{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZRDYEQRAIIH2X75Y373JEAD44B","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":"bbac072f3b90d3bdd600edd5f3a357de2f0fae641e36cce233887220c72fb8d9","cross_cats_sorted":["hep-th","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-07-07T19:02:54Z","title_canon_sha256":"a234e05b98fbf778a6b8cb52ed370c0894a5a39f892db01d4138cc384f96858d"},"schema_version":"1.0","source":{"id":"1007.1223","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.1223","created_at":"2026-05-18T04:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"1007.1223v1","created_at":"2026-05-18T04:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1223","created_at":"2026-05-18T04:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZRDYEQRAIIH2","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZRDYEQRAIIH2X75Y","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZRDYEQRA","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:9bd4a513da014868e0fe26740b0db2ba451aa3de047b73ca7e4f9597394cd473","target":"graph","created_at":"2026-05-18T04:33:39Z","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 try to give a comprehensive review of the main methods used in modern multi-loop calculations in finite-temperature field theory. While going through explicit examples, we point out similarities and differences with respect to the zero-temperature case, utilizing common techniques in a transparent way whenever possible.","authors_text":"Jan Moeller, York Schroder","cross_cats":["hep-th","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-07-07T19:02:54Z","title":"Open problems in hot QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1223","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:e2857b937e9178b0ab35b33beb1851219e91d2a0f982c1be8ee87bb46bd315dc","target":"record","created_at":"2026-05-18T04:33:39Z","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":"bbac072f3b90d3bdd600edd5f3a357de2f0fae641e36cce233887220c72fb8d9","cross_cats_sorted":["hep-th","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-07-07T19:02:54Z","title_canon_sha256":"a234e05b98fbf778a6b8cb52ed370c0894a5a39f892db01d4138cc384f96858d"},"schema_version":"1.0","source":{"id":"1007.1223","kind":"arxiv","version":1}},"canonical_sha256":"cc47824220420fabffb8dff692007ce0694a0caf1e009805ae1e441d7ff8b32c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc47824220420fabffb8dff692007ce0694a0caf1e009805ae1e441d7ff8b32c","first_computed_at":"2026-05-18T04:33:39.234585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:39.234585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WmtAnurZF5zE9JNmBYr1VuRoSsF2W2mA2tIIVlHErx6rrLmkqaxtiBSHBR80iv3Li1fXbG79jUZ44ahc0/KYBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:39.235153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.1223","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2857b937e9178b0ab35b33beb1851219e91d2a0f982c1be8ee87bb46bd315dc","sha256:9bd4a513da014868e0fe26740b0db2ba451aa3de047b73ca7e4f9597394cd473"],"state_sha256":"f981aa3d0bd37adf6801d7f4b7b9c2b6b12f054b64726b76a84214f8c7f2d75a"}