{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SW3YFRWFTOHJ5NDQJXKUTEOTEJ","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":"85f15ffedd78f7c7645d267104c4f9f5610797fe33629b5db1392b57fd762771","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-07-19T15:20:15Z","title_canon_sha256":"2d6d64cdfeb8f39063fff3bfc472c17ae2c648df6c263492ded0b023a1f01b8a"},"schema_version":"1.0","source":{"id":"1307.5254","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5254","created_at":"2026-05-18T03:18:05Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5254v1","created_at":"2026-05-18T03:18:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5254","created_at":"2026-05-18T03:18:05Z"},{"alias_kind":"pith_short_12","alias_value":"SW3YFRWFTOHJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SW3YFRWFTOHJ5NDQ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SW3YFRWF","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:51d459a8fd03dc9db1b3b2461225df436ace496e15dc9e2a33d617cff893cb8b","target":"graph","created_at":"2026-05-18T03:18:05Z","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 study the 2+1 dimensional SU(N) Yang-Mills theory on a finite two-torus with twisted boundary conditions. Our goal is to study the interplay between the rank of the group N, the length of the torus L and the Z_N magnetic flux. After presenting the classical and quantum formalism, we analyze the spectrum of the theory using perturbation theory to one-loop and using Monte Carlo techniques on the lattice. In perturbation theory, results to all orders depend on the combination x=\\lambda NL and an angle defined in terms of the magnetic flux (\\lambda\\ is 't Hooft coupling). Thus, fixing the angle","authors_text":"Antonio Gonz\\'alez-Arroyo, Margarita Garc\\'ia P\\'erez, Masanori Okawa","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-07-19T15:20:15Z","title":"Spatial volume dependence for 2+1 dimensional SU(N) Yang-Mills theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5254","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:b6b943c5f83ea98d950823017dcaa0528e062ff7c4a171a18efd97d0b90ff5aa","target":"record","created_at":"2026-05-18T03:18:05Z","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":"85f15ffedd78f7c7645d267104c4f9f5610797fe33629b5db1392b57fd762771","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2013-07-19T15:20:15Z","title_canon_sha256":"2d6d64cdfeb8f39063fff3bfc472c17ae2c648df6c263492ded0b023a1f01b8a"},"schema_version":"1.0","source":{"id":"1307.5254","kind":"arxiv","version":1}},"canonical_sha256":"95b782c6c59b8e9eb4704dd54991d3225bf53688bd662b94489aba5518fab7e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95b782c6c59b8e9eb4704dd54991d3225bf53688bd662b94489aba5518fab7e3","first_computed_at":"2026-05-18T03:18:05.311335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:05.311335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"esceQ/R4zjkRKqtJbvLXUjyoHV/e6nzLFA41LbFyeq5UF/WUG6+l2LB7uyJ+Ns0aobkAYCymGEl8/mdztzwgAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:05.311827Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.5254","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6b943c5f83ea98d950823017dcaa0528e062ff7c4a171a18efd97d0b90ff5aa","sha256:51d459a8fd03dc9db1b3b2461225df436ace496e15dc9e2a33d617cff893cb8b"],"state_sha256":"6464edaf16ed4dfc78d8010ac6cf0ceb953922fde0b4e43c257aad56048454d7"}