530227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:20.530227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BSA5d2j4dK8/2UmAYBrGh4Ia3s8osGKS4sxEcUAy58KpdfDNtbRxfSC+aXjfw0dhUOGt8JFCrylv7CDjK+eWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:20.531042Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.2512","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e92ae20da0acd2b9a958b5955d6f7ded4255c59015f54382fb9ec0b8690775e0","sha256:a44a3894f31c4dd479550ab84ebfa570114f491415a94fbc4eaca2be2496d442"],"state_sha256":"6d9f5be8d60c9ebe1cea34fe8280e04f24588b437c1a43535183fd524aad831d"}