{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:UOFEEHTNVS3G3SOX77P4UAMPFR","short_pith_number":"pith:UOFEEHTN","canonical_record":{"source":{"id":"0911.4601","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-24T17:13:44Z","cross_cats_sorted":[],"title_canon_sha256":"76c6b4f7dfaac524fe52a2d6cd2e6fb79271b824dbb29d63f0712cfa5fac489f","abstract_canon_sha256":"e11b1db6b8d4105ba767f57892178e5d6281f159ec43a6b5323901ea96ec37de"},"schema_version":"1.0"},"canonical_sha256":"a38a421e6dacb66dc9d7ffdfca018f2c75f9c665fd6d580f8bdf0852de88f6bc","source":{"kind":"arxiv","id":"0911.4601","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.4601","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"arxiv_version","alias_value":"0911.4601v1","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.4601","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"pith_short_12","alias_value":"UOFEEHTNVS3G","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"UOFEEHTNVS3G3SOX","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"UOFEEHTN","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:UOFEEHTNVS3G3SOX77P4UAMPFR","target":"record","payload":{"canonical_record":{"source":{"id":"0911.4601","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-24T17:13:44Z","cross_cats_sorted":[],"title_canon_sha256":"76c6b4f7dfaac524fe52a2d6cd2e6fb79271b824dbb29d63f0712cfa5fac489f","abstract_canon_sha256":"e11b1db6b8d4105ba767f57892178e5d6281f159ec43a6b5323901ea96ec37de"},"schema_version":"1.0"},"canonical_sha256":"a38a421e6dacb66dc9d7ffdfca018f2c75f9c665fd6d580f8bdf0852de88f6bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:21.727909Z","signature_b64":"Iv8s5Ee0CY2zXgMbEBLpgFv80KDVse+gzmfA8sJeIoNow3nmh0Dux+izwPpDc6uavn0l84vDcTpQ1Q0bm8CSDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a38a421e6dacb66dc9d7ffdfca018f2c75f9c665fd6d580f8bdf0852de88f6bc","last_reissued_at":"2026-05-18T04:40:21.727297Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:21.727297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.4601","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ajbu58uDSBd69IJWIZg8OXRUnI8HJ1FiMxrswZf8D29U20sGrO2Q2QAeFuu5D8CY9aBY8j8sPbxNU5H73Op5CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:26:35.009383Z"},"content_sha256":"8a290ffefad5de0616026f1e8e5b8228a6d20de665f2204f44d79f379420b807","schema_version":"1.0","event_id":"sha256:8a290ffefad5de0616026f1e8e5b8228a6d20de665f2204f44d79f379420b807"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:UOFEEHTNVS3G3SOX77P4UAMPFR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hard-thermal-loop QED thermodynamics","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":"2009-11-24T17:13:44Z","abstract_excerpt":"The weak-coupling expansion for thermodynamic quantities in thermal field theories is poorly convergent unless the coupling constant is tiny. We discuss the calculation of the free energy for a hot gas of electrons and photons to three-loop order using hard-thermal-loop perturbation theory (HTLpt). We show that the hard-thermal-loop perturbation reorganization improves the convergence of the successive approximations to the QED free energy at large coupling, e ~ 2. The reorganization is gauge invariant by construction, and due to the cancellations among various contributions, we obtain a compl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.4601","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:40:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fFR3G+YRy+MHhIFwid/7nkyb2tWPJ2qq1IdXR1yNL9eDMvy8uqYs+vujDzG+hgEBX+6o/eYbdH3lWsZextMmCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:26:35.010110Z"},"content_sha256":"3562c1c42b9d6ef4ce1b579cab8cda1f0d33f6e200ab070eaf00e5ee955fd2ab","schema_version":"1.0","event_id":"sha256:3562c1c42b9d6ef4ce1b579cab8cda1f0d33f6e200ab070eaf00e5ee955fd2ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UOFEEHTNVS3G3SOX77P4UAMPFR/bundle.json","state_url":"https://pith.science/pith/UOFEEHTNVS3G3SOX77P4UAMPFR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