{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7E6ICP4PKJNQXDQIPDWP5JJQPW","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":"4fe7688bc614795b95287a878e720516c3a3a7cb618fb206ee2d8b9bcd55e9a9","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-09-14T16:43:27Z","title_canon_sha256":"449b81eb774a7bad00b68a2651fea8b07c348c5b1e38980ce24faeb2b828328a"},"schema_version":"1.0","source":{"id":"1609.04339","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.04339","created_at":"2026-05-18T00:53:30Z"},{"alias_kind":"arxiv_version","alias_value":"1609.04339v2","created_at":"2026-05-18T00:53:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.04339","created_at":"2026-05-18T00:53:30Z"},{"alias_kind":"pith_short_12","alias_value":"7E6ICP4PKJNQ","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7E6ICP4PKJNQXDQI","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7E6ICP4P","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:7fee5a81fc7ba2a56080b1455c5c1523f8abb84acce72925634a0d5846a219c8","target":"graph","created_at":"2026-05-18T00:53:30Z","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 discuss the prospects of performing high-order perturbative calculations in systems characterized by a vanishing temperature but finite density. In particular, we show that the determination of generic Feynman integrals containing fermionic chemical potentials can be reduced to the evaluation of three-dimensional phase space integrals over vacuum on-shell amplitudes - a result reminiscent of a previously proposed \"naive real-time formalism\" for vacuum diagrams. Applications of these rules are discussed in the context of the thermodynamics of cold and dense QCD, where it is argued that they ","authors_text":"Aleksi Kurkela, Aleksi Vuorinen, Ioan Ghisoiu, Matias S\\\"appi, Paul Romatschke, Tyler Gorda","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-09-14T16:43:27Z","title":"On high-order perturbative calculations at finite density"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04339","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:aac0c1600e31d41d448e6bcbab3fb9d741918bdf0d50182eb7ffa5a6181f0ea3","target":"record","created_at":"2026-05-18T00:53:30Z","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":"4fe7688bc614795b95287a878e720516c3a3a7cb618fb206ee2d8b9bcd55e9a9","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-09-14T16:43:27Z","title_canon_sha256":"449b81eb774a7bad00b68a2651fea8b07c348c5b1e38980ce24faeb2b828328a"},"schema_version":"1.0","source":{"id":"1609.04339","kind":"arxiv","version":2}},"canonical_sha256":"f93c813f8f525b0b8e0878ecfea5307daa30bf5e54e7e13d701dde55ce7d238b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f93c813f8f525b0b8e0878ecfea5307daa30bf5e54e7e13d701dde55ce7d238b","first_computed_at":"2026-05-18T00:53:30.251406Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:30.251406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Erngr0tLcrbBjBW3o0uM0RQLUKvOj2Xn42N07e42kG3RxlC6HQNwmypnDugbdbzmNM9+XP4djpmcX7oLznYdDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:30.251744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.04339","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aac0c1600e31d41d448e6bcbab3fb9d741918bdf0d50182eb7ffa5a6181f0ea3","sha256:7fee5a81fc7ba2a56080b1455c5c1523f8abb84acce72925634a0d5846a219c8"],"state_sha256":"9e1435dcf4d74243e1f247dca7519f23a7807fc4d318e812b873b5723f7f3288"}