{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TXK4J4DGE6OYI4ZY22G3IOUCCF","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":"27eae40dc58fc858e29ef668cb36ca952d33f85304852224e857fe26159c0053","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-21T22:47:11Z","title_canon_sha256":"f83b88ce1deada262c4637f55b723ef1a4c68d907d23cbf8fc25d76083bc8478"},"schema_version":"1.0","source":{"id":"1406.5655","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5655","created_at":"2026-05-18T02:40:47Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5655v1","created_at":"2026-05-18T02:40:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5655","created_at":"2026-05-18T02:40:47Z"},{"alias_kind":"pith_short_12","alias_value":"TXK4J4DGE6OY","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TXK4J4DGE6OYI4ZY","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TXK4J4DG","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:de37e04d6e54c97d4325453e86bc4845d2933ec34e05766d08e381c6f5056efe","target":"graph","created_at":"2026-05-18T02:40:47Z","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 review some recent results related to the notion of volume independence in SU(N) Yang-Mills theories. The topic is discussed in the context of gauge theories living on a d-dimensional torus with twisted boundary conditions. After a brief introduction reviewing the formalism for introducing gauge fields on a torus, we discuss how volume independence arises in perturbation theory. We show how, for appropriately chosen twist tensors, perturbative results to all orders in the 't Hooft coupling depend on a specific combination of the rank of the gauge group (N) and the periods of the torus (l) g","authors_text":"Antonio Gonzalez-Arroyo, Margarita Garcia Perez, Masanori Okawa","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-21T22:47:11Z","title":"Volume independence for Yang-Mills fields on the twisted torus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5655","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:f96da0f0438c23be31fee00ceb7cf9bae450d2ac28b3d93513e01e9f7bd9ba5d","target":"record","created_at":"2026-05-18T02:40:47Z","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":"27eae40dc58fc858e29ef668cb36ca952d33f85304852224e857fe26159c0053","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-21T22:47:11Z","title_canon_sha256":"f83b88ce1deada262c4637f55b723ef1a4c68d907d23cbf8fc25d76083bc8478"},"schema_version":"1.0","source":{"id":"1406.5655","kind":"arxiv","version":1}},"canonical_sha256":"9dd5c4f066279d847338d68db43a82116dbfc973fb934c2e91961ce768dbe395","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9dd5c4f066279d847338d68db43a82116dbfc973fb934c2e91961ce768dbe395","first_computed_at":"2026-05-18T02:40:47.106258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:47.106258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WGTgDz+l/syGvtIPIvcYla+Eg6Xu7i8KtVDKa3VPd2VZFYd23w1qtDOYdK9Mltqm+EiPSaddwbuTYv60ROAgAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:47.106704Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5655","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f96da0f0438c23be31fee00ceb7cf9bae450d2ac28b3d93513e01e9f7bd9ba5d","sha256:de37e04d6e54c97d4325453e86bc4845d2933ec34e05766d08e381c6f5056efe"],"state_sha256":"e41c4e829eeeaecea6d9ad0e193e00a5d6994fd10f3936197d21d72326f1b005"}