UOFEEHTNVS3G3SOX77P4UAMPFR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-10T22:26:35Z","links":{"resolver":"https://pith.science/pith/UOFEEHTNVS3G3SOX77P4UAMPFR","bundle":"https://pith.science/pith/UOFEEHTNVS3G3SOX77P4UAMPFR/bundle.json","state":"https://pith.science/pith/UOFEEHTNVS3G3SOX77P4UAMPFR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UOFEEHTNVS3G3SOX77P4UAMPFR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:UOFEEHTNVS3G3SOX77P4UAMPFR","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":"e11b1db6b8d4105ba767f57892178e5d6281f159ec43a6b5323901ea96ec37de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-24T17:13:44Z","title_canon_sha256":"76c6b4f7dfaac524fe52a2d6cd2e6fb79271b824dbb29d63f0712cfa5fac489f"},"schema_version":"1.0","source":{"id":"0911.4601","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.4601","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"arxiv_version","alias_value":"0911.4601v1","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.4601","created_at":"2026-05-18T04:40:21Z"},{"alias_kind":"pith_short_12","alias_value":"UOFEEHTNVS3G","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"UOFEEHTNVS3G3SOX","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"UOFEEHTN","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:3562c1c42b9d6ef4ce1b579cab8cda1f0d33f6e200ab070eaf00e5ee955fd2ab","target":"graph","created_at":"2026-05-18T04:40:21Z","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":"The weak-coupling expansion for thermodynamic quantities in thermal field theories is poorly convergent unless the coupling constant is tiny. We discuss the calculation of the free energy for a hot gas of electrons and photons to three-loop order using hard-thermal-loop perturbation theory (HTLpt). We show that the hard-thermal-loop perturbation reorganization improves the convergence of the successive approximations to the QED free energy at large coupling, e ~ 2. The reorganization is gauge invariant by construction, and due to the cancellations among various contributions, we obtain a compl","authors_text":"Jens O. Andersen, Michael Strickland, Nan Su","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-24T17:13:44Z","title":"Hard-thermal-loop QED thermodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.4601","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":"sha256:8a290ffefad5de0616026f1e8e5b8228a6d20de665f2204f44d79f379420b807","target":"record","created_at":"2026-05-18T04:40:21Z","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":"e11b1db6b8d4105ba767f57892178e5d6281f159ec43a6b5323901ea96ec37de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-11-24T17:13:44Z","title_canon_sha256":"76c6b4f7dfaac524fe52a2d6cd2e6fb79271b824dbb29d63f0712cfa5fac489f"},"schema_version":"1.0","source":{"id":"0911.4601","kind":"arxiv","version":1}},"canonical_sha256":"a38a421e6dacb66dc9d7ffdfca018f2c75f9c665fd6d580f8bdf0852de88f6bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a38a421e6dacb66dc9d7ffdfca018f2c75f9c665fd6d580f8bdf0852de88f6bc","first_computed_at":"2026-05-18T04:40:21.727297Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:21.727297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Iv8s5Ee0CY2zXgMbEBLpgFv80KDVse+gzmfA8sJeIoNow3nmh0Dux+izwPpDc6uavn0l84vDcTpQ1Q0bm8CSDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:21.727909Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.4601","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a290ffefad5de0616026f1e8e5b8228a6d20de665f2204f44d79f379420b807","sha256:3562c1c42b9d6ef4ce1b579cab8cda1f0d33f6e200ab070eaf00e5ee955fd2ab"],"state_sha256":"4452b0bc9e010bebe53cf4fed668f3327a4ea6a6abec33b0ed4d0673d907154c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yrrCo6OLZsxk9u6FmFGGfIKYUFL/JbPmwKaWzatx3bpGa9hYFc+lkzkzBvTYbyTkS7gIzzJLXMRWzKulSN01CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T22:26:35.013804Z","bundle_sha256":"184113521b6c0ef4af2fc805e9ec485daf8b678fcfeb4554a8842b5961d555e0"}}