{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:QZWSTKTOYKQWZU6BQQ3QVVXCKP","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":"a55f383bd07fc4503f72456ecaff6f76d522d6c0ea5f9f5b233cdafb18e7f4e9","cross_cats_sorted":["cond-mat.stat-mech","hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"2006-05-30T08:23:41Z","title_canon_sha256":"e39c83bebfc4a73498c23729ef89b4d2b5f3b4f29678db5b3c46f57fc9d84669"},"schema_version":"1.0","source":{"id":"hep-th/0605285","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0605285","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0605285v1","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0605285","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"QZWSTKTOYKQW","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"QZWSTKTOYKQWZU6B","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"QZWSTKTO","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:265edb23dd9269effa81b341795307b963b30872da0793ddd9b26cafe8d38327","target":"graph","created_at":"2026-05-18T01:05:56Z","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 establish an exact mapping between the multiplication table of the irreducible representations of SU(3) and the fusion algebra of the two-dimensional conformal field theory in the same universality class of 3D SU(3) gauge theory at the deconfining point. In this way the Svetitsky-Yaffe conjecture on the critical behaviour of Polyakov lines in the fundamental representation naturally extends to whatever representation one considers.\n As a consequence, the critical exponents of the correlators of these Polyakov lines are determined. Monte Carlo simulations with sources in the symmetric two-in","authors_text":"Ferdinando Gliozzi, Silvia Necco","cross_cats":["cond-mat.stat-mech","hep-lat"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-05-30T08:23:41Z","title":"Critical exponents for higher-representation sources in 3D SU(3) gauge theory from CFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0605285","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":"sha256:8eeb86a9d0162c84c2364f83d1e930d83d471c017c53ccd0115a63c883d3cf60","target":"record","created_at":"2026-05-18T01:05:56Z","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":"a55f383bd07fc4503f72456ecaff6f76d522d6c0ea5f9f5b233cdafb18e7f4e9","cross_cats_sorted":["cond-mat.stat-mech","hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"2006-05-30T08:23:41Z","title_canon_sha256":"e39c83bebfc4a73498c23729ef89b4d2b5f3b4f29678db5b3c46f57fc9d84669"},"schema_version":"1.0","source":{"id":"hep-th/0605285","kind":"arxiv","version":1}},"canonical_sha256":"866d29aa6ec2a16cd3c184370ad6e253e021c65e24870a121d7438546887b1c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"866d29aa6ec2a16cd3c184370ad6e253e021c65e24870a121d7438546887b1c8","first_computed_at":"2026-05-18T01:05:56.742934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:56.742934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7FRqzAdbTORkbkTeyMK/Wo0fXEgXQGFC1VlzmhAixteXJgCwYV7wuDPKmBptT5hpYbVHxrEpNdafqZutYIqgCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:56.743421Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0605285","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8eeb86a9d0162c84c2364f83d1e930d83d471c017c53ccd0115a63c883d3cf60","sha256:265edb23dd9269effa81b341795307b963b30872da0793ddd9b26cafe8d38327"],"state_sha256":"41d0a5e37019dd672fd294c1583a7356782ef19163a7ef34c37efd1fc68c5c64"}