{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:CKYW3YKKENBV3SWIXOH5T35KZB","short_pith_number":"pith:CKYW3YKK","schema_version":"1.0","canonical_sha256":"12b16de14a23435dcac8bb8fd9efaac86a4dd83dec074247b5c5d74a64f9b252","source":{"kind":"arxiv","id":"0910.3860","version":1},"attestation_state":"computed","paper":{"title":"QED Thermodynamics at Intermediate Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jens O. Andersen, Michael Strickland, Nan Su","submitted_at":"2009-10-20T14:52:57Z","abstract_excerpt":"We discuss reorganizing finite temperature perturbation theory using hard-thermal-loop (HTL) perturbation theory in order to improve the convergence of successive perturbative approximations to the free energy of a gauge theory. We briefly review the history of the technique and present new results for the three-loop HTL-improved approximation for the free energy of QED. We show that the hard-thermal-loop perturbation reorganization improves the convergence of the successive approximations to the QED free energy at intermediate coupling, e ~ 2. The reorganization is gauge invariant by construc"},"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":"0910.3860","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-10-20T14:52:57Z","cross_cats_sorted":[],"title_canon_sha256":"c9defc3098989bd60b7a4f8eb30acdb5c8b55f89c9918271f29d02fcc1928b86","abstract_canon_sha256":"bbd27b0d4e5c0ab00bec121aa90db3ff2165ef67b1fe26487ee3c5b6cc0384c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:14.356695Z","signature_b64":"oA2Nz8A/vK6GXcpOOW2fPf/U62pSfWXayRX0hp2m7r0SRtDVUs//j+UcKQvcrq7ePVTM07RcyryXu/apdnnuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12b16de14a23435dcac8bb8fd9efaac86a4dd83dec074247b5c5d74a64f9b252","last_reissued_at":"2026-05-18T04:38:14.356213Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:14.356213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"QED Thermodynamics at Intermediate Coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jens O. Andersen, Michael Strickland, Nan Su","submitted_at":"2009-10-20T14:52:57Z","abstract_excerpt":"We discuss reorganizing finite temperature perturbation theory using hard-thermal-loop (HTL) perturbation theory in order to improve the convergence of successive perturbative approximations to the free energy of a gauge theory. We briefly review the history of the technique and present new results for the three-loop HTL-improved approximation for the free energy of QED. We show that the hard-thermal-loop perturbation reorganization improves the convergence of the successive approximations to the QED free energy at intermediate coupling, e ~ 2. The reorganization is gauge invariant by construc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.3860","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":"0910.3860","created_at":"2026-05-18T04:38:14.356276+00:00"},{"alias_kind":"arxiv_version","alias_value":"0910.3860v1","created_at":"2026-05-18T04:38:14.356276+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.3860","created_at":"2026-05-18T04:38:14.356276+00:00"},{"alias_kind":"pith_short_12","alias_value":"CKYW3YKKENBV","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"CKYW3YKKENBV3SWI","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"CKYW3YKK","created_at":"2026-05-18T12:25:59.703012+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CKYW3YKKENBV3SWIXOH5T35KZB","json":"https://pith.science/pith/CKYW3YKKENBV3SWIXOH5T35KZB.json","graph_json":"https://pith.science/api/pith-number/CKYW3YKKENBV3SWIXOH5T35KZB/graph.json","events_json":"https://pith.science/api/pith-number/CKYW3YKKENBV3SWIXOH5T35KZB/events.json","paper":"https://pith.science/paper/CKYW3YKK"},"agent_actions":{"view_html":"https://pith.science/pith/CKYW3YKKENBV3SWIXOH5T35KZB","download_json":"https://pith.science/pith/CKYW3YKKENBV3SWIXOH5T35KZB.json","view_paper":"https://pith.science/paper/CKYW3YKK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0910.3860&json=true","fetch_graph":"https://pith.science/api/pith-number/CKYW3YKKENBV3SWIXOH5T35KZB/graph.json","fetch_events":"https://pith.science/api/pith-number/CKYW3YKKENBV3SWIXOH5T35KZB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CKYW3YKKENBV3SWIXOH5T35KZB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CKYW3YKKENBV3SWIXOH5T35KZB/action/storage_attestation","attest_author":"https://pith.science/pith/CKYW3YKKENBV3SWIXOH5T35KZB/action/author_attestation","sign_citation":"https://pith.science/pith/CKYW3YKKENBV3SWIXOH5T35KZB/action/citation_signature","submit_replication":"https://pith.science/pith/CKYW3YKKENBV3SWIXOH5T35KZB/action/replication_record"}},"created_at":"2026-05-18T04:38:14.356276+00:00","updated_at":"2026-05-18T04:38:14.356276+00:00"}