{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:OADGQCJ2X5GCESL2KKERKR7VCG","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":"5d6c5399ed55422099579143e92cc0602eefb20ce0d128c909a05acdd4dc3da9","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2009-07-09T19:59:41Z","title_canon_sha256":"15deb97a007bfe5779ec00e85946c5481dd67a8377c435df7fba5e0bd5d3c83b"},"schema_version":"1.0","source":{"id":"0907.1450","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.1450","created_at":"2026-05-18T02:24:55Z"},{"alias_kind":"arxiv_version","alias_value":"0907.1450v2","created_at":"2026-05-18T02:24:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.1450","created_at":"2026-05-18T02:24:55Z"},{"alias_kind":"pith_short_12","alias_value":"OADGQCJ2X5GC","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"OADGQCJ2X5GCESL2","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"OADGQCJ2","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:277bb1a9375f7968edd5b49f2470e8368f955e9810ef7af4c8e52285df27049d","target":"graph","created_at":"2026-05-18T02:24:55Z","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":"Based on the strong coupling expansion we obtain effective 3-dimensional models for the Polyakov loop in finite-temperature G_2 gluodynamics. The Svetitsky-Jaffe conjecture relates the resulting continuous spin models with G_2 gluodynamics near phase transition points. In the present work we analyse the effective theory in leading order with the help of a generalised mean field approximation and with detailed Monte-Carlo simulations. In addition we derive a Potts-type discrete spin model by restricting the characters of the Polyakov loops to the three extremal points of the fundamental domain ","authors_text":"Andreas Wipf, Bjoern H. Wellegehausen, Christian Wozar","cross_cats":["cond-mat.stat-mech","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2009-07-09T19:59:41Z","title":"Effective Polyakov Loop Dynamics for Finite Temperature G(2) Gluodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.1450","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":"sha256:9e36706a6f6e783ddfc307c36dad4f6c54df8983973d5dcd9010a2f8e4dc5635","target":"record","created_at":"2026-05-18T02:24:55Z","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":"5d6c5399ed55422099579143e92cc0602eefb20ce0d128c909a05acdd4dc3da9","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2009-07-09T19:59:41Z","title_canon_sha256":"15deb97a007bfe5779ec00e85946c5481dd67a8377c435df7fba5e0bd5d3c83b"},"schema_version":"1.0","source":{"id":"0907.1450","kind":"arxiv","version":2}},"canonical_sha256":"700668093abf4c22497a52891547f511843dce5299e6577cd85386c84569f2cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"700668093abf4c22497a52891547f511843dce5299e6577cd85386c84569f2cc","first_computed_at":"2026-05-18T02:24:55.188705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:55.188705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6vtrNJW3j0l+tpeMpTlCMlT+2xrdEDB+85ZhZxNRerYlON3JGFPvAuPqr4fJ84T+vUNHzI6Y4n32yf+QoWsRAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:55.189452Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.1450","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e36706a6f6e783ddfc307c36dad4f6c54df8983973d5dcd9010a2f8e4dc5635","sha256:277bb1a9375f7968edd5b49f2470e8368f955e9810ef7af4c8e52285df27049d"],"state_sha256":"2974d466631a68ca3b8111fce7b8de81f2eb086870ac8a06743055128fc6fc0b"}