{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZCQ5NBXR2NAMTT2NO5DQVBBCNJ","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":"5a7caba893637db7a8592f22c7593d258f7a70d599d1ef10e8353c886ce17792","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-10T18:10:35Z","title_canon_sha256":"2d174c963218bcfce413f7f91d76ff205b4823e595716fbe9c9d0e731b45a32e"},"schema_version":"1.0","source":{"id":"1006.2101","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.2101","created_at":"2026-05-18T02:33:17Z"},{"alias_kind":"arxiv_version","alias_value":"1006.2101v2","created_at":"2026-05-18T02:33:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.2101","created_at":"2026-05-18T02:33:17Z"},{"alias_kind":"pith_short_12","alias_value":"ZCQ5NBXR2NAM","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"ZCQ5NBXR2NAMTT2N","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"ZCQ5NBXR","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:b893df3644a7325b014a5f7d8b0ff5641e2c3b4c3da3a636baa56c4df067d54f","target":"graph","created_at":"2026-05-18T02:33:17Z","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":"Consequences of large $N$ volume independence are examined in conformal and confining gauge theories. In the large $N$ limit, gauge theories compactified on $\\R^{d-k} \\times (S^1)^k$ are independent of the $S^1$ radii, provided the theory has unbroken center symmetry. In particular, this implies that a large $N$ gauge theory which, on $\\R^d$, flows to an IR fixed point, retains the infinite correlation length and other scale invariant properties of the decompactified theory even when compactified on $\\R^{d-k} \\times (S^1)^k$. In other words, finite volume effects are $1/N$ suppressed. In latti","authors_text":"Laurence G. Yaffe, Mithat Unsal","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-10T18:10:35Z","title":"Large-N volume independence in conformal and confining gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.2101","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":"sha256:814489226cd15241725e29512b7fb01ac48cb4ae1b020a6e379721a421afcef9","target":"record","created_at":"2026-05-18T02:33:17Z","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":"5a7caba893637db7a8592f22c7593d258f7a70d599d1ef10e8353c886ce17792","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-10T18:10:35Z","title_canon_sha256":"2d174c963218bcfce413f7f91d76ff205b4823e595716fbe9c9d0e731b45a32e"},"schema_version":"1.0","source":{"id":"1006.2101","kind":"arxiv","version":2}},"canonical_sha256":"c8a1d686f1d340c9cf4d77470a84226a4b5d1767eebce0c3394f4b4f7e961eed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8a1d686f1d340c9cf4d77470a84226a4b5d1767eebce0c3394f4b4f7e961eed","first_computed_at":"2026-05-18T02:33:17.347197Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:17.347197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qARIPkRTYonHxJzVJhBCJViSd7RkVPxv5N9w90PpNNkICRDCeYo7ulNjU4R39badVFlQBP2Lt0Y7IVlehkU3Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:17.347821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.2101","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:814489226cd15241725e29512b7fb01ac48cb4ae1b020a6e379721a421afcef9","sha256:b893df3644a7325b014a5f7d8b0ff5641e2c3b4c3da3a636baa56c4df067d54f"],"state_sha256":"c711e56bef57621936eccb365ec1eddf16189569c4c9d9c881aa6d10b9b5f74f"}