{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:DKRUCBON6GMRJVRZXKIL6JKO5Q","short_pith_number":"pith:DKRUCBON","canonical_record":{"source":{"id":"hep-ph/0210163","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-10-10T18:14:13Z","cross_cats_sorted":[],"title_canon_sha256":"aecfeafa9deee81911e922ce3148680d991d92a3265dc2a555655aa6e105be8d","abstract_canon_sha256":"2bb869782c4a36245acd17e7ad66859144c9fc8b61c5f9a2a37c69c4c8bfb815"},"schema_version":"1.0"},"canonical_sha256":"1aa34105cdf19914d639ba90bf254eec0dad497adf016d91c6286329aa058872","source":{"kind":"arxiv","id":"hep-ph/0210163","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0210163","created_at":"2026-07-04T16:34:22Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0210163v2","created_at":"2026-07-04T16:34:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0210163","created_at":"2026-07-04T16:34:22Z"},{"alias_kind":"pith_short_12","alias_value":"DKRUCBON6GMR","created_at":"2026-07-04T16:34:22Z"},{"alias_kind":"pith_short_16","alias_value":"DKRUCBON6GMRJVRZ","created_at":"2026-07-04T16:34:22Z"},{"alias_kind":"pith_short_8","alias_value":"DKRUCBON","created_at":"2026-07-04T16:34:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:DKRUCBON6GMRJVRZXKIL6JKO5Q","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0210163","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2002-10-10T18:14:13Z","cross_cats_sorted":[],"title_canon_sha256":"aecfeafa9deee81911e922ce3148680d991d92a3265dc2a555655aa6e105be8d","abstract_canon_sha256":"2bb869782c4a36245acd17e7ad66859144c9fc8b61c5f9a2a37c69c4c8bfb815"},"schema_version":"1.0"},"canonical_sha256":"1aa34105cdf19914d639ba90bf254eec0dad497adf016d91c6286329aa058872","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:34:22.994035Z","signature_b64":"V7Y62sGLEHj3GlJ/O5lfn1vqnmsabqqkAvzpo9WUMxUKy89sLD5V+q/BlWAOHJnZ/mYC/KoY8BpMk7qGcP32BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1aa34105cdf19914d639ba90bf254eec0dad497adf016d91c6286329aa058872","last_reissued_at":"2026-07-04T16:34:22.993645Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:34:22.993645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0210163","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:34:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LEopQqwgZfgrbfoF3ShZlWmm8tKcBaV840NA7gMSEs8CQlLEI6kb3r5YsbuitN9QJdFICjRFUpwOQh7RPz7xAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:24:56.453536Z"},"content_sha256":"3ca86089492fdec3e0c4e98f1daaac08229bd8265774c3f4432701b61d4ab629","schema_version":"1.0","event_id":"sha256:3ca86089492fdec3e0c4e98f1daaac08229bd8265774c3f4432701b61d4ab629"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:DKRUCBON6GMRJVRZXKIL6JKO5Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization Group Summation and the Free Energy of Hot QCD","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Rebhan, D. G. C. McKeon","submitted_at":"2002-10-10T18:14:13Z","abstract_excerpt":"Using an approach developed in the context of zero-temperature QCD to systematically sum higher order effects whose form is fixed by the renormalization group equation, we sum to all orders the leading log (LL) and next-to-leading log (NLL) contributions to the thermodynamic free energy in hot QCD. While the result varies considerably less with changes in the renormalization scale than does the purely perturbative result, a novel ambiguity arises which reflects the strong scheme dependence of thermal perturbation theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0210163","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0210163/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:34:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k2rtyMdPS+WTd+lYvYVWYO66mDFri/QhHd19e4nXNs61EJwM9z740GsGeNl/+jbeM70yE260o1kd2a1M2BvKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:24:56.454037Z"},"content_sha256":"08de32ee2e1f7508972e0226fbf49c582cec63734febfdf53f36c0aa90f9bdd5","schema_version":"1.0","event_id":"sha256:08de32ee2e1f7508972e0226fbf49c582cec63734febfdf53f36c0aa90f9bdd5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DKRUCBON6GMRJVRZXKIL6JKO5Q/bundle.json","state_url":"https://pith.science/pith/DKRUCBON6GMRJVRZXKIL6JKO5Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DKRUCBON6GMRJVRZXKIL6JKO5Q/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":"2026-08-12T12:24:56Z","links":{"resolver":"https://pith.science/pith/DKRUCBON6GMRJVRZXKIL6JKO5Q","bundle":"https://pith.science/pith/DKRUCBON6GMRJVRZXKIL6JKO5Q/bundle.json","state":"https://pith.science/pith/DKRUCBON6GMRJVRZXKIL6JKO5Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DKRUCBON6GMRJVRZXKIL6JKO5Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:DKRUCBON6GMRJVRZXKIL6JKO5Q","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":"2bb869782c4a36245acd17e7ad66859144c9fc8b61c5f9a2a37c69c4c8bfb815","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-10-10T18:14:13Z","title_canon_sha256":"aecfeafa9deee81911e922ce3148680d991d92a3265dc2a555655aa6e105be8d"},"schema_version":"1.0","source":{"id":"hep-ph/0210163","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0210163","created_at":"2026-07-04T16:34:22Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0210163v2","created_at":"2026-07-04T16:34:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0210163","created_at":"2026-07-04T16:34:22Z"},{"alias_kind":"pith_short_12","alias_value":"DKRUCBON6GMR","created_at":"2026-07-04T16:34:22Z"},{"alias_kind":"pith_short_16","alias_value":"DKRUCBON6GMRJVRZ","created_at":"2026-07-04T16:34:22Z"},{"alias_kind":"pith_short_8","alias_value":"DKRUCBON","created_at":"2026-07-04T16:34:22Z"}],"graph_snapshots":[{"event_id":"sha256:08de32ee2e1f7508972e0226fbf49c582cec63734febfdf53f36c0aa90f9bdd5","target":"graph","created_at":"2026-07-04T16:34:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/0210163/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using an approach developed in the context of zero-temperature QCD to systematically sum higher order effects whose form is fixed by the renormalization group equation, we sum to all orders the leading log (LL) and next-to-leading log (NLL) contributions to the thermodynamic free energy in hot QCD. While the result varies considerably less with changes in the renormalization scale than does the purely perturbative result, a novel ambiguity arises which reflects the strong scheme dependence of thermal perturbation theory.","authors_text":"A. Rebhan, D. G. C. McKeon","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-10-10T18:14:13Z","title":"Renormalization Group Summation and the Free Energy of Hot QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0210163","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":"sha256:3ca86089492fdec3e0c4e98f1daaac08229bd8265774c3f4432701b61d4ab629","target":"record","created_at":"2026-07-04T16:34:22Z","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":"2bb869782c4a36245acd17e7ad66859144c9fc8b61c5f9a2a37c69c4c8bfb815","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-10-10T18:14:13Z","title_canon_sha256":"aecfeafa9deee81911e922ce3148680d991d92a3265dc2a555655aa6e105be8d"},"schema_version":"1.0","source":{"id":"hep-ph/0210163","kind":"arxiv","version":2}},"canonical_sha256":"1aa34105cdf19914d639ba90bf254eec0dad497adf016d91c6286329aa058872","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aa34105cdf19914d639ba90bf254eec0dad497adf016d91c6286329aa058872","first_computed_at":"2026-07-04T16:34:22.993645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:34:22.993645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V7Y62sGLEHj3GlJ/O5lfn1vqnmsabqqkAvzpo9WUMxUKy89sLD5V+q/BlWAOHJnZ/mYC/KoY8BpMk7qGcP32BA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:34:22.994035Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0210163","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ca86089492fdec3e0c4e98f1daaac08229bd8265774c3f4432701b61d4ab629","sha256:08de32ee2e1f7508972e0226fbf49c582cec63734febfdf53f36c0aa90f9bdd5"],"state_sha256":"4663b3a35c10fb0a0f5d537de2ca26771afa9b32c334259f2e0920491e8041b0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iv/hd9kl4wDKs4Qr/pza3bVdgCz3k3E0+w+nMf7hd56+89Fvb7Lg8HH4wQKMO6un85mL4HPH9qBsx7f2HrAZBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T12:24:56.457735Z","bundle_sha256":"258b29f8521bf222648390504195ee30f903042fc9941bf6cad048ae89c720cd"}}