{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:3V23FM7CJCIMFRXIOJPUF755SP","short_pith_number":"pith:3V23FM7C","schema_version":"1.0","canonical_sha256":"dd75b2b3e24890c2c6e8725f42ffbd93c419c9a176602e04b581bdb25aee6214","source":{"kind":"arxiv","id":"hep-ph/9410360","version":1},"attestation_state":"computed","paper":{"title":"The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Chengxing Zhai, Peter Arnold","submitted_at":"1994-10-24T19:30:20Z","abstract_excerpt":"We compute the free energy density for gauge theories, with fermions, at high temperature and zero chemical potential. Specifically, we analytically compute the free energy through $O(g^4)$, which requires the evaluation of three-loop diagrams. This computation extends our previous result for pure gauge QCD."},"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-ph/9410360","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1994-10-24T19:30:20Z","cross_cats_sorted":[],"title_canon_sha256":"651fad45f385cbfc7fea2da1021b9806d89e9536adc7a2c92013d92ef3f2f578","abstract_canon_sha256":"566e5f0ef07723f7f2aaede44964811f515b104639cbaa1203e685cc9eacbcb0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:35.415198Z","signature_b64":"kW7tLnoCZRV2QQHRWFrw3XRAzBFMFRMkI6lZJBjn7qH7/U9xcB2GYLny+hk3qXg8uFYyPR45Wdsrtto490BMAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd75b2b3e24890c2c6e8725f42ffbd93c419c9a176602e04b581bdb25aee6214","last_reissued_at":"2026-05-18T01:06:35.414569Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:35.414569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Chengxing Zhai, Peter Arnold","submitted_at":"1994-10-24T19:30:20Z","abstract_excerpt":"We compute the free energy density for gauge theories, with fermions, at high temperature and zero chemical potential. Specifically, we analytically compute the free energy through $O(g^4)$, which requires the evaluation of three-loop diagrams. This computation extends our previous result for pure gauge QCD."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9410360","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-ph/9410360","created_at":"2026-05-18T01:06:35.414669+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9410360v1","created_at":"2026-05-18T01:06:35.414669+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9410360","created_at":"2026-05-18T01:06:35.414669+00:00"},{"alias_kind":"pith_short_12","alias_value":"3V23FM7CJCIM","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"3V23FM7CJCIMFRXI","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"3V23FM7C","created_at":"2026-05-18T12:25:47.102015+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.06775","citing_title":"SIRENA -- Sum-Integral REductioN Algorithm","ref_index":66,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3V23FM7CJCIMFRXIOJPUF755SP","json":"https://pith.science/pith/3V23FM7CJCIMFRXIOJPUF755SP.json","graph_json":"https://pith.science/api/pith-number/3V23FM7CJCIMFRXIOJPUF755SP/graph.json","events_json":"https://pith.science/api/pith-number/3V23FM7CJCIMFRXIOJPUF755SP/events.json","paper":"https://pith.science/paper/3V23FM7C"},"agent_actions":{"view_html":"https://pith.science/pith/3V23FM7CJCIMFRXIOJPUF755SP","download_json":"https://pith.science/pith/3V23FM7CJCIMFRXIOJPUF755SP.json","view_paper":"https://pith.science/paper/3V23FM7C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9410360&json=true","fetch_graph":"https://pith.science/api/pith-number/3V23FM7CJCIMFRXIOJPUF755SP/graph.json","fetch_events":"https://pith.science/api/pith-number/3V23FM7CJCIMFRXIOJPUF755SP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3V23FM7CJCIMFRXIOJPUF755SP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3V23FM7CJCIMFRXIOJPUF755SP/action/storage_attestation","attest_author":"https://pith.science/pith/3V23FM7CJCIMFRXIOJPUF755SP/action/author_attestation","sign_citation":"https://pith.science/pith/3V23FM7CJCIMFRXIOJPUF755SP/action/citation_signature","submit_replication":"https://pith.science/pith/3V23FM7CJCIMFRXIOJPUF755SP/action/replication_record"}},"created_at":"2026-05-18T01:06:35.414669+00:00","updated_at":"2026-05-18T01:06:35.414669+00:00"}