{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:D4ULILOK5EMPM452YJ2QFKW4YJ","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":"52b6d223c66be9d453138d8d1bfb3e8f60fdee139eff64bd2006cb99a850bfa6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-07-04T14:54:42Z","title_canon_sha256":"06cbb0636062a92f80e1fa900ba798f252f10434927582f7b9c529dd6b321cc3"},"schema_version":"1.0","source":{"id":"hep-th/0507033","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0507033","created_at":"2026-07-04T14:50:33Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0507033v2","created_at":"2026-07-04T14:50:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0507033","created_at":"2026-07-04T14:50:33Z"},{"alias_kind":"pith_short_12","alias_value":"D4ULILOK5EMP","created_at":"2026-07-04T14:50:33Z"},{"alias_kind":"pith_short_16","alias_value":"D4ULILOK5EMPM452","created_at":"2026-07-04T14:50:33Z"},{"alias_kind":"pith_short_8","alias_value":"D4ULILOK","created_at":"2026-07-04T14:50:33Z"}],"graph_snapshots":[{"event_id":"sha256:d8e954393ccc8da155d8bef3618bf850376b0f671f7b06c43753667c40870d2d","target":"graph","created_at":"2026-07-04T14:50:33Z","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-th/0507033/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its deconfining (electric) phase. Emphasis is put on an explanation of the concepts involved. The presentation of technical details is avoided.","authors_text":"Ralf Hofmann","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-07-04T14:54:42Z","title":"Yang-Mills thermodynamics: The deconfining phase"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0507033","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:fa0fe47013dac307d66b4107093676caba13bce64f437a00426965d7eba9e757","target":"record","created_at":"2026-07-04T14:50:33Z","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":"52b6d223c66be9d453138d8d1bfb3e8f60fdee139eff64bd2006cb99a850bfa6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-07-04T14:54:42Z","title_canon_sha256":"06cbb0636062a92f80e1fa900ba798f252f10434927582f7b9c529dd6b321cc3"},"schema_version":"1.0","source":{"id":"hep-th/0507033","kind":"arxiv","version":2}},"canonical_sha256":"1f28b42dcae918f673bac27502aadcc25d7ccb446348fff63a859bfbc918ce04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f28b42dcae918f673bac27502aadcc25d7ccb446348fff63a859bfbc918ce04","first_computed_at":"2026-07-04T14:50:33.101464Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:50:33.101464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zCFK2ifyGOuwSQlSY54FLTdHNfWrF1C7KonkQwhlksjUp5fyYTWAZNrO8OQzPPQDw6Eqg790OVquHIoEnyXGCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:50:33.101802Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0507033","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa0fe47013dac307d66b4107093676caba13bce64f437a00426965d7eba9e757","sha256:d8e954393ccc8da155d8bef3618bf850376b0f671f7b06c43753667c40870d2d"],"state_sha256":"ad0610543cc8769c48cb3435e5173673a930506bfcb014752e8128859bcad2e5"}