{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:FZWY7S3QHRVGZA5KZMVRPFVOUG","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":"cd2d5d5ec457b581d535e8a4e4de4c16c1f1152a090b271eaf93d33ea4dc201b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-09-01T15:48:58Z","title_canon_sha256":"2c1e1fbb2032d73617fb13bb362f567bc4d484b53258ad6841067d0a1e0abd65"},"schema_version":"1.0","source":{"id":"hep-th/0009009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0009009","created_at":"2026-05-18T02:36:12Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0009009v1","created_at":"2026-05-18T02:36:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0009009","created_at":"2026-05-18T02:36:12Z"},{"alias_kind":"pith_short_12","alias_value":"FZWY7S3QHRVG","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"FZWY7S3QHRVGZA5K","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"FZWY7S3Q","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:c98c84da4867910d3dfcd5442ba28c84a163b656d92fffb87c7c0df30c2bb445","target":"graph","created_at":"2026-05-18T02:36:12Z","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":"As shown by Hashimoto and Itzhaki in hep-th/9911057, the perturbative degrees of freedom of a non-commutative Yang-Mills theory (NCYM) on a torus are quasi-local only in a finite energy range. Outside that range one may resort to a Morita equivalent (or T-dual) description appropriate for that energy. In this note, we study NCYM on a non-commutative torus with an irrational deformation parameter $\\theta$. In that case, an infinite tower of dual descriptions is generically needed in order to describe the UV regime. We construct a hierarchy of dual descriptions in terms of the continued fraction","authors_text":"B. Pioline (Harvard, E. Rabinovici (Jerusalem), LPTHE), S. Elitzur (Jerusalem)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-09-01T15:48:58Z","title":"On the short-distance structure of irrational non-commutative gauge theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0009009","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:b6b7a513d8a81921268e67d73b3a00fce68bbeec9869e2609f13be4be52a21cb","target":"record","created_at":"2026-05-18T02:36:12Z","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":"cd2d5d5ec457b581d535e8a4e4de4c16c1f1152a090b271eaf93d33ea4dc201b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-09-01T15:48:58Z","title_canon_sha256":"2c1e1fbb2032d73617fb13bb362f567bc4d484b53258ad6841067d0a1e0abd65"},"schema_version":"1.0","source":{"id":"hep-th/0009009","kind":"arxiv","version":1}},"canonical_sha256":"2e6d8fcb703c6a6c83aacb2b1796aea1ae49ebfbce5f073e5510d59e9b2e41af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e6d8fcb703c6a6c83aacb2b1796aea1ae49ebfbce5f073e5510d59e9b2e41af","first_computed_at":"2026-05-18T02:36:12.857392Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:12.857392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j0s1gAqObLNJsITS8uQ68OQBTc9sQLimUgDnjlCR2HdxvmbtHrZe2kgQy98qHvBetZQZxOO+CItXa5hKCPzlCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:12.857902Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0009009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6b7a513d8a81921268e67d73b3a00fce68bbeec9869e2609f13be4be52a21cb","sha256:c98c84da4867910d3dfcd5442ba28c84a163b656d92fffb87c7c0df30c2bb445"],"state_sha256":"f9e783b56de522be1d4214162a4a9599bfaf7ab0553749871067d72f6ab51283"}